ASTRONOMICAL

PHENOMENA

FOR THE YEAR

2019

Prepared Jointly by

The Nautical Almanac Office

United States Naval Observatory

and

Her Majesty’s Nautical Almanac Office

United Kingdom Hydrographic Office

WASHINGTON

U.S. Government Publishing Office

2016
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ASTRONOMICAL PHENOMENA

FOR THE YEAR 2019

CONTENTS Page

Phenomena: Perihelion Passages of Comets ... ... ... ... ... ... ... ... ... ... 3

Seasons, Moon Phases, Eclipses ... ... ... ... ... ... ... ... ... 4

Occultations, Perigee and Apogee of the Moon ... ... ... ... ... ... 5

Geocentric and Heliocentric Planetary Phenomena ... ... ... ... ... 6

Visibility of the Planets ... ... ... ... ... ... ... ... ... ... ... 7, 8

Times of Meridian Passages of the Planets ... ... ... ... ... ... ... 9

Elongations and Magnitudes of the Planets ... ... ... ... ... ... ... 10

Diary of Configurations of the Sun, Moon and Planets ... ... ... ... 12

Chronological Cycles and Eras; Religious and Civil Holidays ... ... ... ... ... ... 15

Gregorian Calendar and Julian Day Numbers ... ... ... ... ... ... ... ... ... ... 16

Mean Sidereal Time ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 17

Sun: Equation of Time and Declination ... ... ... ... ... ... ... ... ... ... ... 18

Circumpolar Stars: Positions of Polaris and σ Octantis ... ... ... ... ... ... ... 20

International Time Zones ... ... ... ... ... ... ... ... ... ... ... ... ... ... 22

Explanation of Rising and Setting Tables ... ... ... ... ... ... ... ... ... ... 23

Sunrise and Sunset Tables ... ... ... ... ... ... ... ... ... ... ... ... ... ... 24

Moonrise and Moonset Tables ... ... ... ... ... ... ... ... ... ... ... ... ... 32

Eclipses ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 64

Transit of Mercury ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 82

Related Publications ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 89

Web Links ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 91

PREDICTED PERIHELION PASSAGES OF COMETS, 2019

Periodic comet Perihelion Period

date distance

T q(au) P(yr)

171P/Spahr Jan. 13 1·77 6·7

131P/Mueller Jan. 24 2·42 7·0

123P/West-Hartley Feb. 5 2·13 7·5

29P/Schwassmann-Wachmann Mar. 7 5·77 14·7

Periodic comet Perihelion Period

date distance

T q(au) P(yr)

78P/Gehrels Apr. 2 2·01 7·2

209P/LINEAR June 12 0·97 5·1

260P/McNaught Sept. 9 1·42 6·8

76P/West-Kohoutek-Ikemura Oct. 26 1·60 6·4
4 INTRODUCTORY NOTE

The astronomical data in this booklet are expressed in the scale of universal time (UT); this

is also known as Greenwich mean time (GMT) and is the standard time of the Greenwich

meridian (0◦ of longitude). A time in UT may be converted to local mean time by the

addition of east longitude (or subtraction of west longitude), where the longitude of the place

is expressed in time-measure at the rate of 1 hour for every 15◦. The differences between

standard times and UT are indicated in the chart on page 22; local clock times may, however,

differ from these standard times, especially in summer when clocks are often advanced by

1 hour.

PRINCIPAL PHENOMENA OF SUN AND MOON, 2019

THE SUN

d h d h m d h m

Perigee . .. Jan. 3 05 Equinoxes . .. Mar. 20 21 58 . .. . .. Sept. 23 07 50

Apogee . .. July 4 22 Solstices . .. June 21 15 54 . .. . .. Dec. 22 04 19

PHASES OF THE MOON

Lunation New Moon First Quarter Full Moon Last Quarter

d h m d h m d h m d h m

1188 Jan. 6 01 28 Jan. 14 06 46 Jan. 21 05 16 Jan. 27 21 10

1189 Feb. 4 21 04 Feb. 12 22 26 Feb. 19 15 54 Feb. 26 11 28

1190 Mar. 6 16 04 Mar. 14 10 27 Mar. 21 01 43 Mar. 28 04 10

1191 Apr. 5 08 50 Apr. 12 19 06 Apr. 19 11 12 Apr. 26 22 18

1192 May 4 22 46 May 12 01 12 May 18 21 11 May 26 16 34

1193 June 3 10 02 June 10 05 59 June 17 08 31 June 25 09 46

1194 July 2 19 16 July 9 10 55 July 16 21 38 July 25 01 18

1195 Aug. 1 03 12 Aug. 7 17 31 Aug. 15 12 29 Aug. 23 14 56

1196 Aug. 30 10 37 Sept. 6 03 10 Sept. 14 04 33 Sept. 22 02 41

1197 Sept. 28 18 26 Oct. 5 16 47 Oct. 13 21 08 Oct. 21 12 39

1198 Oct. 28 03 38 Nov. 4 10 23 Nov. 12 13 34 Nov. 19 21 11

1199 Nov. 26 15 06 Dec. 4 06 58 Dec. 12 05 12 Dec. 19 04 57

1200 Dec. 26 05 13

ECLIPSES AND TRANSIT OF MERCURY

A partial eclipse of the Sun Jan. 5-6 North eastern China, Mongolia, Japan,

eastern Russia, north Micronesia,

westernmost Alaska

A total eclipse of the Moon Jan. 21 Middle East, Africa, Europe, Americas, most

of Oceania, easternmost Russia.

A total eclipse of the Sun Jul. 2 Eastern Oceania, most of South America.

A partial eclipse of the Moon Jul. 16-17 Australasia, Asia except north east, Africa,

Europe except northernmost Scandinavia,

most of South America

A transit of Mercury Nov. 11 Middle East, most of Europe, Africa,

southern Greenland, Antarctica, South

America, North America (except Alaska),

most of Oceania, New Zealand

An annular eclipse of the Sun Dec. 26 Middle East, North Eastern Africa, Asia

except North and Eastern Russia, North

and Western Australia, Micronesia,

Solomon Islands

For further details see pages 64–88
LUNAR PHENOMENA, 2019 5

MOON AT PERIGEE MOON AT APOGEE

dh dh dh dh dh dh

Jan. 21 20 June 7 23 Oct. 26 11 Jan. 9 04 May 26 13 Oct. 10 18

Feb. 19 09 July 5 05 Nov. 23 08 Feb. 5 09 June 23 08 Nov. 7 09

Mar. 19 20 Aug. 2 07 Dec. 18 20 Mar. 4 11 July 21 00 Dec. 5 04

Apr. 16 22 Aug. 30 16 Apr. 1 00 Aug. 17 11

May 13 22 Sept. 28 02 Apr. 28 18 Sept. 13 14

OCCULTATIONS OF PLANETS AND BRIGHT STARS BY THE MOON

Date Body Areas of Visibility

d h

Jan. 31 18 Venus E. Micronesia, Polynesia

(except Hawaii), Galapagos

Is., S. Central America, N.W.

S. America

Feb. 2 07 Saturn N. and N.E. Africa, S. and

central Europe, Middle East,

W. Asia, parts of S. Russia

Feb. 2 20 Pluto N. Micronesia, Hawaii,

Aleutian Is., W. and central

North America (except

Alaska)

Feb. 6 08 Vesta Parts of western Russia

Mar. 1 18 Saturn Most of Micronesia,

Northern Polynesia (except

Hawaii), Central America, S.

North America

Mar. 2 04 Pluto N.E. Africa, S.W. Europe,

Middle East, India, most of

S. and E. Asia, most of

China, most of Mongolia

Mar.29 05 Saturn E. edge of Brazil, southern

Africa, Madagascar, S. tip of

India, Sri Lanka

Mar.29 12 Pluto W. and S. Mexico, Central

America, N. half of S.

America, Madeira, Cape

Verde Is., W. edge of Africa

Apr. 25 14 Saturn E. Australia, New Zealand,

W. South America

Apr. 25 20 Pluto Sri Lanka, Indonesia,

Australia, Melanesia, S.E.

Micronesia, N.W. Polynesia

May 2 13 Vesta Galapagos Is., N. South

America, Azores, Cape

Verde Is., N.W. Africa, S.

Europe

May 19 18 Ceres Parts of Antarctica

May 22 22 Saturn S. tip of Africa, parts of E.

Antarctica, Kerguelen Is.,

most of Australia, S. New

Zealand

May 23 04 Pluto Central South America, S.

and E. Africa

Date Body Areas of Visibility

d h

May 30 22 Vesta Parts of Indonesia, E. Asia,

N.W. Micronesia, Aleutian

Is., N.W. North America

June 15 15 Ceres Central and E. Russia, N.E.

Kazakhstan, N. and E.

China, Japan

June 19 04 Saturn Easter Island, S. South

America, Antarctic

Peninsula, southern Africa

June 19 11 Pluto Melanesia, N.E. Australia, S.

Micronesia, S. Polynesia,

Central America, W. South

America

July 4 06 Mars E. tip of Africa, Arabian

Peninsula, most of Asia,

Micronesia

July 16 07 Saturn E. Melanesia, S. Polynesia,

Easter Island, central South

America

July 16 17 Pluto E. Africa, Madagascar, S.

Indonesia, N. and W.

Australia, W. Micronesia

Aug.12 10 Saturn E. Indonesia, most of

Australia, N. New Zealand,

Melanesia, Polynesia (except

Hawaii)

Aug.12 22 Pluto N.E. South America,

Ascension Island, central and

E. Africa, S. Arabian

Peninsula

Sept. 8 14 Saturn E. Africa, Madagascar, S.

Indonesia, W. and N.

Australia, W. Micronesia, W.

Melanesia

Sept. 9 03 Pluto Polynesia (except Hawaii),

Easter Island, Galapagos Is.,

N. South America

Oct. 5 21 Saturn Easter Island, S. South

America, South Georgia,

Southern Africa

continued on page 14 ...
6 PLANETARY PHENOMENA, 2019

GEOCENTRIC PHENOMENA

MERCURY

dh dh dh

Superior conjunction ... Jan. 30 03 May 21 13 Sept. 4 02

Greatest elongation East Feb. 27 01 (18◦

) June 23 23 (25◦) Oct. 20 04 (25◦)

Stationary ... ... ... Mar. 5 05 July 7 04 Oct. 31 20

Inferior conjunction ... Mar. 15 02 July 21 13 Nov. 11 15

Stationary ... ... ... Mar. 27 12 July 31 19 Nov. 20 15

Greatest elongation West Apr. 11 20 (28◦

) Aug. 9 23 (19◦) Nov. 28 11 (20◦)

VENUS

d h d h

Greatest elongation West Jan. 6 05 (47◦) Superior conjunction ... Aug. 14 06

EARTH

d h d hm d hm

Perihelion ... Jan. 3 05 Equinoxes ... Mar. 20 21 58 ... ... Sept. 23 07 50

Aphelion ... July 4 22 Solstices ... June 21 15 54 ... ... Dec. 22 04 19

SUPERIOR PLANETS

Conjunction Stationary Opposition Stationary

dh dh dh dh

Mars ... ... ... ... ... Sept. 2 11 — — —

Jupiter ... ... ... ... ... Dec. 27 18 | Apr. 10 17 June 10 15 Aug. 11 16

Saturn ... ... ... ... ... Jan. 2 06 Apr. 30 02 July 9 17 Sept. 18 06

Uranus ... ... ... ... ... Apr. 22 23 Aug. 12 06 Oct. 28 08 | Jan. 7 02

Neptune ... ... ... ... ... Mar. 7 01 June 22 04 Sept. 10 07 Nov. 27 20

The vertical bars indicate where the dates for the planet are not in chronological order.

HELIOCENTRIC PHENOMENA

Aphelion Perihelion Descending Greatest Ascending Greatest

Node Lat. South Node Lat. North

Mercury Jan. 12 Feb. 25 Jan. 1 Feb. 1 Feb. 20 Mar. 7

Apr. 10 May 24 Mar. 30 Apr. 30 May 19 June 3

July 7 Aug. 20 June 26 July 27 Aug. 15 Aug. 30

Oct. 3 Nov. 16 Sept. 22 Oct. 23 Nov. 11 Nov. 26

Dec. 30 — Dec. 19 — — —

Venus Apr. 18 Aug. 8 Mar. 14 May 10 July 5 Jan. 17

Nov. 28 — Oct. 25 Dec. 20 — Aug. 30

Mars Aug. 26 — — — Jan. 15 July 18

Jupiter, Saturn, Uranus, Neptune: None in 2019
PHENOMENA, 2019 7

VISIBILITY OF PLANETS

MERCURY can only be seen low in the east before sunrise, or low in the west after sunset (about

the time of beginning or end of civil twilight). It is visible in the mornings between the following

approximate dates: January 1 to January 15, March 22 to May 14, July 30 to August 26 and November

18 to December 25. The planet is brighter at the end of each period, (the best conditions in northern

latitudes occur from late November to early December and in southern latitudes in mid-April). It is

visible in the evenings between the following approximate dates: February 11 to March 8, May 29 to

July 13, and September 15 to November 6. The planet is brighter at the beginning of each period, (the

best conditions in northern latitudes occur in late February and in southern latitudes in mid-October).

Mercury transits the Sun’s disk on November 11 at 12h 35m to 18h 04m; the event is visible from

westernmost Russia, Middle East, Europe, Africa, South America, North America except the extreme

north, most of the Pacific Ocean and New Zealand.

VENUS is a brilliant object in the morning sky from the beginning of the year until the second week of

July when it becomes too close to the Sun for observation. It reappears in the second half of September

in the evening sky where it stays until the end of the year. Venus is in conjunction with Mercury on

October 30, with Jupiter on January 22 and November 24 and with Saturn on February 18 and December

11.

MARS is visible as a reddish object in Pisces in the evening sky at the beginning of the year. Its eastward

elongation decreases as it moves through Aries from mid-February, Taurus from late March (passing

7

◦ N of Aldebaran on April 16), into Gemini from mid-May (passing 6◦ S of Pollux on June 23) and

into Cancer in late June. It becomes too close to the Sun for observation in mid-July. It reappears in the

morning sky during the third week of October in Virgo (passing 3◦ N of Spica on November 8) and then

moves into Libra early in December, where it remains for the rest of the year. Mars is in conjunction

with Mercury on June 18 and July 7.

JUPITER is visible in the morning sky in Ophiuchus at the beginning of the year. Its westward elongation

increases and from mid-March it can be seen for more than half the night. It is at opposition on June

10 when it is visible throughout the night. By early September it can only be seen in the evening sky.

It moves into Sagittarius in mid-November and from mid-December becomes too close to the Sun for

observation. Jupiter is in conjunction with Venus on January 22 and November 24.

SATURN is too close to the Sun for observation from the beginning of the year until the third week of

January when it rises just before sunrise in Sagittarius, in which constellation it remains throughout the

year. Its westward elongation increases and in mid-April it becomes visible for more than half the night.

It is at opposition on July 9 when it can be seen throughout the night. From early October until late

December it can only be seen in the evening sky and then becomes too close to the Sun for observation

for the remainder of the year. Saturn is in conjunction with Venus on February 18 and December 11.

URANUS is visible at the beginning of the year in Pisces and by mid-January can only be seen in the

evening sky, moving into Aries in early February. In early April it becomes too close to the Sun for

observation. It reappears in mid-May in the morning sky and is at opposition on October 28. Its eastward

elongation then gradually decreases but can be seen for more than half the night for the remainder of

the year.

NEPTUNE is visible at the beginning of the year in the evening sky in Aquarius and remains in this

constellation throughout the year. In mid-February it becomes too close to the Sun for observation and

reappears in late March in the morning sky. Neptune is at opposition on September 10 and from early

December can only be seen in the evening sky.

DO NOT CONFUSE (1) Venus with Jupiter in late January and late November, with Saturn in midFebruary and mid-December and with Mercury in mid-April, late September and late October to early

November; on all occasions Venus is the brighter object. (2) Mercury with Mars from mid-June to

mid-July when Mercury is the brighter object.

VISIBILITY OF PLANETS IN MORNING AND EVENING TWILIGHT

Morning Evening

Venus January 1 – July 8 September 20 – December 31

Mars January 1 – July 18

October 17 – December 31

Jupiter January 1 – June 10 June 10 – December 15

Saturn January 19 – July 9 July 9 – December 27
8 PHENOMENA, 2019

VISIBILITY OF PLANETS

The planet diagram on page 9 shows, in graphical form for any date during the year, the

local mean times of meridian passage of the Sun, of the five planets, Mercury, Venus, Mars,

Jupiter and Saturn, and of every 2h of right ascension. Intermediate lines, corresponding to

particular stars, may be drawn in by the user if desired. The diagram is intended to provide a

general picture of the availability of planets and stars for observation during the year.

On each side of the line marking the time of meridian passage of the Sun, a band 45m wide

is shaded to indicate that planets and most stars crossing the meridian within 45m of the Sun

are generally too close to the Sun for observation.

For any date the diagram provides immediately the local mean time of meridian passage of

the Sun, planets and stars, and thus the following information:

a) whether a planet or star is too close to the Sun for observation;

b) visibility of a planet or star in the morning or evening;

c) location of a planet or star during twilight;

d) proximity of planets to stars or other planets.

When the meridian passage of a body occurs at midnight, it is close to opposition to the

Sun and is visible all night, and may be observed in both morning and evening twilights. As

the time of meridian passage decreases, the body ceases to be observable in the morning, but

its altitude above the eastern horizon during evening twilight gradually increases until it is on

the meridian at evening twilight. From then onwards the body is observable above the western

horizon, its altitude at evening twilight gradually decreasing, until it becomes too close to the

Sun for observation. When it again becomes visible, it is seen in the morning twilight, low in

the east. Its altitude at morning twilight gradually increases until meridian passage occurs at

the time of morning twilight, then as the time of meridian passage decreases to 0h

, the body

is observable in the west in the morning twilight with a gradually decreasing altitude, until it

once again reaches opposition.

Notes on the visibility of the planets are given on page 7. Further information on the

visibility of planets may be obtained from the diagram below which shows, in graphical form

for any date during the year, the declinations of the bodies plotted on the planet diagram on

page 9.

JAN. FEB. MAR. APR. MAY JUNE JULY AUG. SEPT. OCT. NOV. DEC.

S30o

S20o

S10o

 0o

N10o

N20o

N30o

SUN

SUN

MERCURY

MERCURY

VENUS

VENUS

MARS

MARS

JUPITER

SATURN

DECLINATION OF SUN AND PLANETS, 2019
00h

0

02h04h06h08h

08h

10h

10h

10h

12h

12h

12h

14h

14h

14h

16h

16h

16h

18h

18h

20h

20h

20h

22h

22h

22h

SUN

LOCAL MEAN TIME OF MERIDIAN PASSAGE

JANUARYJANUARY

10

10

20

20

FEBRUARYFEBRUARY

10

10

2020

MARCHMARCH

10

10

2020

APRILAPRIL

10

10

2020

MAYMAY

1010

2020

JUNEJUNE

10

10

2020

JULYJULY

10

10

2020

AUGUSTAUGUST

10

10

2020

SEPTEMSEPTEM

10

10

00 

01 

02 

03 

04 

05 

06 

07 

08 

09 

10 

11 12 13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 24

h

MERCURY

VENUS 

MARS

JUPITER

JU

SATURN
10 PHENOMENA, 2019

ELONGATIONS AND MAGNITUDES OF PLANETS AT 0h UT

Mercury Venus Mercury Venus

Date Date

Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag.

◦◦ ◦◦

Jan. −3 W. 18 −0·4 W. 47 −4·7 July 1 E. 24 +1·0 W. 12 −3·9

2 W. 16 −0·4 W. 47 −4·6 6 E. 21 +1·6 W. 11 −3·9

7 W. 14 −0·5 W. 47 −4·6 11 E. 16 +2·6 W. 9 −3·9

12 W. 11 −0·6 W. 47 −4·5 16 E. 10 +4·0 W. 8 −3·9

17 W. 8 −0·8 W. 47 −4·5 21 E. 5 +5·4 W. 7 −3·9

22 W. 6 −1·0 W. 46 −4·4 26 W. 9 +4·2 W. 5 −3·9

27 W. 3 −1·3 W. 46 −4·4 31 W. 14 +2·3 W. 4 −3·9

Feb. 1 E. 2 −1·5 W. 45 −4·3 Aug. 5 W. 18 +0·9 W. 3 −4·0

6 E. 5 −1·4 W. 45 −4·3 10 W. 19 0·0 W. 2 −4·0

11 E. 9 −1·2 W. 44 −4·2 15 W. 18 −0·7 E. 1 ·

16 E. 13 −1·1 W. 43 −4·2 20 W. 15 −1·1 E. 2 −4·0

21 E. 16 −1·0 W. 42 −4·2 25 W. 10 −1·4 E. 3 −4·0

26 E. 18 −0·6 W. 41 −4·1 30 W. 5 −1·7 E. 5 −3·9

Mar. 3 E. 17 +0·3 W. 41 −4·1 Sept. 4 W. 2 −1·9 E. 6 −3·9

8 E. 13 +2·0 W. 40 −4·1 9 E. 5 −1·4 E. 7 −3·9

13 E. 5 +4·8 W. 39 −4·0 14 E. 9 −0·9 E. 8 −3·9

18 W. 6 +4·6 W. 38 −4·0 19 E. 12 −0·6 E. 10 −3·9

23 W. 15 +2·5 W. 37 −4·0 24 E. 15 −0·4 E. 11 −3·9

28 W. 21 +1·4 W. 36 −4·0 29 E. 18 −0·2 E. 12 −3·9

Apr. 2 W. 25 +0·7 W. 35 −3·9 Oct. 4 E. 20 −0·2 E. 14 −3·9

7 W. 27 +0·4 W. 33 −3·9 9 E. 22 −0·1 E. 15 −3·9

12 W. 28 +0·2 W. 32 −3·9 14 E. 24 −0·1 E. 16 −3·8

17 W. 27 +0·1 W. 31 −3·9 19 E. 25 −0·1 E. 17 −3·8

22 W. 26 0·0 W. 30 −3·9 24 E. 24 −0·1 E. 19 −3·8

27 W. 23 −0·2 W. 29 −3·9 29 E. 22 +0·1 E. 20 −3·8

May 2 W. 20 −0·4 W. 28 −3·8 Nov. 3 E. 17 +1·0 E. 21 −3·8

7 W. 16 −0·7 W. 26 −3·8 8 E. 8 +3·3 E. 22 −3·8

12 W. 11 −1·1 W. 25 −3·8 13 W. 3 · E. 24 −3·8

17 W. 5 −1·7 W. 24 −3·8 18 W. 13 +1·3 E. 25 −3·9

22 E. 1 −2·4 W. 23 −3·8 23 W. 19 −0·1 E. 26 −3·9

27 E. 7 −1·7 W. 21 −3·8 28 W. 20 −0·6 E. 27 −3·9

June 1 E. 12 −1·1 W. 20 −3·8 Dec. 3 W. 19 −0·6 E. 28 −3·9

6 E. 17 −0·7 W. 19 −3·8 8 W. 18 −0·6 E. 29 −3·9

11 E. 21 −0·4 W. 17 −3·8 13 W. 15 −0·6 E. 30 −3·9

16 E. 24 −0·1 W. 16 −3·8 18 W. 13 −0·6 E. 31 −3·9

21 E. 25 +0·2 W. 15 −3·8 23 W. 10 −0·7 E. 33 −3·9

26 E. 25 +0·6 W. 13 −3·8 28 W. 8 −0·8 E. 34 −3·9

July 1 E. 24 +1·0 W. 12 −3·9 33 W. 5 −1·0 E. 35 −4·0

SELECTED DWARF AND MINOR PLANETS

Conjunction Stationary Opposition Stationary

Ceres ... ... — Apr. 8 May 28 July 19

Pallas ... ... Dec. 3 | Mar. 5 Apr. 10 June 3

Juno ... ... Aug. 22 — — —

Vesta ... ... Mar. 7 Sept. 25 Nov. 12 —

Pluto ... ... Jan. 11 Apr. 25 July 14 Oct. 2
PHENOMENA, 2019 11

ELONGATIONS AND MAGNITUDES OF PLANETS AT 0h UT

Mars Jupiter Saturn Uranus Neptune

Date

Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag. Elong. Mag.

◦◦◦◦◦

Jan. −3 E. 81 +0·4 W. 25 −1·8 E. 5 +0·5 E. 112 +5·8 E. 68 +7·9

7 E. 78 +0·5 W. 33 −1·8 W. 4 +0·5 E. 102 +5·8 E. 58 +7·9

17 E. 74 +0·7 W. 42 −1·8 W. 13 +0·5 E. 92 +5·8 E. 48 +7·9

27 E. 71 +0·8 W. 50 −1·9 W. 22 +0·6 E. 82 +5·8 E. 38 +7·9

Feb. 6 E. 67 +0·9 W. 58 −1·9 W. 31 +0·6 E. 72 +5·8 E. 28 +8·0

16 E. 64 +1·0 W. 67 −2·0 W. 40 +0·6 E. 62 +5·8 E. 18 +8·0

26 E. 61 +1·2 W. 76 −2·0 W. 50 +0·6 E. 53 +5·9 E. 9 +8·0

Mar. 8 E. 57 +1·2 W. 84 −2·1 W. 59 +0·6 E. 43 +5·9 W. 1 +8·0

18 E. 54 +1·3 W. 94 −2·1 W. 68 +0·6 E. 33 +5·9 W. 11 +8·0

28 E. 51 +1·4 W. 103 −2·2 W. 77 +0·6 E. 24 +5·9 W. 20 +8·0

Apr. 7 E. 48 +1·5 W. 113 −2·3 W. 87 +0·6 E. 15 +5·9 W. 30 +8·0

17 E. 44 +1·6 W. 122 −2·4 W. 96 +0·5 E. 6 +5·9 W. 39 +7·9

27 E. 41 +1·6 W. 133 −2·4 W. 106 +0·5 W. 4 +5·9 W. 49 +7·9

May 7 E. 38 +1·7 W. 143 −2·5 W. 116 +0·4 W. 13 +5·9 W. 58 +7·9

17 E. 35 +1·7 W. 153 −2·5 W. 126 +0·4 W. 22 +5·9 W. 67 +7·9

27 E. 32 +1·7 W. 164 −2·6 W. 135 +0·3 W. 31 +5·9 W. 77 +7·9

June 6 E. 28 +1·8 W. 175 −2·6 W. 146 +0·2 W. 40 +5·9 W. 86 +7·9

16 E. 25 +1·8 E. 174 −2·6 W. 156 +0·2 W. 49 +5·9 W. 96 +7·9

26 E. 22 +1·8 E. 163 −2·6 W. 166 +0·1 W. 58 +5·8 W. 105 +7·9

July 6 E. 19 +1·8 E. 153 −2·6 W. 176 +0·1 W. 68 +5·8 W. 115 +7·9

16 E. 16 +1·8 E. 142 −2·5 E. 174 +0·1 W. 77 +5·8 W. 125 +7·8

26 E. 13 +1·8 E. 132 −2·5 E. 163 +0·1 W. 86 +5·8 W. 134 +7·8

Aug. 5 E. 9 +1·8 E. 122 −2·4 E. 153 +0·2 W. 96 +5·8 W. 144 +7·8

15 E. 6 +1·8 E. 113 −2·3 E. 143 +0·2 W. 105 +5·8 W. 154 +7·8

25 E. 3 +1·8 E. 103 −2·3 E. 133 +0·3 W. 115 +5·7 W. 164 +7·8

Sept. 4 W. 1 +1·7 E. 94 −2·2 E. 123 +0·3 W. 125 +5·7 W. 174 +7·8

14 W. 4 +1·8 E. 85 −2·1 E. 113 +0·4 W. 135 +5·7 E. 176 +7·8

24 W. 7 +1·8 E. 77 −2·1 E. 103 +0·4 W. 145 +5·7 E. 166 +7·8

Oct. 4 W. 11 +1·8 E. 68 −2·0 E. 94 +0·5 W. 155 +5·7 E. 156 +7·8

14 W. 14 +1·8 E. 60 −2·0 E. 84 +0·5 W. 165 +5·7 E. 146 +7·8

24 W. 17 +1·8 E. 52 −1·9 E. 75 +0·5 W. 175 +5·7 E. 136 +7·8

Nov. 3 W. 21 +1·8 E. 43 −1·9 E. 65 +0·6 E. 174 +5·7 E. 126 +7·8

13 W. 24 +1·8 E. 35 −1·9 E. 56 +0·6 E. 164 +5·7 E. 116 +7·9

23 W. 28 +1·7 E. 27 −1·9 E. 47 +0·6 E. 153 +5·7 E. 106 +7·9

Dec. 3 W. 31 +1·7 E. 20 −1·8 E. 38 +0·6 E. 143 +5·7 E. 95 +7·9

13 W. 35 +1·7 E. 12 −1·8 E. 29 +0·6 E. 132 +5·7 E. 85 +7·9

23 W. 38 +1·6 E. 4 −1·8 E. 20 +0·6 E. 122 +5·7 E. 75 +7·9

33 W. 42 +1·6 W. 4 −1·8 E. 10 +0·5 E. 112 +5·7 E. 65 +7·9

VISUAL MAGNITUDES OF SELECTED DWARF & MINOR PLANETS

Jan. 7 Feb. 16 Mar. 28 May 7 June 16 July 26 Sept. 4 Oct. 14 Nov. 23 Dec. 33

Ceres 8·9 8·7 8·2 7·5 7·4 8·3 8·9 9·1 9·2 8·9

Pallas 8·9 8·4 7·9 8·4 9·2 9·7 10·0 10·1 10·1 10·2

Juno 8·3 9·1 9·6 10·0 10·2 10·3 10·3 10·7 10·8 10·6

Vesta 8·0 7·9 8·0 8·2 8·3 8·1 7·6 7·0 6·6 7·4

Pluto 15·0 15·1 15·1 15·1 15·0 14·9 15·0 15·1 15·1 15·0
12 DIARY OF PHENOMENA, 2019

CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

Jan. 1 22 Venus 1◦.3 S. of Moon

2 06 Saturn in conjunction with Sun

3 05 Earth at perihelion

3 08 Jupiter 3◦ S. of Moon

6 01 NEW MOON Eclipse

6 05 Venus greatest elong. W. (47◦

)

7 02 Uranus stationary

9 04 Moon at apogee

10 22 Neptune 3◦ N. of Moon

11 12 Pluto in conjunction with Sun

12 20 Mars 5◦ N. of Moon

14 07 FIRST QUARTER

14 12 Uranus 5◦ N. of Moon

15 21 Venus 8◦ N. of Antares

21 05 FULL MOON Eclipse

21 20 Moon at perigee

22 06 Venus 2◦ N. of Jupiter

27 21 LAST QUARTER

30 03 Mercury in superior conjunction

31 00 Jupiter 3◦ S. of Moon

31 18 Venus 0◦.09 S. of Moon Occn.

Feb. 2 07 Saturn 0◦.6 S. of Moon Occn.

2 20 Pluto 0◦.6 S. of Moon Occn.

4 21 NEW MOON

5 09 Moon at apogee

6 08 Vesta 1◦.1 S. of Moon Occn.

7 06 Neptune 3◦ N. of Moon

10 16 Mars 6◦ N. of Moon

10 20 Uranus 5◦ N. of Moon

12 22 FIRST QUARTER

13 20 Mars 1◦.1 N. of Uranus

18 14 Venus 1◦.1 N. of Saturn

19 09 Moon at perigee

19 16 FULL MOON

26 11 LAST QUARTER

27 01 Mercury greatest elong. E. (18◦)

27 14 Jupiter 2◦ S. of Moon

Mar. 1 18 Saturn 0◦.3 S. of Moon Occn.

2 04 Pluto 0◦.5 S. of Moon Occn.

2 21 Venus 1◦.2 N. of Moon

4 11 Moon at apogee

5 02 Pallas stationary

5 05 Mercury stationary

6 16 NEW MOON

7 01 Neptune in conjunction with Sun

7 22 Vesta in conjunction with Sun

10 04 Uranus 5◦ N. of Moon

11 12 Mars 6◦ N. of Moon

14 10 FIRST QUARTER

d h

Mar. 15 02 Mercury in inferior conjunction

19 20 Moon at perigee

20 22 Equinox

21 02 FULL MOON

27 02 Jupiter 1◦.9 S. of Moon

27 12 Mercury stationary

28 04 LAST QUARTER

29 05 Saturn 0◦.05 N. of Moon Occn.

29 12 Pluto 0◦.3 S. of Moon Occn.

Apr. 1 00 Moon at apogee

2 04 Venus 3◦ N. of Moon

2 19 Mercury 0◦.4 N. of Neptune

2 23 Mercury 4◦ N. of Moon

2 23 Neptune 3◦ N. of Moon

5 09 NEW MOON

6 13 Uranus 5◦ N. of Moon

8 21 Ceres stationary

9 07 Mars 5◦ N. of Moon

10 01 Pallas at opposition

10 04 Venus 0◦.3 S. of Neptune

10 17 Jupiter stationary

11 20 Mercury greatest elong. W. (28◦

)

12 19 FIRST QUARTER

16 22 Mars 7◦ N. of Aldebaran

16 22 Moon at perigee

19 11 FULL MOON

22 23 Uranus in conjunction with Sun

23 12 Jupiter 1◦.6 S. of Moon

25 09 Pluto stationary

25 14 Saturn 0◦.4 N. of Moon Occn.

25 20 Pluto 0◦.07 S. of Moon Occn.

26 22 LAST QUARTER

28 18 Moon at apogee

30 02 Saturn stationary

30 08 Neptune 3◦ N. of Moon

May 2 12 Venus 4◦ N. of Moon

2 13 Vesta 0◦.2 S. of Moon Occn.

3 06 Mercury 3◦ N. of Moon

4 23 NEW MOON

8 00 Mars 3◦ N. of Moon

12 01 FIRST QUARTER

13 22 Moon at perigee

18 08 Venus 1◦.2 S. of Uranus

18 21 FULL MOON

19 18 Ceres 1◦.2 N. of Moon Occn.

20 17 Jupiter 1◦.7 S. of Moon

21 13 Mercury in superior conjunction

22 22 Saturn 0◦.5 N. of Moon Occn.

23 04 Pluto 0◦.07 N. of Moon Occn.

26 13 Moon at apogee
DIARY OF PHENOMENA, 2019 13

CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

May 26 17 LAST QUARTER

27 17 Neptune 4◦ N. of Moon

28 23 Ceres at opposition

30 22 Vesta 0◦.6 S. of Moon Occn.

31 10 Uranus 5◦ N. of Moon

June 1 18 Venus 3◦ N. of Moon

3 02 Pallas stationary

3 10 NEW MOON

4 16 Mercury 4◦ N. of Moon

5 15 Mars 1◦.6 N. of Moon

7 23 Moon at perigee

10 06 FIRST QUARTER

10 15 Jupiter at opposition

15 15 Ceres 0◦.9 S. of Moon Occn.

16 19 Jupiter 2◦ S. of Moon

17 09 FULL MOON

17 21 Venus 5◦ N. of Aldebaran

18 15 Mercury 0◦.2 N. of Mars

19 04 Saturn 0◦.4 N. of Moon Occn.

19 11 Pluto 0◦.07 N. of Moon Occn.

21 05 Mercury 6◦ S. of Pollux

21 16 Solstice

22 04 Neptune stationary

23 07 Mars 6◦ S. of Pollux

23 08 Moon at apogee

23 23 Mercury greatest elong. E. (25◦)

24 01 Neptune 4◦ N. of Moon

25 10 LAST QUARTER

27 22 Uranus 5◦ N. of Moon

July 2 19 NEW MOON Eclipse

4 06 Mars 0◦.09 S. of Moon Occn.

4 09 Mercury 3◦ S. of Moon

4 22 Earth at aphelion

5 05 Moon at perigee

7 04 Mercury stationary

7 14 Mercury 4◦ S. of Mars

9 11 FIRST QUARTER

9 17 Saturn at opposition

13 20 Jupiter 2◦ S. of Moon

14 15 Pluto at opposition

16 07 Saturn 0◦.2 N. of Moon Occn.

16 17 Pluto 0◦.04 S. of Moon Occn.

16 22 FULL MOON Eclipse

19 17 Ceres stationary

21 00 Moon at apogee

21 08 Neptune 4◦ N. of Moon

21 13 Mercury in inferior conjunction

25 01 LAST QUARTER

25 07 Uranus 5◦ N. of Moon

31 19 Mercury stationary

d h

Aug. 1 03 NEW MOON

2 07 Moon at perigee

5 22 Mercury 9◦ S. of Pollux

7 18 FIRST QUARTER

9 23 Jupiter 2◦ S. of Moon

9 23 Mercury greatest elong. W. (19◦

)

11 16 Jupiter stationary

12 06 Uranus stationary

12 10 Saturn 0◦.04 N. of Moon Occn.

12 22 Pluto 0◦.1 S. of Moon Occn.

14 06 Venus in superior conjunction

15 12 FULL MOON

17 11 Moon at apogee

17 13 Neptune 4◦ N. of Moon

21 15 Uranus 5◦ N. of Moon

22 22 Juno in conjunction with Sun

23 15 LAST QUARTER

30 11 NEW MOON

30 16 Moon at perigee

Sept. 2 11 Mars in conjunction with Sun

4 02 Mercury in superior conjunction

6 03 FIRST QUARTER

6 07 Jupiter 2◦ S. of Moon

8 14 Saturn 0◦.04 N. of Moon Occn.

9 03 Pluto 0◦.08 S. of Moon Occn.

10 07 Neptune at opposition

13 14 Moon at apogee

13 18 Neptune 4◦ N. of Moon

14 05 FULL MOON

17 20 Uranus 4◦ N. of Moon

18 06 Saturn stationary

22 03 LAST QUARTER

23 08 Equinox

25 05 Vesta stationary

28 02 Moon at perigee

28 18 NEW MOON

28 23 Mercury 1◦.4 N. of Spica

29 22 Mercury 6◦ S. of Moon

Oct. 2 21 Pluto stationary

3 01 Venus 3◦ N. of Spica

3 20 Jupiter 1◦.9 S. of Moon

5 17 FIRST QUARTER

5 21 Saturn 0◦.3 N. of Moon Occn.

6 09 Pluto 0◦.1 N. of Moon Occn.

10 18 Moon at apogee

10 23 Neptune 4◦ N. of Moon

13 21 FULL MOON
14 DIARY OF PHENOMENA, 2019

CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

Oct. 15 00 Uranus 4◦ N. of Moon

20 04 Mercury greatest elong. E. (25◦

)

21 13 LAST QUARTER

26 11 Moon at perigee

26 17 Mars 5◦ S. of Moon

28 04 NEW MOON

28 08 Uranus at opposition

29 14 Venus 4◦ S. of Moon

29 15 Mercury 7◦ S. of Moon

30 08 Mercury 3◦ S. of Venus

31 14 Jupiter 1◦.3 S. of Moon

31 20 Mercury stationary

Nov. 2 07 Saturn 0◦.6 N. of Moon Occn.

2 18 Pluto 0◦.4 N. of Moon Occn.

4 10 FIRST QUARTER

7 05 Neptune 4◦ N. of Moon

7 09 Moon at apogee

8 15 Mars 3◦ N. of Spica

9 11 Venus 4◦ N. of Antares

11 04 Uranus 4◦ N. of Moon

11 15 Mercury in inferior conjunction,

transit over Sun

12 09 Vesta at opposition

12 14 FULL MOON

19 21 LAST QUARTER

20 15 Mercury stationary

23 08 Moon at perigee

24 09 Mars 4◦ S. of Moon

d h

Nov. 24 14 Venus 1◦.4 S. of Jupiter

25 03 Mercury 1◦.9 S. of Moon

26 15 NEW MOON

27 20 Neptune stationary

28 11 Jupiter 0◦.7 S. of Moon

28 11 Mercury greatest elong. W. (20◦

)

28 19 Venus 1◦.9 S. of Moon Occn.

29 21 Saturn 0◦.9 N. of Moon Occn.

30 04 Pluto 0◦.5 N. of Moon Occn.

Dec. 3 02 Pallas in conjunction with Sun

4 07 FIRST QUARTER

4 12 Neptune 4◦ N. of Moon

5 04 Moon at apogee

8 11 Uranus 5◦ N. of Moon

11 05 Venus 1◦.8 S. of Saturn

12 05 FULL MOON

15 16 Mercury 5◦ N. of Antares

18 20 Moon at perigee

19 05 LAST QUARTER

22 04 Solstice

23 02 Mars 4◦ S. of Moon

26 05 NEW MOON Eclipse

27 12 Saturn 1◦.2 N. of Moon

27 15 Pluto 0◦.6 N. of Moon Occn.

27 18 Jupiter in conjunction with Sun

29 02 Venus 1◦.0 N. of Moon Occn.

31 21 Neptune 4◦ N. of Moon

... continued from page 5

OCCULTATIONS OF PLANETS AND BRIGHT STARS BY THE MOON

Date Body Areas of Visibility

d h

Oct. 6 09 Pluto Australia, Melanesia, S.E.

Micronesia, W. Polynesia

Nov. 2 07 Saturn Kerguelen Is., Prince Edward

Island, E. Antarctica, S.

Tasmania, New Zealand, S.

Polynesia

Nov. 2 18 Pluto S. South America, South

Georgia, southern Africa,

Madagascar

Nov.28 11 Jupiter N. Africa, most of Europe,

Middle East, W. Asia

Date Body Areas of Visibility

d h

Nov.29 21 Saturn S. New Zealand, Antarctica,

South Georgia

Nov.30 04 Pluto S. Australasia, Kerguelen Is.,

parts of Antarctica, S.E.

Polynesia

Dec. 27 15 Pluto S. South America, South

Georgia, parts of Antarctica,

Kerguelen Is., S. tip of

Africa, S. Madagascar

Dec. 29 02 Venus Antarctica, S. tip of South

America

Maps showing the areas of visibility may be found on AsA-Online.
CALENDAR, 2019 15

CHRONOLOGICAL CYCLES AND ERAS

Dominical Letter ... ... ... ... F Julian Period (year of) ... ... ... 6732

Epact ... ... ... ... ... ... ... 24 Roman Indiction ... ... ... ... 12

Golden Number (Lunar Cycle) ... VI Solar Cycle ... ... ... ... ... ... 12

All dates are given in terms of the Gregorian calendar in which

2019 January 14 corresponds to 2019 January 1 of the Julian calendar.

ERA YEAR BEGINS ERA YEAR BEGINS

Byzantine ... ... ... 7528 Sept. 14 Japanese ... ... ... 2679 Jan. 1

Jewish (A.M.)* ... ... 5780 Sept. 29 Seleucidæ (Grecian) ... 2331 Sept. 14

Chinese (jˇı hài) ... ... Feb. 5 (or Oct. 14)

Roman (A.U.C.) ... ... 2772 Jan. 14 Saka (Indian) ... ... 1941 Mar. 22

Nabonassar ... ... ... 2768 Apr. 19 Diocletian (Coptic) ... 1736 Sept. 12

Islamic (Hegira)* ... 1441 Aug. 31

* Year begins at sunset

RELIGIOUS CALENDARS

Epiphany ... ... ... ... ... Jan. 6 Ascension Day ... ... ... ... May 30

Ash Wednesday ... ... ... Mar. 6 Whit Sunday—Pentecost ... June 9

Palm Sunday ... ... ... ... Apr. 14 Trinity Sunday ... ... ... ... June 16

Good Friday ... ... ... ... Apr. 19 First Sunday in Advent ... ... Dec. 1

Easter Day ... ... ... ... ... Apr. 21 Christmas Day (Wednesday) ... Dec. 25

First Day of Passover (Pesach) Apr. 20 Day of Atonement (Yom Kippur) Oct. 9

Feast of Weeks (Shavuot) ... June 9 First day of Tabernacles

Jewish New Year‡ (Succoth) ... ... ... ... Oct. 14

(Rosh Hashanah) ... ... ... Sept. 30 Festival of Lights (Hanukkah) Dec. 23

First day of Ramadân‡ ... ... May 6 Islamic New Year‡ ... ... ... Sept. 1

First day of Shawwal‡ ... ... June 5

‡The Jewish and Islamic dates above are tabular dates, which begin at sunset on the previous

evening and end at sunset on the date tabulated. In practice, the dates of Islamic fasts and festivals

are determined by an actual sighting of the appropriate new Moon.

CIVIL CALENDAR—UNITED STATES OF AMERICA

New Year’s Day ... ... ... Jan. 1 Labor Day ... ... ... ... ... Sept. 2

Martin Luther King’s Birthday Jan. 21 Columbus Day ... ... ... ... Oct. 14

Washington’s Birthday ... ... Feb. 18 Election Day (in certain States) Nov. 5

Memorial Day ... ... ... ... May 27 Veterans Day ... ... ... ... Nov. 11

Independence Day ... ... ... July 4 Thanksgiving Day ... ... ... Nov. 28

CIVIL CALENDAR—UNITED KINGDOM

Accession of Queen Elizabeth II Feb. 6 The Queen’s Official Birthday† June 8

St David (Wales) ... ... ... Mar. 1 Birthday of Prince Philip,

Commonwealth Day ... ... Mar. 11 Duke of Edinburgh ... ... June 10

St Patrick (Ireland) ... ... ... Mar. 17 Remembrance Sunday ... ... Nov. 10

Birthday of Queen Elizabeth II Apr. 21 Birthday of the Prince of Wales Nov. 14

St George (England) ... ... Apr. 23 St Andrew (Scotland) ... ... Nov. 30

Coronation Day ... ... ... ... June 2

†Date subject to confirmation
16 CALENDAR, 2019

JANUARY FEBRUARY MARCH APRIL MAY JUNE

Day Day Day Day Day Day Day Day Day Day Day Day Day

of of of of of of of of of of of of of

Month Week Year Week Year Week Year Week Year Week Year Week Year

1 Tue. 1 Fri. 32 Fri. 60 Mon. 91 Wed. 121 Sat. 152

2 Wed. 2 Sat. 33 Sat. 61 Tue. 92 Thu. 122 Sun. 153

3 Thu. 3 Sun. 34 Sun. 62 Wed. 93 Fri. 123 Mon. 154

4 Fri. 4 Mon. 35 Mon. 63 Thu. 94 Sat. 124 Tue. 155

5 Sat. 5 Tue. 36 Tue. 64 Fri. 95 Sun. 125 Wed. 156

6 Sun. 6 Wed. 37 Wed. 65 Sat. 96 Mon. 126 Thu. 157

7 Mon. 7 Thu. 38 Thu. 66 Sun. 97 Tue. 127 Fri. 158

8 Tue. 8 Fri. 39 Fri. 67 Mon. 98 Wed. 128 Sat. 159

9 Wed. 9 Sat. 40 Sat. 68 Tue. 99 Thu. 129 Sun. 160

10 Thu. 10 Sun. 41 Sun. 69 Wed. 100 Fri. 130 Mon. 161

11 Fri. 11 Mon. 42 Mon. 70 Thu. 101 Sat. 131 Tue. 162

12 Sat. 12 Tue. 43 Tue. 71 Fri. 102 Sun. 132 Wed. 163

13 Sun. 13 Wed. 44 Wed. 72 Sat. 103 Mon. 133 Thu. 164

14 Mon. 14 Thu. 45 Thu. 73 Sun. 104 Tue. 134 Fri. 165

15 Tue. 15 Fri. 46 Fri. 74 Mon. 105 Wed. 135 Sat. 166

16 Wed. 16 Sat. 47 Sat. 75 Tue. 106 Thu. 136 Sun. 167

17 Thu. 17 Sun. 48 Sun. 76 Wed. 107 Fri. 137 Mon. 168

18 Fri. 18 Mon. 49 Mon. 77 Thu. 108 Sat. 138 Tue. 169

19 Sat. 19 Tue. 50 Tue. 78 Fri. 109 Sun. 139 Wed. 170

20 Sun. 20 Wed. 51 Wed. 79 Sat. 110 Mon. 140 Thu. 171

21 Mon. 21 Thu. 52 Thu. 80 Sun. 111 Tue. 141 Fri. 172

22 Tue. 22 Fri. 53 Fri. 81 Mon. 112 Wed. 142 Sat. 173

23 Wed. 23 Sat. 54 Sat. 82 Tue. 113 Thu. 143 Sun. 174

24 Thu. 24 Sun. 55 Sun. 83 Wed. 114 Fri. 144 Mon. 175

25 Fri. 25 Mon. 56 Mon. 84 Thu. 115 Sat. 145 Tue. 176

26 Sat. 26 Tue. 57 Tue. 85 Fri. 116 Sun. 146 Wed. 177

27 Sun. 27 Wed. 58 Wed. 86 Sat. 117 Mon. 147 Thu. 178

28 Mon. 28 Thu. 59 Thu. 87 Sun. 118 Tue. 148 Fri. 179

29 Tue. 29 Fri. 88 Mon. 119 Wed. 149 Sat. 180

30 Wed. 30 Sat. 89 Tue. 120 Thu. 150 Sun. 181

31 Thu. 31 Sun. 90 Fri. 151

JULIAN DATE, 2019

0

h UT JD 0h UT JD 0h UT JD

Jan. 0 245 8483·5 May 0 245 8603·5 Sept. 0 245 8726·5

Feb. 0 245 8514·5 June 0 245 8634·5 Oct. 0 245 8756·5

Mar. 0 245 8542·5 July 0 245 8664·5 Nov. 0 245 8787·5

Apr. 0 245 8573·5 Aug. 0 245 8695·5 Dec. 0 245 8817·5

400-day date, JD 245 8800·5 = 2019 November 13·0

Standard epoch, 1900 January 0, 12h UT = JD 241 5020·0

Standard epoch, B1950·0 = 1950 Jan. 0·923 = JD 243 3282·423

B2019·0 = 2019 Jan. 0·635 = JD 245 8484·135

Standard epoch, J2000·0 = 2000 Jan. 1·5 = JD 245 1545·0

J2019·5 = 2019 July 2·875 = JD 245 8667·375
CALENDAR, 2019 17

JULY AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER

Day Day Day Day Day Day Day Day Day Day Day Day Day

of of of of of of of of of of of of of

Month Week Year Week Year Week Year Week Year Week Year Week Year

1 Mon. 182 Thu. 213 Sun. 244 Tue. 274 Fri. 305 Sun. 335

2 Tue. 183 Fri. 214 Mon. 245 Wed. 275 Sat. 306 Mon. 336

3 Wed. 184 Sat. 215 Tue. 246 Thu. 276 Sun. 307 Tue. 337

4 Thu. 185 Sun. 216 Wed. 247 Fri. 277 Mon. 308 Wed. 338

5 Fri. 186 Mon. 217 Thu. 248 Sat. 278 Tue. 309 Thu. 339

6 Sat. 187 Tue. 218 Fri. 249 Sun. 279 Wed. 310 Fri. 340

7 Sun. 188 Wed. 219 Sat. 250 Mon. 280 Thu. 311 Sat. 341

8 Mon. 189 Thu. 220 Sun. 251 Tue. 281 Fri. 312 Sun. 342

9 Tue. 190 Fri. 221 Mon. 252 Wed. 282 Sat. 313 Mon. 343

10 Wed. 191 Sat. 222 Tue. 253 Thu. 283 Sun. 314 Tue. 344

11 Thu. 192 Sun. 223 Wed. 254 Fri. 284 Mon. 315 Wed. 345

12 Fri. 193 Mon. 224 Thu. 255 Sat. 285 Tue. 316 Thu. 346

13 Sat. 194 Tue. 225 Fri. 256 Sun. 286 Wed. 317 Fri. 347

14 Sun. 195 Wed. 226 Sat. 257 Mon. 287 Thu. 318 Sat. 348

15 Mon. 196 Thu. 227 Sun. 258 Tue. 288 Fri. 319 Sun. 349

16 Tue. 197 Fri. 228 Mon. 259 Wed. 289 Sat. 320 Mon. 350

17 Wed. 198 Sat. 229 Tue. 260 Thu. 290 Sun. 321 Tue. 351

18 Thu. 199 Sun. 230 Wed. 261 Fri. 291 Mon. 322 Wed. 352

19 Fri. 200 Mon. 231 Thu. 262 Sat. 292 Tue. 323 Thu. 353

20 Sat. 201 Tue. 232 Fri. 263 Sun. 293 Wed. 324 Fri. 354

21 Sun. 202 Wed. 233 Sat. 264 Mon. 294 Thu. 325 Sat. 355

22 Mon. 203 Thu. 234 Sun. 265 Tue. 295 Fri. 326 Sun. 356

23 Tue. 204 Fri. 235 Mon. 266 Wed. 296 Sat. 327 Mon. 357

24 Wed. 205 Sat. 236 Tue. 267 Thu. 297 Sun. 328 Tue. 358

25 Thu. 206 Sun. 237 Wed. 268 Fri. 298 Mon. 329 Wed. 359

26 Fri. 207 Mon. 238 Thu. 269 Sat. 299 Tue. 330 Thu. 360

27 Sat. 208 Tue. 239 Fri. 270 Sun. 300 Wed. 331 Fri. 361

28 Sun. 209 Wed. 240 Sat. 271 Mon. 301 Thu. 332 Sat. 362

29 Mon. 210 Thu. 241 Sun. 272 Tue. 302 Fri. 333 Sun. 363

30 Tue. 211 Fri. 242 Mon. 273 Wed. 303 Sat. 334 Mon. 364

31 Wed. 212 Sat. 243 Thu. 304 Tue. 365

MEAN SIDEREAL TIME, 2019

Greenwich mean sidereal time at 0h UT

h h hh

Jan. 0 6·6250 Apr. 0 12·5389 July 0 18·5185 Oct. 0 0·5638

Feb. 0 8·6620 May 0 14·5102 Aug. 0 20·5555 Nov. 0 2·6008

Mar. 0 10·5019 June 0 16·5472 Sept. 0 22·5925 Dec. 0 4·5721

Greenwich mean sidereal time (GMST) on day d of month at hour t UT

= GMST at 0h UT on day 0 + 0

h.065 71 d + 1h.002 74 t

Local mean sidereal time = GMST + east

− west longitude
18 THE SUN, 2019

AT 0h UNIVERSAL TIME

Equation Declin- Equation Declin- Equation Declin- Equation DeclinDate of time ation Date of time ation Date of time ation Date of time ation

m s ◦ ′ m s ◦ ′ m s ◦ ′ m s ◦ ′

Jan. 0 −02 43 −23 07 Feb. 15 −14 09 −12 51 Apr. 1 −04 06 +04 21 May 17 +03 36 +19 13

1 03 12 23 02 16 14 06 12 30 2 03 49 04 44 18 03 35 19 26

2 03 40 22 57 17 14 03 12 10 3 03 31 05 07 19 03 33 19 39

3 04 08 22 52 18 13 58 11 49 4 03 14 05 30 20 03 30 19 52

4 04 36 22 46 19 13 53 11 27 5 02 56 05 53 21 03 26 20 05

5 −05 03 −22 40 20 −13 48 −11 06 6 −02 39 +06 16 22 +03 23 +20 17

6 05 30 22 33 21 13 41 10 44 7 02 22 06 38 23 03 18 20 29

7 05 57 22 26 22 13 34 10 23 8 02 05 07 01 24 03 13 20 40

8 06 23 22 18 23 13 27 10 01 9 01 49 07 23 25 03 08 20 51

9 06 48 22 10 24 13 18 09 39 10 01 32 07 46 26 03 02 21 02

10 −07 13 −22 02 25 −13 10 −09 17 11 −01 16 +08 08 27 +02 55 +21 12

11 07 38 21 53 26 13 00 08 54 12 01 01 08 30 28 02 48 21 23

12 08 01 21 43 27 12 50 08 32 13 00 45 08 52 29 02 41 21 32

13 08 25 21 34 28 12 40 08 09 14 00 30 09 13 30 02 33 21 41

14 08 47 21 23 Mar. 1 12 29 07 47 15 −00 15 09 35 31 02 25 21 50

15 −09 09 −21 13 2 −12 17 −07 24 16 00 00 +09 57 June 1 +02 16 +21 59

16 09 30 21 02 3 12 05 07 01 17 +00 14 10 18 2 02 07 22 07

17 09 51 20 50 4 11 53 06 38 18 00 28 10 39 3 01 57 22 15

18 10 10 20 38 5 11 40 06 15 19 00 41 11 00 4 01 47 22 22

19 10 30 20 26 6 11 26 05 52 20 00 55 11 21 5 01 37 22 29

20 −10 48 −20 14 7 −11 13 −05 28 21 +01 07 +11 41 6 +01 26 +22 36

21 11 05 20 01 8 10 58 05 05 22 01 19 12 01 7 01 15 22 42

22 11 22 19 47 9 10 44 04 42 23 01 31 12 22 8 01 04 22 48

23 11 38 19 34 10 10 29 04 18 24 01 43 12 42 9 00 52 22 53

24 11 54 19 20 11 10 14 03 55 25 01 53 13 01 10 00 41 22 58

25 −12 08 −19 05 12 −09 58 −03 31 26 +02 04 +13 21 11 +00 29 +23 03

26 12 22 18 50 13 09 42 03 08 27 02 14 13 40 12 00 17 23 07

27 12 35 18 35 14 09 26 02 44 28 02 23 13 59 13 +00 04 23 11

28 12 47 18 20 15 09 09 02 20 29 02 32 14 18 14 −00 08 23 14

29 12 58 18 04 16 08 52 01 57 30 02 40 14 37 15 00 21 23 17

30 −13 09 −17 48 17 −08 35 −01 33 May 1 +02 48 +14 55 16 −00 34 +23 20

31 13 19 17 31 18 08 18 01 09 2 02 55 15 13 17 00 46 23 22

Feb. 1 13 28 17 15 19 08 00 00 45 3 03 02 15 31 18 00 59 23 23

2 13 36 16 57 20 07 43 −00 22 4 03 08 15 49 19 01 12 23 25

3 13 43 16 40 21 07 25 +00 02 5 03 13 16 06 20 01 25 23 26

4 −13 50 −16 22 22 −07 07 +00 26 6 +03 18 +16 24 21 −01 38 +23 26

5 13 56 16 04 23 06 49 00 49 7 03 23 16 40 22 01 51 23 26

6 14 01 15 46 24 06 31 01 13 8 03 27 16 57 23 02 04 23 26

7 14 05 15 28 25 06 13 01 37 9 03 30 17 13 24 02 17 23 25

8 14 08 15 09 26 05 55 02 00 10 03 33 17 29 25 02 30 23 24

9 −14 11 −14 50 27 −05 37 +02 24 11 +03 35 +17 45 26 −02 43 +23 22

10 14 12 14 31 28 05 18 02 47 12 03 36 18 00 27 02 55 23 20

11 14 13 14 11 29 05 00 03 11 13 03 38 18 15 28 03 08 23 18

12 14 14 13 52 30 04 42 03 34 14 03 38 18 30 29 03 20 23 15

13 14 13 13 32 31 04 24 03 57 15 03 38 18 45 30 03 32 23 12

14 −14 12 −13 11 Apr. 1 −04 06 +04 21 16 +03 38 +18 59 July 1 −03 44 +23 08

15 −14 09 −12 51 2 −03 49 +04 44 17 +03 36 +19 13 2 −03 56 +23 04

Equation of time = apparent time − mean time
THE SUN, 2019 19

AT 0h UNIVERSAL TIME

Equation Declin- Equation Declin- Equation Declin- Equation DeclinDate of time ation Date of time ation Date of time ation Date of time ation

m s ◦ ′ m s ◦ ′ m s ◦ ′ m s ◦ ′

July 1 −03 44 +23 08 Aug. 16 −04 26 +13 54 Oct. 1 +10 06 −02 59 Nov.16 +15 24 −18 36

2 03 56 23 04 17 04 14 13 35 2 10 25 03 22 17 15 13 18 51

3 04 07 23 00 18 04 01 13 15 3 10 45 03 46 18 15 02 19 06

4 04 18 22 55 19 03 48 12 56 4 11 03 04 09 19 14 49 19 20

5 04 29 22 50 20 03 34 12 37 5 11 22 04 32 20 14 36 19 34

6 −04 40 +22 44 21 −03 19 +12 17 6 +11 40 −04 55 21 +14 22 −19 48

7 04 50 22 38 22 03 05 11 57 7 11 58 05 18 22 14 07 20 01

8 05 00 22 32 23 02 49 11 37 8 12 15 05 41 23 13 51 20 14

9 05 09 22 25 24 02 34 11 16 9 12 32 06 04 24 13 34 20 26

10 05 18 22 18 25 02 18 10 56 10 12 49 06 27 25 13 17 20 38

11 −05 26 +22 10 26 −02 01 +10 35 11 +13 05 −06 49 26 +12 59 −20 50

12 05 34 22 02 27 01 44 10 14 12 13 20 07 12 27 12 40 21 01

13 05 42 21 54 28 01 27 09 53 13 13 35 07 35 28 12 20 21 12

14 05 49 21 45 29 01 09 09 32 14 13 50 07 57 29 12 00 21 23

15 05 55 21 36 30 00 51 09 11 15 14 04 08 19 30 11 39 21 33

16 −06 01 +21 26 31 −00 33 +08 49 16 +14 18 −08 41 Dec. 1 +11 17 −21 43

17 06 07 21 17 Sept. 1 −00 15 08 28 17 14 31 09 04 2 10 55 21 52

18 06 12 21 06 2 +00 04 08 06 18 14 43 09 25 3 10 32 22 01

19 06 16 20 56 3 00 24 07 44 19 14 55 09 47 4 10 08 22 10

20 06 20 20 45 4 00 43 07 22 20 15 06 10 09 5 09 44 22 18

21 −06 24 +20 34 5 +01 03 +07 00 21 +15 16 −10 30 6 +09 19 −22 25

22 06 27 20 22 6 01 23 06 38 22 15 26 10 52 7 08 54 22 33

23 06 29 20 10 7 01 43 06 15 23 15 35 11 13 8 08 28 22 39

24 06 31 19 58 8 02 04 05 53 24 15 44 11 34 9 08 02 22 46

25 06 32 19 45 9 02 24 05 30 25 15 51 11 55 10 07 35 22 52

26 −06 32 +19 32 10 +02 45 +05 08 26 +15 58 −12 16 11 +07 08 −22 57

27 06 32 19 19 11 03 06 04 45 27 16 05 12 36 12 06 41 23 02

28 06 32 19 06 12 03 28 04 22 28 16 10 12 56 13 06 13 23 06

29 06 31 18 52 13 03 49 03 59 29 16 15 13 16 14 05 45 23 10

30 06 29 18 38 14 04 10 03 36 30 16 19 13 36 15 05 16 23 14

31 −06 26 +18 23 15 +04 32 +03 13 31 +16 22 −13 56 16 +04 48 −23 17

Aug. 1 06 24 18 08 16 04 53 02 50 Nov. 1 16 24 14 16 17 04 19 23 20

2 06 20 17 53 17 05 15 02 27 2 16 26 14 35 18 03 49 23 22

3 06 16 17 38 18 05 36 02 04 3 16 27 14 54 19 03 20 23 24

4 06 11 17 22 19 05 58 01 41 4 16 27 15 12 20 02 50 23 25

5 −06 06 +17 06 20 +06 19 +01 18 5 +16 26 −15 31 21 +02 21 −23 26

6 06 00 16 50 21 06 41 00 54 6 16 25 15 49 22 01 51 23 26

7 05 53 16 33 22 07 02 00 31 7 16 23 16 07 23 01 21 23 26

8 05 46 16 17 23 07 23 +00 08 8 16 19 16 25 24 00 51 23 25

9 05 38 16 00 24 07 44 −00 16 9 16 15 16 42 25 +00 21 23 24

10 −05 29 +15 42 25 +08 05 −00 39 10 +16 11 −16 59 26 −00 09 −23 23

11 05 20 15 25 26 08 26 01 02 11 16 05 17 16 27 00 39 23 21

12 05 11 15 07 27 08 46 01 26 12 15 58 17 33 28 01 09 23 18

13 05 00 14 49 28 09 07 01 49 13 15 51 17 49 29 01 38 23 15

14 04 50 14 31 29 09 27 02 13 14 15 43 18 05 30 02 07 23 12

15 −04 38 +14 12 30 +09 47 −02 36 15 +15 34 −18 21 31 −02 36 −23 08

16 −04 26 +13 54 Oct. 1 +10 06 −02 59 16 +15 24 −18 36 32 −03 05 −23 04

UT of transit = 12h − east

+ west longitude − equation of time
20 CIRCUMPOLAR STARS, 2019

AT 0h UNIVERSAL TIME

Polaris σ Oct Polaris σ Oct Polaris σ Oct Polaris σ Oct

Date GHA GHA Date GHA GHA Date GHA GHA Date GHA GHA

◦′ ◦′ ◦′ ◦′ ◦′ ◦′ ◦′ ◦′

Jan. 0 55 11 138 36 Feb. 15 100 51 183 57 Apr. 1 145 30 228 11 May 17 190 53 273 18

1 56 10 139 35 16 101 51 184 56 2 146 29 229 10 18 191 52 274 17

2 57 10 140 34 17 102 50 185 55 3 147 29 230 09 19 192 50 275 16

3 58 09 141 34 18 103 50 186 54 4 148 28 231 07 20 193 49 276 15

4 59 08 142 33 19 104 50 187 53 5 149 28 232 06 21 194 48 277 13

5 60 08 143 32 20 105 49 188 52 6 150 27 233 05 22 195 47 278 12

6 61 07 144 31 21 106 49 189 51 7 151 26 234 04 23 196 46 279 11

7 62 07 145 31 22 107 49 190 51 8 152 26 235 03 24 197 45 280 10

8 63 06 146 30 23 108 48 191 50 9 153 25 236 02 25 198 44 281 09

9 64 06 147 29 24 109 48 192 49 10 154 24 237 01 26 199 43 282 08

10 65 06 148 28 25 110 47 193 48 11 155 23 238 00 27 200 42 283 06

11 66 05 149 27 26 111 47 194 47 12 156 23 238 59 28 201 41 284 05

12 67 05 150 27 27 112 47 195 46 13 157 22 239 57 29 202 40 285 04

13 68 04 151 26 28 113 46 196 45 14 158 21 240 56 30 203 39 286 03

14 69 04 152 25 Mar. 1 114 46 197 44 15 159 20 241 55 31 204 38 287 02

15 70 04 153 24 2 115 45 198 43 16 160 20 242 54 June 1 205 37 288 01

16 71 03 154 24 3 116 45 199 42 17 161 19 243 53 2 206 35 289 00

17 72 03 155 23 4 117 44 200 41 18 162 18 244 52 3 207 34 289 58

18 73 02 156 22 5 118 44 201 40 19 163 18 245 50 4 208 33 290 57

19 74 02 157 21 6 119 44 202 39 20 164 17 246 49 5 209 32 291 56

20 75 01 158 20 7 120 43 203 38 21 165 16 247 48 6 210 31 292 55

21 76 01 159 19 8 121 43 204 37 22 166 15 248 47 7 211 29 293 54

22 77 00 160 19 9 122 42 205 35 23 167 14 249 46 8 212 28 294 53

23 78 00 161 18 10 123 42 206 34 24 168 13 250 45 9 213 27 295 51

24 79 00 162 17 11 124 41 207 33 25 169 13 251 44 10 214 26 296 50

25 79 59 163 16 12 125 41 208 32 26 170 12 252 42 11 215 25 297 49

26 80 59 164 15 13 126 40 209 31 27 171 11 253 41 12 216 24 298 48

27 81 59 165 14 14 127 40 210 30 28 172 10 254 40 13 217 23 299 47

28 82 58 166 14 15 128 39 211 29 29 173 09 255 39 14 218 21 300 46

29 83 58 167 13 16 129 39 212 28 30 174 09 256 38 15 219 20 301 45

30 84 57 168 12 17 130 38 213 27 May 1 175 08 257 37 16 220 19 302 44

31 85 57 169 11 18 131 38 214 26 2 176 07 258 35 17 221 17 303 43

Feb. 1 86 57 170 10 19 132 37 215 25 3 177 06 259 34 18 222 16 304 41

2 87 56 171 09 20 133 37 216 24 4 178 05 260 33 19 223 15 305 40

3 88 56 172 08 21 134 36 217 23 5 179 04 261 32 20 224 14 306 39

4 89 55 173 07 22 135 36 218 22 6 180 03 262 31 21 225 12 307 38

5 90 55 174 07 23 136 35 219 21 7 181 02 263 30 22 226 11 308 37

6 91 55 175 06 24 137 35 220 20 8 182 01 264 29 23 227 10 309 36

7 92 54 176 05 25 138 34 221 19 9 183 00 265 27 24 228 09 310 35

8 93 54 177 04 26 139 34 222 17 10 183 59 266 26 25 229 08 311 33

9 94 54 178 03 27 140 33 223 16 11 184 58 267 25 26 230 06 312 32

10 95 53 179 02 28 141 32 224 15 12 185 57 268 24 27 231 05 313 31

11 96 53 180 01 29 142 32 225 14 13 186 56 269 23 28 232 04 314 30

12 97 53 181 00 30 143 31 226 13 14 187 56 270 21 29 233 03 315 29

13 98 52 181 59 31 144 30 227 12 15 188 55 271 20 30 234 01 316 28

14 99 52 182 58 Apr. 1 145 30 228 11 16 189 54 272 19 July 1 235 00 317 27

15 100 51 183 57 2 146 29 229 10 17 190 53 273 18 2 235 59 318 26

The dates between Jan. 0 and Dec. 32 below are the dates when p changes to the next value.

Polar Distance (p) Polaris: Jan. 0 39′ May 24 40′ Sept. 23 39′ Dec. 32

σ Octantis: Jan. 0 67′ Mar. 1 68′ Aug. 21 67′ Dec. 32
CIRCUMPOLAR STARS, 2019 21

AT 0h UNIVERSAL TIME

Polaris σ Oct Polaris σ Oct Polaris σ Oct Polaris σ Oct

Date GHA GHA Date GHA GHA Date GHA GHA Date GHA GHA

◦′ ◦′ ◦′ ◦′ ◦′ ◦′ ◦′ ◦′

July 1 235 00 317 27 Aug. 16 279 58 2 41 Oct. 1 324 58 48 06 Nov.16 10 10 93 37

2 235 59 318 26 17 280 57 3 40 2 325 57 49 05 17 11 09 94 37

3 236 57 319 25 18 281 55 4 39 3 326 56 50 04 18 12 08 95 36

4 237 56 320 24 19 282 54 5 39 4 327 55 51 04 19 13 07 96 35

5 238 55 321 23 20 283 53 6 38 5 328 53 52 03 20 14 06 97 35

6 239 53 322 22 21 284 51 7 37 6 329 52 53 02 21 15 05 98 34

7 240 52 323 20 22 285 50 8 36 7 330 51 54 02 22 16 05 99 34

8 241 51 324 19 23 286 49 9 35 8 331 50 55 01 23 17 04 100 33

9 242 50 325 18 24 287 47 10 34 9 332 49 56 00 24 18 03 101 32

10 243 48 326 17 25 288 46 11 34 10 333 48 57 00 25 19 02 102 32

11 244 47 327 16 26 289 44 12 33 11 334 47 57 59 26 20 01 103 31

12 245 46 328 15 27 290 43 13 32 12 335 45 58 58 27 21 01 104 31

13 246 44 329 14 28 291 42 14 31 13 336 44 59 58 28 22 00 105 30

14 247 43 330 13 29 292 40 15 30 14 337 43 60 57 29 22 59 106 30

15 248 41 331 12 30 293 39 16 29 15 338 42 61 57 30 23 58 107 29

16 249 40 332 11 31 294 38 17 28 16 339 41 62 56 Dec. 1 24 57 108 28

17 250 39 333 10 Sept. 1 295 37 18 28 17 340 40 63 55 2 25 57 109 28

18 251 37 334 09 2 296 35 19 27 18 341 39 64 55 3 26 56 110 27

19 252 36 335 08 3 297 34 20 26 19 342 37 65 54 4 27 55 111 26

20 253 35 336 07 4 298 33 21 25 20 343 36 66 54 5 28 55 112 26

21 254 33 337 06 5 299 31 22 25 21 344 35 67 53 6 29 54 113 25

22 255 32 338 05 6 300 30 23 24 22 345 34 68 52 7 30 53 114 24

23 256 31 339 04 7 301 29 24 23 23 346 33 69 52 8 31 53 115 24

24 257 29 340 03 8 302 27 25 22 24 347 32 70 51 9 32 52 116 23

25 258 28 341 02 9 303 26 26 21 25 348 31 71 50 10 33 51 117 23

26 259 27 342 01 10 304 25 27 21 26 349 30 72 50 11 34 50 118 22

27 260 25 343 00 11 305 23 28 20 27 350 29 73 49 12 35 50 119 21

28 261 24 343 59 12 306 22 29 19 28 351 28 74 49 13 36 49 120 21

29 262 23 344 58 13 307 21 30 18 29 352 27 75 48 14 37 48 121 20

30 263 21 345 57 14 308 20 31 18 30 353 26 76 47 15 38 48 122 19

31 264 20 346 56 15 309 18 32 17 31 354 25 77 47 16 39 47 123 19

Aug. 1 265 18 347 55 16 310 17 33 16 Nov. 1 355 24 78 46 17 40 46 124 18

2 266 17 348 54 17 311 16 34 15 2 356 23 79 46 18 41 46 125 17

3 267 16 349 53 18 312 15 35 15 3 357 22 80 45 19 42 45 126 17

4 268 14 350 52 19 313 13 36 14 4 358 21 81 44 20 43 45 127 16

5 269 13 351 51 20 314 12 37 13 5 359 20 82 44 21 44 44 128 15

6 270 12 352 50 21 315 11 38 13 6 0 19 83 43 22 45 44 129 15

7 271 10 353 49 22 316 09 39 12 7 1 18 84 43 23 46 43 130 14

8 272 09 354 49 23 317 08 40 11 8 2 17 85 42 24 47 42 131 13

9 273 08 355 48 24 318 07 41 11 9 3 16 86 41 25 48 42 132 13

10 274 06 356 47 25 319 06 42 10 10 4 15 87 41 26 49 41 133 12

11 275 05 357 46 26 320 04 43 09 11 5 14 88 40 27 50 40 134 11

12 276 03 358 45 27 321 03 44 08 12 6 13 89 40 28 51 40 135 10

13 277 02 359 44 28 322 02 45 08 13 7 12 90 39 29 52 39 136 10

14 278 01 0 43 29 323 01 46 07 14 8 12 91 39 30 53 39 137 09

15 278 59 1 42 30 324 00 47 06 15 9 11 92 38 31 54 38 138 08

16 279 58 2 41 Oct. 1 324 58 48 06 16 10 10 93 37 32 55 38 139 07

Form the quantities C = p cos(local hour angle) and S = p sin (local hour angle) then

Latitude = h0 − C + 0·0087 S

2

tan h0,

Azimuth of Polaris = −S/ cos h0 and Azimuth of σ Octantis = 180◦ + S/ cos h0, where p and h0

are in degrees and h0 is the observed altitude corrected for atmospheric refraction and instrument error.
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RISING AND SETTING PHENOMENA, 2019 23

The times of sunrise and sunset (pages 24–31) and of moonrise and moonset (pages 32–63)

are the instants when the upper limbs of the Sun and Moon appear to lie on the horizon for an

observer at sea-level. In both cases a fixed allowance of 34′ has been made for refraction; a

further allowance of 16′ has been made for the semidiameter of the Sun, while for the Moon

the actual value of semidiameter minus horizontal parallax has been used. No allowance has

been made for the phase of the Moon. The observed times may differ from the tabular times

because of variations in refraction and the relative heights of the observer and horizon.

The tabular values are for the universal time (UT) of the phenomena on the Greenwich

meridian (longitude 0◦

). To a first approximation the UT at another longitude is given by

subtracting the longitude, expressed in time-measure, if east of Greenwich, or by adding, if

west of Greenwich. Alternatively the tables may be regarded as giving the approximate local

mean time on all meridians. These times may be converted to standard time by applying the

appropriate differences, as indicated in the note on page 4. Linear interpolation may be used

to obtain the times for non-tabular latitudes.

In the case of the Sun it may be necessary to interpolate (mentally) to obtain the UT for

an intermediate date, but a further interpolation for longitude is not normally required. In

the case of the Moon the values must normally be interpolated for longitude, as well as for

latitude, since the changes in the tabular values from one day to the next are usually large.

The interpolating factor is equal to one twenty-fourth of the longitude if expressed in hours

and decimals of an hour; linear interpolation is usually adequate.

Example

To find the times of sunrise and sunset and of moonrise and moonset on 2019 February 18 at

latitude N 38◦ 55′

, longitude W 77◦ 15′. The longitude expressed in time-measure is W 05h 09m.

The difference between standard time and UT is −5

h

in this case.

The relevant tabular values in UT for longitude 0◦

are as follows:

Sunrise Sunset Moonrise Moonset

+35◦ +40◦ +35◦ +40◦ +35◦ +40◦ +35◦ +40◦

d hm hm hm hm d hm hm hm hm

Feb. 15 06 46 06 53 17 42 17 35 Feb. 18 16 31 16 20 05 51 06 03

19 06 42 06 48 17 46 17 40 19 17 44 17 36 06 40 06 50

Interpolating factor for latitude is 3◦ 55′

/ 5◦ = 0·78

for date for Sun is 3d

/4d = 0·75

for long. for Moon is 5h.15/24h = 0·21

Sunrise Sunset Moonrise Moonset

Interpolation to: d hm hm d hm hm

Latitude N 38◦ 55′ Feb. 15 06 51 17 37 Feb. 18 16 22 06 00

N 38◦ 55′ 19 06 47 17 41 19 17 38 06 48

Local mean time 18 06 48 17 40 18 16 38 06 10

Adjustment to:

Universal time 18 11 57 22 49 18 21 47 11 19

Standard time 18 06 57 17 49 18 16 47 06 19
24 SUNRISE AND SUNSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. −2 3 22 3 52 4 14 4 32 4 47 5 00 5 22 5 41 5 58 6 16 6 34 6 55 7 07 7 21

2 3 27 3 56 4 18 4 35 4 50 5 03 5 24 5 43 6 00 6 17 6 35 6 56 7 08 7 22

6 3 32 4 01 4 22 4 39 4 53 5 06 5 27 5 45 6 02 6 19 6 36 6 57 7 09 7 22

10 3 39 4 06 4 26 4 43 4 57 5 09 5 30 5 47 6 04 6 20 6 37 6 57 7 08 7 22

14 3 45 4 11 4 31 4 47 5 01 5 12 5 32 5 49 6 05 6 21 6 38 6 57 7 08 7 21

18 3 53 4 18 4 36 4 52 5 05 5 16 5 35 5 51 6 07 6 22 6 38 6 56 7 07 7 19

22 4 01 4 24 4 42 4 56 5 09 5 19 5 38 5 53 6 08 6 22 6 38 6 55 7 05 7 17

26 4 09 4 31 4 48 5 01 5 13 5 23 5 40 5 55 6 09 6 23 6 37 6 54 7 03 7 14

30 4 17 4 38 4 53 5 06 5 17 5 27 5 43 5 57 6 10 6 23 6 36 6 52 7 01 7 11

Feb. 3 4 26 4 45 4 59 5 11 5 21 5 30 5 45 5 58 6 10 6 22 6 35 6 49 6 58 7 07

7 4 35 4 52 5 05 5 16 5 25 5 33 5 47 5 59 6 11 6 22 6 33 6 47 6 54 7 03

11 4 44 4 59 5 11 5 21 5 29 5 37 5 50 6 01 6 11 6 21 6 32 6 44 6 50 6 58

15 4 52 5 06 5 17 5 26 5 33 5 40 5 52 6 02 6 11 6 20 6 29 6 40 6 46 6 53

19 5 01 5 13 5 23 5 30 5 37 5 43 5 53 6 02 6 10 6 19 6 27 6 37 6 42 6 48

23 5 09 5 20 5 28 5 35 5 41 5 46 5 55 6 03 6 10 6 17 6 24 6 33 6 37 6 43

27 5 18 5 27 5 34 5 40 5 45 5 49 5 57 6 03 6 09 6 15 6 22 6 29 6 32 6 37

Mar. 3 5 26 5 33 5 39 5 44 5 48 5 52 5 58 6 04 6 09 6 14 6 19 6 24 6 27 6 31

7 5 34 5 40 5 45 5 49 5 52 5 55 6 00 6 04 6 08 6 12 6 15 6 20 6 22 6 25

11 5 42 5 47 5 50 5 53 5 55 5 57 6 01 6 04 6 07 6 09 6 12 6 15 6 17 6 19

15 5 50 5 53 5 55 5 57 5 59 6 00 6 02 6 04 6 06 6 07 6 09 6 10 6 11 6 12

19 5 58 6 00 6 01 6 01 6 02 6 03 6 03 6 04 6 05 6 05 6 05 6 06 6 06 6 06

23 6 06 6 06 6 06 6 05 6 05 6 05 6 05 6 04 6 03 6 03 6 02 6 01 6 00 5 59

27 6 14 6 12 6 11 6 10 6 08 6 07 6 06 6 04 6 02 6 00 5 58 5 56 5 54 5 53

31 6 22 6 19 6 16 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 55 5 51 5 49 5 46

Apr. 4 6 29 6 25 6 21 6 18 6 15 6 12 6 08 6 04 6 00 5 56 5 51 5 46 5 43 5 40

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. −2 20 41 20 12 19 49 19 32 19 17 19 04 18 42 18 23 18 06 17 48 17 30 17 09 16 57 16 43

2 20 40 20 11 19 50 19 32 19 17 19 05 18 43 18 25 18 08 17 51 17 33 17 12 17 00 16 46

6 20 38 20 10 19 49 19 32 19 18 19 05 18 44 18 26 18 09 17 53 17 35 17 15 17 03 16 50

10 20 35 20 09 19 48 19 31 19 18 19 06 18 45 18 27 18 11 17 55 17 38 17 18 17 07 16 54

14 20 32 20 06 19 46 19 30 19 17 19 05 18 45 18 28 18 13 17 57 17 40 17 21 17 10 16 58

18 20 27 20 02 19 44 19 28 19 16 19 04 18 46 18 29 18 14 17 59 17 43 17 25 17 14 17 02

22 20 21 19 58 19 40 19 26 19 14 19 03 18 45 18 30 18 15 18 01 17 46 17 28 17 18 17 07

26 20 15 19 53 19 37 19 23 19 12 19 02 18 45 18 30 18 16 18 02 17 48 17 32 17 22 17 11

30 20 08 19 48 19 32 19 20 19 09 19 00 18 44 18 30 18 17 18 04 17 51 17 35 17 26 17 16

Feb. 3 20 00 19 42 19 28 19 16 19 06 18 57 18 42 18 29 18 17 18 05 17 53 17 39 17 30 17 21

7 19 52 19 35 19 22 19 12 19 02 18 54 18 41 18 29 18 18 18 07 17 55 17 42 17 34 17 26

11 19 44 19 29 19 17 19 07 18 58 18 51 18 39 18 28 18 18 18 08 17 57 17 45 17 38 17 31

15 19 35 19 21 19 11 19 02 18 54 18 48 18 36 18 27 18 18 18 09 17 59 17 48 17 42 17 35

19 19 26 19 14 19 04 18 56 18 50 18 44 18 34 18 25 18 17 18 09 18 01 17 52 17 46 17 40

23 19 16 19 06 18 58 18 51 18 45 18 40 18 31 18 24 18 17 18 10 18 03 17 55 17 50 17 45

27 19 06 18 58 18 51 18 45 18 40 18 36 18 28 18 22 18 16 18 10 18 04 17 57 17 54 17 49

Mar. 3 18 57 18 49 18 44 18 39 18 35 18 31 18 25 18 20 18 15 18 11 18 06 18 00 17 57 17 54

7 18 47 18 41 18 37 18 33 18 30 18 27 18 22 18 18 18 14 18 11 18 07 18 03 18 01 17 58

11 18 37 18 32 18 29 18 27 18 24 18 22 18 19 18 16 18 13 18 11 18 08 18 06 18 04 18 02

15 18 26 18 24 18 22 18 20 18 19 18 17 18 15 18 14 18 12 18 11 18 10 18 08 18 07 18 06

19 18 16 18 15 18 14 18 14 18 13 18 13 18 12 18 11 18 11 18 11 18 11 18 11 18 11 18 11

23 18 06 18 06 18 07 18 07 18 08 18 08 18 09 18 09 18 10 18 11 18 12 18 13 18 14 18 15

27 17 56 17 58 17 59 18 01 18 02 18 03 18 05 18 07 18 09 18 11 18 13 18 15 18 17 18 19

31 17 46 17 49 17 52 17 54 17 56 17 58 18 02 18 05 18 08 18 11 18 14 18 18 18 20 18 23

Apr. 4 17 36 17 41 17 45 17 48 17 51 17 53 17 58 18 02 18 06 18 11 18 15 18 20 18 23 18 27
SUNRISE AND SUNSET, 2019 25

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. −2 7 21 7 28 7 34 7 42 7 50 7 58 8 08 8 19 8 32 8 46 9 03 9 24 9 52 10 32

2 7 22 7 28 7 35 7 42 7 50 7 58 8 08 8 19 8 31 8 45 9 02 9 22 9 49 10 26

6 7 22 7 28 7 35 7 42 7 49 7 58 8 07 8 17 8 29 8 43 8 59 9 19 9 43 10 18

10 7 22 7 27 7 34 7 41 7 48 7 56 8 05 8 15 8 26 8 40 8 55 9 13 9 37 10 08

14 7 21 7 26 7 32 7 39 7 46 7 54 8 02 8 12 8 23 8 35 8 50 9 07 9 28 9 57

18 7 19 7 24 7 30 7 36 7 43 7 50 7 59 8 08 8 18 8 30 8 43 8 59 9 19 9 44

22 7 17 7 22 7 27 7 33 7 40 7 47 7 54 8 03 8 12 8 23 8 36 8 51 9 09 9 32

26 7 14 7 19 7 24 7 29 7 35 7 42 7 49 7 57 8 06 8 16 8 28 8 42 8 58 9 18

30 7 11 7 15 7 20 7 25 7 31 7 37 7 43 7 51 7 59 8 08 8 19 8 32 8 46 9 04

Feb. 3 7 07 7 11 7 16 7 20 7 25 7 31 7 37 7 44 7 52 8 00 8 10 8 21 8 34 8 50

7 7 03 7 07 7 11 7 15 7 20 7 25 7 31 7 37 7 44 7 51 8 00 8 10 8 22 8 36

11 6 58 7 02 7 05 7 09 7 14 7 18 7 23 7 29 7 35 7 42 7 50 7 59 8 09 8 21

15 6 53 6 56 7 00 7 03 7 07 7 11 7 16 7 21 7 26 7 32 7 39 7 47 7 56 8 07

19 6 48 6 51 6 54 6 57 7 00 7 04 7 08 7 12 7 17 7 22 7 28 7 35 7 43 7 52

23 6 43 6 45 6 48 6 50 6 53 6 56 6 59 7 03 7 07 7 12 7 17 7 22 7 29 7 37

27 6 37 6 39 6 41 6 43 6 46 6 48 6 51 6 54 6 57 7 01 7 05 7 10 7 15 7 22

Mar. 3 6 31 6 33 6 34 6 36 6 38 6 40 6 42 6 45 6 47 6 50 6 54 6 57 7 02 7 07

7 6 25 6 26 6 27 6 29 6 30 6 32 6 33 6 35 6 37 6 39 6 42 6 45 6 48 6 51

11 6 19 6 19 6 20 6 21 6 22 6 23 6 24 6 25 6 27 6 28 6 30 6 32 6 34 6 36

15 6 12 6 13 6 13 6 14 6 14 6 15 6 15 6 16 6 16 6 17 6 18 6 19 6 20 6 21

19 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06 6 06

23 5 59 5 59 5 59 5 58 5 58 5 57 5 57 5 56 5 55 5 55 5 54 5 53 5 52 5 50

27 5 53 5 52 5 51 5 50 5 49 5 48 5 47 5 46 5 45 5 43 5 42 5 40 5 37 5 35

31 5 46 5 45 5 44 5 43 5 41 5 40 5 38 5 36 5 34 5 32 5 29 5 27 5 23 5 19

Apr. 4 5 40 5 38 5 37 5 35 5 33 5 31 5 29 5 26 5 24 5 21 5 17 5 14 5 09 5 04

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. −2 16 43 16 37 16 30 16 22 16 14 16 06 15 56 15 45 15 33 15 18 15 01 14 40 14 12 13 32

2 16 46 16 40 16 33 16 26 16 18 16 10 16 00 15 49 15 37 15 23 15 06 14 46 14 19 13 42

6 16 50 16 44 16 37 16 30 16 22 16 14 16 05 15 54 15 43 15 29 15 13 14 53 14 28 13 54

10 16 54 16 48 16 41 16 35 16 27 16 19 16 10 16 00 15 49 15 36 15 20 15 02 14 39 14 07

14 16 58 16 52 16 46 16 40 16 32 16 25 16 16 16 07 15 56 15 43 15 29 15 12 14 50 14 22

18 17 02 16 57 16 51 16 45 16 38 16 31 16 23 16 13 16 03 15 52 15 38 15 22 15 02 14 37

22 17 07 17 02 16 56 16 50 16 44 16 37 16 29 16 21 16 11 16 00 15 48 15 33 15 15 14 52

26 17 11 17 07 17 02 16 56 16 50 16 44 16 36 16 28 16 19 16 09 15 58 15 44 15 28 15 08

30 17 16 17 12 17 07 17 02 16 56 16 50 16 44 16 36 16 28 16 19 16 08 15 56 15 41 15 23

Feb. 3 17 21 17 17 17 13 17 08 17 03 16 57 16 51 16 44 16 37 16 28 16 19 16 07 15 54 15 38

7 17 26 17 22 17 18 17 14 17 09 17 04 16 58 16 52 16 46 16 38 16 29 16 19 16 08 15 54

11 17 31 17 27 17 24 17 20 17 15 17 11 17 06 17 00 16 54 16 47 16 40 16 31 16 21 16 08

15 17 35 17 32 17 29 17 26 17 22 17 18 17 13 17 09 17 03 16 57 16 50 16 43 16 34 16 23

19 17 40 17 37 17 35 17 31 17 28 17 25 17 21 17 17 17 12 17 07 17 01 16 54 16 46 16 37

23 17 45 17 42 17 40 17 37 17 34 17 31 17 28 17 25 17 21 17 16 17 11 17 05 16 59 16 51

27 17 49 17 47 17 45 17 43 17 41 17 38 17 35 17 32 17 29 17 25 17 21 17 17 17 11 17 05

Mar. 3 17 54 17 52 17 50 17 49 17 47 17 45 17 43 17 40 17 38 17 35 17 32 17 28 17 24 17 19

7 17 58 17 57 17 56 17 54 17 53 17 51 17 50 17 48 17 46 17 44 17 42 17 39 17 36 17 32

11 18 02 18 01 18 01 18 00 17 59 17 58 17 57 17 56 17 54 17 53 17 52 17 50 17 48 17 46

15 18 06 18 06 18 06 18 05 18 05 18 04 18 04 18 03 18 03 18 02 18 01 18 01 18 00 17 59

19 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 12 18 12

23 18 15 18 15 18 16 18 16 18 17 18 17 18 18 18 18 18 19 18 20 18 21 18 22 18 23 18 25

27 18 19 18 20 18 20 18 21 18 22 18 23 18 25 18 26 18 27 18 29 18 31 18 33 18 35 18 38

31 18 23 18 24 18 25 18 27 18 28 18 30 18 31 18 33 18 36 18 38 18 41 18 44 18 47 18 51

Apr. 4 18 27 18 28 18 30 18 32 18 34 18 36 18 38 18 41 18 44 18 47 18 50 18 54 18 59 19 04
26 SUNRISE AND SUNSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 31 6 22 6 19 6 16 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 55 5 51 5 49 5 46

Apr. 4 6 29 6 25 6 21 6 18 6 15 6 12 6 08 6 04 6 00 5 56 5 51 5 46 5 43 5 40

8 6 37 6 31 6 26 6 22 6 18 6 15 6 09 6 04 5 59 5 54 5 48 5 42 5 38 5 34

12 6 45 6 37 6 31 6 26 6 21 6 17 6 10 6 04 5 58 5 51 5 45 5 37 5 33 5 27

16 6 52 6 43 6 36 6 30 6 24 6 19 6 11 6 04 5 57 5 49 5 42 5 33 5 27 5 21

20 7 00 6 49 6 41 6 34 6 27 6 22 6 12 6 04 5 56 5 47 5 39 5 28 5 22 5 16

24 7 08 6 56 6 46 6 38 6 31 6 24 6 14 6 04 5 55 5 46 5 36 5 24 5 18 5 10

28 7 15 7 02 6 51 6 42 6 34 6 27 6 15 6 04 5 54 5 44 5 33 5 20 5 13 5 04

May 2 7 23 7 08 6 56 6 46 6 37 6 29 6 16 6 05 5 54 5 42 5 31 5 17 5 09 4 59

6 7 30 7 13 7 00 6 49 6 40 6 32 6 18 6 05 5 53 5 41 5 28 5 13 5 05 4 55

10 7 37 7 19 7 05 6 53 6 43 6 34 6 19 6 06 5 53 5 40 5 26 5 10 5 01 4 50

14 7 44 7 25 7 10 6 57 6 46 6 37 6 21 6 06 5 53 5 39 5 25 5 08 4 58 4 46

18 7 51 7 30 7 14 7 01 6 49 6 39 6 22 6 07 5 53 5 39 5 23 5 05 4 55 4 43

22 7 57 7 35 7 18 7 04 6 52 6 42 6 24 6 08 5 53 5 38 5 22 5 03 4 52 4 39

26 8 03 7 40 7 22 7 08 6 55 6 44 6 25 6 09 5 53 5 38 5 21 5 01 4 50 4 37

30 8 09 7 45 7 26 7 11 6 58 6 46 6 27 6 10 5 54 5 38 5 20 5 00 4 48 4 34

June 3 8 14 7 49 7 29 7 14 7 00 6 49 6 29 6 11 5 54 5 38 5 20 4 59 4 47 4 33

7 8 18 7 52 7 32 7 16 7 02 6 50 6 30 6 12 5 55 5 38 5 20 4 59 4 46 4 31

11 8 22 7 55 7 35 7 18 7 04 6 52 6 31 6 13 5 56 5 39 5 20 4 58 4 46 4 31

15 8 24 7 57 7 37 7 20 7 06 6 54 6 33 6 14 5 57 5 39 5 20 4 58 4 46 4 31

19 8 26 7 59 7 38 7 21 7 07 6 55 6 34 6 15 5 58 5 40 5 21 4 59 4 46 4 31

23 8 27 8 00 7 39 7 22 7 08 6 56 6 35 6 16 5 58 5 41 5 22 5 00 4 47 4 32

27 8 27 8 00 7 40 7 23 7 09 6 56 6 35 6 17 5 59 5 42 5 23 5 01 4 48 4 33

July 1 8 26 8 00 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 02 4 50 4 35

5 8 24 7 58 7 38 7 22 7 08 6 56 6 36 6 18 6 01 5 44 5 25 5 04 4 51 4 37

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 31 17 46 17 49 17 52 17 54 17 56 17 58 18 02 18 05 18 08 18 11 18 14 18 18 18 20 18 23

Apr. 4 17 36 17 41 17 45 17 48 17 51 17 53 17 58 18 02 18 06 18 11 18 15 18 20 18 23 18 27

8 17 26 17 32 17 37 17 42 17 45 17 49 17 55 18 00 18 05 18 10 18 16 18 23 18 27 18 31

12 17 16 17 24 17 30 17 36 17 40 17 44 17 52 17 58 18 04 18 10 18 17 18 25 18 30 18 35

16 17 06 17 16 17 23 17 30 17 35 17 40 17 48 17 56 18 03 18 11 18 18 18 28 18 33 18 39

20 16 57 17 08 17 17 17 24 17 30 17 36 17 45 17 54 18 02 18 11 18 20 18 30 18 36 18 43

24 16 48 17 00 17 10 17 18 17 25 17 32 17 43 17 52 18 02 18 11 18 21 18 33 18 39 18 47

28 16 39 16 53 17 04 17 13 17 21 17 28 17 40 17 51 18 01 18 11 18 22 18 35 18 43 18 51

May 2 16 31 16 46 16 58 17 08 17 17 17 24 17 38 17 49 18 00 18 12 18 24 18 38 18 46 18 55

6 16 23 16 39 16 52 17 03 17 13 17 21 17 35 17 48 18 00 18 12 18 25 18 40 18 49 18 59

10 16 15 16 33 16 47 16 59 17 09 17 18 17 34 17 47 18 00 18 13 18 27 18 43 18 52 19 03

14 16 08 16 27 16 43 16 55 17 06 17 15 17 32 17 46 18 00 18 14 18 28 18 46 18 56 19 07

18 16 01 16 22 16 38 16 52 17 03 17 13 17 30 17 46 18 00 18 14 18 30 18 48 18 59 19 11

22 15 55 16 17 16 35 16 49 17 01 17 11 17 29 17 45 18 00 18 15 18 32 18 51 19 02 19 14

26 15 50 16 13 16 31 16 46 16 59 17 10 17 28 17 45 18 01 18 16 18 33 18 53 19 05 19 18

30 15 46 16 10 16 29 16 44 16 57 17 08 17 28 17 45 18 01 18 17 18 35 18 55 19 07 19 21

June 3 15 42 16 07 16 27 16 42 16 56 17 08 17 28 17 45 18 02 18 18 18 36 18 57 19 10 19 24

7 15 39 16 05 16 25 16 41 16 55 17 07 17 28 17 46 18 03 18 20 18 38 18 59 19 12 19 26

11 15 37 16 04 16 24 16 41 16 55 17 07 17 28 17 46 18 03 18 21 18 39 19 01 19 14 19 29

15 15 36 16 03 16 24 16 41 16 55 17 07 17 28 17 47 18 04 18 22 18 41 19 02 19 15 19 30

19 15 36 16 04 16 24 16 41 16 55 17 08 17 29 17 48 18 05 18 23 18 42 19 04 19 17 19 32

23 15 37 16 04 16 25 16 42 16 56 17 09 17 30 17 48 18 06 18 23 18 42 19 05 19 18 19 33

27 15 39 16 06 16 27 16 43 16 57 17 10 17 31 17 49 18 07 18 24 18 43 19 05 19 18 19 33

July 1 15 42 16 08 16 29 16 45 16 59 17 11 17 32 17 50 18 08 18 25 18 43 19 05 19 18 19 33

5 15 45 16 11 16 31 16 47 17 01 17 13 17 33 17 51 18 08 18 25 18 44 19 05 19 18 19 32
SUNRISE AND SUNSET, 2019 27

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 31 5 46 5 45 5 44 5 43 5 41 5 40 5 38 5 36 5 34 5 32 5 29 5 27 5 23 5 19

Apr. 4 5 40 5 38 5 37 5 35 5 33 5 31 5 29 5 26 5 24 5 21 5 17 5 14 5 09 5 04

8 5 34 5 32 5 30 5 28 5 25 5 23 5 20 5 17 5 13 5 10 5 05 5 01 4 55 4 49

12 5 27 5 25 5 23 5 20 5 17 5 14 5 11 5 07 5 03 4 59 4 53 4 48 4 41 4 33

16 5 21 5 19 5 16 5 13 5 10 5 06 5 02 4 58 4 53 4 48 4 42 4 35 4 27 4 17

20 5 16 5 12 5 09 5 06 5 02 4 58 4 53 4 48 4 43 4 37 4 30 4 22 4 13 4 02

24 5 10 5 06 5 03 4 59 4 55 4 50 4 45 4 39 4 33 4 26 4 18 4 09 3 59 3 46

28 5 04 5 01 4 57 4 52 4 48 4 43 4 37 4 31 4 24 4 16 4 07 3 57 3 45 3 31

May 2 4 59 4 55 4 51 4 46 4 41 4 35 4 29 4 22 4 15 4 06 3 56 3 45 3 31 3 15

6 4 55 4 50 4 45 4 40 4 35 4 28 4 22 4 14 4 06 3 56 3 46 3 33 3 18 2 59

10 4 50 4 45 4 40 4 35 4 29 4 22 4 15 4 07 3 58 3 47 3 35 3 21 3 04 2 43

14 4 46 4 41 4 36 4 30 4 23 4 16 4 08 4 00 3 50 3 39 3 26 3 10 2 51 2 27

18 4 43 4 37 4 31 4 25 4 18 4 11 4 02 3 53 3 42 3 30 3 16 2 59 2 39 2 11

22 4 39 4 34 4 28 4 21 4 14 4 06 3 57 3 47 3 36 3 23 3 08 2 49 2 26 1 55

26 4 37 4 31 4 24 4 17 4 10 4 01 3 52 3 42 3 30 3 16 3 00 2 40 2 15 1 39

30 4 34 4 28 4 22 4 14 4 06 3 58 3 48 3 37 3 25 3 10 2 53 2 32 2 04 1 22

June 3 4 33 4 26 4 19 4 12 4 04 3 55 3 45 3 33 3 20 3 05 2 47 2 24 1 54 1 05

7 4 31 4 25 4 18 4 10 4 02 3 53 3 42 3 30 3 17 3 01 2 42 2 18 1 45 0 46

11 4 31 4 24 4 17 4 09 4 01 3 51 3 40 3 28 3 15 2 58 2 39 2 13 1 38 0 24

15 4 31 4 24 4 17 4 09 4 00 3 50 3 40 3 27 3 13 2 57 2 36 2 10 1 34

19 4 31 4 24 4 17 4 09 4 00 3 50 3 39 3 27 3 13 2 56 2 36 2 09 1 31

23 4 32 4 25 4 18 4 10 4 01 3 51 3 40 3 28 3 14 2 57 2 36 2 10 1 32

27 4 33 4 26 4 19 4 11 4 02 3 53 3 42 3 30 3 15 2 59 2 38 2 12 1 35

July 1 4 35 4 28 4 21 4 13 4 04 3 55 3 44 3 32 3 18 3 02 2 42 2 16 1 41 0 16

5 4 37 4 30 4 23 4 15 4 07 3 58 3 47 3 35 3 22 3 06 2 47 2 22 1 49 0 45

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 31 18 23 18 24 18 25 18 27 18 28 18 30 18 31 18 33 18 36 18 38 18 41 18 44 18 47 18 51

Apr. 4 18 27 18 28 18 30 18 32 18 34 18 36 18 38 18 41 18 44 18 47 18 50 18 54 18 59 19 04

8 18 31 18 33 18 35 18 37 18 40 18 42 18 45 18 48 18 52 18 56 19 00 19 05 19 11 19 18

12 18 35 18 37 18 40 18 43 18 45 18 49 18 52 18 56 19 00 19 05 19 10 19 16 19 23 19 31

16 18 39 18 42 18 45 18 48 18 51 18 55 18 59 19 03 19 08 19 14 19 20 19 27 19 35 19 45

20 18 43 18 46 18 50 18 53 18 57 19 01 19 06 19 11 19 16 19 23 19 30 19 38 19 47 19 59

24 18 47 18 51 18 54 18 58 19 03 19 07 19 12 19 18 19 24 19 32 19 40 19 49 20 00 20 13

28 18 51 18 55 18 59 19 04 19 08 19 14 19 19 19 26 19 33 19 41 19 50 20 00 20 12 20 27

May 2 18 55 18 59 19 04 19 09 19 14 19 20 19 26 19 33 19 41 19 49 20 00 20 11 20 25 20 42

6 18 59 19 04 19 09 19 14 19 20 19 26 19 33 19 40 19 49 19 58 20 09 20 22 20 38 20 57

10 19 03 19 08 19 13 19 19 19 25 19 32 19 39 19 47 19 57 20 07 20 19 20 34 20 51 21 13

14 19 07 19 12 19 18 19 24 19 30 19 38 19 45 19 54 20 04 20 16 20 29 20 45 21 04 21 28

18 19 11 19 16 19 22 19 29 19 36 19 43 19 52 20 01 20 12 20 24 20 38 20 55 21 17 21 45

22 19 14 19 20 19 26 19 33 19 40 19 48 19 57 20 07 20 19 20 32 20 47 21 06 21 29 22 01

26 19 18 19 24 19 30 19 37 19 45 19 53 20 03 20 13 20 25 20 39 20 56 21 16 21 42 22 19

30 19 21 19 27 19 34 19 41 19 49 19 58 20 08 20 19 20 31 20 46 21 03 21 25 21 53 22 37

June 3 19 24 19 30 19 37 19 45 19 53 20 02 20 12 20 24 20 37 20 52 21 10 21 33 22 04 22 55

7 19 26 19 33 19 40 19 48 19 56 20 06 20 16 20 28 20 41 20 57 21 16 21 41 22 14 23 16

11 19 29 19 35 19 43 19 50 19 59 20 09 20 19 20 31 20 45 21 02 21 21 21 47 22 22 23 44

15 19 30 19 37 19 44 19 52 20 01 20 11 20 22 20 34 20 48 21 05 21 25 21 51 22 28

19 19 32 19 39 19 46 19 54 20 03 20 12 20 23 20 36 20 50 21 07 21 27 21 54 22 32

23 19 33 19 39 19 47 19 55 20 04 20 13 20 24 20 36 20 51 21 07 21 28 21 54 22 32

27 19 33 19 40 19 47 19 55 20 04 20 13 20 24 20 36 20 50 21 07 21 27 21 53 22 30

July 1 19 33 19 39 19 47 19 54 20 03 20 13 20 23 20 35 20 49 21 05 21 25 21 50 22 26 23 42

5 19 32 19 39 19 46 19 53 20 02 20 11 20 21 20 33 20 47 21 03 21 22 21 46 22 19 23 19

indicates Sun continuously above horizon.
28 SUNRISE AND SUNSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 8 26 8 00 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 02 4 50 4 35

5 8 24 7 58 7 38 7 22 7 08 6 56 6 36 6 18 6 01 5 44 5 25 5 04 4 51 4 37

9 8 22 7 56 7 37 7 21 7 08 6 56 6 36 6 18 6 02 5 45 5 27 5 06 4 54 4 39

13 8 18 7 54 7 35 7 19 7 06 6 55 6 35 6 18 6 02 5 46 5 28 5 08 4 56 4 42

17 8 13 7 50 7 32 7 17 7 05 6 54 6 35 6 18 6 03 5 47 5 30 5 10 4 58 4 45

21 8 08 7 46 7 29 7 15 7 03 6 52 6 34 6 18 6 03 5 48 5 31 5 12 5 01 4 48

25 8 02 7 41 7 25 7 12 7 00 6 50 6 33 6 17 6 03 5 48 5 33 5 15 5 04 4 52

29 7 56 7 36 7 21 7 08 6 57 6 48 6 31 6 17 6 03 5 49 5 34 5 17 5 07 4 55

Aug. 2 7 49 7 30 7 16 7 04 6 54 6 45 6 29 6 16 6 03 5 50 5 36 5 19 5 10 4 59

6 7 41 7 24 7 11 7 00 6 50 6 42 6 27 6 15 6 02 5 50 5 37 5 22 5 13 5 03

10 7 33 7 18 7 05 6 55 6 46 6 39 6 25 6 13 6 02 5 51 5 38 5 24 5 16 5 06

14 7 25 7 11 6 59 6 50 6 42 6 35 6 23 6 12 6 01 5 51 5 40 5 27 5 19 5 10

18 7 16 7 03 6 53 6 45 6 37 6 31 6 20 6 10 6 01 5 51 5 41 5 29 5 22 5 14

22 7 07 6 55 6 47 6 39 6 33 6 27 6 17 6 08 6 00 5 51 5 42 5 31 5 25 5 18

26 6 57 6 48 6 40 6 33 6 28 6 23 6 14 6 06 5 59 5 51 5 43 5 33 5 28 5 22

30 6 48 6 39 6 33 6 27 6 22 6 18 6 11 6 04 5 57 5 51 5 44 5 36 5 31 5 25

Sept. 3 6 38 6 31 6 26 6 21 6 17 6 13 6 07 6 02 5 56 5 51 5 45 5 38 5 34 5 29

7 6 28 6 22 6 18 6 15 6 11 6 09 6 04 5 59 5 55 5 50 5 46 5 40 5 37 5 33

11 6 18 6 14 6 11 6 08 6 06 6 04 6 00 5 57 5 53 5 50 5 46 5 42 5 40 5 37

15 6 07 6 05 6 03 6 02 6 00 5 59 5 56 5 54 5 52 5 50 5 47 5 44 5 43 5 40

19 5 57 5 56 5 56 5 55 5 54 5 54 5 53 5 52 5 51 5 49 5 48 5 46 5 45 5 44

23 5 47 5 48 5 48 5 48 5 49 5 49 5 49 5 49 5 49 5 49 5 49 5 49 5 48 5 48

27 5 37 5 39 5 40 5 42 5 43 5 44 5 45 5 47 5 48 5 49 5 50 5 51 5 51 5 52

Oct. 1 5 26 5 30 5 33 5 35 5 37 5 39 5 42 5 44 5 46 5 49 5 51 5 53 5 54 5 56

5 5 16 5 21 5 25 5 29 5 31 5 34 5 38 5 42 5 45 5 48 5 52 5 55 5 57 6 00

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 15 42 16 08 16 29 16 45 16 59 17 11 17 32 17 50 18 08 18 25 18 43 19 05 19 18 19 33

5 15 45 16 11 16 31 16 47 17 01 17 13 17 33 17 51 18 08 18 25 18 44 19 05 19 18 19 32

9 15 49 16 14 16 34 16 50 17 03 17 15 17 35 17 52 18 09 18 26 18 44 19 04 19 17 19 31

13 15 54 16 18 16 37 16 52 17 05 17 17 17 36 17 53 18 09 18 26 18 43 19 03 19 15 19 29

17 15 59 16 23 16 41 16 55 17 08 17 19 17 38 17 54 18 10 18 25 18 42 19 02 19 14 19 27

21 16 05 16 27 16 44 16 58 17 10 17 21 17 39 17 55 18 10 18 25 18 41 19 00 19 11 19 24

25 16 11 16 32 16 48 17 02 17 13 17 23 17 41 17 56 18 10 18 25 18 40 18 58 19 09 19 21

29 16 18 16 37 16 53 17 05 17 16 17 26 17 42 17 56 18 10 18 24 18 39 18 56 19 06 19 17

Aug. 2 16 25 16 43 16 57 17 09 17 19 17 28 17 43 17 57 18 10 18 23 18 37 18 53 19 02 19 13

6 16 31 16 48 17 02 17 13 17 22 17 30 17 45 17 57 18 09 18 22 18 35 18 50 18 58 19 09

10 16 39 16 54 17 06 17 16 17 25 17 33 17 46 17 58 18 09 18 20 18 32 18 46 18 54 19 04

14 16 46 17 00 17 11 17 20 17 28 17 35 17 47 17 58 18 08 18 18 18 30 18 42 18 50 18 59

18 16 53 17 05 17 15 17 24 17 31 17 37 17 48 17 58 18 07 18 17 18 27 18 38 18 45 18 53

22 17 00 17 11 17 20 17 27 17 34 17 39 17 49 17 58 18 06 18 15 18 24 18 34 18 40 18 47

26 17 08 17 17 17 25 17 31 17 37 17 42 17 50 17 58 18 05 18 13 18 21 18 30 18 35 18 41

30 17 15 17 23 17 29 17 35 17 40 17 44 17 51 17 58 18 04 18 10 18 17 18 25 18 30 18 35

Sept. 3 17 22 17 29 17 34 17 39 17 42 17 46 17 52 17 57 18 03 18 08 18 14 18 21 18 25 18 29

7 17 29 17 35 17 39 17 42 17 45 17 48 17 53 17 57 18 01 18 06 18 10 18 16 18 19 18 23

11 17 37 17 40 17 43 17 46 17 48 17 50 17 54 17 57 18 00 18 03 18 07 18 11 18 13 18 16

15 17 44 17 46 17 48 17 50 17 51 17 52 17 54 17 57 17 59 18 01 18 03 18 06 18 08 18 09

19 17 52 17 52 17 53 17 53 17 54 17 54 17 55 17 56 17 57 17 58 17 59 18 01 18 02 18 03

23 17 59 17 58 17 58 17 57 17 57 17 57 17 56 17 56 17 56 17 56 17 56 17 56 17 56 17 56

27 18 07 18 04 18 03 18 01 18 00 17 59 17 57 17 56 17 54 17 53 17 52 17 51 17 50 17 50

Oct. 1 18 14 18 11 18 08 18 05 18 03 18 01 17 58 17 55 17 53 17 51 17 48 17 46 17 45 17 43

5 18 22 18 17 18 13 18 09 18 06 18 03 17 59 17 55 17 52 17 48 17 45 17 41 17 39 17 37
SUNRISE AND SUNSET, 2019 29

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 4 35 4 28 4 21 4 13 4 04 3 55 3 44 3 32 3 18 3 02 2 42 2 16 1 41 0 16

5 4 37 4 30 4 23 4 15 4 07 3 58 3 47 3 35 3 22 3 06 2 47 2 22 1 49 0 45

9 4 39 4 33 4 26 4 18 4 10 4 01 3 51 3 39 3 26 3 11 2 52 2 29 1 58 1 06

13 4 42 4 36 4 29 4 22 4 14 4 05 3 55 3 44 3 32 3 17 2 59 2 37 2 09 1 25

17 4 45 4 39 4 33 4 26 4 18 4 09 4 00 3 49 3 37 3 23 3 07 2 47 2 20 1 43

21 4 48 4 42 4 36 4 30 4 22 4 14 4 05 3 55 3 44 3 31 3 15 2 56 2 32 2 00

25 4 52 4 46 4 40 4 34 4 27 4 19 4 11 4 01 3 51 3 38 3 24 3 06 2 45 2 16

29 4 55 4 50 4 44 4 38 4 32 4 25 4 17 4 08 3 58 3 46 3 33 3 17 2 57 2 32

Aug. 2 4 59 4 54 4 49 4 43 4 37 4 30 4 23 4 14 4 05 3 54 3 42 3 28 3 10 2 48

6 5 03 4 58 4 53 4 48 4 42 4 36 4 29 4 21 4 13 4 03 3 52 3 39 3 23 3 03

10 5 06 5 02 4 58 4 53 4 47 4 42 4 35 4 28 4 20 4 12 4 01 3 49 3 35 3 18

14 5 10 5 06 5 02 4 58 4 53 4 48 4 42 4 35 4 28 4 20 4 11 4 00 3 48 3 33

18 5 14 5 11 5 07 5 03 4 58 4 54 4 48 4 42 4 36 4 29 4 21 4 11 4 00 3 47

22 5 18 5 15 5 11 5 08 5 04 4 59 4 55 4 50 4 44 4 37 4 30 4 22 4 12 4 01

26 5 22 5 19 5 16 5 13 5 09 5 05 5 01 4 57 4 52 4 46 4 40 4 32 4 24 4 14

30 5 25 5 23 5 20 5 18 5 15 5 11 5 08 5 04 5 00 4 55 4 49 4 43 4 36 4 27

Sept. 3 5 29 5 27 5 25 5 23 5 20 5 17 5 14 5 11 5 07 5 03 4 59 4 53 4 47 4 40

7 5 33 5 31 5 30 5 28 5 26 5 23 5 21 5 18 5 15 5 12 5 08 5 04 4 59 4 53

11 5 37 5 35 5 34 5 33 5 31 5 29 5 27 5 25 5 23 5 20 5 18 5 14 5 11 5 06

15 5 40 5 40 5 39 5 38 5 36 5 35 5 34 5 32 5 31 5 29 5 27 5 25 5 22 5 19

19 5 44 5 44 5 43 5 43 5 42 5 41 5 40 5 40 5 39 5 37 5 36 5 35 5 33 5 31

23 5 48 5 48 5 48 5 48 5 47 5 47 5 47 5 47 5 46 5 46 5 46 5 45 5 45 5 44

27 5 52 5 52 5 52 5 53 5 53 5 53 5 54 5 54 5 54 5 55 5 55 5 56 5 56 5 57

Oct. 1 5 56 5 56 5 57 5 58 5 59 5 59 6 00 6 01 6 02 6 03 6 05 6 06 6 08 6 09

5 6 00 6 01 6 02 6 03 6 04 6 05 6 07 6 08 6 10 6 12 6 14 6 16 6 19 6 22

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 19 33 19 39 19 47 19 54 20 03 20 13 20 23 20 35 20 49 21 05 21 25 21 50 22 26 23 42

5 19 32 19 39 19 46 19 53 20 02 20 11 20 21 20 33 20 47 21 03 21 22 21 46 22 19 23 19

9 19 31 19 37 19 44 19 52 20 00 20 09 20 19 20 30 20 43 20 59 21 17 21 40 22 10 23 00

13 19 29 19 35 19 42 19 49 19 57 20 06 20 16 20 27 20 39 20 54 21 11 21 32 22 00 22 43

17 19 27 19 33 19 39 19 46 19 54 20 02 20 12 20 22 20 34 20 48 21 04 21 24 21 50 22 26

21 19 24 19 30 19 36 19 43 19 50 19 58 20 07 20 17 20 28 20 41 20 56 21 15 21 38 22 10

25 19 21 19 26 19 32 19 38 19 45 19 53 20 01 20 11 20 21 20 33 20 48 21 05 21 26 21 53

29 19 17 19 22 19 28 19 34 19 40 19 47 19 55 20 04 20 14 20 25 20 38 20 54 21 13 21 37

Aug. 2 19 13 19 18 19 23 19 29 19 35 19 41 19 49 19 57 20 06 20 17 20 29 20 43 21 00 21 22

6 19 09 19 13 19 18 19 23 19 29 19 35 19 42 19 49 19 58 20 07 20 18 20 31 20 47 21 06

10 19 04 19 08 19 12 19 17 19 22 19 28 19 34 19 41 19 49 19 58 20 08 20 19 20 33 20 50

14 18 59 19 02 19 06 19 11 19 16 19 21 19 27 19 33 19 40 19 48 19 57 20 07 20 20 20 34

18 18 53 18 57 19 00 19 04 19 09 19 13 19 18 19 24 19 30 19 38 19 46 19 55 20 06 20 19

22 18 47 18 50 18 54 18 57 19 01 19 05 19 10 19 15 19 21 19 27 19 34 19 42 19 52 20 03

26 18 41 18 44 18 47 18 50 18 54 18 57 19 01 19 06 19 11 19 16 19 22 19 29 19 38 19 47

30 18 35 18 38 18 40 18 43 18 46 18 49 18 52 18 56 19 01 19 05 19 11 19 17 19 24 19 32

Sept. 3 18 29 18 31 18 33 18 35 18 38 18 41 18 43 18 47 18 50 18 54 18 59 19 04 19 09 19 16

7 18 23 18 24 18 26 18 28 18 30 18 32 18 34 18 37 18 40 18 43 18 47 18 51 18 55 19 01

11 18 16 18 17 18 19 18 20 18 22 18 23 18 25 18 27 18 29 18 32 18 34 18 38 18 41 18 45

15 18 09 18 10 18 11 18 12 18 13 18 14 18 16 18 17 18 19 18 20 18 22 18 24 18 27 18 30

19 18 03 18 03 18 04 18 04 18 05 18 06 18 06 18 07 18 08 18 09 18 10 18 11 18 13 18 14

23 17 56 17 56 17 56 17 56 17 57 17 57 17 57 17 57 17 57 17 58 17 58 17 58 17 59 17 59

27 17 50 17 49 17 49 17 49 17 48 17 48 17 48 17 47 17 47 17 46 17 46 17 45 17 44 17 44

Oct. 1 17 43 17 42 17 42 17 41 17 40 17 39 17 38 17 37 17 36 17 35 17 34 17 32 17 30 17 28

5 17 37 17 36 17 34 17 33 17 32 17 31 17 29 17 28 17 26 17 24 17 22 17 19 17 16 17 13
30 SUNRISE AND SUNSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 5 26 5 30 5 33 5 35 5 37 5 39 5 42 5 44 5 46 5 49 5 51 5 53 5 54 5 56

5 5 16 5 21 5 25 5 29 5 31 5 34 5 38 5 42 5 45 5 48 5 52 5 55 5 57 6 00

9 5 06 5 13 5 18 5 22 5 26 5 29 5 35 5 40 5 44 5 48 5 53 5 58 6 01 6 04

13 4 56 5 04 5 11 5 16 5 21 5 25 5 32 5 37 5 43 5 48 5 54 6 00 6 04 6 08

17 4 46 4 56 5 04 5 10 5 15 5 20 5 28 5 36 5 42 5 49 5 55 6 03 6 07 6 12

21 4 37 4 48 4 57 5 04 5 10 5 16 5 25 5 34 5 41 5 49 5 57 6 06 6 11 6 16

25 4 27 4 40 4 50 4 59 5 06 5 12 5 23 5 32 5 41 5 49 5 58 6 08 6 14 6 21

29 4 18 4 33 4 44 4 53 5 01 5 08 5 20 5 31 5 40 5 50 6 00 6 11 6 18 6 25

Nov. 2 4 09 4 25 4 38 4 48 4 57 5 05 5 18 5 29 5 40 5 51 6 02 6 14 6 22 6 30

6 4 01 4 19 4 32 4 44 4 53 5 02 5 16 5 29 5 40 5 52 6 04 6 17 6 25 6 34

10 3 53 4 12 4 27 4 39 4 50 4 59 5 14 5 28 5 40 5 53 6 06 6 21 6 29 6 39

14 3 46 4 06 4 23 4 36 4 47 4 57 5 13 5 27 5 41 5 54 6 08 6 24 6 33 6 43

18 3 39 4 01 4 18 4 32 4 44 4 55 5 12 5 27 5 41 5 55 6 10 6 27 6 37 6 48

22 3 33 3 57 4 15 4 30 4 42 4 53 5 12 5 28 5 42 5 57 6 13 6 30 6 41 6 53

26 3 28 3 53 4 12 4 28 4 41 4 52 5 11 5 28 5 44 5 59 6 15 6 34 6 45 6 57

30 3 23 3 50 4 10 4 26 4 40 4 51 5 11 5 29 5 45 6 01 6 18 6 37 6 48 7 01

Dec. 4 3 20 3 47 4 08 4 25 4 39 4 51 5 12 5 30 5 46 6 03 6 20 6 40 6 52 7 05

8 3 17 3 46 4 07 4 24 4 39 4 51 5 13 5 31 5 48 6 05 6 23 6 43 6 55 7 09

12 3 16 3 45 4 07 4 25 4 39 4 52 5 14 5 33 5 50 6 07 6 25 6 46 6 58 7 12

16 3 15 3 45 4 08 4 25 4 40 4 53 5 15 5 34 5 52 6 09 6 28 6 49 7 01 7 15

20 3 16 3 46 4 09 4 27 4 42 4 55 5 17 5 36 5 54 6 11 6 30 6 51 7 03 7 18

24 3 18 3 48 4 11 4 29 4 44 4 57 5 19 5 38 5 56 6 13 6 32 6 53 7 05 7 19

28 3 21 3 51 4 13 4 31 4 46 4 59 5 21 5 40 5 58 6 15 6 33 6 55 7 07 7 21

32 3 25 3 55 4 17 4 34 4 49 5 02 5 24 5 42 6 00 6 17 6 35 6 56 7 08 7 22

36 3 31 3 59 4 21 4 38 4 52 5 05 5 26 5 44 6 01 6 18 6 36 6 57 7 08 7 22

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 18 14 18 11 18 08 18 05 18 03 18 01 17 58 17 55 17 53 17 51 17 48 17 46 17 45 17 43

5 18 22 18 17 18 13 18 09 18 06 18 03 17 59 17 55 17 52 17 48 17 45 17 41 17 39 17 37

9 18 30 18 23 18 18 18 13 18 09 18 06 18 00 17 55 17 51 17 46 17 42 17 36 17 34 17 30

13 18 38 18 29 18 23 18 17 18 13 18 08 18 01 17 55 17 50 17 44 17 38 17 32 17 28 17 24

17 18 46 18 36 18 28 18 22 18 16 18 11 18 03 17 55 17 49 17 42 17 35 17 27 17 23 17 18

21 18 54 18 43 18 33 18 26 18 19 18 14 18 04 17 56 17 48 17 40 17 32 17 23 17 18 17 12

25 19 02 18 49 18 39 18 30 18 23 18 17 18 06 17 56 17 47 17 39 17 30 17 19 17 14 17 07

29 19 11 18 56 18 44 18 35 18 27 18 20 18 07 17 57 17 47 17 37 17 27 17 16 17 09 17 02

Nov. 2 19 19 19 03 18 50 18 40 18 31 18 23 18 09 17 58 17 47 17 36 17 25 17 12 17 05 16 57

6 19 27 19 10 18 56 18 44 18 34 18 26 18 11 17 59 17 47 17 36 17 23 17 09 17 01 16 52

10 19 36 19 16 19 01 18 49 18 38 18 29 18 14 18 00 17 47 17 35 17 22 17 07 16 58 16 48

14 19 44 19 23 19 07 18 54 18 42 18 33 18 16 18 01 17 48 17 35 17 21 17 05 16 55 16 45

18 19 52 19 30 19 12 18 58 18 46 18 36 18 18 18 03 17 49 17 35 17 20 17 03 16 53 16 42

22 20 00 19 36 19 18 19 03 18 50 18 39 18 21 18 05 17 50 17 35 17 19 17 01 16 51 16 39

26 20 08 19 42 19 23 19 07 18 54 18 43 18 23 18 06 17 51 17 35 17 19 17 00 16 49 16 37

30 20 15 19 48 19 28 19 12 18 58 18 46 18 26 18 08 17 52 17 36 17 19 17 00 16 49 16 36

Dec. 4 20 21 19 54 19 33 19 16 19 01 18 49 18 28 18 10 17 54 17 37 17 20 17 00 16 48 16 35

8 20 27 19 58 19 37 19 19 19 05 18 52 18 31 18 12 17 55 17 39 17 21 17 00 16 48 16 35

12 20 32 20 02 19 40 19 23 19 08 18 55 18 33 18 15 17 57 17 40 17 22 17 01 16 49 16 35

16 20 36 20 06 19 43 19 26 19 11 18 58 18 36 18 17 17 59 17 42 17 23 17 02 16 50 16 36

20 20 39 20 09 19 46 19 28 19 13 19 00 18 38 18 19 18 01 17 44 17 25 17 04 16 52 16 37

24 20 41 20 10 19 48 19 30 19 15 19 02 18 40 18 21 18 03 17 46 17 27 17 06 16 54 16 39

28 20 41 20 11 19 49 19 31 19 16 19 03 18 41 18 23 18 05 17 48 17 29 17 08 16 56 16 42

32 20 41 20 12 19 50 19 32 19 17 19 05 18 43 18 24 18 07 17 50 17 32 17 11 16 59 16 45

36 20 39 20 11 19 49 19 32 19 18 19 05 18 44 18 26 18 09 17 52 17 34 17 14 17 02 16 48
SUNRISE AND SUNSET, 2019 31

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

SUNRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 5 56 5 56 5 57 5 58 5 59 5 59 6 00 6 01 6 02 6 03 6 05 6 06 6 08 6 09

5 6 00 6 01 6 02 6 03 6 04 6 05 6 07 6 08 6 10 6 12 6 14 6 16 6 19 6 22

9 6 04 6 05 6 07 6 08 6 10 6 12 6 14 6 16 6 18 6 21 6 24 6 27 6 31 6 35

13 6 08 6 10 6 12 6 14 6 16 6 18 6 21 6 23 6 26 6 30 6 33 6 38 6 43 6 48

17 6 12 6 14 6 17 6 19 6 22 6 24 6 27 6 31 6 35 6 39 6 43 6 49 6 55 7 02

21 6 16 6 19 6 22 6 24 6 28 6 31 6 34 6 38 6 43 6 48 6 53 7 00 7 07 7 15

25 6 21 6 24 6 27 6 30 6 34 6 37 6 42 6 46 6 51 6 57 7 03 7 11 7 19 7 29

29 6 25 6 28 6 32 6 36 6 40 6 44 6 49 6 54 7 00 7 06 7 14 7 22 7 32 7 43

Nov. 2 6 30 6 33 6 37 6 41 6 46 6 51 6 56 7 02 7 08 7 16 7 24 7 33 7 44 7 57

6 6 34 6 38 6 42 6 47 6 52 6 57 7 03 7 10 7 17 7 25 7 34 7 45 7 57 8 12

10 6 39 6 43 6 48 6 53 6 58 7 04 7 10 7 17 7 25 7 34 7 44 7 56 8 10 8 27

14 6 43 6 48 6 53 6 58 7 04 7 10 7 17 7 25 7 34 7 43 7 54 8 07 8 23 8 42

18 6 48 6 53 6 58 7 04 7 10 7 17 7 24 7 33 7 42 7 52 8 04 8 19 8 36 8 57

22 6 53 6 58 7 03 7 09 7 16 7 23 7 31 7 40 7 50 8 01 8 14 8 30 8 48 9 12

26 6 57 7 02 7 08 7 15 7 22 7 29 7 38 7 47 7 57 8 09 8 23 8 40 9 01 9 27

30 7 01 7 07 7 13 7 20 7 27 7 35 7 44 7 53 8 04 8 17 8 32 8 50 9 12 9 42

Dec. 4 7 05 7 11 7 17 7 24 7 32 7 40 7 49 7 59 8 11 8 24 8 40 8 59 9 23 9 56

8 7 09 7 15 7 21 7 29 7 36 7 45 7 54 8 05 8 17 8 31 8 47 9 07 9 33 10 09

12 7 12 7 18 7 25 7 32 7 40 7 49 7 59 8 09 8 22 8 36 8 53 9 14 9 41 10 20

16 7 15 7 21 7 28 7 36 7 44 7 52 8 02 8 13 8 26 8 40 8 58 9 19 9 47 10 28

20 7 18 7 24 7 31 7 38 7 46 7 55 8 05 8 16 8 29 8 44 9 01 9 23 9 51 10 34

24 7 19 7 26 7 33 7 40 7 48 7 57 8 07 8 18 8 31 8 46 9 03 9 25 9 53 10 35

28 7 21 7 27 7 34 7 41 7 49 7 58 8 08 8 19 8 32 8 46 9 03 9 25 9 53 10 34

32 7 22 7 28 7 35 7 42 7 50 7 59 8 08 8 19 8 31 8 46 9 02 9 23 9 50 10 28

36 7 22 7 28 7 35 7 42 7 50 7 58 8 07 8 18 8 30 8 44 9 00 9 20 9 45 10 21

SUNSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 17 43 17 42 17 42 17 41 17 40 17 39 17 38 17 37 17 36 17 35 17 34 17 32 17 30 17 28

5 17 37 17 36 17 34 17 33 17 32 17 31 17 29 17 28 17 26 17 24 17 22 17 19 17 16 17 13

9 17 30 17 29 17 27 17 26 17 24 17 22 17 20 17 18 17 15 17 13 17 10 17 06 17 02 16 58

13 17 24 17 22 17 20 17 18 17 16 17 14 17 11 17 08 17 05 17 02 16 58 16 54 16 49 16 43

17 17 18 17 16 17 14 17 11 17 08 17 06 17 02 16 59 16 55 16 51 16 46 16 41 16 35 16 28

21 17 12 17 10 17 07 17 04 17 01 16 58 16 54 16 50 16 45 16 41 16 35 16 29 16 21 16 13

25 17 07 17 04 17 01 16 58 16 54 16 50 16 46 16 41 16 36 16 30 16 24 16 16 16 08 15 58

29 17 02 16 58 16 55 16 51 16 47 16 43 16 38 16 33 16 27 16 20 16 13 16 04 15 55 15 43

Nov. 2 16 57 16 53 16 49 16 45 16 41 16 36 16 30 16 25 16 18 16 11 16 02 15 53 15 42 15 29

6 16 52 16 48 16 44 16 40 16 35 16 29 16 23 16 17 16 10 16 01 15 52 15 42 15 29 15 14

10 16 48 16 44 16 39 16 34 16 29 16 23 16 17 16 10 16 02 15 53 15 43 15 31 15 17 15 00

14 16 45 16 40 16 35 16 30 16 24 16 18 16 11 16 03 15 54 15 45 15 33 15 20 15 05 14 46

18 16 42 16 37 16 31 16 26 16 19 16 13 16 05 15 57 15 48 15 37 15 25 15 11 14 54 14 32

22 16 39 16 34 16 28 16 22 16 16 16 08 16 00 15 52 15 42 15 30 15 17 15 02 14 43 14 19

26 16 37 16 32 16 26 16 19 16 12 16 05 15 56 15 47 15 36 15 24 15 10 14 54 14 33 14 06

30 16 36 16 30 16 24 16 17 16 10 16 02 15 53 15 43 15 32 15 19 15 04 14 47 14 24 13 54

Dec. 4 16 35 16 29 16 22 16 16 16 08 16 00 15 51 15 40 15 29 15 15 15 00 14 41 14 17 13 44

8 16 35 16 28 16 22 16 15 16 07 15 58 15 49 15 38 15 26 15 13 14 56 14 36 14 10 13 34

12 16 35 16 29 16 22 16 15 16 07 15 58 15 48 15 37 15 25 15 11 14 54 14 33 14 06 13 27

16 16 36 16 29 16 23 16 15 16 07 15 58 15 49 15 38 15 25 15 10 14 53 14 32 14 04 13 22

20 16 37 16 31 16 24 16 17 16 09 16 00 15 50 15 39 15 26 15 11 14 54 14 32 14 04 13 21

24 16 39 16 33 16 26 16 19 16 11 16 02 15 52 15 41 15 28 15 13 14 56 14 34 14 06 13 23

28 16 42 16 36 16 29 16 21 16 13 16 05 15 55 15 44 15 31 15 17 14 59 14 38 14 10 13 29

32 16 45 16 39 16 32 16 25 16 17 16 08 15 59 15 48 15 36 15 21 15 04 14 44 14 17 13 38

36 16 48 16 42 16 36 16 29 16 21 16 13 16 03 15 53 15 41 15 27 15 11 14 51 14 25 13 50
32 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 0 0 44 0 50 0 55 0 59 1 03 1 06 1 12 1 17 1 22 1 27 1 32 1 38 1 41 1 45

1 1 04 1 15 1 23 1 31 1 37 1 43 1 52 2 01 2 09 2 17 2 26 2 36 2 42 2 49

2 1 26 1 41 1 54 2 04 2 13 2 21 2 34 2 46 2 57 3 08 3 20 3 34 3 42 3 51

3 1 53 2 12 2 28 2 41 2 51 3 01 3 18 3 32 3 46 3 59 4 14 4 31 4 41 4 52

4 2 25 2 48 3 06 3 21 3 34 3 45 4 03 4 20 4 35 4 51 5 07 5 26 5 38 5 51

5 3 05 3 31 3 50 4 06 4 20 4 31 4 51 5 09 5 25 5 42 5 59 6 19 6 31 6 45

6 3 54 4 20 4 39 4 55 5 09 5 21 5 41 5 59 6 15 6 31 6 49 7 09 7 21 7 35

7 4 50 5 14 5 33 5 48 6 01 6 12 6 32 6 48 7 04 7 19 7 36 7 55 8 06 8 19

8 5 53 6 14 6 30 6 44 6 55 7 05 7 22 7 37 7 51 8 05 8 20 8 37 8 47 8 58

9 6 58 7 15 7 29 7 40 7 50 7 58 8 13 8 25 8 37 8 48 9 01 9 15 9 23 9 33

10 8 06 8 19 8 29 8 37 8 45 8 51 9 02 9 12 9 21 9 30 9 39 9 50 9 57 10 04

11 9 14 9 22 9 29 9 35 9 40 9 44 9 51 9 58 10 04 10 10 10 16 10 23 10 28 10 32

12 10 23 10 27 10 30 10 32 10 35 10 37 10 40 10 43 10 46 10 49 10 52 10 55 10 57 10 59

13 11 33 11 32 11 32 11 31 11 31 11 30 11 30 11 29 11 29 11 28 11 28 11 27 11 27 11 26

14 12 45 12 39 12 35 12 31 12 28 12 25 12 20 12 16 12 12 12 09 12 04 12 00 11 57 11 54

15 13 59 13 49 13 41 13 34 13 28 13 22 13 14 13 06 12 58 12 51 12 43 12 35 12 30 12 24

16 15 17 15 01 14 49 14 39 14 30 14 22 14 09 13 58 13 48 13 37 13 26 13 13 13 06 12 58

17 16 36 16 15 15 59 15 46 15 35 15 25 15 09 14 54 14 41 14 28 14 13 13 57 13 48 13 37

18 17 53 17 29 17 10 16 54 16 41 16 30 16 11 15 54 15 38 15 23 15 06 14 48 14 37 14 24

19 19 04 18 37 18 17 18 01 17 47 17 35 17 14 16 56 16 40 16 23 16 05 15 45 15 33 15 20

20 20 02 19 37 19 18 19 02 18 48 18 37 18 17 17 59 17 43 17 27 17 09 16 49 16 38 16 24

21 20 48 20 27 20 10 19 56 19 44 19 34 19 16 19 01 18 46 18 31 18 16 17 58 17 48 17 36

22 21 23 21 06 20 53 20 42 20 33 20 25 20 11 19 58 19 47 19 35 19 23 19 08 19 00 18 50

23 21 50 21 39 21 30 21 23 21 16 21 11 21 01 20 52 20 44 20 36 20 27 20 17 20 12 20 05

24 22 12 22 06 22 02 21 58 21 55 21 52 21 47 21 42 21 38 21 34 21 29 21 24 21 21 21 18

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 0 14 38 14 29 14 22 14 16 14 10 14 06 13 58 13 51 13 44 13 38 13 31 13 23 13 19 13 14

1 15 53 15 39 15 28 15 19 15 11 15 04 14 52 14 42 14 32 14 22 14 12 14 00 13 53 13 46

2 17 06 16 47 16 33 16 21 16 11 16 02 15 46 15 33 15 20 15 08 14 55 14 39 14 31 14 21

3 18 15 17 52 17 35 17 21 17 08 16 58 16 40 16 24 16 09 15 55 15 39 15 21 15 11 14 59

4 19 17 18 52 18 33 18 17 18 04 17 52 17 33 17 15 16 59 16 43 16 26 16 06 15 55 15 42

5 20 11 19 45 19 25 19 09 18 56 18 44 18 23 18 06 17 49 17 33 17 15 16 55 16 43 16 29

6 20 55 20 31 20 12 19 56 19 43 19 32 19 12 18 55 18 39 18 23 18 05 17 45 17 34 17 20

7 21 31 21 09 20 52 20 38 20 26 20 16 19 57 19 42 19 27 19 12 18 56 18 38 18 27 18 15

8 22 00 21 41 21 27 21 15 21 05 20 56 20 40 20 26 20 13 20 00 19 47 19 31 19 21 19 11

9 22 23 22 08 21 57 21 48 21 39 21 32 21 20 21 09 20 58 20 48 20 37 20 24 20 16 20 08

10 22 42 22 32 22 24 22 17 22 11 22 06 21 57 21 49 21 42 21 34 21 26 21 17 21 11 21 05

11 22 59 22 54 22 49 22 45 22 42 22 39 22 33 22 29 22 24 22 20 22 15 22 09 22 06 22 03

12 23 16 23 14 23 13 23 12 23 11 23 10 23 09 23 08 23 06 23 05 23 04 23 02 23 02 23 01

13 23 32 23 35 23 37 23 39 23 41 23 42 23 45 23 47 23 49 23 52 23 54 23 57 23 58 .. ..

14 23 49 23 56 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 00

15 .. .. .. .. 0 02 0 08 0 12 0 16 0 23 0 28 0 34 0 40 0 46 0 52 0 56 1 01

16 0 09 0 21 0 31 0 39 0 46 0 52 1 03 1 13 1 21 1 30 1 40 1 51 1 57 2 04

17 0 33 0 50 1 04 1 15 1 25 1 33 1 48 2 00 2 12 2 25 2 37 2 52 3 01 3 11

18 1 05 1 27 1 44 1 58 2 10 2 20 2 38 2 53 3 08 3 22 3 38 3 56 4 06 4 18

19 1 48 2 13 2 33 2 49 3 02 3 14 3 34 3 51 4 07 4 23 4 41 5 01 5 12 5 26

20 2 46 3 12 3 32 3 49 4 03 4 15 4 35 4 53 5 10 5 26 5 44 6 04 6 16 6 30

21 3 58 4 23 4 42 4 57 5 10 5 21 5 41 5 58 6 13 6 29 6 45 7 04 7 15 7 28

22 5 22 5 42 5 58 6 11 6 22 6 31 6 48 7 02 7 15 7 28 7 42 7 58 8 08 8 18

23 6 50 7 05 7 16 7 26 7 34 7 41 7 54 8 04 8 14 8 24 8 35 8 47 8 54 9 01

24 8 18 8 27 8 34 8 40 8 45 8 50 8 57 9 04 9 10 9 16 9 23 9 30 9 34 9 39

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 33

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 0 1 45 1 47 1 49 1 51 1 53 1 55 1 58 2 00 2 04 2 07 2 11 2 15 2 20 2 26

1 2 49 2 52 2 55 2 58 3 02 3 06 3 10 3 15 3 21 3 27 3 34 3 41 3 51 4 01

2 3 51 3 55 4 00 4 05 4 10 4 15 4 21 4 28 4 36 4 44 4 54 5 06 5 19 5 36

3 4 52 4 57 5 03 5 09 5 15 5 22 5 30 5 38 5 48 5 59 6 12 6 27 6 45 7 08

4 5 51 5 56 6 02 6 09 6 16 6 24 6 33 6 43 6 54 7 07 7 23 7 41 8 03 8 34

5 6 45 6 51 6 58 7 05 7 13 7 21 7 30 7 41 7 53 8 07 8 24 8 44 9 09 9 44

6 7 35 7 41 7 47 7 54 8 02 8 10 8 20 8 30 8 42 8 56 9 12 9 32 9 57 10 30

7 8 19 8 25 8 31 8 37 8 44 8 52 9 01 9 11 9 22 9 34 9 49 10 06 10 27 10 55

8 8 58 9 03 9 08 9 14 9 20 9 27 9 35 9 43 9 52 10 03 10 15 10 29 10 47 11 08

9 9 33 9 37 9 41 9 46 9 51 9 57 10 03 10 09 10 17 10 25 10 35 10 46 10 59 11 14

10 10 04 10 07 10 10 10 14 10 18 10 22 10 26 10 31 10 37 10 43 10 50 10 58 11 07 11 18

11 10 32 10 34 10 37 10 39 10 42 10 44 10 47 10 51 10 54 10 58 11 03 11 08 11 14 11 20

12 10 59 11 00 11 02 11 03 11 04 11 05 11 07 11 08 11 10 11 12 11 14 11 16 11 19 11 22

13 11 26 11 26 11 26 11 26 11 26 11 26 11 25 11 25 11 25 11 25 11 24 11 24 11 24 11 23

14 11 54 11 53 11 52 11 50 11 48 11 47 11 45 11 43 11 41 11 38 11 35 11 32 11 29 11 25

15 12 24 12 22 12 19 12 16 12 13 12 10 12 06 12 02 11 58 11 53 11 48 11 42 11 35 11 27

16 12 58 12 54 12 50 12 46 12 42 12 37 12 32 12 26 12 19 12 12 12 04 11 55 11 44 11 31

17 13 37 13 33 13 27 13 22 13 16 13 10 13 03 12 55 12 46 12 37 12 25 12 12 11 57 11 38

18 14 24 14 18 14 12 14 06 13 59 13 51 13 43 13 33 13 23 13 10 12 56 12 40 12 19 11 53

19 15 20 15 14 15 07 15 00 14 52 14 44 14 34 14 24 14 12 13 58 13 42 13 23 12 59 12 26

20 16 24 16 18 16 12 16 05 15 57 15 49 15 39 15 29 15 17 15 04 14 48 14 29 14 04 13 31

21 17 36 17 30 17 25 17 18 17 12 17 04 16 56 16 47 16 37 16 25 16 11 15 55 15 35 15 10

22 18 50 18 46 18 42 18 37 18 31 18 26 18 19 18 12 18 04 17 55 17 45 17 33 17 19 17 02

23 20 05 20 02 19 59 19 56 19 52 19 48 19 44 19 39 19 34 19 28 19 22 19 14 19 05 18 55

24 21 18 21 17 21 15 21 13 21 11 21 09 21 07 21 05 21 02 20 59 20 56 20 52 20 48 20 43

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 0 13 14 13 11 13 09 13 06 13 04 13 01 12 57 12 54 12 50 12 45 12 41 12 35 12 29 12 21

1 13 46 13 42 13 39 13 35 13 31 13 26 13 21 13 16 13 10 13 03 12 55 12 46 12 36 12 25

2 14 21 14 16 14 11 14 06 14 01 13 55 13 48 13 41 13 33 13 24 13 13 13 01 12 47 12 30

3 14 59 14 54 14 48 14 42 14 35 14 28 14 20 14 11 14 01 13 50 13 36 13 21 13 02 12 39

4 15 42 15 36 15 30 15 23 15 15 15 07 14 58 14 48 14 36 14 23 14 08 13 49 13 26 12 56

5 16 29 16 23 16 16 16 09 16 01 15 53 15 43 15 33 15 21 15 07 14 50 14 30 14 05 13 29

6 17 20 17 14 17 08 17 01 16 53 16 45 16 36 16 25 16 13 16 00 15 44 15 24 15 00 14 26

7 18 15 18 09 18 03 17 57 17 50 17 42 17 34 17 24 17 14 17 01 16 47 16 30 16 09 15 42

8 19 11 19 06 19 01 18 55 18 50 18 43 18 36 18 28 18 19 18 09 17 57 17 43 17 27 17 06

9 20 08 20 04 20 00 19 56 19 51 19 46 19 40 19 34 19 27 19 19 19 10 19 00 18 47 18 33

10 21 05 21 02 20 59 20 56 20 53 20 49 20 45 20 41 20 36 20 30 20 24 20 17 20 09 19 59

11 22 03 22 01 21 59 21 57 21 55 21 53 21 51 21 48 21 45 21 42 21 39 21 35 21 30 21 25

12 23 01 23 00 23 00 22 59 22 59 22 58 22 57 22 57 22 56 22 55 22 54 22 53 22 52 22 50

13 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

14 0 00 0 01 0 01 0 02 0 03 0 04 0 05 0 06 0 08 0 09 0 11 0 13 0 15 0 17

15 1 01 1 03 1 05 1 07 1 10 1 12 1 15 1 18 1 22 1 26 1 30 1 35 1 41 1 48

16 2 04 2 08 2 11 2 15 2 19 2 23 2 28 2 33 2 39 2 45 2 53 3 01 3 11 3 23

17 3 11 3 15 3 20 3 25 3 30 3 36 3 43 3 50 3 58 4 07 4 18 4 30 4 45 5 03

18 4 18 4 24 4 29 4 36 4 42 4 50 4 58 5 07 5 17 5 29 5 43 5 59 6 19 6 45

19 5 26 5 32 5 38 5 45 5 53 6 01 6 10 6 21 6 33 6 46 7 02 7 21 7 45 8 18

20 6 30 6 36 6 43 6 50 6 57 7 06 7 15 7 26 7 38 7 51 8 07 8 27 8 51 9 24

21 7 28 7 33 7 39 7 46 7 53 8 01 8 09 8 18 8 29 8 41 8 55 9 12 9 32 9 58

22 8 18 8 23 8 28 8 33 8 39 8 45 8 52 8 59 9 08 9 18 9 28 9 41 9 56 10 14

23 9 01 9 05 9 08 9 12 9 16 9 21 9 26 9 31 9 37 9 44 9 52 10 00 10 10 10 22

24 9 39 9 41 9 43 9 46 9 48 9 51 9 54 9 57 10 01 10 05 10 09 10 14 10 20 10 26

.. .. indicates phenomenon will occur the next day.
34 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 23 21 50 21 39 21 30 21 23 21 16 21 11 21 01 20 52 20 44 20 36 20 27 20 17 20 12 20 05

24 22 12 22 06 22 02 21 58 21 55 21 52 21 47 21 42 21 38 21 34 21 29 21 24 21 21 21 18

25 22 32 22 31 22 31 22 31 22 30 22 30 22 30 22 29 22 29 22 29 22 29 22 28 22 28 22 28

26 22 51 22 55 22 59 23 02 23 05 23 07 23 11 23 15 23 18 23 22 23 26 23 30 23 33 23 36

27 23 10 23 19 23 27 23 33 23 39 23 44 23 52 .. .. .. .. .. .. .. .. .. .. .. .. .. ..

28 23 32 23 46 23 57 .. .. .. .. .. .. .. .. 0 00 0 07 0 14 0 22 0 30 0 35 0 41

29 23 57 .. .. .. .. 0 06 0 14 0 21 0 34 0 45 0 55 1 05 1 16 1 29 1 36 1 45

30 .. .. 0 15 0 30 0 42 0 52 1 01 1 17 1 30 1 43 1 56 2 10 2 26 2 36 2 46

31 0 27 0 49 1 06 1 21 1 33 1 43 2 01 2 17 2 32 2 47 3 03 3 22 3 33 3 45

Feb. 1 1 04 1 29 1 48 2 04 2 17 2 29 2 48 3 06 3 22 3 38 3 55 4 15 4 27 4 41

2 1 50 2 15 2 35 2 51 3 05 3 17 3 37 3 55 4 11 4 28 4 45 5 06 5 18 5 31

3 2 43 3 08 3 27 3 43 3 56 4 07 4 27 4 44 5 00 5 16 5 33 5 53 6 04 6 17

4 3 44 4 06 4 23 4 37 4 49 5 00 5 18 5 33 5 48 6 02 6 18 6 36 6 46 6 58

5 4 48 5 07 5 22 5 34 5 44 5 53 6 08 6 21 6 34 6 46 7 00 7 15 7 24 7 34

6 5 55 6 10 6 21 6 31 6 39 6 46 6 58 7 09 7 19 7 29 7 39 7 51 7 58 8 06

7 7 04 7 14 7 22 7 28 7 34 7 39 7 47 7 55 8 02 8 09 8 16 8 25 8 30 8 35

8 8 12 8 18 8 22 8 26 8 29 8 31 8 36 8 40 8 44 8 48 8 52 8 57 9 00 9 03

9 9 22 9 22 9 23 9 24 9 24 9 24 9 25 9 26 9 26 9 27 9 28 9 28 9 29 9 29

10 10 32 10 28 10 25 10 22 10 20 10 18 10 15 10 12 10 09 10 06 10 03 10 00 9 58 9 56

11 11 44 11 35 11 28 11 23 11 18 11 13 11 06 10 59 10 53 10 47 10 41 10 34 10 29 10 25

12 12 58 12 44 12 34 12 25 12 17 12 10 11 59 11 49 11 40 11 30 11 21 11 09 11 03 10 56

13 14 14 13 55 13 41 13 29 13 19 13 10 12 55 12 42 12 29 12 17 12 04 11 49 11 41 11 31

14 15 29 15 06 14 49 14 34 14 22 14 11 13 53 13 37 13 23 13 08 12 53 12 35 12 24 12 13

15 16 41 16 15 15 56 15 39 15 26 15 14 14 54 14 36 14 20 14 04 13 47 13 27 13 15 13 02

16 17 45 17 18 16 58 16 42 16 28 16 16 15 55 15 37 15 21 15 04 14 46 14 26 14 14 14 00

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 23 6 50 7 05 7 16 7 26 7 34 7 41 7 54 8 04 8 14 8 24 8 35 8 47 8 54 9 01

24 8 18 8 27 8 34 8 40 8 45 8 50 8 57 9 04 9 10 9 16 9 23 9 30 9 34 9 39

25 9 44 9 47 9 50 9 52 9 54 9 55 9 58 10 00 10 03 10 05 10 07 10 10 10 11 10 13

26 11 06 11 04 11 02 11 01 10 59 10 58 10 56 10 54 10 53 10 51 10 49 10 47 10 46 10 45

27 12 26 12 18 12 12 12 07 12 03 11 59 11 53 11 47 11 42 11 36 11 30 11 24 11 20 11 16

28 13 43 13 30 13 20 13 12 13 05 12 59 12 48 12 39 12 30 12 21 12 12 12 01 11 55 11 48

29 14 57 14 39 14 26 14 15 14 05 13 57 13 42 13 30 13 18 13 06 12 54 12 40 12 32 12 22

30 16 07 15 45 15 29 15 15 15 03 14 53 14 36 14 21 14 07 13 53 13 38 13 21 13 11 12 59

31 17 11 16 46 16 27 16 12 15 59 15 48 15 29 15 12 14 56 14 40 14 24 14 04 13 53 13 40

Feb. 1 18 07 17 41 17 21 17 05 16 52 16 40 16 20 16 02 15 46 15 29 15 12 14 51 14 39 14 26

2 18 54 18 29 18 10 17 54 17 40 17 29 17 09 16 51 16 35 16 19 16 01 15 41 15 29 15 16

3 19 32 19 09 18 52 18 37 18 25 18 14 17 55 17 39 17 23 17 08 16 51 16 32 16 21 16 09

4 20 03 19 43 19 28 19 15 19 04 18 55 18 38 18 24 18 10 17 57 17 42 17 25 17 15 17 04

5 20 28 20 12 20 00 19 49 19 40 19 33 19 19 19 07 18 56 18 44 18 32 18 18 18 10 18 01

6 20 48 20 37 20 28 20 20 20 13 20 07 19 57 19 48 19 40 19 31 19 22 19 11 19 05 18 58

7 21 06 20 59 20 53 20 48 20 44 20 40 20 34 20 28 20 22 20 17 20 11 20 04 20 00 19 56

8 21 22 21 19 21 17 21 15 21 13 21 12 21 09 21 07 21 05 21 02 21 00 20 57 20 55 20 54

9 21 38 21 40 21 41 21 42 21 43 21 43 21 45 21 46 21 47 21 48 21 49 21 50 21 51 21 52

10 21 55 22 00 22 05 22 09 22 13 22 16 22 21 22 26 22 30 22 34 22 39 22 44 22 48 22 51

11 22 13 22 23 22 32 22 39 22 45 22 50 22 59 23 07 23 15 23 23 23 31 23 40 23 46 23 52

12 22 34 22 49 23 01 23 11 23 20 23 28 23 41 23 52 .. .. .. .. .. .. .. .. .. .. .. ..

13 23 02 23 21 23 37 23 49 .. .. .. .. .. .. .. .. 0 03 0 14 0 25 0 39 0 46 0 55

14 23 37 .. .. .. .. .. .. 0 00 0 10 0 26 0 41 0 54 1 08 1 22 1 39 1 49 2 00

15 .. .. 0 01 0 19 0 34 0 47 0 58 1 17 1 34 1 50 2 05 2 22 2 41 2 52 3 05

16 0 26 0 52 1 12 1 28 1 42 1 54 2 14 2 32 2 49 3 05 3 23 3 44 3 55 4 09

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 35

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 23 20 05 20 02 19 59 19 56 19 52 19 48 19 44 19 39 19 34 19 28 19 22 19 14 19 05 18 55

24 21 18 21 17 21 15 21 13 21 11 21 09 21 07 21 05 21 02 20 59 20 56 20 52 20 48 20 43

25 22 28 22 28 22 28 22 28 22 28 22 28 22 28 22 28 22 28 22 27 22 27 22 27 22 27 22 27

26 23 36 23 37 23 38 23 40 23 42 23 43 23 45 23 47 23 50 23 52 23 55 23 58 .. .. .. ..

27 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 02 0 07

28 0 41 0 44 0 47 0 50 0 53 0 56 1 00 1 04 1 09 1 14 1 20 1 27 1 35 1 44

29 1 45 1 49 1 53 1 57 2 02 2 07 2 12 2 19 2 26 2 33 2 42 2 53 3 05 3 19

30 2 46 2 51 2 56 3 02 3 08 3 14 3 22 3 30 3 39 3 49 4 01 4 15 4 32 4 52

31 3 45 3 51 3 57 4 03 4 10 4 18 4 27 4 36 4 47 4 59 5 14 5 31 5 52 6 20

Feb. 1 4 41 4 47 4 53 5 00 5 08 5 16 5 25 5 36 5 48 6 02 6 18 6 37 7 02 7 36

2 5 31 5 37 5 44 5 51 5 59 6 07 6 17 6 28 6 40 6 54 7 10 7 30 7 55 8 30

3 6 17 6 23 6 29 6 36 6 43 6 51 7 00 7 10 7 22 7 35 7 50 8 08 8 31 9 01

4 6 58 7 03 7 09 7 15 7 21 7 29 7 36 7 45 7 55 8 06 8 19 8 35 8 53 9 17

5 7 34 7 38 7 43 7 48 7 54 8 00 8 06 8 13 8 22 8 31 8 41 8 53 9 08 9 25

6 8 06 8 09 8 13 8 17 8 21 8 26 8 31 8 37 8 43 8 50 8 58 9 07 9 17 9 29

7 8 35 8 38 8 40 8 43 8 46 8 49 8 53 8 57 9 01 9 06 9 11 9 17 9 24 9 32

8 9 03 9 04 9 06 9 07 9 09 9 10 9 12 9 14 9 17 9 19 9 22 9 25 9 29 9 33

9 9 29 9 30 9 30 9 30 9 30 9 31 9 31 9 31 9 32 9 32 9 33 9 33 9 34 9 35

10 9 56 9 55 9 54 9 53 9 52 9 51 9 50 9 48 9 47 9 45 9 43 9 41 9 39 9 36

11 10 25 10 23 10 20 10 18 10 16 10 13 10 10 10 07 10 03 9 59 9 55 9 50 9 44 9 38

12 10 56 10 53 10 49 10 46 10 42 10 37 10 33 10 28 10 22 10 16 10 09 10 01 9 51 9 40

13 11 31 11 27 11 22 11 17 11 12 11 06 11 00 10 53 10 45 10 36 10 27 10 15 10 02 9 46

14 12 13 12 07 12 02 11 56 11 49 11 42 11 34 11 25 11 16 11 04 10 52 10 36 10 18 9 56

15 13 02 12 56 12 50 12 43 12 35 12 27 12 18 12 08 11 57 11 44 11 28 11 10 10 47 10 17

16 14 00 13 54 13 48 13 40 13 33 13 24 13 15 13 04 12 52 12 38 12 22 12 02 11 37 11 02

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Jan. 23 9 01 9 05 9 08 9 12 9 16 9 21 9 26 9 31 9 37 9 44 9 52 10 00 10 10 10 22

24 9 39 9 41 9 43 9 46 9 48 9 51 9 54 9 57 10 01 10 05 10 09 10 14 10 20 10 26

25 10 13 10 14 10 14 10 15 10 16 10 17 10 18 10 19 10 20 10 22 10 23 10 25 10 27 10 29

26 10 45 10 44 10 44 10 43 10 42 10 41 10 40 10 40 10 39 10 37 10 36 10 35 10 33 10 31

27 11 16 11 14 11 12 11 10 11 08 11 05 11 03 11 00 10 57 10 53 10 49 10 44 10 39 10 33

28 11 48 11 45 11 42 11 38 11 35 11 30 11 26 11 21 11 16 11 10 11 03 10 55 10 47 10 36

29 12 22 12 18 12 14 12 09 12 04 11 58 11 52 11 45 11 38 11 29 11 20 11 09 10 56 10 40

30 12 59 12 54 12 49 12 43 12 37 12 30 12 22 12 14 12 04 11 54 11 41 11 27 11 09 10 48

31 13 40 13 35 13 29 13 22 13 15 13 07 12 58 12 48 12 37 12 24 12 10 11 52 11 30 11 02

Feb. 1 14 26 14 20 14 13 14 06 13 58 13 50 13 40 13 30 13 18 13 04 12 48 12 28 12 03 11 29

2 15 16 15 09 15 03 14 56 14 48 14 40 14 30 14 20 14 08 13 54 13 37 13 18 12 52 12 17

3 16 09 16 03 15 57 15 50 15 43 15 35 15 26 15 16 15 05 14 53 14 38 14 20 13 57 13 28

4 17 04 16 59 16 54 16 48 16 42 16 35 16 27 16 19 16 09 15 58 15 46 15 31 15 13 14 50

5 18 01 17 57 17 53 17 48 17 43 17 37 17 31 17 24 17 16 17 08 16 58 16 46 16 33 16 16

6 18 58 18 55 18 52 18 48 18 45 18 40 18 36 18 31 18 25 18 19 18 12 18 04 17 54 17 43

7 19 56 19 54 19 52 19 49 19 47 19 44 19 42 19 38 19 35 19 31 19 26 19 21 19 16 19 09

8 20 54 20 53 20 52 20 51 20 50 20 49 20 48 20 46 20 45 20 43 20 41 20 39 20 37 20 34

9 21 52 21 52 21 52 21 53 21 53 21 54 21 54 21 55 21 55 21 56 21 57 21 58 21 59 22 00

10 22 51 22 53 22 54 22 56 22 58 23 00 23 02 23 05 23 07 23 11 23 14 23 18 23 22 23 28

11 23 52 23 55 23 58 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

12 .. .. .. .. .. .. 0 01 0 04 0 08 0 12 0 16 0 21 0 27 0 33 0 40 0 49 0 58

13 0 55 0 59 1 03 1 08 1 12 1 18 1 24 1 30 1 37 1 45 1 55 2 05 2 18 2 33

14 2 00 2 05 2 10 2 16 2 22 2 29 2 36 2 45 2 54 3 05 3 17 3 32 3 49 4 11

15 3 05 3 11 3 17 3 24 3 31 3 39 3 48 3 58 4 09 4 22 4 37 4 55 5 18 5 47

16 4 09 4 15 4 22 4 29 4 37 4 45 4 55 5 05 5 17 5 31 5 48 6 07 6 33 7 07

.. .. indicates phenomenon will occur the next day.
36 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Feb. 15 16 41 16 15 15 56 15 39 15 26 15 14 14 54 14 36 14 20 14 04 13 47 13 27 13 15 13 02

16 17 45 17 18 16 58 16 42 16 28 16 16 15 55 15 37 15 21 15 04 14 46 14 26 14 14 14 00

17 18 36 18 12 17 54 17 39 17 26 17 15 16 55 16 39 16 23 16 07 15 51 15 31 15 20 15 07

18 19 16 18 57 18 42 18 29 18 18 18 09 17 53 17 38 17 25 17 12 16 57 16 41 16 31 16 20

19 19 47 19 33 19 22 19 13 19 05 18 58 18 46 18 35 18 25 18 15 18 04 17 51 17 44 17 36

20 20 12 20 04 19 57 19 51 19 47 19 42 19 35 19 28 19 22 19 16 19 09 19 01 18 57 18 52

21 20 34 20 31 20 28 20 26 20 25 20 23 20 21 20 18 20 16 20 14 20 12 20 09 20 08 20 06

22 20 53 20 56 20 58 20 59 21 01 21 02 21 04 21 06 21 08 21 10 21 12 21 15 21 16 21 18

23 21 13 21 21 21 27 21 32 21 36 21 40 21 47 21 53 21 59 22 05 22 11 22 18 22 22 22 27

24 21 34 21 47 21 57 22 05 22 12 22 19 22 30 22 39 22 49 22 58 23 08 23 19 23 26 23 34

25 21 59 22 16 22 29 22 41 22 50 22 59 23 13 23 26 23 38 23 51 .. .. .. .. .. .. .. ..

26 22 28 22 49 23 05 23 19 23 31 23 41 23 58 .. .. .. .. .. .. 0 04 0 19 0 28 0 38

27 23 03 23 27 23 46 .. .. .. .. .. .. .. .. 0 14 0 28 0 43 0 58 1 16 1 27 1 39

28 23 46 .. .. .. .. 0 01 0 14 0 26 0 45 1 02 1 18 1 34 1 51 2 11 2 23 2 36

Mar. 1 .. .. 0 12 0 32 0 48 1 01 1 13 1 34 1 51 2 08 2 24 2 42 3 03 3 15 3 28

2 0 37 1 02 1 22 1 38 1 51 2 03 2 23 2 41 2 57 3 13 3 31 3 51 4 02 4 16

3 1 35 1 59 2 17 2 32 2 44 2 55 3 14 3 30 3 45 4 00 4 16 4 35 4 45 4 58

4 2 39 2 59 3 14 3 27 3 38 3 48 4 04 4 18 4 31 4 45 4 59 5 15 5 24 5 35

5 3 46 4 01 4 14 4 24 4 33 4 41 4 54 5 06 5 17 5 27 5 39 5 52 6 00 6 08

6 4 54 5 05 5 14 5 22 5 28 5 34 5 44 5 52 6 00 6 08 6 17 6 26 6 32 6 38

7 6 03 6 10 6 15 6 20 6 24 6 27 6 33 6 38 6 43 6 48 6 53 6 59 7 02 7 06

8 7 13 7 15 7 16 7 18 7 19 7 20 7 22 7 24 7 25 7 27 7 29 7 31 7 32 7 33

9 8 23 8 20 8 18 8 17 8 15 8 14 8 12 8 10 8 08 8 06 8 04 8 02 8 01 8 00

10 9 34 9 27 9 21 9 16 9 12 9 09 9 02 8 57 8 52 8 46 8 41 8 35 8 31 8 28

11 10 48 10 35 10 26 10 18 10 11 10 05 9 54 9 45 9 37 9 29 9 20 9 10 9 04 8 57

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Feb. 15 .. .. 0 01 0 19 0 34 0 47 0 58 1 17 1 34 1 50 2 05 2 22 2 41 2 52 3 05

16 0 26 0 52 1 12 1 28 1 42 1 54 2 14 2 32 2 49 3 05 3 23 3 44 3 55 4 09

17 1 29 1 55 2 15 2 31 2 44 2 56 3 16 3 34 3 50 4 07 4 24 4 44 4 56 5 09

18 2 46 3 09 3 26 3 41 3 53 4 04 4 22 4 38 4 53 5 07 5 23 5 41 5 51 6 03

19 4 12 4 30 4 44 4 56 5 06 5 14 5 29 5 42 5 54 6 05 6 18 6 32 6 40 6 50

20 5 43 5 55 6 04 6 12 6 19 6 25 6 35 6 44 6 52 7 00 7 09 7 19 7 24 7 31

21 7 12 7 18 7 23 7 27 7 31 7 34 7 39 7 44 7 48 7 52 7 56 8 01 8 04 8 07

22 8 40 8 40 8 40 8 40 8 40 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41

23 10 04 9 59 9 54 9 51 9 48 9 45 9 40 9 36 9 32 9 28 9 24 9 20 9 17 9 14

24 11 25 11 15 11 06 10 59 10 53 10 47 10 38 10 30 10 23 10 15 10 07 9 58 9 53 9 47

25 12 43 12 27 12 15 12 05 11 56 11 48 11 35 11 23 11 12 11 02 10 50 10 37 10 30 10 21

26 13 56 13 36 13 20 13 07 12 56 12 47 12 30 12 16 12 02 11 49 11 35 11 18 11 09 10 58

27 15 04 14 40 14 22 14 07 13 54 13 43 13 24 13 08 12 52 12 37 12 21 12 02 11 51 11 38

28 16 03 15 37 15 18 15 02 14 48 14 36 14 16 13 59 13 42 13 26 13 08 12 48 12 36 12 23

Mar. 1 16 53 16 28 16 08 15 52 15 38 15 26 15 06 14 48 14 32 14 15 13 57 13 37 13 25 13 11

2 17 34 17 10 16 51 16 36 16 23 16 12 15 53 15 36 15 20 15 04 14 47 14 28 14 16 14 03

3 18 07 17 46 17 29 17 16 17 04 16 54 16 37 16 22 16 08 15 53 15 38 15 20 15 10 14 58

4 18 33 18 16 18 02 17 51 17 41 17 33 17 18 17 06 16 53 16 41 16 28 16 13 16 05 15 55

5 18 54 18 41 18 31 18 23 18 15 18 09 17 57 17 47 17 38 17 28 17 18 17 07 17 00 16 52

6 19 13 19 04 18 57 18 51 18 46 18 42 18 34 18 27 18 21 18 15 18 08 18 00 17 55 17 50

7 19 29 19 25 19 22 19 19 19 16 19 14 19 10 19 07 19 04 19 00 18 57 18 53 18 50 18 48

8 19 45 19 45 19 45 19 45 19 45 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46

9 20 01 20 06 20 09 20 12 20 15 20 18 20 22 20 25 20 29 20 32 20 36 20 40 20 43 20 45

10 20 18 20 27 20 35 20 41 20 46 20 51 20 59 21 06 21 13 21 20 21 27 21 35 21 40 21 46

11 20 38 20 52 21 03 21 12 21 20 21 27 21 39 21 50 21 59 22 09 22 20 22 32 22 39 22 47

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 37

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Feb. 15 13 02 12 56 12 50 12 43 12 35 12 27 12 18 12 08 11 57 11 44 11 28 11 10 10 47 10 17

16 14 00 13 54 13 48 13 40 13 33 13 24 13 15 13 04 12 52 12 38 12 22 12 02 11 37 11 02

17 15 07 15 01 14 55 14 48 14 41 14 33 14 24 14 14 14 03 13 50 13 35 13 17 12 54 12 24

18 16 20 16 15 16 10 16 04 15 58 15 51 15 44 15 36 15 27 15 16 15 04 14 49 14 32 14 11

19 17 36 17 32 17 29 17 24 17 20 17 15 17 09 17 03 16 57 16 49 16 41 16 31 16 19 16 05

20 18 52 18 50 18 47 18 45 18 42 18 39 18 36 18 32 18 28 18 24 18 19 18 13 18 07 17 59

21 20 06 20 05 20 04 20 04 20 03 20 02 20 01 19 59 19 58 19 57 19 55 19 53 19 51 19 49

22 21 18 21 18 21 19 21 20 21 21 21 22 21 23 21 24 21 25 21 27 21 28 21 30 21 32 21 34

23 22 27 22 29 22 31 22 34 22 36 22 39 22 42 22 45 22 49 22 53 22 58 23 03 23 10 23 17

24 23 34 23 37 23 41 23 44 23 49 23 53 23 58 .. .. .. .. .. .. .. .. .. .. .. .. .. ..

25 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 04 0 10 0 17 0 25 0 34 0 44 0 57

26 0 38 0 42 0 47 0 52 0 58 1 04 1 11 1 18 1 27 1 36 1 47 2 00 2 15 2 34

27 1 39 1 44 1 50 1 56 2 03 2 10 2 19 2 28 2 38 2 50 3 04 3 20 3 41 4 07

28 2 36 2 42 2 48 2 55 3 03 3 11 3 20 3 31 3 42 3 56 4 12 4 31 4 55 5 29

Mar. 1 3 28 3 35 3 41 3 48 3 56 4 05 4 14 4 25 4 37 4 52 5 08 5 28 5 54 6 30

2 4 16 4 22 4 28 4 35 4 43 4 51 5 00 5 11 5 22 5 36 5 52 6 11 6 35 7 07

3 4 58 5 03 5 09 5 16 5 22 5 30 5 38 5 48 5 58 6 10 6 24 6 40 7 00 7 26

4 5 35 5 40 5 45 5 50 5 56 6 03 6 10 6 18 6 26 6 36 6 47 7 01 7 16 7 35

5 6 08 6 12 6 16 6 20 6 25 6 30 6 36 6 42 6 49 6 56 7 05 7 15 7 27 7 41

6 6 38 6 41 6 44 6 47 6 51 6 54 6 58 7 03 7 08 7 13 7 19 7 26 7 34 7 43

7 7 06 7 08 7 10 7 12 7 14 7 16 7 18 7 21 7 24 7 27 7 31 7 35 7 39 7 45

8 7 33 7 34 7 34 7 35 7 36 7 36 7 37 7 38 7 39 7 40 7 41 7 43 7 44 7 46

9 8 00 7 59 7 59 7 58 7 57 7 57 7 56 7 55 7 54 7 53 7 51 7 50 7 49 7 47

10 8 28 8 26 8 24 8 22 8 20 8 18 8 15 8 12 8 09 8 06 8 02 7 58 7 53 7 48

11 8 57 8 54 8 51 8 48 8 44 8 41 8 36 8 32 8 27 8 21 8 15 8 08 8 00 7 50

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Feb. 15 3 05 3 11 3 17 3 24 3 31 3 39 3 48 3 58 4 09 4 22 4 37 4 55 5 18 5 47

16 4 09 4 15 4 22 4 29 4 37 4 45 4 55 5 05 5 17 5 31 5 48 6 07 6 33 7 07

17 5 09 5 15 5 21 5 28 5 36 5 44 5 53 6 03 6 15 6 28 6 43 7 02 7 25 7 55

18 6 03 6 08 6 13 6 19 6 26 6 33 6 41 6 50 6 59 7 10 7 23 7 38 7 56 8 18

19 6 50 6 54 6 58 7 03 7 08 7 13 7 19 7 26 7 33 7 42 7 51 8 02 8 15 8 30

20 7 31 7 33 7 36 7 40 7 43 7 47 7 51 7 55 8 00 8 05 8 11 8 18 8 26 8 35

21 8 07 8 09 8 10 8 12 8 14 8 15 8 17 8 20 8 22 8 25 8 27 8 31 8 35 8 39

22 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41 8 41

23 9 14 9 13 9 11 9 10 9 08 9 06 9 04 9 02 9 00 8 57 8 54 8 51 8 48 8 43

24 9 47 9 44 9 41 9 38 9 35 9 32 9 28 9 24 9 19 9 14 9 08 9 02 8 54 8 46

25 10 21 10 17 10 13 10 09 10 04 9 59 9 54 9 47 9 41 9 33 9 24 9 14 9 03 8 49

26 10 58 10 53 10 48 10 42 10 36 10 30 10 23 10 15 10 06 9 56 9 44 9 31 9 15 8 55

27 11 38 11 33 11 27 11 20 11 13 11 06 10 57 10 48 10 37 10 25 10 11 9 54 9 33 9 07

28 12 23 12 17 12 10 12 03 11 55 11 47 11 38 11 27 11 15 11 02 10 46 10 26 10 02 9 28

Mar. 1 13 11 13 05 12 58 12 51 12 43 12 35 12 25 12 15 12 02 11 48 11 32 11 11 10 46 10 09

2 14 03 13 57 13 51 13 44 13 37 13 29 13 20 13 09 12 58 12 44 12 29 12 10 11 46 11 14

3 14 58 14 53 14 47 14 41 14 34 14 27 14 19 14 10 14 00 13 48 13 35 13 19 12 59 12 34

4 15 55 15 50 15 45 15 40 15 35 15 29 15 22 15 15 15 06 14 57 14 46 14 33 14 18 14 00

5 16 52 16 49 16 45 16 41 16 37 16 32 16 27 16 21 16 15 16 08 16 00 15 51 15 40 15 27

6 17 50 17 47 17 45 17 42 17 39 17 36 17 33 17 29 17 25 17 20 17 15 17 09 17 02 16 54

7 18 48 18 47 18 45 18 44 18 42 18 41 18 39 18 37 18 35 18 33 18 30 18 27 18 24 18 20

8 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46 19 46

9 20 45 20 46 20 48 20 49 20 51 20 52 20 54 20 56 20 58 21 00 21 03 21 06 21 10 21 14

10 21 46 21 48 21 51 21 53 21 56 22 00 22 03 22 07 22 11 22 16 22 22 22 28 22 35 22 43

11 22 47 22 51 22 55 22 59 23 03 23 08 23 14 23 20 23 26 23 33 23 42 23 52 .. .. .. ..

.. .. indicates phenomenon will occur the next day.
38 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 9 8 23 8 20 8 18 8 17 8 15 8 14 8 12 8 10 8 08 8 06 8 04 8 02 8 01 8 00

10 9 34 9 27 9 21 9 16 9 12 9 09 9 02 8 57 8 52 8 46 8 41 8 35 8 31 8 28

11 10 48 10 35 10 26 10 18 10 11 10 05 9 54 9 45 9 37 9 29 9 20 9 10 9 04 8 57

12 12 02 11 45 11 31 11 20 11 11 11 03 10 48 10 36 10 25 10 13 10 01 9 47 9 39 9 30

13 13 16 12 55 12 38 12 24 12 12 12 02 11 45 11 30 11 16 11 02 10 47 10 30 10 20 10 09

14 14 28 14 03 13 43 13 27 13 14 13 03 12 43 12 26 12 10 11 54 11 37 11 18 11 06 10 53

15 15 33 15 06 14 45 14 29 14 15 14 03 13 42 13 24 13 07 12 50 12 33 12 12 12 00 11 46

16 16 27 16 02 15 42 15 26 15 12 15 01 14 40 14 23 14 07 13 50 13 33 13 12 13 01 12 47

17 17 10 16 49 16 31 16 17 16 05 15 55 15 37 15 21 15 07 14 52 14 36 14 18 14 07 13 55

18 17 44 17 27 17 14 17 03 16 53 16 45 16 30 16 18 16 06 15 54 15 41 15 26 15 18 15 08

19 18 11 18 00 17 51 17 43 17 36 17 31 17 20 17 12 17 03 16 55 16 46 16 36 16 30 16 23

20 18 34 18 28 18 23 18 19 18 16 18 13 18 08 18 03 17 59 17 54 17 50 17 44 17 41 17 38

21 18 54 18 54 18 53 18 53 18 53 18 53 18 53 18 52 18 52 18 52 18 52 18 52 18 52 18 52

22 19 14 19 19 19 23 19 26 19 29 19 32 19 37 19 41 19 45 19 49 19 53 19 58 20 01 20 04

23 19 35 19 45 19 53 20 00 20 06 20 11 20 20 20 29 20 36 20 44 20 52 21 02 21 08 21 14

24 19 58 20 13 20 25 20 35 20 44 20 52 21 05 21 17 21 28 21 39 21 51 22 05 22 13 22 22

25 20 25 20 45 21 01 21 14 21 25 21 34 21 51 22 06 22 19 22 33 22 48 23 05 23 15 23 27

26 20 58 21 22 21 40 21 55 22 08 22 19 22 38 22 55 23 11 23 27 23 43 .. .. .. .. .. ..

27 21 39 22 05 22 25 22 41 22 55 23 07 23 27 23 45 .. .. .. .. .. .. 0 03 0 14 0 27

28 22 28 22 55 23 15 23 31 23 45 23 57 .. .. .. .. 0 02 0 19 0 36 0 57 1 09 1 23

29 23 25 23 50 .. .. .. .. .. .. .. .. 0 17 0 35 0 52 1 09 1 27 1 47 1 59 2 13

30 .. .. .. .. 0 09 0 24 0 37 0 49 1 08 1 25 1 41 1 57 2 13 2 33 2 44 2 57

31 0 28 0 49 1 06 1 20 1 31 1 41 1 59 2 14 2 28 2 42 2 57 3 14 3 24 3 36

Apr. 1 1 34 1 51 2 05 2 16 2 26 2 35 2 49 3 02 3 14 3 25 3 38 3 52 4 01 4 10

2 2 42 2 55 3 05 3 14 3 21 3 28 3 39 3 49 3 58 4 07 4 16 4 27 4 34 4 41

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 9 20 01 20 06 20 09 20 12 20 15 20 18 20 22 20 25 20 29 20 32 20 36 20 40 20 43 20 45

10 20 18 20 27 20 35 20 41 20 46 20 51 20 59 21 06 21 13 21 20 21 27 21 35 21 40 21 46

11 20 38 20 52 21 03 21 12 21 20 21 27 21 39 21 50 21 59 22 09 22 20 22 32 22 39 22 47

12 21 03 21 21 21 35 21 47 21 58 22 07 22 22 22 36 22 49 23 01 23 15 23 31 23 40 23 51

13 21 34 21 57 22 14 22 29 22 41 22 52 23 10 23 26 23 41 23 56 .. .. .. .. .. .. .. ..

14 22 15 22 41 23 01 23 17 23 31 23 42 .. .. .. .. .. .. .. .. 0 12 0 31 0 42 0 54

15 23 10 23 37 23 57 .. .. .. .. .. .. 0 03 0 20 0 37 0 53 1 11 1 31 1 43 1 57

16 .. .. .. .. .. .. 0 14 0 28 0 40 1 01 1 19 1 35 1 52 2 10 2 30 2 42 2 56

17 0 19 0 44 1 03 1 18 1 32 1 43 2 02 2 19 2 35 2 51 3 08 3 27 3 38 3 50

18 1 39 2 00 2 16 2 29 2 40 2 50 3 07 3 21 3 35 3 48 4 03 4 19 4 28 4 39

19 3 06 3 21 3 33 3 43 3 52 3 59 4 12 4 23 4 33 4 43 4 54 5 06 5 14 5 21

20 4 36 4 45 4 52 4 59 5 04 5 08 5 16 5 23 5 30 5 36 5 43 5 50 5 55 6 00

21 6 05 6 08 6 11 6 13 6 15 6 17 6 19 6 22 6 24 6 26 6 29 6 31 6 33 6 35

22 7 32 7 30 7 28 7 26 7 25 7 23 7 21 7 19 7 17 7 15 7 13 7 11 7 10 7 08

23 8 58 8 50 8 43 8 37 8 33 8 29 8 21 8 15 8 09 8 03 7 57 7 50 7 46 7 41

24 10 20 10 07 9 56 9 47 9 39 9 32 9 21 9 10 9 01 8 51 8 41 8 30 8 23 8 16

25 11 39 11 20 11 05 10 53 10 43 10 34 10 19 10 05 9 53 9 40 9 27 9 11 9 03 8 53

26 12 51 12 28 12 11 11 56 11 44 11 33 11 15 10 59 10 44 10 29 10 13 9 55 9 45 9 33

27 13 56 13 30 13 11 12 55 12 41 12 29 12 09 11 52 11 35 11 19 11 02 10 42 10 30 10 17

28 14 50 14 24 14 04 13 47 13 34 13 22 13 01 12 43 12 26 12 09 11 51 11 31 11 19 11 05

29 15 35 15 10 14 50 14 34 14 21 14 09 13 49 13 32 13 16 12 59 12 42 12 22 12 10 11 56

30 16 10 15 48 15 30 15 16 15 04 14 53 14 35 14 19 14 04 13 49 13 33 13 14 13 03 12 51

31 16 38 16 19 16 05 15 52 15 42 15 33 15 17 15 03 14 50 14 37 14 23 14 07 13 58 13 47

Apr. 1 17 00 16 46 16 34 16 25 16 17 16 09 15 57 15 46 15 35 15 24 15 13 15 00 14 53 14 44

2 17 19 17 09 17 01 16 54 16 48 16 43 16 34 16 26 16 19 16 11 16 03 15 53 15 48 15 42

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 39

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 9 8 00 7 59 7 59 7 58 7 57 7 57 7 56 7 55 7 54 7 53 7 51 7 50 7 49 7 47

10 8 28 8 26 8 24 8 22 8 20 8 18 8 15 8 12 8 09 8 06 8 02 7 58 7 53 7 48

11 8 57 8 54 8 51 8 48 8 44 8 41 8 36 8 32 8 27 8 21 8 15 8 08 8 00 7 50

12 9 30 9 26 9 22 9 18 9 13 9 07 9 02 8 55 8 48 8 40 8 31 8 20 8 08 7 54

13 10 09 10 04 9 58 9 53 9 46 9 40 9 32 9 24 9 15 9 04 8 52 8 38 8 21 8 01

14 10 53 10 48 10 42 10 35 10 28 10 20 10 11 10 01 9 50 9 37 9 23 9 05 8 43 8 15

15 11 46 11 40 11 33 11 26 11 18 11 10 11 00 10 50 10 38 10 24 10 07 9 47 9 22 8 47

16 12 47 12 41 12 35 12 27 12 20 12 11 12 02 11 51 11 40 11 26 11 10 10 50 10 25 9 51

17 13 55 13 50 13 44 13 38 13 31 13 23 13 15 13 06 12 55 12 43 12 29 12 13 11 53 11 26

18 15 08 15 04 14 59 14 54 14 48 14 43 14 36 14 29 14 21 14 12 14 01 13 49 13 34 13 16

19 16 23 16 20 16 17 16 13 16 10 16 05 16 01 15 56 15 51 15 45 15 38 15 30 15 21 15 10

20 17 38 17 36 17 35 17 33 17 31 17 29 17 27 17 24 17 22 17 19 17 15 17 11 17 07 17 02

21 18 52 18 52 18 52 18 52 18 51 18 51 18 51 18 51 18 51 18 51 18 51 18 51 18 51 18 51

22 20 04 20 05 20 07 20 08 20 10 20 12 20 14 20 16 20 19 20 22 20 25 20 29 20 33 20 38

23 21 14 21 17 21 20 21 23 21 27 21 30 21 35 21 39 21 44 21 50 21 56 22 04 22 13 22 23

24 22 22 22 26 22 30 22 35 22 40 22 46 22 52 22 59 23 06 23 15 23 24 23 36 23 49 .. ..

25 23 27 23 32 23 37 23 43 23 50 23 57 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 06

26 .. .. .. .. .. .. .. .. .. .. .. .. 0 05 0 13 0 23 0 34 0 47 1 03 1 21 1 45

27 0 27 0 33 0 40 0 46 0 54 1 02 1 11 1 21 1 33 1 46 2 02 2 20 2 44 3 16

28 1 23 1 29 1 36 1 43 1 51 2 00 2 09 2 20 2 33 2 47 3 04 3 25 3 51 4 29

29 2 13 2 19 2 26 2 33 2 41 2 49 2 59 3 10 3 22 3 36 3 53 4 13 4 39 5 14

30 2 57 3 03 3 09 3 16 3 23 3 31 3 40 3 50 4 01 4 14 4 28 4 46 5 08 5 37

31 3 36 3 41 3 46 3 52 3 58 4 05 4 13 4 22 4 31 4 42 4 54 5 09 5 26 5 48

Apr. 1 4 10 4 14 4 19 4 24 4 29 4 34 4 41 4 47 4 55 5 03 5 13 5 24 5 37 5 53

2 4 41 4 44 4 47 4 51 4 55 4 59 5 04 5 09 5 14 5 21 5 28 5 36 5 45 5 56

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Mar. 9 20 45 20 46 20 48 20 49 20 51 20 52 20 54 20 56 20 58 21 00 21 03 21 06 21 10 21 14

10 21 46 21 48 21 51 21 53 21 56 22 00 22 03 22 07 22 11 22 16 22 22 22 28 22 35 22 43

11 22 47 22 51 22 55 22 59 23 03 23 08 23 14 23 20 23 26 23 33 23 42 23 52 .. .. .. ..

12 23 51 23 55 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 03 0 17

13 .. .. .. .. 0 00 0 06 0 12 0 18 0 25 0 33 0 42 0 52 1 03 1 17 1 33 1 53

14 0 54 1 00 1 06 1 12 1 19 1 27 1 35 1 45 1 56 2 08 2 22 2 40 3 01 3 29

15 1 57 2 03 2 09 2 17 2 24 2 33 2 42 2 53 3 05 3 19 3 35 3 55 4 20 4 54

16 2 56 3 02 3 09 3 16 3 24 3 32 3 42 3 53 4 05 4 18 4 35 4 55 5 20 5 54

17 3 50 3 56 4 02 4 09 4 16 4 24 4 32 4 42 4 53 5 05 5 19 5 36 5 57 6 24

18 4 39 4 44 4 49 4 54 5 00 5 06 5 13 5 21 5 30 5 40 5 51 6 04 6 19 6 38

19 5 21 5 25 5 29 5 33 5 37 5 42 5 47 5 53 5 59 6 06 6 14 6 22 6 33 6 45

20 6 00 6 02 6 04 6 06 6 09 6 12 6 15 6 18 6 22 6 26 6 31 6 36 6 42 6 49

21 6 35 6 35 6 36 6 37 6 38 6 39 6 40 6 41 6 42 6 44 6 45 6 47 6 49 6 51

22 7 08 7 07 7 07 7 06 7 05 7 04 7 03 7 02 7 01 7 00 6 58 6 57 6 55 6 53

23 7 41 7 39 7 37 7 35 7 32 7 30 7 27 7 24 7 20 7 16 7 12 7 07 7 01 6 55

24 8 16 8 12 8 09 8 05 8 01 7 57 7 52 7 46 7 41 7 34 7 27 7 18 7 09 6 57

25 8 53 8 48 8 43 8 38 8 33 8 27 8 20 8 13 8 05 7 55 7 45 7 33 7 19 7 01

26 9 33 9 27 9 21 9 15 9 08 9 01 8 53 8 44 8 34 8 22 8 09 7 53 7 34 7 09

27 10 17 10 11 10 04 9 57 9 50 9 41 9 32 9 22 9 10 8 56 8 41 8 21 7 58 7 25

28 11 05 10 58 10 52 10 44 10 36 10 28 10 18 10 07 9 55 9 40 9 23 9 03 8 36 7 58

29 11 56 11 50 11 44 11 36 11 29 11 20 11 11 11 00 10 48 10 34 10 18 9 57 9 32 8 56

30 12 51 12 45 12 39 12 32 12 25 12 18 12 09 11 59 11 49 11 36 11 22 11 04 10 42 10 14

31 13 47 13 42 13 37 13 31 13 25 13 19 13 11 13 03 12 54 12 44 12 32 12 18 12 01 11 40

Apr. 1 14 44 14 40 14 36 14 32 14 27 14 22 14 16 14 10 14 03 13 55 13 46 13 35 13 23 13 08

2 15 42 15 39 15 36 15 33 15 30 15 26 15 22 15 17 15 12 15 07 15 01 14 53 14 45 14 35

.. .. indicates phenomenon will occur the next day.
40 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 1 1 34 1 51 2 05 2 16 2 26 2 35 2 49 3 02 3 14 3 25 3 38 3 52 4 01 4 10

2 2 42 2 55 3 05 3 14 3 21 3 28 3 39 3 49 3 58 4 07 4 16 4 27 4 34 4 41

3 3 51 3 59 4 06 4 12 4 17 4 21 4 28 4 35 4 41 4 47 4 53 5 00 5 05 5 09

4 5 01 5 05 5 08 5 10 5 12 5 14 5 18 5 21 5 23 5 26 5 29 5 32 5 34 5 36

5 6 12 6 11 6 10 6 09 6 09 6 08 6 08 6 07 6 06 6 05 6 05 6 04 6 04 6 03

6 7 24 7 18 7 14 7 10 7 06 7 03 6 58 6 54 6 50 6 46 6 41 6 36 6 34 6 30

7 8 38 8 27 8 18 8 11 8 05 8 00 7 50 7 42 7 35 7 27 7 19 7 10 7 05 7 00

8 9 53 9 37 9 25 9 14 9 05 8 58 8 44 8 33 8 22 8 12 8 00 7 47 7 40 7 32

9 11 08 10 47 10 31 10 18 10 07 9 57 9 40 9 26 9 12 8 59 8 45 8 28 8 19 8 08

10 12 21 11 56 11 37 11 22 11 09 10 57 10 38 10 21 10 06 9 50 9 33 9 14 9 03 8 51

11 13 28 13 01 12 40 12 23 12 09 11 57 11 36 11 18 11 01 10 45 10 27 10 06 9 54 9 40

12 14 24 13 58 13 37 13 21 13 07 12 55 12 34 12 16 11 59 11 42 11 24 11 03 10 51 10 37

13 15 10 14 46 14 28 14 13 14 00 13 49 13 29 13 13 12 57 12 41 12 25 12 05 11 54 11 41

14 15 45 15 26 15 11 14 58 14 48 14 38 14 22 14 08 13 55 13 41 13 27 13 11 13 01 12 50

15 16 13 15 59 15 48 15 39 15 31 15 24 15 11 15 01 14 51 14 41 14 30 14 17 14 10 14 02

16 16 36 16 28 16 21 16 15 16 10 16 06 15 58 15 51 15 45 15 39 15 32 15 24 15 20 15 15

17 16 56 16 53 16 51 16 49 16 47 16 45 16 43 16 40 16 38 16 36 16 33 16 31 16 29 16 27

18 17 16 17 18 17 20 17 21 17 23 17 24 17 26 17 28 17 30 17 32 17 34 17 36 17 38 17 39

19 17 35 17 43 17 49 17 54 17 59 18 03 18 10 18 16 18 22 18 28 18 34 18 41 18 46 18 51

20 17 57 18 10 18 20 18 29 18 36 18 43 18 54 19 04 19 14 19 23 19 34 19 46 19 53 20 01

21 18 22 18 40 18 54 19 06 19 16 19 25 19 40 19 54 20 06 20 19 20 33 20 49 20 58 21 08

22 18 52 19 15 19 32 19 47 19 59 20 09 20 28 20 44 20 59 21 14 21 30 21 49 22 00 22 13

23 19 30 19 56 20 16 20 32 20 45 20 57 21 17 21 35 21 52 22 08 22 26 22 47 22 59 23 13

24 20 17 20 44 21 04 21 21 21 35 21 47 22 08 22 27 22 44 23 01 23 19 23 40 23 52 .. ..

25 21 12 21 38 21 58 22 14 22 28 22 40 23 00 23 17 23 34 23 50 .. .. .. .. .. .. 0 06

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 1 17 00 16 46 16 34 16 25 16 17 16 09 15 57 15 46 15 35 15 24 15 13 15 00 14 53 14 44

2 17 19 17 09 17 01 16 54 16 48 16 43 16 34 16 26 16 19 16 11 16 03 15 53 15 48 15 42

3 17 36 17 31 17 26 17 22 17 19 17 16 17 10 17 06 17 01 16 57 16 52 16 47 16 44 16 40

4 17 52 17 51 17 50 17 49 17 48 17 47 17 46 17 45 17 44 17 43 17 42 17 40 17 40 17 39

5 18 08 18 11 18 13 18 16 18 17 18 19 18 22 18 25 18 27 18 29 18 32 18 35 18 36 18 38

6 18 24 18 32 18 38 18 44 18 48 18 52 18 59 19 05 19 11 19 17 19 23 19 30 19 34 19 39

7 18 43 18 55 19 06 19 14 19 21 19 27 19 38 19 48 19 57 20 06 20 16 20 27 20 34 20 41

8 19 06 19 23 19 37 19 48 19 58 20 06 20 21 20 34 20 46 20 58 21 11 21 26 21 35 21 45

9 19 34 19 56 20 13 20 27 20 39 20 49 21 07 21 23 21 38 21 52 22 08 22 26 22 36 22 49

10 20 12 20 37 20 57 21 13 21 26 21 38 21 58 22 16 22 32 22 48 23 06 23 26 23 38 23 51

11 21 01 21 28 21 49 22 06 22 20 22 32 22 53 23 12 23 29 23 46 .. .. .. .. .. .. .. ..

12 22 04 22 30 22 50 23 07 23 20 23 32 23 53 .. .. .. .. .. .. 0 04 0 25 0 37 0 51

13 23 18 23 41 23 59 .. .. .. .. .. .. .. .. 0 10 0 27 0 43 1 01 1 21 1 32 1 46

14 .. .. .. .. .. .. 0 13 0 25 0 36 0 54 1 10 1 25 1 39 1 55 2 12 2 23 2 34

15 0 41 0 58 1 12 1 24 1 34 1 42 1 57 2 10 2 21 2 33 2 46 3 00 3 08 3 17

16 2 07 2 19 2 28 2 36 2 43 2 49 2 59 3 08 3 17 3 25 3 34 3 43 3 49 3 56

17 3 34 3 40 3 45 3 49 3 53 3 56 4 01 4 06 4 10 4 15 4 19 4 24 4 27 4 30

18 5 01 5 01 5 01 5 02 5 02 5 02 5 02 5 03 5 03 5 03 5 03 5 03 5 03 5 03

19 6 27 6 21 6 17 6 13 6 10 6 08 6 03 5 59 5 55 5 51 5 47 5 42 5 39 5 36

20 7 51 7 40 7 31 7 24 7 18 7 12 7 03 6 54 6 47 6 39 6 30 6 21 6 16 6 09

21 9 14 8 57 8 44 8 33 8 24 8 16 8 02 7 50 7 39 7 28 7 16 7 02 6 54 6 45

22 10 31 10 10 9 53 9 40 9 28 9 18 9 01 8 46 8 32 8 17 8 03 7 45 7 35 7 24

23 11 42 11 17 10 58 10 42 10 29 10 17 9 57 9 40 9 24 9 08 8 51 8 32 8 20 8 07

24 12 43 12 16 11 55 11 39 11 25 11 13 10 52 10 34 10 17 10 00 9 42 9 21 9 09 8 55

25 13 32 13 06 12 46 12 30 12 16 12 04 11 43 11 25 11 08 10 51 10 33 10 12 10 00 9 46

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 41

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 1 4 10 4 14 4 19 4 24 4 29 4 34 4 41 4 47 4 55 5 03 5 13 5 24 5 37 5 53

2 4 41 4 44 4 47 4 51 4 55 4 59 5 04 5 09 5 14 5 21 5 28 5 36 5 45 5 56

3 5 09 5 11 5 14 5 16 5 19 5 21 5 24 5 28 5 31 5 35 5 40 5 45 5 51 5 57

4 5 36 5 37 5 38 5 39 5 41 5 42 5 43 5 45 5 46 5 48 5 50 5 52 5 55 5 58

5 6 03 6 03 6 03 6 02 6 02 6 02 6 02 6 01 6 01 6 01 6 00 6 00 5 59 5 58

6 6 30 6 29 6 28 6 26 6 24 6 22 6 21 6 18 6 16 6 13 6 10 6 07 6 03 5 59

7 7 00 6 57 6 54 6 51 6 48 6 45 6 41 6 37 6 33 6 28 6 22 6 16 6 09 6 00

8 7 32 7 28 7 24 7 20 7 15 7 10 7 05 6 59 6 52 6 45 6 36 6 27 6 16 6 03

9 8 08 8 03 7 58 7 53 7 47 7 40 7 33 7 25 7 17 7 07 6 55 6 42 6 27 6 07

10 8 51 8 45 8 39 8 32 8 25 8 18 8 09 7 59 7 49 7 36 7 22 7 05 6 45 6 18

11 9 40 9 34 9 27 9 20 9 12 9 04 8 54 8 43 8 31 8 17 8 01 7 41 7 16 6 41

12 10 37 10 31 10 24 10 17 10 09 10 00 9 51 9 40 9 27 9 13 8 56 8 36 8 09 7 32

13 11 41 11 35 11 29 11 22 11 15 11 07 10 58 10 48 10 37 10 24 10 09 9 50 9 27 8 57

14 12 50 12 45 12 40 12 34 12 28 12 21 12 14 12 06 11 57 11 46 11 34 11 20 11 03 10 41

15 14 02 13 58 13 54 13 50 13 46 13 41 13 35 13 29 13 22 13 15 13 06 12 56 12 45 12 31

16 15 15 15 12 15 10 15 07 15 05 15 02 14 58 14 55 14 51 14 46 14 41 14 35 14 29 14 21

17 16 27 16 27 16 26 16 25 16 24 16 23 16 22 16 20 16 19 16 18 16 16 16 14 16 12 16 09

18 17 39 17 40 17 41 17 42 17 43 17 43 17 44 17 46 17 47 17 48 17 50 17 52 17 54 17 56

19 18 51 18 53 18 55 18 57 19 00 19 03 19 06 19 10 19 14 19 18 19 23 19 28 19 35 19 42

20 20 01 20 04 20 08 20 12 20 16 20 21 20 26 20 32 20 38 20 46 20 54 21 03 21 15 21 28

21 21 08 21 13 21 18 21 24 21 30 21 36 21 43 21 51 22 00 22 10 22 22 22 36 22 52 23 12

22 22 13 22 19 22 25 22 31 22 38 22 46 22 55 23 05 23 16 23 28 23 43 .. .. .. .. .. ..

23 23 13 23 19 23 25 23 33 23 41 23 49 23 59 .. .. .. .. .. .. .. .. 0 01 0 23 0 52

24 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 10 0 22 0 37 0 54 1 14 1 41 2 19

25 0 06 0 13 0 20 0 27 0 35 0 44 0 54 1 05 1 18 1 32 1 50 2 11 2 38 3 18

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 1 14 44 14 40 14 36 14 32 14 27 14 22 14 16 14 10 14 03 13 55 13 46 13 35 13 23 13 08

2 15 42 15 39 15 36 15 33 15 30 15 26 15 22 15 17 15 12 15 07 15 01 14 53 14 45 14 35

3 16 40 16 38 16 37 16 35 16 33 16 31 16 28 16 26 16 23 16 20 16 16 16 12 16 08 16 02

4 17 39 17 38 17 38 17 37 17 37 17 36 17 36 17 35 17 35 17 34 17 33 17 32 17 31 17 29

5 18 38 18 39 18 40 18 41 18 42 18 43 18 44 18 46 18 47 18 49 18 51 18 53 18 55 18 58

6 19 39 19 41 19 43 19 46 19 48 19 51 19 54 19 57 20 01 20 05 20 10 20 15 20 21 20 28

7 20 41 20 45 20 48 20 52 20 56 21 00 21 05 21 11 21 17 21 23 21 31 21 40 21 50 22 02

8 21 45 21 49 21 54 21 59 22 05 22 11 22 17 22 25 22 33 22 42 22 53 23 06 23 20 23 39

9 22 49 22 54 23 00 23 06 23 13 23 20 23 29 23 38 23 48 .. .. .. .. .. .. .. .. .. ..

10 23 51 23 57 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 00 0 14 0 30 0 51 1 17

11 .. .. .. .. 0 04 0 11 0 19 0 27 0 37 0 47 0 59 1 13 1 29 1 49 2 14 2 48

12 0 51 0 57 1 04 1 11 1 19 1 28 1 38 1 49 2 01 2 15 2 32 2 53 3 20 3 57

13 1 46 1 52 1 58 2 05 2 12 2 21 2 30 2 40 2 52 3 05 3 21 3 39 4 02 4 33

14 2 34 2 40 2 45 2 51 2 58 3 05 3 13 3 21 3 31 3 42 3 55 4 10 4 27 4 50

15 3 17 3 21 3 26 3 31 3 36 3 41 3 47 3 54 4 01 4 09 4 19 4 30 4 42 4 57

16 3 56 3 58 4 01 4 05 4 08 4 12 4 16 4 20 4 25 4 31 4 37 4 44 4 52 5 01

17 4 30 4 32 4 33 4 35 4 37 4 39 4 41 4 43 4 45 4 48 4 51 4 55 4 58 5 03

18 5 03 5 03 5 03 5 03 5 04 5 04 5 04 5 04 5 04 5 04 5 04 5 04 5 04 5 04

19 5 36 5 35 5 33 5 32 5 30 5 28 5 26 5 24 5 22 5 19 5 16 5 13 5 09 5 05

20 6 09 6 07 6 04 6 01 5 57 5 54 5 50 5 46 5 41 5 36 5 30 5 23 5 15 5 06

21 6 45 6 41 6 37 6 32 6 27 6 22 6 16 6 10 6 03 5 55 5 46 5 35 5 23 5 09

22 7 24 7 19 7 14 7 08 7 02 6 55 6 47 6 39 6 29 6 19 6 06 5 52 5 35 5 14

23 8 07 8 01 7 55 7 48 7 41 7 33 7 24 7 14 7 02 6 49 6 34 6 16 5 54 5 24

24 8 55 8 48 8 41 8 34 8 26 8 17 8 08 7 57 7 44 7 30 7 13 6 52 6 25 5 47

25 9 46 9 40 9 33 9 25 9 17 9 09 8 59 8 48 8 35 8 20 8 03 7 42 7 14 6 35

.. .. indicates phenomenon will occur the next day.
42 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 24 20 17 20 44 21 04 21 21 21 35 21 47 22 08 22 27 22 44 23 01 23 19 23 40 23 52 .. ..

25 21 12 21 38 21 58 22 14 22 28 22 40 23 00 23 17 23 34 23 50 .. .. .. .. .. .. 0 06

26 22 13 22 37 22 55 23 09 23 22 23 33 23 51 .. .. .. .. .. .. 0 08 0 28 0 40 0 54

27 23 19 23 39 23 54 .. .. .. .. .. .. .. .. 0 07 0 22 0 37 0 54 1 12 1 23 1 35

28 .. .. .. .. .. .. 0 06 0 17 0 26 0 42 0 56 1 09 1 22 1 36 1 51 2 01 2 11

29 0 27 0 42 0 54 1 04 1 12 1 20 1 32 1 43 1 54 2 04 2 15 2 27 2 35 2 43

30 1 36 1 46 1 55 2 02 2 08 2 13 2 22 2 30 2 37 2 44 2 52 3 01 3 06 3 12

May 1 2 46 2 51 2 56 3 00 3 03 3 06 3 11 3 15 3 20 3 24 3 28 3 33 3 36 3 39

2 3 57 3 57 3 58 3 59 3 59 4 00 4 01 4 01 4 02 4 03 4 04 4 04 4 05 4 06

3 5 09 5 05 5 02 4 59 4 57 4 55 4 51 4 48 4 45 4 43 4 40 4 36 4 35 4 32

4 6 23 6 14 6 07 6 01 5 56 5 51 5 43 5 37 5 30 5 24 5 17 5 10 5 06 5 01

5 7 39 7 25 7 14 7 04 6 56 6 49 6 38 6 27 6 17 6 08 5 58 5 46 5 39 5 32

6 8 56 8 37 8 22 8 09 7 59 7 50 7 34 7 20 7 08 6 55 6 41 6 26 6 17 6 07

7 10 12 9 48 9 30 9 15 9 02 8 51 8 32 8 16 8 01 7 46 7 29 7 11 7 00 6 48

8 11 23 10 56 10 35 10 18 10 04 9 52 9 31 9 13 8 57 8 40 8 22 8 01 7 50 7 36

9 12 23 11 56 11 35 11 18 11 04 10 51 10 30 10 12 9 54 9 37 9 19 8 58 8 45 8 31

10 13 12 12 47 12 28 12 12 11 58 11 46 11 26 11 09 10 53 10 36 10 19 9 59 9 47 9 33

11 13 50 13 29 13 12 12 59 12 47 12 37 12 19 12 04 11 50 11 36 11 20 11 03 10 52 10 40

12 14 19 14 03 13 50 13 40 13 31 13 23 13 09 12 57 12 45 12 34 12 22 12 08 12 00 11 50

13 14 42 14 32 14 23 14 16 14 10 14 04 13 55 13 47 13 39 13 31 13 23 13 13 13 07 13 01

14 15 02 14 57 14 53 14 49 14 46 14 43 14 39 14 34 14 31 14 27 14 22 14 18 14 15 14 12

15 15 21 15 21 15 21 15 21 15 21 15 21 15 21 15 21 15 21 15 21 15 21 15 22 15 22 15 22

16 15 39 15 44 15 49 15 52 15 55 15 58 16 03 16 07 16 11 16 16 16 20 16 25 16 28 16 32

17 15 59 16 09 16 18 16 25 16 31 16 36 16 46 16 54 17 02 17 10 17 19 17 29 17 34 17 41

18 16 21 16 37 16 49 17 00 17 09 17 17 17 30 17 42 17 54 18 05 18 18 18 32 18 40 18 49

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 24 12 43 12 16 11 55 11 39 11 25 11 13 10 52 10 34 10 17 10 00 9 42 9 21 9 09 8 55

25 13 32 13 06 12 46 12 30 12 16 12 04 11 43 11 25 11 08 10 51 10 33 10 12 10 00 9 46

26 14 12 13 48 13 29 13 14 13 01 12 50 12 30 12 13 11 58 11 42 11 25 11 05 10 54 10 40

27 14 42 14 22 14 06 13 52 13 41 13 31 13 14 12 59 12 45 12 31 12 16 11 58 11 48 11 37

28 15 06 14 50 14 37 14 26 14 17 14 09 13 55 13 42 13 31 13 19 13 06 12 52 12 44 12 34

29 15 26 15 14 15 05 14 57 14 50 14 44 14 33 14 24 14 15 14 06 13 56 13 45 13 39 13 32

30 15 43 15 36 15 30 15 25 15 20 15 16 15 09 15 03 14 58 14 52 14 46 14 38 14 34 14 30

May 1 15 59 15 56 15 53 15 51 15 49 15 48 15 45 15 42 15 40 15 38 15 35 15 32 15 30 15 28

2 16 14 16 16 16 17 16 18 16 19 16 19 16 21 16 22 16 23 16 24 16 25 16 26 16 27 16 28

3 16 30 16 36 16 41 16 45 16 49 16 52 16 57 17 02 17 07 17 11 17 16 17 22 17 25 17 28

4 16 48 16 59 17 07 17 15 17 21 17 26 17 36 17 45 17 53 18 01 18 09 18 19 18 25 18 31

5 17 09 17 25 17 37 17 48 17 56 18 04 18 18 18 30 18 41 18 52 19 04 19 18 19 26 19 35

6 17 35 17 56 18 12 18 25 18 37 18 47 19 04 19 19 19 33 19 47 20 02 20 19 20 29 20 41

7 18 10 18 35 18 54 19 09 19 23 19 34 19 54 20 11 20 27 20 43 21 00 21 20 21 32 21 45

8 18 56 19 23 19 44 20 01 20 15 20 27 20 49 21 07 21 24 21 41 21 59 22 21 22 33 22 47

9 19 55 20 22 20 43 21 00 21 14 21 26 21 47 22 05 22 22 22 39 22 57 23 18 23 30 23 44

10 21 06 21 30 21 49 22 04 22 17 22 29 22 48 23 05 23 20 23 36 23 52 .. .. .. .. .. ..

11 22 25 22 45 23 01 23 13 23 24 23 33 23 50 .. .. .. .. .. .. .. .. 0 11 0 22 0 34

12 23 49 .. .. .. .. .. .. .. .. .. .. .. .. 0 04 0 17 0 29 0 43 0 59 1 08 1 18

13 .. .. 0 03 0 15 0 24 0 32 0 39 0 51 1 01 1 11 1 21 1 31 1 42 1 49 1 57

14 1 14 1 22 1 29 1 35 1 40 1 44 1 51 1 58 2 04 2 09 2 16 2 23 2 27 2 31

15 2 38 2 41 2 43 2 45 2 47 2 48 2 51 2 53 2 55 2 57 2 59 3 01 3 02 3 03

16 4 02 3 59 3 57 3 55 3 54 3 52 3 49 3 47 3 45 3 43 3 41 3 38 3 36 3 35

17 5 26 5 17 5 10 5 05 5 00 4 56 4 48 4 42 4 36 4 29 4 23 4 16 4 11 4 07

18 6 48 6 34 6 23 6 14 6 06 5 59 5 47 5 36 5 27 5 17 5 07 4 55 4 48 4 40

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 43

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 24 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 10 0 22 0 37 0 54 1 14 1 41 2 19

25 0 06 0 13 0 20 0 27 0 35 0 44 0 54 1 05 1 18 1 32 1 50 2 11 2 38 3 18

26 0 54 1 00 1 06 1 13 1 21 1 29 1 39 1 49 2 01 2 15 2 31 2 50 3 15 3 48

27 1 35 1 40 1 46 1 53 1 59 2 07 2 15 2 24 2 35 2 47 3 00 3 16 3 36 4 01

28 2 11 2 16 2 20 2 26 2 32 2 38 2 45 2 52 3 01 3 10 3 21 3 34 3 49 4 07

29 2 43 2 46 2 50 2 54 2 59 3 04 3 09 3 15 3 21 3 29 3 37 3 46 3 57 4 10

30 3 12 3 14 3 17 3 20 3 23 3 27 3 30 3 34 3 39 3 44 3 49 3 55 4 03 4 11

May 1 3 39 3 40 3 42 3 44 3 45 3 47 3 49 3 51 3 54 3 57 4 00 4 03 4 07 4 11

2 4 06 4 06 4 06 4 06 4 07 4 07 4 07 4 08 4 08 4 09 4 09 4 10 4 11 4 11

3 4 32 4 31 4 31 4 29 4 28 4 27 4 26 4 24 4 23 4 21 4 19 4 17 4 14 4 11

4 5 01 4 59 4 56 4 54 4 51 4 49 4 45 4 42 4 38 4 34 4 30 4 25 4 19 4 12

5 5 32 5 29 5 25 5 21 5 17 5 13 5 08 5 03 4 57 4 50 4 43 4 34 4 25 4 13

6 6 07 6 03 5 58 5 53 5 47 5 41 5 35 5 27 5 19 5 10 5 00 4 48 4 33 4 16

7 6 48 6 43 6 37 6 30 6 24 6 16 6 08 5 59 5 49 5 37 5 23 5 07 4 48 4 24

8 7 36 7 30 7 23 7 16 7 08 7 00 6 50 6 40 6 28 6 14 5 58 5 38 5 14 4 40

9 8 31 8 25 8 18 8 10 8 02 7 53 7 44 7 32 7 20 7 05 6 48 6 27 5 59 5 20

10 9 33 9 27 9 21 9 14 9 06 8 57 8 48 8 38 8 26 8 12 7 55 7 36 7 11 6 36

11 10 40 10 35 10 29 10 23 10 17 10 09 10 01 9 52 9 42 9 31 9 17 9 01 8 42 8 17

12 11 50 11 46 11 42 11 37 11 32 11 26 11 20 11 13 11 05 10 57 10 47 10 35 10 22 10 05

13 13 01 12 58 12 55 12 52 12 49 12 45 12 41 12 36 12 31 12 25 12 19 12 12 12 03 11 53

14 14 12 14 10 14 09 14 07 14 06 14 04 14 02 14 00 13 57 13 54 13 51 13 48 13 44 13 39

15 15 22 15 22 15 22 15 22 15 22 15 22 15 22 15 23 15 23 15 23 15 23 15 23 15 23 15 24

16 16 32 16 33 16 35 16 37 16 38 16 40 16 43 16 45 16 48 16 51 16 54 16 58 17 02 17 08

17 17 41 17 44 17 47 17 50 17 54 17 58 18 02 18 07 18 12 18 18 18 25 18 32 18 41 18 52

18 18 49 18 54 18 58 19 03 19 08 19 14 19 20 19 27 19 35 19 44 19 54 20 06 20 20 20 37

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Apr. 24 8 55 8 48 8 41 8 34 8 26 8 17 8 08 7 57 7 44 7 30 7 13 6 52 6 25 5 47

25 9 46 9 40 9 33 9 25 9 17 9 09 8 59 8 48 8 35 8 20 8 03 7 42 7 14 6 35

26 10 40 10 34 10 28 10 21 10 14 10 05 9 56 9 46 9 34 9 21 9 05 8 46 8 22 7 49

27 11 37 11 31 11 26 11 20 11 13 11 06 10 58 10 49 10 39 10 28 10 14 9 59 9 39 9 15

28 12 34 12 30 12 25 12 20 12 15 12 09 12 02 11 55 11 47 11 38 11 28 11 16 11 01 10 44

29 13 32 13 28 13 25 13 21 13 17 13 13 13 08 13 03 12 57 12 50 12 43 12 34 12 24 12 12

30 14 30 14 28 14 25 14 23 14 20 14 18 14 15 14 11 14 07 14 03 13 59 13 53 13 47 13 40

May 1 15 28 15 27 15 26 15 25 15 24 15 23 15 22 15 20 15 19 15 17 15 15 15 13 15 10 15 07

2 16 28 16 28 16 28 16 29 16 29 16 30 16 30 16 31 16 31 16 32 16 33 16 33 16 34 16 36

3 17 28 17 30 17 32 17 34 17 35 17 38 17 40 17 43 17 45 17 49 17 52 17 56 18 01 18 06

4 18 31 18 34 18 37 18 40 18 44 18 48 18 52 18 56 19 02 19 07 19 14 19 21 19 30 19 40

5 19 35 19 39 19 44 19 48 19 53 19 59 20 05 20 12 20 19 20 28 20 38 20 49 21 02 21 18

6 20 41 20 46 20 51 20 57 21 04 21 11 21 19 21 27 21 37 21 49 22 02 22 17 22 36 23 00

7 21 45 21 51 21 58 22 05 22 12 22 20 22 30 22 40 22 52 23 05 23 21 23 40 .. .. .. ..

8 22 47 22 53 23 00 23 08 23 16 23 25 23 34 23 46 23 58 .. .. .. .. .. .. 0 05 0 38

9 23 44 23 50 23 57 .. .. .. .. .. .. .. .. .. .. .. .. 0 13 0 30 0 51 1 19 1 58

10 .. .. .. .. .. .. 0 04 0 12 0 20 0 30 0 41 0 53 1 07 1 23 1 43 2 09 2 43

11 0 34 0 40 0 46 0 52 0 59 1 07 1 15 1 24 1 35 1 47 2 01 2 17 2 37 3 03

12 1 18 1 23 1 28 1 33 1 38 1 45 1 51 1 59 2 07 2 16 2 27 2 39 2 54 3 11

13 1 57 2 00 2 04 2 07 2 11 2 16 2 21 2 26 2 32 2 38 2 46 2 54 3 04 3 15

14 2 31 2 33 2 35 2 38 2 40 2 43 2 46 2 49 2 52 2 56 3 00 3 05 3 10 3 17

15 3 03 3 04 3 05 3 05 3 06 3 07 3 08 3 09 3 10 3 11 3 12 3 14 3 15 3 17

16 3 35 3 34 3 33 3 32 3 31 3 30 3 29 3 28 3 27 3 25 3 24 3 22 3 20 3 18

17 4 07 4 05 4 02 4 00 3 57 3 55 3 51 3 48 3 45 3 40 3 36 3 31 3 25 3 18

18 4 40 4 37 4 33 4 29 4 25 4 21 4 16 4 10 4 04 3 57 3 50 3 41 3 31 3 19

.. .. indicates phenomenon will occur the next day.
44 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

May 17 15 59 16 09 16 18 16 25 16 31 16 36 16 46 16 54 17 02 17 10 17 19 17 29 17 34 17 41

18 16 21 16 37 16 49 17 00 17 09 17 17 17 30 17 42 17 54 18 05 18 18 18 32 18 40 18 49

19 16 49 17 09 17 25 17 39 17 50 18 00 18 17 18 32 18 46 19 01 19 16 19 34 19 44 19 56

20 17 23 17 47 18 06 18 22 18 35 18 46 19 06 19 23 19 40 19 56 20 13 20 33 20 45 20 58

21 18 06 18 33 18 53 19 10 19 24 19 36 19 57 20 15 20 33 20 50 21 08 21 29 21 42 21 56

22 18 58 19 25 19 45 20 02 20 16 20 28 20 49 21 08 21 25 21 42 22 00 22 21 22 33 22 47

23 19 57 20 22 20 42 20 57 21 11 21 22 21 42 21 59 22 15 22 31 22 48 23 07 23 19 23 32

24 21 03 21 24 21 41 21 54 22 06 22 16 22 33 22 48 23 03 23 17 23 32 23 49 23 59 .. ..

25 22 10 22 27 22 41 22 52 23 02 23 10 23 24 23 37 23 48 .. .. .. .. .. .. .. .. 0 10

26 23 19 23 32 23 42 23 50 23 57 .. .. .. .. .. .. .. .. 0 00 0 12 0 26 0 34 0 44

27 .. .. .. .. .. .. .. .. .. .. 0 03 0 14 0 23 0 32 0 41 0 50 1 01 1 07 1 14

28 0 29 0 36 0 43 0 48 0 52 0 56 1 03 1 09 1 15 1 20 1 26 1 33 1 37 1 41

29 1 39 1 42 1 44 1 46 1 48 1 49 1 52 1 55 1 57 1 59 2 01 2 04 2 06 2 08

30 2 50 2 48 2 47 2 45 2 44 2 43 2 42 2 41 2 39 2 38 2 37 2 36 2 35 2 34

31 4 03 3 56 3 51 3 46 3 42 3 39 3 33 3 28 3 23 3 19 3 14 3 08 3 05 3 01

June 1 5 18 5 07 4 57 4 49 4 42 4 37 4 26 4 18 4 09 4 01 3 53 3 43 3 37 3 31

2 6 36 6 19 6 05 5 54 5 45 5 37 5 22 5 10 4 58 4 47 4 35 4 21 4 13 4 04

3 7 55 7 32 7 15 7 01 6 49 6 39 6 21 6 06 5 51 5 37 5 22 5 04 4 54 4 43

4 9 10 8 44 8 23 8 07 7 53 7 42 7 21 7 04 6 47 6 31 6 14 5 54 5 42 5 29

5 10 17 9 49 9 27 9 10 8 56 8 43 8 22 8 03 7 46 7 29 7 10 6 49 6 37 6 22

6 11 11 10 45 10 24 10 08 9 54 9 42 9 21 9 03 8 46 8 29 8 11 7 50 7 38 7 24

7 11 53 11 30 11 13 10 58 10 46 10 35 10 16 10 00 9 45 9 30 9 13 8 54 8 44 8 31

8 12 25 12 07 11 53 11 41 11 31 11 23 11 08 10 54 10 42 10 29 10 16 10 00 9 52 9 41

9 12 50 12 37 12 27 12 19 12 12 12 06 11 55 11 45 11 36 11 27 11 17 11 06 11 00 10 52

10 13 10 13 03 12 58 12 53 12 49 12 45 12 39 12 33 12 28 12 23 12 17 12 11 12 07 12 03

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

May 17 5 26 5 17 5 10 5 05 5 00 4 56 4 48 4 42 4 36 4 29 4 23 4 16 4 11 4 07

18 6 48 6 34 6 23 6 14 6 06 5 59 5 47 5 36 5 27 5 17 5 07 4 55 4 48 4 40

19 8 08 7 49 7 34 7 21 7 11 7 01 6 46 6 32 6 19 6 06 5 52 5 37 5 28 5 17

20 9 23 9 00 8 41 8 26 8 14 8 02 7 44 7 27 7 12 6 57 6 40 6 22 6 11 5 58

21 10 30 10 03 9 43 9 27 9 13 9 01 8 40 8 22 8 05 7 48 7 30 7 10 6 58 6 44

22 11 26 10 59 10 38 10 21 10 07 9 54 9 33 9 15 8 58 8 41 8 22 8 01 7 48 7 34

23 12 10 11 45 11 25 11 09 10 55 10 43 10 23 10 06 9 49 9 32 9 15 8 54 8 42 8 28

24 12 44 12 22 12 05 11 50 11 38 11 28 11 09 10 53 10 38 10 23 10 07 9 48 9 37 9 25

25 13 11 12 53 12 38 12 26 12 16 12 07 11 51 11 38 11 25 11 12 10 58 10 42 10 33 10 22

26 13 32 13 19 13 07 12 58 12 50 12 43 12 31 12 20 12 10 11 59 11 48 11 36 11 28 11 20

27 13 50 13 41 13 33 13 27 13 21 13 16 13 08 13 00 12 53 12 46 12 38 12 29 12 24 12 18

28 14 06 14 01 13 57 13 53 13 50 13 48 13 43 13 39 13 35 13 31 13 27 13 22 13 19 13 16

29 14 21 14 21 14 20 14 20 14 19 14 19 14 18 14 18 14 17 14 17 14 16 14 15 14 15 14 14

30 14 36 14 40 14 43 14 46 14 48 14 51 14 54 14 57 15 00 15 03 15 06 15 10 15 12 15 14

31 14 53 15 01 15 08 15 14 15 19 15 24 15 32 15 39 15 45 15 51 15 58 16 06 16 11 16 16

June 1 15 12 15 26 15 36 15 46 15 53 16 00 16 12 16 23 16 32 16 42 16 53 17 05 17 12 17 20

2 15 36 15 54 16 09 16 21 16 32 16 41 16 56 17 10 17 23 17 36 17 50 18 06 18 15 18 26

3 16 07 16 30 16 48 17 03 17 16 17 27 17 46 18 02 18 18 18 33 18 50 19 09 19 20 19 33

4 16 49 17 16 17 36 17 53 18 07 18 19 18 40 18 58 19 15 19 32 19 50 20 11 20 23 20 37

5 17 44 18 12 18 33 18 50 19 05 19 17 19 39 19 57 20 14 20 32 20 50 21 11 21 24 21 38

6 18 53 19 19 19 39 19 55 20 08 20 20 20 40 20 58 21 14 21 30 21 48 22 07 22 19 22 32

7 20 12 20 33 20 50 21 04 21 16 21 26 21 43 21 58 22 12 22 26 22 41 22 58 23 08 23 19

8 21 35 21 52 22 04 22 15 22 24 22 32 22 45 22 57 23 08 23 19 23 30 23 43 23 51 23 59

9 23 00 23 11 23 19 23 26 23 32 23 37 23 46 23 54 .. .. .. .. .. .. .. .. .. .. .. ..

10 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 01 0 08 0 16 0 24 0 29 0 35

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 45

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

May 17 17 41 17 44 17 47 17 50 17 54 17 58 18 02 18 07 18 12 18 18 18 25 18 32 18 41 18 52

18 18 49 18 54 18 58 19 03 19 08 19 14 19 20 19 27 19 35 19 44 19 54 20 06 20 20 20 37

19 19 56 20 01 20 07 20 13 20 20 20 27 20 35 20 44 20 54 21 06 21 19 21 35 21 55 22 21

20 20 58 21 05 21 11 21 18 21 26 21 34 21 44 21 54 22 06 22 20 22 37 22 56 23 22 23 57

21 21 56 22 02 22 09 22 17 22 25 22 34 22 44 22 55 23 08 23 23 23 41 .. .. .. .. .. ..

22 22 47 22 53 23 00 23 08 23 16 23 24 23 34 23 45 23 58 .. .. .. .. 0 03 0 31 1 13

23 23 32 23 37 23 44 23 50 23 58 .. .. .. .. .. .. .. .. 0 12 0 29 0 50 1 17 1 56

24 .. .. .. .. .. .. .. .. .. .. 0 06 0 15 0 25 0 36 0 49 1 04 1 22 1 44 2 14

25 0 10 0 15 0 21 0 26 0 33 0 40 0 47 0 56 1 05 1 16 1 28 1 42 2 00 2 21

26 0 44 0 48 0 52 0 57 1 02 1 07 1 14 1 20 1 28 1 36 1 45 1 56 2 09 2 24

27 1 14 1 17 1 20 1 23 1 27 1 31 1 36 1 40 1 46 1 52 1 59 2 06 2 15 2 25

28 1 41 1 43 1 45 1 47 1 50 1 52 1 55 1 58 2 01 2 05 2 09 2 14 2 19 2 26

29 2 08 2 08 2 09 2 10 2 11 2 12 2 13 2 14 2 16 2 17 2 19 2 21 2 23 2 25

30 2 34 2 33 2 33 2 33 2 32 2 32 2 31 2 30 2 30 2 29 2 28 2 27 2 26 2 25

31 3 01 3 00 2 58 2 56 2 54 2 52 2 50 2 47 2 44 2 41 2 38 2 34 2 30 2 25

June 1 3 31 3 28 3 25 3 22 3 18 3 15 3 11 3 06 3 01 2 56 2 50 2 43 2 35 2 25

2 4 04 4 00 3 56 3 51 3 46 3 41 3 35 3 29 3 22 3 13 3 04 2 54 2 42 2 27

3 4 43 4 38 4 32 4 27 4 20 4 13 4 06 3 57 3 48 3 37 3 25 3 10 2 53 2 32

4 5 29 5 23 5 16 5 09 5 02 4 54 4 45 4 35 4 23 4 10 3 55 3 36 3 13 2 43

5 6 22 6 16 6 09 6 02 5 54 5 45 5 35 5 24 5 11 4 56 4 39 4 18 3 50 3 12

6 7 24 7 17 7 11 7 03 6 55 6 47 6 37 6 26 6 13 5 59 5 42 5 21 4 54 4 16

7 8 31 8 25 8 19 8 13 8 06 7 58 7 49 7 39 7 29 7 16 7 01 6 44 6 22 5 53

8 9 41 9 37 9 32 9 27 9 21 9 15 9 08 9 00 8 51 8 42 8 31 8 18 8 02 7 43

9 10 52 10 49 10 46 10 42 10 38 10 33 10 29 10 23 10 17 10 11 10 03 9 54 9 44 9 32

10 12 03 12 01 11 59 11 57 11 54 11 52 11 49 11 46 11 43 11 39 11 35 11 30 11 25 11 19

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

May 17 4 07 4 05 4 02 4 00 3 57 3 55 3 51 3 48 3 45 3 40 3 36 3 31 3 25 3 18

18 4 40 4 37 4 33 4 29 4 25 4 21 4 16 4 10 4 04 3 57 3 50 3 41 3 31 3 19

19 5 17 5 13 5 08 5 02 4 57 4 50 4 44 4 36 4 28 4 18 4 07 3 55 3 40 3 22

20 5 58 5 53 5 47 5 40 5 33 5 26 5 17 5 08 4 57 4 45 4 31 4 14 3 54 3 28

21 6 44 6 38 6 31 6 24 6 16 6 07 5 58 5 47 5 35 5 21 5 04 4 44 4 18 3 43

22 7 34 7 28 7 21 7 13 7 05 6 56 6 46 6 35 6 22 6 07 5 49 5 27 4 59 4 17

23 8 28 8 22 8 15 8 08 8 00 7 51 7 42 7 31 7 18 7 04 6 47 6 26 6 00 5 22

24 9 25 9 19 9 13 9 06 8 59 8 51 8 43 8 33 8 22 8 10 7 55 7 37 7 15 6 46

25 10 22 10 17 10 12 10 07 10 01 9 54 9 47 9 39 9 30 9 20 9 08 8 54 8 37 8 17

26 11 20 11 16 11 12 11 08 11 03 10 58 10 53 10 47 10 40 10 32 10 23 10 13 10 01 9 47

27 12 18 12 15 12 12 12 09 12 06 12 03 11 59 11 55 11 50 11 45 11 39 11 32 11 24 11 15

28 13 16 13 14 13 13 13 11 13 10 13 08 13 06 13 03 13 01 12 58 12 55 12 51 12 47 12 42

29 14 14 14 14 14 14 14 14 14 14 14 13 14 13 14 13 14 12 14 12 14 11 14 11 14 10 14 10

30 15 14 15 15 15 16 15 18 15 19 15 20 15 22 15 24 15 25 15 27 15 30 15 32 15 35 15 39

31 16 16 16 18 16 21 16 24 16 26 16 29 16 33 16 37 16 41 16 45 16 50 16 56 17 03 17 11

June 1 17 20 17 24 17 27 17 32 17 36 17 41 17 46 17 52 17 58 18 06 18 14 18 24 18 35 18 48

2 18 26 18 31 18 36 18 41 18 47 18 54 19 01 19 09 19 18 19 28 19 40 19 53 20 10 20 30

3 19 33 19 38 19 44 19 51 19 58 20 06 20 15 20 25 20 36 20 49 21 04 21 22 21 44 22 14

4 20 37 20 44 20 51 20 58 21 06 21 15 21 25 21 36 21 48 22 03 22 20 22 41 23 08 23 47

5 21 38 21 44 21 51 21 59 22 07 22 16 22 25 22 37 22 49 23 04 23 21 23 42 .. .. .. ..

6 22 32 22 38 22 44 22 51 22 58 23 06 23 15 23 25 23 37 23 50 .. .. .. .. 0 09 0 47

7 23 19 23 24 23 29 23 35 23 41 23 48 23 55 .. .. .. .. .. .. 0 05 0 23 0 45 1 14

8 23 59 .. .. .. .. .. .. .. .. .. .. .. .. 0 03 0 12 0 22 0 34 0 48 1 04 1 25

9 .. .. 0 03 0 07 0 11 0 16 0 21 0 26 0 32 0 39 0 46 0 55 1 05 1 16 1 29

10 0 35 0 37 0 40 0 43 0 45 0 49 0 52 0 56 1 00 1 05 1 10 1 16 1 23 1 31

.. .. indicates phenomenon will occur the next day.
46 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

June 8 12 25 12 07 11 53 11 41 11 31 11 23 11 08 10 54 10 42 10 29 10 16 10 00 9 52 9 41

9 12 50 12 37 12 27 12 19 12 12 12 06 11 55 11 45 11 36 11 27 11 17 11 06 11 00 10 52

10 13 10 13 03 12 58 12 53 12 49 12 45 12 39 12 33 12 28 12 23 12 17 12 11 12 07 12 03

11 13 28 13 27 13 25 13 24 13 23 13 22 13 21 13 19 13 18 13 17 13 15 13 14 13 13 13 12

12 13 46 13 49 13 52 13 55 13 57 13 58 14 02 14 04 14 07 14 10 14 13 14 16 14 18 14 20

13 14 04 14 13 14 20 14 26 14 31 14 35 14 43 14 50 14 56 15 03 15 10 15 18 15 23 15 28

14 14 25 14 39 14 50 14 59 15 07 15 14 15 26 15 36 15 46 15 56 16 07 16 20 16 27 16 35

15 14 49 15 08 15 23 15 35 15 45 15 55 16 10 16 24 16 38 16 51 17 05 17 21 17 31 17 42

16 15 20 15 43 16 01 16 16 16 28 16 39 16 58 17 14 17 30 17 45 18 02 18 21 18 32 18 45

17 15 58 16 25 16 45 17 01 17 15 17 27 17 48 18 06 18 23 18 39 18 58 19 19 19 31 19 45

18 16 46 17 14 17 35 17 51 18 06 18 18 18 39 18 58 19 15 19 32 19 51 20 12 20 25 20 39

19 17 43 18 09 18 30 18 46 19 00 19 12 19 32 19 50 20 06 20 23 20 41 21 01 21 13 21 26

20 18 47 19 10 19 28 19 43 19 55 20 06 20 24 20 40 20 55 21 10 21 26 21 45 21 55 22 08

21 19 54 20 13 20 28 20 41 20 51 21 00 21 16 21 30 21 42 21 55 22 09 22 24 22 33 22 43

22 21 03 21 18 21 29 21 39 21 47 21 54 22 06 22 17 22 27 22 37 22 48 23 00 23 07 23 15

23 22 12 22 22 22 30 22 36 22 42 22 47 22 56 23 03 23 10 23 17 23 24 23 33 23 38 23 43

24 23 21 23 27 23 31 23 34 23 37 23 40 23 44 23 48 23 52 23 56 .. .. .. .. .. .. .. ..

25 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 00 0 04 0 07 0 10

26 0 31 0 32 0 32 0 32 0 32 0 33 0 33 0 33 0 34 0 34 0 34 0 35 0 35 0 35

27 1 42 1 38 1 34 1 31 1 29 1 27 1 23 1 19 1 16 1 13 1 10 1 06 1 04 1 02

28 2 56 2 46 2 39 2 32 2 27 2 22 2 14 2 07 2 01 1 54 1 47 1 39 1 35 1 30

29 4 12 3 57 3 46 3 36 3 28 3 21 3 08 2 58 2 48 2 38 2 27 2 15 2 08 2 01

30 5 30 5 10 4 54 4 42 4 31 4 21 4 05 3 51 3 38 3 25 3 11 2 56 2 47 2 36

July 1 6 48 6 23 6 04 5 49 5 36 5 24 5 05 4 48 4 33 4 17 4 01 3 42 3 31 3 19

2 8 00 7 32 7 11 6 55 6 40 6 28 6 07 5 48 5 31 5 14 4 56 4 35 4 23 4 09

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

June 8 21 35 21 52 22 04 22 15 22 24 22 32 22 45 22 57 23 08 23 19 23 30 23 43 23 51 23 59

9 23 00 23 11 23 19 23 26 23 32 23 37 23 46 23 54 .. .. .. .. .. .. .. .. .. .. .. ..

10 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 0 01 0 08 0 16 0 24 0 29 0 35

11 0 24 0 29 0 33 0 36 0 39 0 41 0 45 0 49 0 52 0 55 0 59 1 02 1 05 1 07

12 1 47 1 46 1 45 1 45 1 44 1 44 1 43 1 42 1 41 1 41 1 40 1 39 1 38 1 38

13 3 09 3 02 2 57 2 53 2 49 2 46 2 40 2 35 2 31 2 26 2 21 2 15 2 12 2 08

14 4 30 4 18 4 08 4 00 3 54 3 48 3 37 3 28 3 20 3 12 3 03 2 53 2 47 2 40

15 5 49 5 32 5 18 5 07 4 58 4 49 4 35 4 22 4 11 3 59 3 47 3 32 3 24 3 15

16 7 06 6 44 6 26 6 12 6 00 5 50 5 32 5 17 5 02 4 48 4 33 4 15 4 05 3 53

17 8 16 7 50 7 30 7 14 7 01 6 49 6 29 6 11 5 55 5 39 5 21 5 01 4 50 4 36

18 9 16 8 49 8 28 8 11 7 57 7 45 7 24 7 05 6 48 6 31 6 12 5 51 5 39 5 24

19 10 06 9 39 9 19 9 02 8 48 8 36 8 15 7 57 7 40 7 23 7 05 6 44 6 31 6 17

20 10 44 10 20 10 02 9 47 9 34 9 22 9 03 8 46 8 30 8 14 7 57 7 38 7 26 7 13

21 11 14 10 54 10 38 10 25 10 14 10 04 9 47 9 32 9 18 9 04 8 49 8 32 8 22 8 10

22 11 38 11 22 11 09 10 59 10 49 10 42 10 28 10 16 10 04 9 53 9 40 9 26 9 18 9 09

23 11 57 11 45 11 36 11 28 11 22 11 16 11 05 10 56 10 48 10 39 10 30 10 20 10 14 10 07

24 12 13 12 06 12 00 11 56 11 51 11 48 11 41 11 36 11 30 11 25 11 19 11 12 11 09 11 04

25 12 28 12 25 12 23 12 21 12 20 12 19 12 16 12 14 12 12 12 10 12 08 12 05 12 04 12 02

26 12 43 12 44 12 46 12 47 12 48 12 49 12 51 12 53 12 54 12 55 12 57 12 58 12 59 13 00

27 12 58 13 04 13 10 13 14 13 18 13 21 13 27 13 32 13 37 13 42 13 47 13 53 13 57 14 00

28 13 15 13 27 13 36 13 43 13 50 13 56 14 06 14 14 14 23 14 31 14 40 14 50 14 56 15 03

29 13 37 13 53 14 06 14 16 14 25 14 34 14 48 15 00 15 11 15 23 15 35 15 49 15 58 16 07

30 14 04 14 25 14 41 14 55 15 07 15 17 15 34 15 50 16 04 16 18 16 34 16 51 17 02 17 13

July 1 14 40 15 05 15 25 15 41 15 54 16 06 16 26 16 44 17 00 17 17 17 34 17 55 18 06 18 20

2 15 30 15 57 16 19 16 36 16 50 17 03 17 24 17 43 18 00 18 17 18 36 18 57 19 10 19 24

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 47

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

June 8 9 41 9 37 9 32 9 27 9 21 9 15 9 08 9 00 8 51 8 42 8 31 8 18 8 02 7 43

9 10 52 10 49 10 46 10 42 10 38 10 33 10 29 10 23 10 17 10 11 10 03 9 54 9 44 9 32

10 12 03 12 01 11 59 11 57 11 54 11 52 11 49 11 46 11 43 11 39 11 35 11 30 11 25 11 19

11 13 12 13 12 13 11 13 11 13 10 13 10 13 09 13 08 13 07 13 07 13 06 13 05 13 03 13 02

12 14 20 14 21 14 22 14 24 14 25 14 26 14 28 14 29 14 31 14 33 14 35 14 38 14 41 14 44

13 15 28 15 31 15 33 15 36 15 39 15 42 15 46 15 49 15 54 15 59 16 04 16 10 16 17 16 26

14 16 35 16 39 16 43 16 47 16 52 16 57 17 03 17 09 17 16 17 23 17 32 17 42 17 54 18 08

15 17 42 17 46 17 52 17 57 18 03 18 10 18 18 18 26 18 35 18 46 18 58 19 12 19 29 19 51

16 18 45 18 51 18 57 19 04 19 11 19 19 19 28 19 38 19 50 20 03 20 18 20 37 21 00 21 31

17 19 45 19 51 19 58 20 05 20 14 20 22 20 32 20 43 20 56 21 11 21 28 21 50 22 18 22 58

18 20 39 20 45 20 52 21 00 21 08 21 17 21 27 21 38 21 51 22 06 22 24 22 46 23 14 23 56

19 21 26 21 33 21 39 21 46 21 54 22 02 22 12 22 22 22 34 22 48 23 04 23 24 23 49 .. ..

20 22 08 22 13 22 19 22 25 22 32 22 40 22 48 22 57 23 07 23 19 23 33 23 49 .. .. 0 22

21 22 43 22 48 22 53 22 58 23 04 23 10 23 17 23 24 23 32 23 42 23 52 .. .. 0 08 0 33

22 23 15 23 18 23 22 23 26 23 30 23 35 23 40 23 46 23 52 23 59 .. .. 0 05 0 19 0 37

23 23 43 23 46 23 48 23 51 23 54 23 57 .. .. .. .. .. .. .. .. 0 07 0 16 0 27 0 39

24 .. .. .. .. .. .. .. .. .. .. .. .. 0 01 0 04 0 09 0 13 0 18 0 24 0 31 0 39

25 0 10 0 11 0 12 0 14 0 15 0 17 0 19 0 21 0 23 0 26 0 28 0 31 0 35 0 39

26 0 35 0 36 0 36 0 36 0 36 0 36 0 36 0 37 0 37 0 37 0 37 0 38 0 38 0 38

27 1 02 1 01 0 59 0 58 0 57 0 56 0 54 0 52 0 51 0 49 0 47 0 44 0 41 0 38

28 1 30 1 27 1 25 1 22 1 20 1 17 1 13 1 10 1 06 1 02 0 57 0 51 0 45 0 38

29 2 01 1 57 1 53 1 50 1 45 1 41 1 36 1 30 1 24 1 17 1 10 1 01 0 51 0 39

30 2 36 2 32 2 27 2 22 2 16 2 10 2 03 1 55 1 47 1 38 1 27 1 14 1 00 0 42

July 1 3 19 3 13 3 07 3 01 2 54 2 46 2 38 2 28 2 18 2 06 1 52 1 35 1 15 0 49

2 4 09 4 03 3 56 3 49 3 41 3 32 3 23 3 12 3 00 2 45 2 29 2 09 1 43 1 08

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

June 8 23 59 .. .. .. .. .. .. .. .. .. .. .. .. 0 03 0 12 0 22 0 34 0 48 1 04 1 25

9 .. .. 0 03 0 07 0 11 0 16 0 21 0 26 0 32 0 39 0 46 0 55 1 05 1 16 1 29

10 0 35 0 37 0 40 0 43 0 45 0 49 0 52 0 56 1 00 1 05 1 10 1 16 1 23 1 31

11 1 07 1 08 1 09 1 11 1 12 1 13 1 15 1 16 1 18 1 20 1 23 1 25 1 28 1 31

12 1 38 1 38 1 37 1 37 1 37 1 36 1 36 1 35 1 35 1 34 1 34 1 33 1 32 1 32

13 2 08 2 07 2 05 2 03 2 01 1 59 1 57 1 54 1 52 1 48 1 45 1 41 1 37 1 32

14 2 40 2 37 2 34 2 31 2 27 2 24 2 19 2 15 2 10 2 04 1 57 1 50 1 42 1 32

15 3 15 3 11 3 06 3 02 2 56 2 51 2 45 2 38 2 31 2 22 2 13 2 02 1 49 1 34

16 3 53 3 48 3 42 3 36 3 30 3 23 3 15 3 06 2 57 2 46 2 33 2 18 2 00 1 38

17 4 36 4 30 4 24 4 17 4 09 4 01 3 52 3 42 3 30 3 16 3 01 2 42 2 18 1 47

18 5 24 5 18 5 11 5 04 4 55 4 46 4 36 4 25 4 12 3 58 3 40 3 18 2 50 2 10

19 6 17 6 11 6 04 5 56 5 48 5 39 5 29 5 18 5 05 4 50 4 33 4 11 3 43 3 01

20 7 13 7 07 7 01 6 54 6 46 6 38 6 29 6 18 6 06 5 53 5 37 5 18 4 53 4 20

21 8 10 8 05 8 00 7 54 7 47 7 40 7 32 7 23 7 13 7 02 6 49 6 33 6 14 5 50

22 9 09 9 04 9 00 8 55 8 50 8 44 8 38 8 31 8 23 8 14 8 04 7 52 7 38 7 21

23 10 07 10 03 10 00 9 57 9 53 9 49 9 44 9 39 9 33 9 27 9 20 9 12 9 02 8 51

24 11 04 11 02 11 00 10 58 10 56 10 53 10 50 10 47 10 44 10 40 10 35 10 30 10 25 10 18

25 12 02 12 01 12 00 12 00 11 59 11 58 11 57 11 55 11 54 11 53 11 51 11 49 11 47 11 44

26 13 00 13 01 13 01 13 02 13 03 13 03 13 04 13 05 13 06 13 06 13 07 13 09 13 10 13 12

27 14 00 14 02 14 04 14 06 14 08 14 10 14 13 14 16 14 19 14 22 14 26 14 30 14 35 14 41

28 15 03 15 06 15 09 15 12 15 16 15 20 15 24 15 29 15 34 15 40 15 47 15 55 16 04 16 15

29 16 07 16 11 16 16 16 21 16 26 16 32 16 38 16 45 16 53 17 01 17 12 17 23 17 37 17 54

30 17 13 17 19 17 24 17 31 17 37 17 45 17 53 18 02 18 12 18 23 18 37 18 53 19 13 19 38

July 1 18 20 18 26 18 33 18 40 18 48 18 56 19 06 19 16 19 28 19 42 19 58 20 18 20 44 21 19

2 19 24 19 30 19 37 19 45 19 53 20 02 20 12 20 23 20 36 20 51 21 08 21 30 21 58 22 38

.. .. indicates phenomenon will occur the next day.
48 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 6 48 6 23 6 04 5 49 5 36 5 24 5 05 4 48 4 33 4 17 4 01 3 42 3 31 3 19

2 8 00 7 32 7 11 6 55 6 40 6 28 6 07 5 48 5 31 5 14 4 56 4 35 4 23 4 09

3 9 02 8 34 8 13 7 56 7 42 7 29 7 08 6 49 6 32 6 15 5 56 5 35 5 23 5 08

4 9 50 9 26 9 07 8 51 8 38 8 26 8 07 7 49 7 33 7 17 7 00 6 40 6 29 6 15

5 10 27 10 07 9 52 9 39 9 28 9 18 9 01 8 47 8 33 8 19 8 05 7 48 7 38 7 27

6 10 55 10 41 10 29 10 19 10 11 10 04 9 51 9 40 9 30 9 20 9 09 8 56 8 48 8 40

7 11 17 11 08 11 01 10 55 10 50 10 46 10 38 10 31 10 24 10 18 10 10 10 02 9 58 9 53

8 11 36 11 33 11 30 11 28 11 26 11 24 11 21 11 18 11 15 11 13 11 10 11 07 11 05 11 03

9 11 54 11 56 11 57 11 58 11 59 12 00 12 02 12 04 12 05 12 07 12 08 12 10 12 11 12 13

10 12 12 12 19 12 24 12 29 12 33 12 37 12 43 12 49 12 54 13 00 13 05 13 12 13 16 13 20

11 12 31 12 43 12 53 13 01 13 08 13 14 13 25 13 34 13 43 13 52 14 02 14 13 14 20 14 27

12 12 54 13 11 13 24 13 35 13 45 13 54 14 08 14 21 14 33 14 46 14 59 15 14 15 23 15 33

13 13 21 13 43 14 00 14 14 14 26 14 36 14 54 15 10 15 24 15 39 15 55 16 13 16 24 16 36

14 13 56 14 21 14 41 14 57 15 10 15 22 15 42 16 00 16 16 16 33 16 50 17 11 17 23 17 37

15 14 40 15 07 15 28 15 45 15 59 16 11 16 33 16 51 17 08 17 25 17 44 18 05 18 18 18 32

16 15 33 16 00 16 21 16 37 16 51 17 04 17 24 17 43 18 00 18 16 18 35 18 55 19 08 19 22

17 16 34 16 59 17 18 17 33 17 46 17 58 18 17 18 34 18 49 19 05 19 22 19 41 19 52 20 05

18 17 41 18 01 18 18 18 31 18 42 18 52 19 09 19 23 19 37 19 51 20 05 20 22 20 32 20 43

19 18 49 19 05 19 18 19 29 19 38 19 46 20 00 20 12 20 23 20 34 20 46 20 59 21 07 21 16

20 19 58 20 10 20 19 20 27 20 34 20 39 20 49 20 58 21 06 21 14 21 23 21 33 21 39 21 45

21 21 07 21 14 21 20 21 24 21 28 21 32 21 38 21 43 21 48 21 53 21 59 22 05 22 08 22 12

22 22 16 22 19 22 20 22 22 22 23 22 24 22 26 22 28 22 30 22 31 22 33 22 35 22 36 22 38

23 23 26 23 23 23 21 23 20 23 18 23 17 23 15 23 13 23 11 23 10 23 08 23 06 23 05 23 03

24 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 59 23 54 23 49 23 43 23 37 23 34 23 30

25 0 37 0 30 0 24 0 19 0 15 0 11 0 05 .. .. .. .. .. .. .. .. .. .. .. .. 23 59

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 14 40 15 05 15 25 15 41 15 54 16 06 16 26 16 44 17 00 17 17 17 34 17 55 18 06 18 20

2 15 30 15 57 16 19 16 36 16 50 17 03 17 24 17 43 18 00 18 17 18 36 18 57 19 10 19 24

3 16 34 17 01 17 22 17 39 17 53 18 05 18 26 18 44 19 01 19 18 19 36 19 57 20 09 20 23

4 17 52 18 15 18 34 18 49 19 01 19 12 19 31 19 47 20 02 20 17 20 33 20 51 21 02 21 14

5 19 17 19 35 19 50 20 01 20 12 20 20 20 35 20 48 21 01 21 13 21 25 21 40 21 48 21 58

6 20 44 20 56 21 06 21 15 21 22 21 28 21 38 21 48 21 56 22 05 22 14 22 24 22 30 22 36

7 22 10 22 17 22 22 22 26 22 30 22 34 22 39 22 44 22 49 22 53 22 58 23 04 23 07 23 10

8 23 34 23 35 23 36 23 37 23 37 23 37 23 38 23 39 23 39 23 40 23 40 23 41 23 41 23 42

9 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

10 0 57 0 52 0 48 0 45 0 42 0 40 0 36 0 32 0 29 0 25 0 21 0 17 0 15 0 12

11 2 18 2 07 1 59 1 52 1 47 1 41 1 33 1 25 1 18 1 10 1 03 0 54 0 49 0 43

12 3 37 3 21 3 09 2 59 2 50 2 42 2 29 2 18 2 07 1 56 1 45 1 32 1 25 1 16

13 4 53 4 32 4 16 4 03 3 52 3 42 3 26 3 11 2 58 2 44 2 30 2 13 2 04 1 53

14 6 04 5 40 5 21 5 05 4 52 4 41 4 22 4 05 3 49 3 33 3 17 2 57 2 46 2 33

15 7 08 6 41 6 20 6 04 5 50 5 37 5 16 4 58 4 41 4 24 4 06 3 45 3 33 3 19

16 8 01 7 34 7 13 6 56 6 42 6 30 6 09 5 50 5 33 5 16 4 57 4 36 4 24 4 09

17 8 43 8 18 7 59 7 43 7 30 7 18 6 58 6 40 6 24 6 07 5 50 5 29 5 17 5 04

18 9 16 8 54 8 37 8 23 8 12 8 01 7 43 7 27 7 13 6 58 6 42 6 24 6 13 6 01

19 9 42 9 24 9 10 8 59 8 49 8 40 8 25 8 12 7 59 7 47 7 34 7 18 7 09 6 59

20 10 02 9 49 9 39 9 30 9 22 9 15 9 04 8 54 8 44 8 34 8 24 8 12 8 05 7 57

21 10 19 10 11 10 04 9 58 9 53 9 48 9 40 9 33 9 27 9 20 9 13 9 05 9 00 8 55

22 10 35 10 30 10 27 10 24 10 21 10 19 10 15 10 12 10 08 10 05 10 01 9 57 9 55 9 52

23 10 49 10 49 10 49 10 49 10 49 10 49 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50

24 11 04 11 08 11 12 11 15 11 18 11 20 11 24 11 28 11 32 11 35 11 39 11 43 11 45 11 48

25 11 20 11 29 11 36 11 43 11 48 11 53 12 01 12 08 12 15 12 22 12 29 12 38 12 42 12 48

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 49

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 3 19 3 13 3 07 3 01 2 54 2 46 2 38 2 28 2 18 2 06 1 52 1 35 1 15 0 49

2 4 09 4 03 3 56 3 49 3 41 3 32 3 23 3 12 3 00 2 45 2 29 2 09 1 43 1 08

3 5 08 5 02 4 55 4 48 4 39 4 30 4 21 4 09 3 57 3 42 3 24 3 03 2 35 1 54

4 6 15 6 09 6 03 5 56 5 48 5 40 5 31 5 20 5 09 4 55 4 39 4 20 3 56 3 22

5 7 27 7 22 7 16 7 11 7 04 6 57 6 50 6 41 6 32 6 21 6 08 5 53 5 35 5 13

6 8 40 8 36 8 32 8 28 8 23 8 18 8 13 8 06 8 00 7 52 7 43 7 33 7 21 7 06

7 9 53 9 50 9 48 9 45 9 42 9 39 9 36 9 32 9 28 9 23 9 18 9 12 9 05 8 57

8 11 03 11 03 11 02 11 01 10 59 10 58 10 57 10 56 10 54 10 52 10 50 10 48 10 46 10 43

9 12 13 12 13 12 14 12 14 12 15 12 16 12 17 12 17 12 18 12 20 12 21 12 22 12 24 12 26

10 13 20 13 22 13 24 13 27 13 29 13 32 13 35 13 38 13 41 13 45 13 50 13 55 14 00 14 07

11 14 27 14 30 14 34 14 38 14 42 14 46 14 51 14 56 15 02 15 09 15 17 15 26 15 36 15 48

12 15 33 15 37 15 42 15 47 15 53 15 59 16 06 16 13 16 22 16 31 16 42 16 55 17 11 17 30

13 16 36 16 42 16 48 16 54 17 01 17 09 17 17 17 26 17 37 17 49 18 04 18 21 18 42 19 09

14 17 37 17 43 17 49 17 57 18 04 18 13 18 23 18 33 18 46 19 00 19 17 19 37 20 04 20 41

15 18 32 18 38 18 45 18 53 19 01 19 10 19 20 19 32 19 45 20 00 20 17 20 39 21 08 21 51

16 19 22 19 28 19 35 19 42 19 50 19 59 20 08 20 19 20 32 20 46 21 03 21 24 21 50 22 27

17 20 05 20 11 20 17 20 24 20 31 20 39 20 47 20 57 21 08 21 21 21 35 21 53 22 14 22 42

18 20 43 20 48 20 53 20 59 21 05 21 11 21 19 21 27 21 36 21 46 21 58 22 12 22 28 22 48

19 21 16 21 20 21 24 21 28 21 33 21 38 21 44 21 50 21 58 22 05 22 14 22 25 22 37 22 51

20 21 45 21 48 21 51 21 54 21 58 22 01 22 06 22 10 22 15 22 21 22 27 22 34 22 42 22 52

21 22 12 22 14 22 16 22 18 22 20 22 22 22 24 22 27 22 30 22 33 22 37 22 41 22 46 22 51

22 22 38 22 38 22 39 22 40 22 40 22 41 22 42 22 43 22 44 22 45 22 46 22 47 22 49 22 51

23 23 03 23 03 23 02 23 01 23 01 23 00 22 59 22 58 22 57 22 56 22 55 22 54 22 52 22 50

24 23 30 23 28 23 26 23 24 23 22 23 20 23 17 23 15 23 12 23 08 23 04 23 00 22 56 22 50

25 23 59 23 56 23 53 23 49 23 46 23 42 23 38 23 33 23 28 23 22 23 16 23 08 23 00 22 50

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 1 18 20 18 26 18 33 18 40 18 48 18 56 19 06 19 16 19 28 19 42 19 58 20 18 20 44 21 19

2 19 24 19 30 19 37 19 45 19 53 20 02 20 12 20 23 20 36 20 51 21 08 21 30 21 58 22 38

3 20 23 20 29 20 35 20 42 20 50 20 59 21 08 21 19 21 31 21 45 22 01 22 21 22 45 23 19

4 21 14 21 19 21 25 21 31 21 38 21 45 21 53 22 02 22 12 22 24 22 37 22 52 23 11 23 35

5 21 58 22 02 22 07 22 12 22 17 22 22 22 29 22 35 22 43 22 52 23 01 23 12 23 25 23 41

6 22 36 22 39 22 42 22 45 22 49 22 53 22 57 23 02 23 07 23 12 23 19 23 26 23 34 23 44

7 23 10 23 12 23 13 23 15 23 17 23 19 23 21 23 23 23 26 23 29 23 32 23 36 23 40 23 45

8 23 42 23 42 23 42 23 42 23 42 23 42 23 43 23 43 23 43 23 43 23 44 23 44 23 44 23 45

9 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 57 23 55 23 52 23 49 23 45

10 0 12 0 11 0 10 0 08 0 07 0 05 0 04 0 02 0 00 .. .. .. .. .. .. 23 53 23 45

11 0 43 0 41 0 38 0 35 0 32 0 29 0 25 0 21 0 17 0 12 0 07 0 00 .. .. 23 46

12 1 16 1 13 1 09 1 04 1 00 0 55 0 49 0 43 0 36 0 29 0 20 0 11 0 00 23 49

13 1 53 1 48 1 43 1 37 1 31 1 24 1 17 1 09 1 00 0 50 0 38 0 25 0 09 23 56

14 2 33 2 28 2 21 2 15 2 07 2 00 1 51 1 41 1 30 1 17 1 03 0 45 0 24 .. ..

15 3 19 3 13 3 06 2 58 2 50 2 42 2 32 2 21 2 08 1 54 1 37 1 16 0 50 0 12

16 4 09 4 03 3 56 3 48 3 40 3 31 3 21 3 10 2 57 2 42 2 24 2 02 1 33 0 51

17 5 04 4 58 4 51 4 44 4 36 4 27 4 18 4 07 3 55 3 41 3 24 3 03 2 37 2 00

18 6 01 5 55 5 49 5 43 5 36 5 28 5 20 5 11 5 00 4 48 4 33 4 16 3 55 3 28

19 6 59 6 54 6 49 6 44 6 38 6 32 6 25 6 17 6 09 5 59 5 48 5 35 5 19 4 59

20 7 57 7 53 7 50 7 46 7 41 7 36 7 31 7 25 7 19 7 12 7 04 6 54 6 43 6 30

21 8 55 8 52 8 50 8 47 8 44 8 41 8 37 8 34 8 29 8 25 8 19 8 13 8 06 7 58

22 9 52 9 51 9 50 9 48 9 47 9 45 9 43 9 41 9 39 9 37 9 34 9 31 9 28 9 24

23 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10 49

24 11 48 11 49 11 51 11 52 11 53 11 55 11 57 11 59 12 01 12 03 12 06 12 09 12 12 12 16

25 12 48 12 50 12 53 12 56 12 59 13 02 13 06 13 10 13 14 13 19 13 24 13 31 13 38 13 46

.. .. indicates phenomenon will occur the next day.
50 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 24 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 59 23 54 23 49 23 43 23 37 23 34 23 30

25 0 37 0 30 0 24 0 19 0 15 0 11 0 05 .. .. .. .. .. .. .. .. .. .. .. .. 23 59

26 1 50 1 38 1 28 1 20 1 13 1 07 0 56 0 47 0 39 0 30 0 21 0 11 0 05 .. ..

27 3 06 2 48 2 35 2 23 2 14 2 05 1 51 1 38 1 26 1 15 1 02 0 48 0 40 0 31

28 4 23 4 00 3 43 3 28 3 16 3 06 2 48 2 33 2 18 2 04 1 48 1 31 1 21 1 09

29 5 37 5 11 4 51 4 34 4 20 4 09 3 48 3 30 3 14 2 58 2 40 2 20 2 08 1 55

30 6 44 6 17 5 55 5 38 5 23 5 11 4 49 4 31 4 13 3 56 3 38 3 16 3 04 2 50

31 7 40 7 14 6 53 6 37 6 23 6 11 5 50 5 32 5 15 4 58 4 40 4 19 4 07 3 53

Aug. 1 8 23 8 00 7 43 7 29 7 17 7 06 6 48 6 32 6 17 6 02 5 46 5 27 5 16 5 04

2 8 55 8 38 8 25 8 14 8 04 7 56 7 41 7 29 7 17 7 05 6 52 6 37 6 29 6 19

3 9 20 9 09 9 00 8 53 8 46 8 41 8 31 8 22 8 14 8 06 7 57 7 47 7 41 7 34

4 9 41 9 36 9 31 9 28 9 24 9 21 9 17 9 12 9 08 9 04 9 00 8 55 8 52 8 49

5 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 00 10 01 10 01

6 10 18 10 23 10 27 10 31 10 34 10 37 10 42 10 46 10 51 10 55 10 59 11 04 11 07 11 11

7 10 37 10 47 10 56 11 03 11 09 11 15 11 24 11 33 11 40 11 48 11 57 12 07 12 13 12 19

8 10 59 11 14 11 27 11 37 11 46 11 54 12 07 12 19 12 31 12 42 12 54 13 08 13 16 13 26

9 11 25 11 45 12 01 12 14 12 25 12 35 12 52 13 07 13 21 13 35 13 51 14 08 14 18 14 30

10 11 57 12 21 12 40 12 55 13 08 13 20 13 39 13 57 14 13 14 29 14 46 15 06 15 18 15 31

11 12 37 13 04 13 25 13 41 13 56 14 08 14 29 14 47 15 04 15 21 15 40 16 01 16 13 16 28

12 13 27 13 54 14 15 14 32 14 46 14 59 15 20 15 38 15 55 16 13 16 31 16 52 17 04 17 19

13 14 26 14 51 15 11 15 27 15 40 15 52 16 12 16 29 16 45 17 02 17 19 17 39 17 50 18 04

14 15 30 15 52 16 09 16 24 16 35 16 46 17 04 17 19 17 34 17 48 18 03 18 21 18 31 18 43

15 16 38 16 56 17 10 17 21 17 31 17 40 17 55 18 08 18 20 18 32 18 44 18 59 19 07 19 17

16 17 47 18 00 18 11 18 20 18 27 18 34 18 45 18 55 19 04 19 13 19 23 19 34 19 40 19 47

17 18 56 19 05 19 12 19 17 19 22 19 26 19 34 19 40 19 46 19 52 19 59 20 06 20 10 20 15

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 24 11 04 11 08 11 12 11 15 11 18 11 20 11 24 11 28 11 32 11 35 11 39 11 43 11 45 11 48

25 11 20 11 29 11 36 11 43 11 48 11 53 12 01 12 08 12 15 12 22 12 29 12 38 12 42 12 48

26 11 39 11 52 12 04 12 13 12 21 12 28 12 40 12 51 13 01 13 11 13 22 13 35 13 42 13 50

27 12 02 12 21 12 36 12 48 12 58 13 08 13 24 13 38 13 51 14 04 14 18 14 34 14 43 14 54

28 12 33 12 56 13 15 13 29 13 42 13 53 14 12 14 29 14 44 15 00 15 16 15 36 15 47 16 00

29 13 15 13 42 14 03 14 19 14 33 14 46 15 07 15 25 15 42 15 59 16 17 16 38 16 50 17 05

30 14 12 14 40 15 01 15 18 15 33 15 45 16 07 16 25 16 43 17 00 17 18 17 39 17 52 18 06

31 15 24 15 50 16 10 16 26 16 39 16 51 17 11 17 28 17 44 18 01 18 18 18 37 18 49 19 02

Aug. 1 16 48 17 09 17 26 17 39 17 50 18 00 18 17 18 32 18 46 18 59 19 13 19 30 19 39 19 50

2 18 18 18 33 18 45 18 55 19 03 19 10 19 23 19 34 19 44 19 54 20 05 20 17 20 24 20 32

3 19 48 19 57 20 04 20 10 20 15 20 19 20 27 20 34 20 40 20 46 20 53 21 00 21 04 21 09

4 21 16 21 19 21 21 21 23 21 25 21 26 21 29 21 31 21 33 21 35 21 37 21 39 21 41 21 42

5 22 41 22 39 22 36 22 34 22 33 22 31 22 29 22 26 22 24 22 22 22 20 22 17 22 16 22 14

6 .. .. 23 56 23 49 23 44 23 39 23 34 23 27 23 20 23 14 23 08 23 02 22 54 22 50 22 45

7 0 05 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 55 23 44 23 33 23 26 23 18

8 1 25 1 11 1 00 0 51 0 43 0 36 0 24 0 14 0 04 .. .. .. .. .. .. .. .. 23 54

9 2 43 2 24 2 09 1 57 1 46 1 37 1 21 1 08 0 55 0 42 0 28 0 13 0 04 .. ..

10 3 56 3 33 3 14 3 00 2 47 2 36 2 17 2 01 1 46 1 31 1 14 0 56 0 45 0 33

11 5 02 4 35 4 15 3 59 3 45 3 33 3 12 2 54 2 37 2 21 2 03 1 42 1 30 1 16

12 5 58 5 30 5 10 4 53 4 38 4 26 4 05 3 46 3 29 3 12 2 53 2 32 2 19 2 05

13 6 43 6 17 5 57 5 41 5 27 5 15 4 54 4 36 4 20 4 03 3 45 3 24 3 12 2 58

14 7 18 6 55 6 37 6 23 6 10 5 59 5 41 5 24 5 09 4 53 4 37 4 18 4 07 3 54

15 7 46 7 27 7 12 6 59 6 49 6 40 6 23 6 09 5 56 5 43 5 28 5 12 5 02 4 51

16 8 08 7 53 7 41 7 32 7 23 7 16 7 03 6 52 6 41 6 31 6 19 6 06 5 58 5 50

17 8 26 8 16 8 07 8 01 7 55 7 49 7 40 7 32 7 24 7 17 7 09 6 59 6 54 6 47

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 51

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 24 23 30 23 28 23 26 23 24 23 22 23 20 23 17 23 15 23 12 23 08 23 04 23 00 22 56 22 50

25 23 59 23 56 23 53 23 49 23 46 23 42 23 38 23 33 23 28 23 22 23 16 23 08 23 00 22 50

26 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 55 23 48 23 39 23 30 23 19 23 07 22 52

27 0 31 0 27 0 23 0 18 0 13 0 08 0 02 .. .. .. .. .. .. 23 50 23 36 23 18 22 57

28 1 09 1 04 0 59 0 53 0 46 0 39 0 32 0 23 0 14 0 03 .. .. .. .. 23 39 23 08

29 1 55 1 49 1 43 1 36 1 28 1 20 1 11 1 01 0 49 0 36 0 20 0 02 .. .. 23 38

30 2 50 2 43 2 36 2 29 2 21 2 12 2 02 1 51 1 38 1 23 1 06 0 44 0 17 .. ..

31 3 53 3 47 3 40 3 33 3 25 3 16 3 06 2 56 2 43 2 29 2 12 1 51 1 24 0 46

Aug. 1 5 04 4 59 4 53 4 46 4 39 4 32 4 23 4 14 4 03 3 51 3 36 3 19 2 58 2 30

2 6 19 6 15 6 10 6 05 5 59 5 53 5 47 5 40 5 31 5 22 5 12 4 59 4 45 4 27

3 7 34 7 31 7 28 7 25 7 21 7 17 7 13 7 08 7 03 6 57 6 50 6 42 6 33 6 23

4 8 49 8 47 8 46 8 44 8 42 8 40 8 38 8 36 8 33 8 30 8 27 8 24 8 19 8 15

5 10 01 10 01 10 01 10 01 10 01 10 01 10 01 10 01 10 01 10 01 10 02 10 02 10 02 10 02

6 11 11 11 12 11 14 11 16 11 18 11 20 11 22 11 24 11 27 11 30 11 33 11 37 11 42 11 47

7 12 19 12 22 12 25 12 28 12 32 12 36 12 40 12 45 12 50 12 56 13 03 13 10 13 19 13 30

8 13 26 13 30 13 34 13 39 13 44 13 50 13 56 14 03 14 11 14 20 14 30 14 41 14 55 15 12

9 14 30 14 35 14 41 14 47 14 54 15 01 15 09 15 18 15 28 15 39 15 53 16 09 16 28 16 53

10 15 31 15 37 15 44 15 51 15 58 16 07 16 16 16 27 16 38 16 52 17 08 17 28 17 53 18 28

11 16 28 16 34 16 41 16 48 16 57 17 06 17 16 17 27 17 40 17 55 18 13 18 35 19 03 19 46

12 17 19 17 25 17 32 17 39 17 47 17 56 18 06 18 18 18 30 18 45 19 02 19 24 19 52 20 32

13 18 04 18 10 18 16 18 23 18 30 18 39 18 48 18 58 19 10 19 23 19 38 19 57 20 20 20 51

14 18 43 18 48 18 54 19 00 19 06 19 13 19 21 19 30 19 40 19 51 20 03 20 18 20 37 20 59

15 19 17 19 21 19 26 19 31 19 36 19 42 19 48 19 55 20 03 20 11 20 21 20 33 20 46 21 02

16 19 47 19 51 19 54 19 58 20 02 20 06 20 11 20 16 20 21 20 28 20 35 20 43 20 52 21 03

17 20 15 20 17 20 19 20 22 20 24 20 27 20 30 20 33 20 37 20 41 20 46 20 51 20 56 21 03

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

July 24 11 48 11 49 11 51 11 52 11 53 11 55 11 57 11 59 12 01 12 03 12 06 12 09 12 12 12 16

25 12 48 12 50 12 53 12 56 12 59 13 02 13 06 13 10 13 14 13 19 13 24 13 31 13 38 13 46

26 13 50 13 54 13 58 14 02 14 06 14 11 14 17 14 23 14 29 14 37 14 45 14 55 15 07 15 21

27 14 54 14 59 15 04 15 10 15 16 15 22 15 30 15 38 15 47 15 57 16 09 16 23 16 40 17 01

28 16 00 16 05 16 12 16 18 16 26 16 34 16 42 16 52 17 04 17 16 17 32 17 50 18 12 18 43

29 17 05 17 11 17 18 17 25 17 33 17 42 17 52 18 03 18 16 18 30 18 47 19 09 19 36 20 15

30 18 06 18 12 18 19 18 27 18 35 18 44 18 54 19 05 19 17 19 32 19 49 20 10 20 37 21 15

31 19 02 19 07 19 14 19 20 19 28 19 36 19 45 19 54 20 05 20 18 20 33 20 51 21 12 21 40

Aug. 1 19 50 19 55 20 00 20 05 20 11 20 18 20 25 20 33 20 42 20 51 21 03 21 16 21 31 21 50

2 20 32 20 35 20 39 20 43 20 47 20 52 20 57 21 03 21 09 21 16 21 23 21 32 21 42 21 54

3 21 09 21 11 21 13 21 15 21 18 21 21 21 24 21 27 21 30 21 34 21 39 21 44 21 50 21 56

4 21 42 21 43 21 43 21 44 21 45 21 46 21 47 21 48 21 49 21 50 21 51 21 53 21 55 21 57

5 22 14 22 13 22 12 22 11 22 11 22 10 22 08 22 07 22 06 22 05 22 03 22 01 21 59 21 57

6 22 45 22 43 22 41 22 39 22 36 22 33 22 30 22 27 22 23 22 19 22 15 22 10 22 04 21 57

7 23 18 23 15 23 11 23 07 23 03 22 59 22 54 22 48 22 42 22 36 22 28 22 19 22 09 21 58

8 23 54 23 49 23 44 23 39 23 33 23 27 23 20 23 13 23 05 22 55 22 44 22 32 22 17 22 00

9 .. .. .. .. .. .. .. .. .. .. .. .. 23 52 23 43 23 32 23 20 23 07 22 50 22 30 22 05

10 0 33 0 27 0 21 0 15 0 08 0 00 .. .. .. .. .. .. 23 54 23 37 23 17 22 52 22 17

11 1 16 1 10 1 04 0 56 0 49 0 40 0 30 0 20 0 08 .. .. .. .. 23 58 23 29 22 46

12 2 05 1 59 1 52 1 44 1 36 1 27 1 17 1 05 0 52 0 37 0 20 .. .. .. .. 23 47

13 2 58 2 52 2 45 2 37 2 29 2 21 2 11 2 00 1 47 1 32 1 15 0 54 0 26 .. ..

14 3 54 3 48 3 42 3 35 3 28 3 20 3 11 3 01 2 50 2 37 2 22 2 03 1 40 1 10

15 4 51 4 46 4 41 4 36 4 29 4 23 4 15 4 07 3 57 3 47 3 35 3 20 3 03 2 41

16 5 50 5 46 5 41 5 37 5 32 5 27 5 21 5 15 5 07 4 59 4 50 4 39 4 27 4 11

17 6 47 6 45 6 42 6 39 6 35 6 31 6 27 6 23 6 18 6 12 6 06 5 59 5 50 5 40

.. .. indicates phenomenon will occur the next day.
52 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Aug. 16 17 47 18 00 18 11 18 20 18 27 18 34 18 45 18 55 19 04 19 13 19 23 19 34 19 40 19 47

17 18 56 19 05 19 12 19 17 19 22 19 26 19 34 19 40 19 46 19 52 19 59 20 06 20 10 20 15

18 20 05 20 09 20 12 20 15 20 17 20 19 20 22 20 25 20 28 20 31 20 33 20 37 20 39 20 41

19 21 14 21 13 21 13 21 12 21 11 21 11 21 10 21 10 21 09 21 08 21 08 21 07 21 07 21 06

20 22 24 22 18 22 14 22 10 22 07 22 04 21 59 21 55 21 51 21 47 21 42 21 38 21 35 21 32

21 23 35 23 25 23 16 23 09 23 03 22 58 22 49 22 41 22 34 22 26 22 19 22 10 22 05 21 59

22 .. .. .. .. .. .. .. .. .. .. 23 54 23 41 23 30 23 19 23 09 22 58 22 45 22 38 22 29

23 0 49 0 33 0 21 0 10 0 02 .. .. .. .. .. .. .. .. 23 54 23 40 23 24 23 15 23 04

24 2 03 1 42 1 26 1 13 1 02 0 52 0 36 0 21 0 08 .. .. .. .. .. .. 23 58 23 45

25 3 17 2 52 2 33 2 17 2 04 1 52 1 33 1 16 1 00 0 45 0 28 0 09 .. .. .. ..

26 4 26 3 58 3 37 3 20 3 06 2 53 2 32 2 14 1 56 1 39 1 21 1 00 0 48 0 34

27 5 26 4 58 4 37 4 20 4 06 3 53 3 32 3 13 2 56 2 38 2 20 1 59 1 46 1 32

28 6 14 5 50 5 30 5 15 5 02 4 50 4 30 4 13 3 57 3 41 3 23 3 03 2 52 2 38

29 6 51 6 31 6 16 6 03 5 52 5 42 5 26 5 11 4 57 4 44 4 29 4 12 4 03 3 51

30 7 20 7 06 6 54 6 45 6 37 6 30 6 18 6 07 5 57 5 46 5 36 5 23 5 16 5 07

31 7 43 7 34 7 28 7 22 7 18 7 13 7 06 6 59 6 53 6 47 6 41 6 33 6 29 6 24

Sept. 1 8 03 8 00 7 58 7 57 7 55 7 54 7 52 7 50 7 48 7 46 7 44 7 42 7 41 7 40

2 8 21 8 24 8 27 8 29 8 31 8 33 8 36 8 38 8 41 8 43 8 46 8 49 8 51 8 53

3 8 40 8 49 8 56 9 02 9 07 9 11 9 19 9 26 9 33 9 39 9 47 9 55 9 59 10 05

4 9 01 9 15 9 27 9 36 9 44 9 51 10 03 10 14 10 24 10 35 10 46 10 59 11 06 11 15

5 9 26 9 45 10 00 10 13 10 23 10 33 10 49 11 03 11 16 11 30 11 44 12 01 12 10 12 22

6 9 57 10 20 10 38 10 53 11 06 11 17 11 36 11 53 12 08 12 24 12 41 13 01 13 12 13 25

7 10 35 11 01 11 22 11 38 11 52 12 05 12 25 12 44 13 01 13 18 13 36 13 57 14 09 14 24

8 11 22 11 50 12 11 12 28 12 42 12 55 13 16 13 35 13 52 14 10 14 28 14 50 15 02 15 17

9 12 18 12 45 13 05 13 21 13 35 13 47 14 08 14 26 14 42 14 59 15 17 15 38 15 49 16 03

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Aug. 16 8 08 7 53 7 41 7 32 7 23 7 16 7 03 6 52 6 41 6 31 6 19 6 06 5 58 5 50

17 8 26 8 16 8 07 8 01 7 55 7 49 7 40 7 32 7 24 7 17 7 09 6 59 6 54 6 47

18 8 41 8 36 8 31 8 27 8 24 8 21 8 15 8 11 8 06 8 02 7 57 7 52 7 49 7 45

19 8 56 8 55 8 53 8 53 8 52 8 51 8 50 8 49 8 48 8 47 8 45 8 44 8 43 8 42

20 9 10 9 13 9 16 9 18 9 20 9 21 9 24 9 27 9 29 9 31 9 34 9 36 9 38 9 40

21 9 25 9 33 9 39 9 44 9 49 9 53 9 59 10 05 10 11 10 17 10 23 10 30 10 34 10 38

22 9 42 9 55 10 04 10 13 10 20 10 26 10 37 10 46 10 55 11 04 11 14 11 25 11 31 11 38

23 10 03 10 20 10 33 10 45 10 54 11 03 11 17 11 30 11 42 11 54 12 07 12 22 12 30 12 40

24 10 29 10 51 11 08 11 22 11 34 11 44 12 02 12 18 12 32 12 47 13 03 13 21 13 31 13 44

25 11 05 11 31 11 50 12 07 12 20 12 32 12 52 13 10 13 27 13 43 14 01 14 21 14 33 14 47

26 11 53 12 21 12 43 13 00 13 14 13 27 13 48 14 07 14 24 14 42 15 00 15 22 15 34 15 49

27 12 57 13 24 13 45 14 02 14 16 14 29 14 50 15 08 15 25 15 42 16 00 16 20 16 32 16 46

28 14 15 14 39 14 57 15 12 15 25 15 36 15 54 16 11 16 26 16 41 16 57 17 15 17 26 17 38

29 15 43 16 01 16 15 16 27 16 37 16 46 17 01 17 14 17 26 17 38 17 50 18 05 18 13 18 23

30 17 14 17 26 17 36 17 44 17 51 17 57 18 07 18 16 18 24 18 32 18 41 18 50 18 56 19 02

31 18 46 18 52 18 56 19 00 19 03 19 06 19 11 19 15 19 19 19 23 19 28 19 32 19 35 19 38

Sept. 1 20 16 20 15 20 15 20 15 20 15 20 14 20 14 20 14 20 13 20 13 20 12 20 12 20 11 20 11

2 21 43 21 37 21 32 21 28 21 24 21 21 21 15 21 10 21 06 21 01 20 56 20 50 20 47 20 44

3 23 08 22 56 22 46 22 38 22 31 22 25 22 15 22 06 21 57 21 49 21 40 21 30 21 24 21 17

4 .. .. .. .. 23 58 23 47 23 37 23 29 23 14 23 01 22 49 22 37 22 25 22 10 22 02 21 52

5 0 30 0 12 .. .. .. .. .. .. .. .. .. .. 23 56 23 41 23 27 23 11 22 53 22 43 22 31

6 1 47 1 24 1 07 0 52 0 40 0 30 0 12 .. .. .. .. .. .. 23 59 23 39 23 27 23 14

7 2 56 2 30 2 10 1 54 1 40 1 28 1 08 0 50 0 34 0 17 .. .. .. .. .. .. .. ..

8 3 55 3 28 3 07 2 50 2 35 2 23 2 01 1 43 1 26 1 08 0 50 0 28 0 16 0 01

9 4 44 4 17 3 56 3 39 3 25 3 13 2 52 2 34 2 17 1 59 1 41 1 20 1 07 0 53

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 53

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Aug. 16 19 47 19 51 19 54 19 58 20 02 20 06 20 11 20 16 20 21 20 28 20 35 20 43 20 52 21 03

17 20 15 20 17 20 19 20 22 20 24 20 27 20 30 20 33 20 37 20 41 20 46 20 51 20 56 21 03

18 20 41 20 42 20 43 20 44 20 45 20 46 20 48 20 49 20 51 20 53 20 55 20 57 21 00 21 03

19 21 06 21 06 21 06 21 06 21 05 21 05 21 05 21 05 21 04 21 04 21 03 21 03 21 02 21 02

20 21 32 21 31 21 29 21 28 21 26 21 24 21 22 21 20 21 18 21 15 21 12 21 09 21 05 21 01

21 21 59 21 57 21 54 21 51 21 48 21 45 21 41 21 37 21 33 21 28 21 22 21 16 21 09 21 01

22 22 29 22 26 22 22 22 18 22 13 22 08 22 03 21 57 21 50 21 43 21 35 21 26 21 15 21 02

23 23 04 22 59 22 54 22 49 22 43 22 36 22 29 22 22 22 13 22 03 21 52 21 39 21 23 21 04

24 23 45 23 39 23 33 23 27 23 19 23 12 23 03 22 53 22 43 22 30 22 16 21 59 21 38 21 11

25 .. .. .. .. .. .. .. .. .. .. 23 57 23 47 23 36 23 24 23 09 22 52 22 32 22 06 21 29

26 0 34 0 28 0 21 0 13 0 05 .. .. .. .. .. .. .. .. .. .. 23 47 23 25 22 57 22 16

27 1 32 1 25 1 18 1 11 1 03 0 54 0 44 0 32 0 20 0 05 .. .. .. .. .. .. 23 44

28 2 38 2 32 2 26 2 19 2 11 2 03 1 54 1 43 1 31 1 18 1 02 0 42 0 18 .. ..

29 3 51 3 46 3 41 3 35 3 29 3 22 3 14 3 06 2 56 2 45 2 33 2 18 2 00 1 37

30 5 07 5 04 5 00 4 56 4 51 4 46 4 41 4 34 4 28 4 20 4 11 4 01 3 50 3 36

31 6 24 6 22 6 20 6 17 6 14 6 12 6 08 6 05 6 01 5 57 5 52 5 46 5 40 5 32

Sept. 1 7 40 7 39 7 38 7 38 7 37 7 36 7 35 7 34 7 33 7 32 7 31 7 29 7 27 7 25

2 8 53 8 54 8 55 8 56 8 57 8 59 9 00 9 01 9 03 9 05 9 07 9 09 9 12 9 15

3 10 05 10 07 10 10 10 13 10 16 10 19 10 22 10 26 10 31 10 36 10 41 10 47 10 55 11 03

4 11 15 11 18 11 22 11 27 11 31 11 37 11 42 11 48 11 55 12 03 12 12 12 23 12 35 12 50

5 12 22 12 27 12 32 12 38 12 44 12 51 12 58 13 07 13 16 13 27 13 39 13 54 14 12 14 34

6 13 25 13 31 13 37 13 44 13 51 14 00 14 09 14 19 14 31 14 44 15 00 15 18 15 42 16 15

7 14 24 14 30 14 37 14 44 14 53 15 02 15 12 15 23 15 36 15 51 16 08 16 30 16 59 17 41

8 15 17 15 23 15 30 15 38 15 46 15 55 16 05 16 17 16 30 16 45 17 03 17 25 17 54 18 37

9 16 03 16 09 16 16 16 23 16 31 16 40 16 49 17 00 17 12 17 26 17 42 18 02 18 27 19 02

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Aug. 16 5 50 5 46 5 41 5 37 5 32 5 27 5 21 5 15 5 07 4 59 4 50 4 39 4 27 4 11

17 6 47 6 45 6 42 6 39 6 35 6 31 6 27 6 23 6 18 6 12 6 06 5 59 5 50 5 40

18 7 45 7 43 7 42 7 40 7 38 7 36 7 33 7 31 7 28 7 25 7 21 7 17 7 13 7 07

19 8 42 8 42 8 41 8 41 8 40 8 40 8 39 8 39 8 38 8 37 8 36 8 35 8 34 8 33

20 9 40 9 41 9 42 9 42 9 43 9 45 9 46 9 47 9 48 9 50 9 52 9 54 9 56 9 59

21 10 38 10 40 10 43 10 45 10 47 10 50 10 53 10 56 11 00 11 04 11 08 11 14 11 19 11 26

22 11 38 11 42 11 45 11 49 11 53 11 57 12 02 12 07 12 13 12 20 12 27 12 36 12 46 12 58

23 12 40 12 45 12 49 12 54 13 00 13 06 13 12 13 20 13 28 13 37 13 48 14 00 14 15 14 33

24 13 44 13 49 13 55 14 01 14 08 14 15 14 24 14 33 14 43 14 55 15 09 15 26 15 46 16 12

25 14 47 14 53 15 00 15 07 15 15 15 23 15 33 15 44 15 56 16 10 16 27 16 47 17 13 17 49

26 15 49 15 55 16 02 16 10 16 18 16 27 16 37 16 48 17 01 17 16 17 34 17 56 18 24 19 05

27 16 46 16 52 16 59 17 06 17 14 17 23 17 32 17 43 17 55 18 09 18 25 18 45 19 10 19 44

28 17 38 17 43 17 49 17 55 18 02 18 09 18 17 18 26 18 36 18 48 19 01 19 16 19 35 19 58

29 18 23 18 27 18 31 18 36 18 41 18 47 18 53 19 00 19 07 19 16 19 25 19 36 19 49 20 04

30 19 02 19 05 19 08 19 11 19 15 19 18 19 22 19 27 19 31 19 37 19 43 19 50 19 58 20 07

31 19 38 19 39 19 41 19 42 19 44 19 45 19 47 19 49 19 52 19 54 19 57 20 00 20 03 20 07

Sept. 1 20 11 20 11 20 11 20 11 20 10 20 10 20 10 20 10 20 09 20 09 20 09 20 08 20 08 20 07

2 20 44 20 42 20 40 20 39 20 37 20 35 20 32 20 30 20 27 20 24 20 21 20 17 20 12 20 07

3 21 17 21 14 21 11 21 07 21 04 21 00 20 56 20 51 20 46 20 40 20 33 20 26 20 18 20 08

4 21 52 21 48 21 44 21 39 21 34 21 28 21 22 21 15 21 07 20 59 20 49 20 38 20 25 20 09

5 22 31 22 26 22 20 22 14 22 07 22 00 21 52 21 43 21 33 21 22 21 09 20 54 20 35 20 12

6 23 14 23 08 23 01 22 54 22 47 22 38 22 29 22 18 22 06 21 53 21 37 21 18 20 53 20 21

7 .. .. 23 55 23 48 23 40 23 32 23 23 23 13 23 02 22 49 22 34 22 16 21 54 21 25 20 43

8 0 01 .. .. .. .. .. .. .. .. .. .. .. .. 23 53 23 40 23 25 23 08 22 45 22 16 21 33

9 0 53 0 47 0 40 0 32 0 24 0 15 0 05 .. .. .. .. .. .. .. .. 23 52 23 27 22 52

.. .. indicates phenomenon will occur the next day.
54 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Sept. 8 11 22 11 50 12 11 12 28 12 42 12 55 13 16 13 35 13 52 14 10 14 28 14 50 15 02 15 17

9 12 18 12 45 13 05 13 21 13 35 13 47 14 08 14 26 14 42 14 59 15 17 15 38 15 49 16 03

10 13 21 13 45 14 03 14 18 14 30 14 41 15 00 15 16 15 31 15 46 16 02 16 21 16 32 16 44

11 14 28 14 48 15 03 15 15 15 26 15 35 15 51 16 05 16 18 16 30 16 44 17 00 17 09 17 19

12 15 37 15 52 16 03 16 13 16 21 16 29 16 41 16 52 17 02 17 12 17 23 17 35 17 42 17 50

13 16 46 16 56 17 04 17 11 17 17 17 22 17 30 17 38 17 45 17 52 18 00 18 08 18 13 18 19

14 17 56 18 01 18 05 18 09 18 12 18 14 18 19 18 23 18 27 18 31 18 35 18 39 18 42 18 45

15 19 05 19 06 19 06 19 06 19 07 19 07 19 07 19 08 19 08 19 08 19 09 19 09 19 10 19 10

16 20 15 20 11 20 07 20 04 20 02 20 00 19 56 19 53 19 50 19 47 19 43 19 40 19 38 19 35

17 21 26 21 17 21 09 21 03 20 58 20 53 20 45 20 38 20 32 20 26 20 19 20 11 20 07 20 02

18 22 38 22 24 22 12 22 03 21 55 21 48 21 36 21 26 21 16 21 07 20 56 20 45 20 38 20 31

19 23 51 23 32 23 17 23 05 22 54 22 45 22 29 22 16 22 03 21 50 21 37 21 22 21 13 21 03

20 .. .. .. .. .. .. .. .. 23 54 23 43 23 24 23 08 22 53 22 38 22 22 22 03 21 53 21 41

21 1 04 0 40 0 22 0 07 .. .. .. .. .. .. .. .. 23 46 23 29 23 11 22 51 22 39 22 25

22 2 14 1 46 1 26 1 09 0 55 0 42 0 21 0 03 .. .. .. .. .. .. 23 45 23 32 23 17

23 3 16 2 47 2 26 2 08 1 54 1 41 1 19 1 00 0 43 0 25 0 06 .. .. .. .. .. ..

24 4 07 3 40 3 20 3 03 2 49 2 37 2 16 1 58 1 41 1 24 1 06 0 45 0 32 0 18

25 4 47 4 25 4 07 3 53 3 40 3 30 3 11 2 55 2 40 2 25 2 09 1 50 1 39 1 27

26 5 18 5 01 4 48 4 36 4 27 4 18 4 03 3 51 3 38 3 26 3 13 2 58 2 50 2 40

27 5 43 5 32 5 23 5 15 5 08 5 03 4 53 4 44 4 35 4 27 4 18 4 08 4 02 3 55

28 6 04 5 58 5 54 5 50 5 47 5 44 5 39 5 35 5 31 5 27 5 23 5 18 5 15 5 12

29 6 23 6 23 6 23 6 24 6 24 6 24 6 24 6 25 6 25 6 25 6 26 6 26 6 27 6 27

30 6 42 6 48 6 53 6 57 7 00 7 03 7 09 7 14 7 19 7 23 7 28 7 34 7 38 7 42

Oct. 1 7 02 7 13 7 23 7 31 7 38 7 44 7 54 8 03 8 12 8 21 8 30 8 41 8 47 8 55

2 7 25 7 42 7 56 8 07 8 17 8 26 8 40 8 53 9 06 9 18 9 31 9 46 9 55 10 06

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Sept. 8 3 55 3 28 3 07 2 50 2 35 2 23 2 01 1 43 1 26 1 08 0 50 0 28 0 16 0 01

9 4 44 4 17 3 56 3 39 3 25 3 13 2 52 2 34 2 17 1 59 1 41 1 20 1 07 0 53

10 5 21 4 57 4 38 4 23 4 10 3 59 3 39 3 22 3 06 2 50 2 33 2 13 2 01 1 48

11 5 51 5 30 5 14 5 01 4 50 4 40 4 23 4 08 3 54 3 40 3 24 3 07 2 57 2 45

12 6 14 5 58 5 45 5 34 5 25 5 17 5 03 4 51 4 39 4 28 4 15 4 01 3 53 3 43

13 6 33 6 21 6 12 6 04 5 57 5 51 5 41 5 32 5 23 5 14 5 05 4 54 4 48 4 41

14 6 49 6 42 6 36 6 31 6 27 6 23 6 16 6 11 6 05 6 00 5 54 5 47 5 43 5 39

15 7 03 7 01 6 58 6 57 6 55 6 54 6 51 6 49 6 47 6 45 6 42 6 40 6 38 6 36

16 7 17 7 19 7 20 7 22 7 23 7 24 7 25 7 27 7 28 7 29 7 31 7 32 7 33 7 34

17 7 32 7 38 7 43 7 47 7 51 7 54 8 00 8 05 8 10 8 15 8 20 8 25 8 29 8 32

18 7 48 7 59 8 07 8 15 8 21 8 27 8 36 8 45 8 53 9 01 9 10 9 20 9 25 9 32

19 8 07 8 22 8 35 8 45 8 54 9 02 9 15 9 27 9 38 9 50 10 02 10 15 10 23 10 33

20 8 30 8 50 9 06 9 20 9 31 9 41 9 58 10 13 10 27 10 41 10 56 11 13 11 23 11 34

21 9 01 9 26 9 45 10 00 10 14 10 25 10 45 11 02 11 18 11 34 11 52 12 11 12 23 12 36

22 9 43 10 10 10 31 10 48 11 03 11 15 11 37 11 56 12 13 12 30 12 49 13 10 13 23 13 37

23 10 38 11 06 11 28 11 45 12 00 12 12 12 34 12 53 13 10 13 28 13 46 14 08 14 20 14 35

24 11 48 12 14 12 34 12 50 13 03 13 15 13 35 13 53 14 09 14 25 14 42 15 02 15 14 15 27

25 13 09 13 30 13 47 14 01 14 12 14 22 14 39 14 54 15 08 15 22 15 36 15 53 16 02 16 13

26 14 38 14 53 15 05 15 15 15 24 15 31 15 44 15 55 16 06 16 16 16 27 16 39 16 46 16 54

27 16 09 16 18 16 25 16 31 16 37 16 41 16 49 16 56 17 02 17 08 17 15 17 22 17 26 17 31

28 17 41 17 43 17 46 17 47 17 49 17 50 17 53 17 55 17 57 17 59 18 00 18 03 18 04 18 05

29 19 11 19 08 19 05 19 03 19 01 18 59 18 56 18 53 18 50 18 48 18 45 18 42 18 40 18 38

30 20 40 20 31 20 23 20 17 20 11 20 06 19 58 19 51 19 44 19 37 19 30 19 22 19 17 19 12

Oct. 1 22 07 21 51 21 39 21 29 21 20 21 12 20 59 20 48 20 37 20 27 20 16 20 03 19 55 19 47

2 23 29 23 08 22 52 22 38 22 27 22 17 22 00 21 45 21 31 21 18 21 03 20 46 20 36 20 25

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 55

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Sept. 8 15 17 15 23 15 30 15 38 15 46 15 55 16 05 16 17 16 30 16 45 17 03 17 25 17 54 18 37

9 16 03 16 09 16 16 16 23 16 31 16 40 16 49 17 00 17 12 17 26 17 42 18 02 18 27 19 02

10 16 44 16 49 16 55 17 02 17 08 17 16 17 24 17 34 17 44 17 56 18 10 18 26 18 46 19 11

11 17 19 17 24 17 29 17 34 17 40 17 46 17 53 18 00 18 09 18 18 18 29 18 42 18 57 19 15

12 17 50 17 54 17 58 18 02 18 06 18 11 18 16 18 22 18 28 18 35 18 43 18 53 19 03 19 16

13 18 19 18 21 18 24 18 26 18 29 18 33 18 36 18 40 18 44 18 49 18 54 19 01 19 07 19 15

14 18 45 18 46 18 48 18 49 18 51 18 52 18 54 18 56 18 59 19 01 19 04 19 07 19 11 19 15

15 19 10 19 10 19 10 19 11 19 11 19 11 19 11 19 11 19 12 19 12 19 12 19 13 19 13 19 14

16 19 35 19 34 19 33 19 32 19 31 19 30 19 28 19 27 19 25 19 23 19 21 19 18 19 16 19 13

17 20 02 20 00 19 57 19 55 19 52 19 49 19 46 19 43 19 39 19 35 19 30 19 25 19 19 19 12

18 20 31 20 27 20 24 20 20 20 16 20 11 20 06 20 01 19 55 19 49 19 41 19 33 19 23 19 12

19 21 03 20 59 20 54 20 49 20 43 20 37 20 31 20 23 20 15 20 06 19 56 19 44 19 30 19 13

20 21 41 21 35 21 29 21 23 21 16 21 09 21 01 20 51 20 41 20 30 20 16 20 00 19 41 19 16

21 22 25 22 19 22 12 22 05 21 57 21 49 21 39 21 28 21 16 21 02 20 46 20 26 20 01 19 27

22 23 17 23 11 23 04 22 56 22 48 22 39 22 29 22 17 22 04 21 49 21 31 21 09 20 40 19 57

23 .. .. .. .. .. .. 23 58 23 50 23 41 23 31 23 20 23 07 22 53 22 35 22 14 21 46 21 07

24 0 18 0 12 0 05 .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 57 23 40 23 18 22 50

25 1 27 1 21 1 15 1 08 1 01 0 54 0 45 0 35 0 24 0 12 .. .. .. .. .. .. .. ..

26 2 40 2 35 2 31 2 25 2 20 2 14 2 07 2 00 1 52 1 42 1 31 1 19 1 04 0 45

27 3 55 3 52 3 49 3 46 3 42 3 38 3 34 3 29 3 23 3 17 3 10 3 02 2 53 2 42

28 5 12 5 10 5 09 5 07 5 05 5 03 5 01 4 59 4 56 4 54 4 50 4 47 4 43 4 38

29 6 27 6 27 6 27 6 28 6 28 6 28 6 28 6 29 6 29 6 29 6 30 6 30 6 30 6 31

30 7 42 7 43 7 45 7 47 7 49 7 52 7 54 7 57 8 00 8 03 8 07 8 12 8 17 8 23

Oct. 1 8 55 8 58 9 01 9 05 9 09 9 13 9 18 9 23 9 29 9 36 9 43 9 52 10 02 10 14

2 10 06 10 10 10 15 10 20 10 26 10 32 10 39 10 47 10 55 11 05 11 16 11 29 11 45 12 05

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Sept. 8 0 01 .. .. .. .. .. .. .. .. .. .. .. .. 23 53 23 40 23 25 23 08 22 45 22 16 21 33

9 0 53 0 47 0 40 0 32 0 24 0 15 0 05 .. .. .. .. .. .. .. .. 23 52 23 27 22 52

10 1 48 1 42 1 36 1 29 1 21 1 13 1 03 0 53 0 41 0 27 0 11 .. .. .. .. .. ..

11 2 45 2 40 2 34 2 28 2 22 2 14 2 06 1 58 1 47 1 36 1 23 1 07 0 47 0 23

12 3 43 3 39 3 34 3 29 3 24 3 18 3 12 3 05 2 57 2 48 2 38 2 26 2 12 1 54

13 4 41 4 38 4 35 4 31 4 27 4 23 4 18 4 13 4 07 4 01 3 54 3 45 3 36 3 24

14 5 39 5 37 5 35 5 33 5 30 5 27 5 25 5 21 5 18 5 14 5 10 5 05 4 59 4 52

15 6 36 6 36 6 35 6 34 6 33 6 32 6 31 6 30 6 28 6 27 6 25 6 23 6 21 6 18

16 7 34 7 35 7 35 7 36 7 36 7 37 7 37 7 38 7 39 7 40 7 41 7 42 7 43 7 45

17 8 32 8 34 8 36 8 38 8 40 8 42 8 45 8 47 8 50 8 54 8 57 9 01 9 06 9 12

18 9 32 9 35 9 38 9 41 9 45 9 49 9 53 9 58 10 03 10 09 10 15 10 23 10 32 10 42

19 10 33 10 37 10 41 10 46 10 51 10 56 11 02 11 09 11 17 11 25 11 35 11 46 11 59 12 16

20 11 34 11 40 11 45 11 51 11 57 12 05 12 12 12 21 12 31 12 42 12 55 13 10 13 29 13 53

21 12 36 12 42 12 49 12 56 13 03 13 12 13 21 13 32 13 43 13 57 14 13 14 32 14 57 15 31

22 13 37 13 44 13 51 13 58 14 06 14 16 14 26 14 37 14 50 15 05 15 23 15 45 16 14 16 57

23 14 35 14 41 14 48 14 55 15 04 15 13 15 23 15 34 15 47 16 01 16 19 16 40 17 08 17 48

24 15 27 15 33 15 39 15 46 15 53 16 01 16 10 16 20 16 31 16 44 16 59 17 17 17 39 18 08

25 16 13 16 18 16 23 16 29 16 35 16 41 16 49 16 57 17 06 17 16 17 27 17 40 17 56 18 16

26 16 54 16 58 17 02 17 06 17 10 17 15 17 20 17 26 17 32 17 39 17 47 17 56 18 06 18 18

27 17 31 17 33 17 35 17 38 17 40 17 43 17 46 17 49 17 53 17 57 18 01 18 07 18 12 18 19

28 18 05 18 06 18 07 18 07 18 08 18 09 18 10 18 10 18 11 18 13 18 14 18 15 18 17 18 19

29 18 38 18 37 18 36 18 35 18 34 18 33 18 32 18 30 18 29 18 27 18 25 18 23 18 21 18 18

30 19 12 19 09 19 07 19 04 19 01 18 58 18 55 18 51 18 47 18 42 18 37 18 32 18 25 18 17

Oct. 1 19 47 19 43 19 39 19 35 19 30 19 25 19 20 19 14 19 07 19 00 18 51 18 42 18 31 18 17

2 20 25 20 20 20 15 20 09 20 03 19 56 19 49 19 41 19 32 19 21 19 09 18 56 18 39 18 19

.. .. indicates phenomenon will occur the next day.
56 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 7 02 7 13 7 23 7 31 7 38 7 44 7 54 8 03 8 12 8 21 8 30 8 41 8 47 8 55

2 7 25 7 42 7 56 8 07 8 17 8 26 8 40 8 53 9 06 9 18 9 31 9 46 9 55 10 06

3 7 54 8 16 8 33 8 47 9 00 9 10 9 28 9 44 10 00 10 15 10 31 10 50 11 01 11 13

4 8 30 8 56 9 16 9 32 9 46 9 58 10 19 10 36 10 53 11 10 11 28 11 49 12 02 12 16

5 9 15 9 43 10 04 10 21 10 36 10 48 11 10 11 29 11 46 12 04 12 23 12 45 12 57 13 12

6 10 09 10 36 10 57 11 14 11 29 11 41 12 02 12 21 12 38 12 55 13 14 13 35 13 47 14 02

7 11 10 11 35 11 55 12 10 12 24 12 35 12 55 13 12 13 28 13 44 14 01 14 20 14 31 14 44

8 12 17 12 38 12 54 13 08 13 19 13 29 13 46 14 01 14 15 14 29 14 44 15 00 15 10 15 21

9 13 26 13 42 13 55 14 06 14 15 14 23 14 37 14 49 15 00 15 11 15 23 15 37 15 45 15 54

10 14 35 14 47 14 56 15 04 15 11 15 16 15 27 15 35 15 44 15 52 16 00 16 10 16 16 16 22

11 15 45 15 52 15 57 16 02 16 06 16 09 16 15 16 21 16 26 16 30 16 36 16 42 16 45 16 49

12 16 55 16 57 16 58 17 00 17 01 17 02 17 04 17 05 17 07 17 08 17 10 17 12 17 13 17 14

13 18 05 18 02 18 00 17 58 17 56 17 55 17 52 17 50 17 48 17 46 17 44 17 42 17 41 17 39

14 19 16 19 08 19 02 18 57 18 53 18 49 18 42 18 36 18 31 18 25 18 20 18 13 18 10 18 05

15 20 29 20 16 20 06 19 57 19 50 19 44 19 33 19 24 19 15 19 06 18 57 18 46 18 40 18 33

16 21 43 21 25 21 11 20 59 20 49 20 40 20 26 20 13 20 01 19 49 19 36 19 22 19 14 19 04

17 22 56 22 33 22 16 22 01 21 49 21 38 21 20 21 05 20 50 20 35 20 20 20 02 19 52 19 40

18 .. .. 23 40 23 20 23 03 22 49 22 37 22 16 21 59 21 42 21 25 21 07 20 47 20 35 20 22

19 0 07 .. .. .. .. .. .. 23 48 23 35 23 13 22 54 22 36 22 19 22 00 21 38 21 25 21 11

20 1 11 0 42 0 20 0 03 .. .. .. .. .. .. 23 50 23 33 23 15 22 56 22 35 22 22 22 07

21 2 05 1 37 1 15 0 58 0 44 0 31 0 09 .. .. .. .. .. .. 23 56 23 36 23 25 23 11

22 2 47 2 23 2 04 1 48 1 35 1 23 1 03 0 46 0 30 0 14 .. .. .. .. .. .. .. ..

23 3 20 3 00 2 45 2 32 2 21 2 11 1 55 1 40 1 27 1 13 0 58 0 41 0 32 0 20

24 3 46 3 32 3 20 3 11 3 03 2 56 2 43 2 32 2 22 2 12 2 01 1 48 1 41 1 33

25 4 07 3 58 3 52 3 46 3 41 3 37 3 29 3 23 3 16 3 10 3 03 2 56 2 51 2 46

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 22 07 21 51 21 39 21 29 21 20 21 12 20 59 20 48 20 37 20 27 20 16 20 03 19 55 19 47

2 23 29 23 08 22 52 22 38 22 27 22 17 22 00 21 45 21 31 21 18 21 03 20 46 20 36 20 25

3 .. .. .. .. 23 59 23 44 23 30 23 19 22 59 22 41 22 25 22 09 21 52 21 32 21 21 21 08

4 0 44 0 19 .. .. .. .. .. .. .. .. 23 55 23 36 23 19 23 02 22 43 22 22 22 09 21 55

5 1 50 1 22 1 01 0 43 0 29 0 16 .. .. .. .. .. .. 23 54 23 35 23 13 23 01 22 46

6 2 43 2 15 1 54 1 36 1 22 1 09 0 48 0 29 0 12 .. .. .. .. .. .. 23 55 23 41

7 3 24 2 59 2 39 2 23 2 09 1 57 1 37 1 19 1 02 0 46 0 28 0 07 .. .. .. ..

8 3 56 3 34 3 17 3 02 2 50 2 40 2 22 2 06 1 51 1 36 1 20 1 01 0 50 0 38

9 4 20 4 03 3 49 3 37 3 27 3 18 3 03 2 50 2 37 2 24 2 11 1 55 1 46 1 36

10 4 40 4 27 4 16 4 07 4 00 3 53 3 41 3 31 3 21 3 12 3 01 2 49 2 42 2 34

11 4 57 4 48 4 41 4 35 4 30 4 25 4 17 4 10 4 04 3 57 3 50 3 42 3 37 3 32

12 5 11 5 07 5 04 5 01 4 58 4 56 4 52 4 49 4 46 4 42 4 39 4 35 4 32 4 30

13 5 25 5 25 5 26 5 26 5 26 5 26 5 26 5 27 5 27 5 27 5 27 5 27 5 28 5 28

14 5 39 5 44 5 48 5 51 5 54 5 57 6 01 6 05 6 09 6 12 6 16 6 21 6 23 6 26

15 5 54 6 04 6 11 6 18 6 23 6 28 6 37 6 45 6 52 6 59 7 06 7 15 7 20 7 26

16 6 12 6 26 6 38 6 47 6 55 7 03 7 15 7 26 7 37 7 47 7 58 8 11 8 18 8 27

17 6 33 6 52 7 08 7 20 7 31 7 40 7 57 8 11 8 24 8 37 8 52 9 08 9 18 9 29

18 7 01 7 25 7 44 7 59 8 11 8 23 8 42 8 59 9 14 9 30 9 47 10 07 10 18 10 31

19 7 38 8 06 8 27 8 44 8 58 9 11 9 32 9 50 10 08 10 25 10 44 11 05 11 17 11 32

20 8 28 8 57 9 19 9 37 9 51 10 04 10 26 10 45 11 03 11 21 11 40 12 02 12 15 12 29

21 9 31 9 59 10 20 10 37 10 51 11 04 11 25 11 43 12 00 12 17 12 35 12 56 13 08 13 22

22 10 46 11 10 11 29 11 43 11 56 12 07 12 26 12 42 12 57 13 12 13 28 13 46 13 57 14 09

23 12 10 12 28 12 43 12 54 13 04 13 13 13 28 13 41 13 53 14 05 14 18 14 32 14 41 14 50

24 13 37 13 50 13 59 14 07 14 14 14 20 14 31 14 40 14 48 14 56 15 05 15 15 15 21 15 27

25 15 07 15 13 15 17 15 21 15 25 15 28 15 33 15 37 15 42 15 46 15 50 15 55 15 58 16 01

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 57

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 8 55 8 58 9 01 9 05 9 09 9 13 9 18 9 23 9 29 9 36 9 43 9 52 10 02 10 14

2 10 06 10 10 10 15 10 20 10 26 10 32 10 39 10 47 10 55 11 05 11 16 11 29 11 45 12 05

3 11 13 11 19 11 25 11 31 11 39 11 46 11 55 12 05 12 16 12 28 12 43 13 01 13 23 13 53

4 12 16 12 22 12 29 12 36 12 44 12 53 13 03 13 15 13 27 13 42 14 00 14 21 14 50 15 31

5 13 12 13 19 13 26 13 34 13 42 13 51 14 02 14 13 14 27 14 42 15 01 15 24 15 55 16 43

6 14 02 14 08 14 15 14 22 14 31 14 40 14 49 15 01 15 13 15 28 15 46 16 07 16 35 17 15

7 14 44 14 50 14 57 15 03 15 11 15 19 15 28 15 37 15 49 16 02 16 16 16 34 16 57 17 26

8 15 21 15 26 15 32 15 37 15 44 15 50 15 58 16 06 16 15 16 26 16 38 16 52 17 08 17 29

9 15 54 15 58 16 02 16 06 16 11 16 17 16 22 16 29 16 36 16 44 16 53 17 03 17 15 17 30

10 16 22 16 25 16 28 16 32 16 35 16 39 16 43 16 48 16 53 16 58 17 04 17 11 17 20 17 29

11 16 49 16 51 16 52 16 54 16 56 16 59 17 01 17 04 17 07 17 10 17 14 17 18 17 23 17 28

12 17 14 17 15 17 15 17 16 17 17 17 17 17 18 17 19 17 20 17 21 17 22 17 23 17 25 17 26

13 17 39 17 39 17 38 17 37 17 37 17 36 17 35 17 34 17 33 17 31 17 30 17 29 17 27 17 25

14 18 05 18 04 18 02 17 59 17 57 17 55 17 52 17 49 17 46 17 43 17 39 17 34 17 29 17 23

15 18 33 18 30 18 27 18 24 18 20 18 16 18 11 18 07 18 01 17 55 17 49 17 41 17 33 17 22

16 19 04 19 00 18 56 18 51 18 46 18 40 18 34 18 27 18 20 18 11 18 02 17 51 17 38 17 22

17 19 40 19 35 19 29 19 23 19 17 19 10 19 02 18 53 18 43 18 32 18 19 18 04 17 46 17 24

18 20 22 20 16 20 09 20 02 19 54 19 46 19 37 19 26 19 15 19 01 18 45 18 26 18 02 17 30

19 21 11 21 04 20 57 20 50 20 41 20 32 20 22 20 10 19 57 19 42 19 24 19 01 18 32 17 49

20 22 07 22 01 21 54 21 46 21 38 21 29 21 18 21 07 20 54 20 38 20 20 19 57 19 27 18 42

21 23 11 23 05 22 59 22 52 22 44 22 36 22 26 22 16 22 04 21 50 21 34 21 15 20 50 20 16

22 .. .. .. .. .. .. .. .. 23 58 23 51 23 43 23 35 23 25 23 14 23 02 22 47 22 29 22 06

23 0 20 0 15 0 10 0 04 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

24 1 33 1 29 1 25 1 21 1 16 1 11 1 05 0 59 0 52 0 45 0 36 0 26 0 14 0 00

25 2 46 2 44 2 42 2 39 2 36 2 33 2 30 2 26 2 22 2 18 2 13 2 07 2 01 1 53

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 1 19 47 19 43 19 39 19 35 19 30 19 25 19 20 19 14 19 07 19 00 18 51 18 42 18 31 18 17

2 20 25 20 20 20 15 20 09 20 03 19 56 19 49 19 41 19 32 19 21 19 09 18 56 18 39 18 19

3 21 08 21 02 20 55 20 49 20 41 20 33 20 24 20 14 20 02 19 49 19 34 19 16 18 53 18 23

4 21 55 21 48 21 41 21 34 21 25 21 16 21 06 20 55 20 42 20 27 20 09 19 47 19 19 18 37

5 22 46 22 39 22 32 22 25 22 16 22 07 21 57 21 45 21 32 21 16 20 57 20 34 20 04 19 16

6 23 41 23 35 23 28 23 21 23 13 23 04 22 54 22 43 22 30 22 16 21 59 21 37 21 10 20 30

7 .. .. .. .. .. .. .. .. .. .. .. .. 23 56 23 47 23 36 23 23 23 09 22 51 22 30 22 01

8 0 38 0 32 0 26 0 20 0 13 0 05 .. .. .. .. .. .. .. .. .. .. .. .. 23 54 23 34

9 1 36 1 31 1 26 1 21 1 15 1 09 1 02 0 54 0 45 0 35 0 24 0 10 .. .. .. ..

10 2 34 2 30 2 27 2 23 2 18 2 13 2 08 2 02 1 56 1 48 1 40 1 30 1 19 1 06

11 3 32 3 30 3 27 3 24 3 21 3 18 3 15 3 11 3 07 3 02 2 56 2 50 2 43 2 35

12 4 30 4 29 4 27 4 26 4 25 4 23 4 21 4 19 4 17 4 15 4 12 4 09 4 06 4 02

13 5 28 5 28 5 28 5 28 5 28 5 28 5 28 5 28 5 28 5 28 5 28 5 29 5 29 5 29

14 6 26 6 28 6 29 6 30 6 32 6 34 6 36 6 38 6 40 6 43 6 45 6 49 6 52 6 57

15 7 26 7 28 7 31 7 34 7 37 7 41 7 44 7 48 7 53 7 58 8 04 8 10 8 18 8 27

16 8 27 8 31 8 35 8 39 8 44 8 49 8 54 9 00 9 07 9 15 9 24 9 34 9 46 10 01

17 9 29 9 34 9 39 9 45 9 51 9 57 10 05 10 13 10 22 10 33 10 45 11 00 11 17 11 39

18 10 31 10 37 10 43 10 50 10 57 11 05 11 14 11 25 11 36 11 49 12 05 12 23 12 47 13 19

19 11 32 11 38 11 45 11 53 12 01 12 10 12 20 12 32 12 45 13 00 13 18 13 40 14 09 14 52

20 12 29 12 36 12 43 12 51 12 59 13 09 13 19 13 30 13 44 13 59 14 18 14 40 15 10 15 56

21 13 22 13 28 13 35 13 42 13 50 13 59 14 08 14 19 14 31 14 45 15 02 15 22 15 47 16 22

22 14 09 14 14 14 20 14 26 14 33 14 40 14 48 14 57 15 07 15 19 15 32 15 47 16 06 16 30

23 14 50 14 54 14 59 15 04 15 09 15 14 15 21 15 27 15 35 15 43 15 53 16 04 16 17 16 32

24 15 27 15 30 15 33 15 36 15 39 15 43 15 47 15 52 15 57 16 02 16 08 16 15 16 23 16 33

25 16 01 16 02 16 04 16 05 16 07 16 09 16 11 16 13 16 15 16 18 16 21 16 24 16 27 16 32

.. .. indicates phenomenon will occur the next day.
58 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 24 3 46 3 32 3 20 3 11 3 03 2 56 2 43 2 32 2 22 2 12 2 01 1 48 1 41 1 33

25 4 07 3 58 3 52 3 46 3 41 3 37 3 29 3 23 3 16 3 10 3 03 2 56 2 51 2 46

26 4 25 4 23 4 21 4 19 4 17 4 16 4 14 4 11 4 10 4 08 4 06 4 03 4 02 4 00

27 4 43 4 46 4 49 4 51 4 53 4 55 4 57 5 00 5 02 5 05 5 08 5 11 5 13 5 15

28 5 02 5 11 5 18 5 24 5 29 5 34 5 42 5 49 5 56 6 02 6 10 6 18 6 23 6 29

29 5 24 5 38 5 50 5 59 6 08 6 15 6 28 6 39 6 50 7 00 7 12 7 25 7 33 7 42

30 5 49 6 09 6 25 6 38 6 49 6 59 7 16 7 31 7 45 7 59 8 14 8 31 8 41 8 53

31 6 22 6 47 7 06 7 22 7 35 7 47 8 06 8 24 8 40 8 57 9 14 9 35 9 47 10 00

Nov. 1 7 04 7 32 7 53 8 10 8 25 8 37 8 59 9 18 9 35 9 53 10 12 10 34 10 47 11 02

2 7 55 8 24 8 46 9 03 9 18 9 31 9 53 10 12 10 29 10 47 11 06 11 28 11 41 11 56

3 8 56 9 23 9 43 10 00 10 14 10 26 10 46 11 04 11 21 11 38 11 56 12 16 12 28 12 42

4 10 02 10 25 10 43 10 58 11 10 11 21 11 39 11 55 12 10 12 25 12 41 12 59 13 10 13 22

5 11 11 11 30 11 44 11 56 12 07 12 15 12 31 12 44 12 56 13 09 13 22 13 37 13 46 13 56

6 12 21 12 35 12 46 12 55 13 02 13 09 13 21 13 31 13 41 13 50 14 00 14 12 14 18 14 26

7 13 31 13 40 13 47 13 53 13 58 14 02 14 10 14 17 14 23 14 29 14 36 14 43 14 48 14 53

8 14 41 14 45 14 48 14 51 14 53 14 55 14 58 15 01 15 04 15 07 15 10 15 14 15 16 15 18

9 15 51 15 50 15 49 15 49 15 48 15 48 15 47 15 46 15 46 15 45 15 44 15 44 15 43 15 43

10 17 02 16 56 16 52 16 48 16 44 16 41 16 36 16 32 16 28 16 24 16 19 16 14 16 11 16 08

11 18 15 18 04 17 55 17 48 17 42 17 37 17 27 17 19 17 11 17 04 16 56 16 47 16 41 16 35

12 19 30 19 14 19 01 18 50 18 41 18 33 18 20 18 08 17 57 17 46 17 35 17 22 17 14 17 05

13 20 46 20 24 20 07 19 54 19 42 19 32 19 15 19 00 18 46 18 32 18 17 18 01 17 51 17 40

14 21 59 21 33 21 13 20 57 20 43 20 32 20 11 19 54 19 38 19 22 19 04 18 44 18 33 18 20

15 23 07 22 38 22 16 21 59 21 44 21 31 21 09 20 50 20 32 20 15 19 56 19 34 19 21 19 07

16 .. .. 23 36 23 14 22 56 22 41 22 28 22 06 21 46 21 29 21 11 20 51 20 29 20 16 20 02

17 0 05 .. .. .. .. 23 47 23 33 23 21 23 00 22 42 22 25 22 08 21 50 21 30 21 17 21 03

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 24 13 37 13 50 13 59 14 07 14 14 14 20 14 31 14 40 14 48 14 56 15 05 15 15 15 21 15 27

25 15 07 15 13 15 17 15 21 15 25 15 28 15 33 15 37 15 42 15 46 15 50 15 55 15 58 16 01

26 16 36 16 36 16 36 16 36 16 35 16 35 16 35 16 35 16 35 16 34 16 34 16 34 16 33 16 33

27 18 06 17 59 17 54 17 50 17 46 17 43 17 37 17 32 17 28 17 23 17 18 17 12 17 09 17 06

28 19 34 19 22 19 12 19 04 18 56 18 50 18 39 18 30 18 21 18 12 18 03 17 53 17 46 17 40

29 21 01 20 43 20 28 20 16 20 06 19 57 19 42 19 28 19 16 19 03 18 50 18 35 18 26 18 17

30 22 23 21 59 21 41 21 26 21 13 21 02 20 43 20 27 20 11 19 56 19 40 19 21 19 10 18 58

31 23 36 23 08 22 47 22 30 22 16 22 04 21 42 21 24 21 07 20 50 20 31 20 10 19 58 19 44

Nov. 1 .. .. .. .. 23 46 23 28 23 13 23 00 22 38 22 19 22 02 21 44 21 25 21 03 20 50 20 35

2 0 36 0 08 .. .. .. .. .. .. 23 52 23 30 23 12 22 55 22 37 22 18 21 57 21 44 21 30

3 1 24 0 56 0 35 0 19 0 04 .. .. .. .. .. .. 23 45 23 29 23 12 22 52 22 41 22 27

4 1 59 1 35 1 17 1 02 0 49 0 37 0 18 0 01 .. .. .. .. .. .. 23 47 23 37 23 26

5 2 26 2 07 1 51 1 38 1 27 1 18 1 01 0 46 0 33 0 19 0 04 .. .. .. .. .. ..

6 2 47 2 32 2 20 2 10 2 01 1 54 1 41 1 29 1 18 1 07 0 55 0 42 0 34 0 25

7 3 05 2 54 2 46 2 38 2 32 2 27 2 17 2 09 2 01 1 53 1 45 1 35 1 29 1 23

8 3 19 3 13 3 09 3 04 3 01 2 58 2 52 2 47 2 43 2 38 2 33 2 28 2 24 2 21

9 3 33 3 32 3 30 3 29 3 29 3 28 3 26 3 25 3 24 3 23 3 22 3 20 3 19 3 18

10 3 47 3 50 3 52 3 54 3 56 3 58 4 01 4 03 4 06 4 08 4 11 4 13 4 15 4 17

11 4 01 4 09 4 15 4 20 4 25 4 29 4 36 4 42 4 48 4 54 5 01 5 08 5 12 5 17

12 4 17 4 30 4 40 4 49 4 56 5 03 5 14 5 24 5 33 5 42 5 52 6 04 6 10 6 18

13 4 37 4 55 5 09 5 21 5 31 5 39 5 54 6 08 6 20 6 33 6 46 7 01 7 10 7 21

14 5 03 5 25 5 43 5 58 6 10 6 21 6 39 6 55 7 10 7 26 7 42 8 01 8 11 8 24

15 5 37 6 04 6 24 6 41 6 55 7 07 7 28 7 47 8 04 8 21 8 39 9 00 9 12 9 27

16 6 23 6 52 7 14 7 32 7 47 8 00 8 22 8 41 8 59 9 17 9 36 9 58 10 11 10 26

17 7 22 7 50 8 12 8 30 8 45 8 57 9 19 9 38 9 56 10 13 10 32 10 54 11 06 11 21

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 59

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 24 1 33 1 29 1 25 1 21 1 16 1 11 1 05 0 59 0 52 0 45 0 36 0 26 0 14 0 00

25 2 46 2 44 2 42 2 39 2 36 2 33 2 30 2 26 2 22 2 18 2 13 2 07 2 01 1 53

26 4 00 4 00 3 59 3 58 3 57 3 57 3 56 3 54 3 53 3 52 3 51 3 49 3 47 3 45

27 5 15 5 15 5 16 5 18 5 19 5 20 5 21 5 23 5 24 5 26 5 28 5 30 5 33 5 36

28 6 29 6 31 6 34 6 37 6 40 6 43 6 47 6 51 6 55 7 00 7 06 7 12 7 20 7 28

29 7 42 7 46 7 50 7 54 7 59 8 05 8 11 8 17 8 25 8 33 8 42 8 53 9 06 9 22

30 8 53 8 58 9 04 9 10 9 16 9 24 9 32 9 41 9 51 10 02 10 15 10 31 10 51 11 15

31 10 00 10 06 10 13 10 20 10 28 10 37 10 46 10 57 11 10 11 24 11 41 12 01 12 28 13 05

Nov. 1 11 02 11 08 11 15 11 23 11 32 11 41 11 52 12 03 12 17 12 33 12 52 13 15 13 47 14 38

2 11 56 12 02 12 10 12 17 12 26 12 35 12 46 12 57 13 11 13 26 13 45 14 08 14 39 15 27

3 12 42 12 48 12 55 13 02 13 10 13 19 13 28 13 39 13 51 14 05 14 21 14 41 15 06 15 41

4 13 22 13 27 13 33 13 39 13 46 13 53 14 01 14 11 14 21 14 32 14 46 15 01 15 21 15 45

5 13 56 14 00 14 05 14 10 14 15 14 21 14 28 14 35 14 43 14 52 15 02 15 14 15 28 15 45

6 14 26 14 29 14 32 14 36 14 40 14 45 14 50 14 55 15 01 15 07 15 15 15 23 15 33 15 44

7 14 53 14 55 14 57 15 00 15 02 15 05 15 08 15 12 15 15 15 20 15 24 15 30 15 36 15 43

8 15 18 15 19 15 20 15 21 15 22 15 24 15 25 15 27 15 28 15 30 15 32 15 35 15 38 15 41

9 15 43 15 43 15 43 15 42 15 42 15 42 15 42 15 41 15 41 15 41 15 40 15 40 15 39 15 39

10 16 08 16 07 16 05 16 04 16 02 16 00 15 58 15 56 15 54 15 51 15 48 15 45 15 41 15 37

11 16 35 16 33 16 30 16 27 16 24 16 20 16 17 16 13 16 08 16 03 15 57 15 51 15 44 15 35

12 17 05 17 02 16 58 16 53 16 49 16 43 16 38 16 32 16 25 16 17 16 09 15 59 15 48 15 34

13 17 40 17 35 17 30 17 24 17 18 17 11 17 04 16 56 16 46 16 36 16 24 16 11 15 54 15 34

14 18 20 18 14 18 08 18 01 17 53 17 45 17 36 17 26 17 15 17 02 16 47 16 29 16 06 15 37

15 19 07 19 00 18 53 18 46 18 37 18 28 18 18 18 07 17 54 17 39 17 21 16 59 16 30 15 48

16 20 02 19 55 19 48 19 40 19 31 19 22 19 11 19 00 18 46 18 30 18 11 17 48 17 16 16 26

17 21 03 20 57 20 50 20 43 20 35 20 26 20 16 20 05 19 52 19 38 19 20 18 59 18 31 17 51

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Oct. 24 15 27 15 30 15 33 15 36 15 39 15 43 15 47 15 52 15 57 16 02 16 08 16 15 16 23 16 33

25 16 01 16 02 16 04 16 05 16 07 16 09 16 11 16 13 16 15 16 18 16 21 16 24 16 27 16 32

26 16 33 16 33 16 33 16 33 16 33 16 33 16 32 16 32 16 32 16 32 16 31 16 31 16 31 16 30

27 17 06 17 04 17 02 17 01 16 59 16 56 16 54 16 52 16 49 16 46 16 42 16 39 16 34 16 29

28 17 40 17 37 17 33 17 30 17 26 17 22 17 18 17 13 17 07 17 01 16 55 16 47 16 38 16 28

29 18 17 18 12 18 07 18 02 17 57 17 51 17 44 17 37 17 29 17 20 17 10 16 58 16 44 16 28

30 18 58 18 52 18 46 18 40 18 33 18 25 18 17 18 07 17 57 17 45 17 31 17 15 16 54 16 29

31 19 44 19 37 19 30 19 23 19 15 19 06 18 56 18 45 18 33 18 18 18 01 17 40 17 13 16 35

Nov. 1 20 35 20 28 20 21 20 13 20 04 19 55 19 44 19 32 19 19 19 03 18 44 18 20 17 49 16 57

2 21 30 21 23 21 16 21 08 21 00 20 51 20 40 20 29 20 16 20 00 19 42 19 19 18 48 18 00

3 22 27 22 21 22 15 22 08 22 00 21 52 21 43 21 32 21 20 21 07 20 51 20 31 20 06 19 32

4 23 26 23 21 23 15 23 09 23 03 22 56 22 48 22 40 22 30 22 19 22 06 21 51 21 32 21 08

5 .. .. .. .. .. .. .. .. .. .. .. .. 23 55 23 48 23 41 23 32 23 23 23 12 22 58 22 42

6 0 25 0 21 0 16 0 12 0 07 0 01 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

7 1 23 1 20 1 17 1 14 1 10 1 06 1 02 0 57 0 52 0 46 0 40 0 32 0 23 0 13

8 2 21 2 19 2 17 2 15 2 13 2 11 2 09 2 06 2 03 2 00 1 56 1 52 1 47 1 41

9 3 18 3 18 3 18 3 17 3 17 3 16 3 15 3 15 3 14 3 13 3 12 3 11 3 10 3 08

10 4 17 4 18 4 19 4 20 4 21 4 22 4 23 4 24 4 26 4 27 4 29 4 31 4 34 4 36

11 5 17 5 19 5 21 5 23 5 26 5 29 5 32 5 35 5 39 5 43 5 48 5 53 5 59 6 06

12 6 18 6 21 6 25 6 29 6 33 6 37 6 42 6 48 6 54 7 01 7 09 7 18 7 28 7 40

13 7 21 7 25 7 30 7 35 7 41 7 47 7 54 8 02 8 10 8 20 8 31 8 44 9 00 9 19

14 8 24 8 30 8 36 8 42 8 49 8 57 9 06 9 15 9 26 9 39 9 54 10 11 10 33 11 02

15 9 27 9 33 9 40 9 47 9 55 10 04 10 14 10 26 10 38 10 53 11 11 11 33 12 01 12 43

16 10 26 10 33 10 40 10 48 10 56 11 06 11 16 11 28 11 42 11 58 12 16 12 40 13 11 14 01

17 11 21 11 27 11 34 11 42 11 50 11 59 12 09 12 20 12 33 12 48 13 05 13 27 13 55 14 35

.. .. indicates phenomenon will occur the next day.
60 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Nov. 16 .. .. 23 36 23 14 22 56 22 41 22 28 22 06 21 46 21 29 21 11 20 51 20 29 20 16 20 02

17 0 05 .. .. .. .. 23 47 23 33 23 21 23 00 22 42 22 25 22 08 21 50 21 30 21 17 21 03

18 0 50 0 24 0 04 .. .. .. .. .. .. 23 52 23 36 23 22 23 07 22 51 22 33 22 22 22 10

19 1 25 1 03 0 46 0 32 0 20 0 10 .. .. .. .. .. .. .. .. 23 52 23 38 23 29 23 20

20 1 52 1 35 1 22 1 12 1 02 0 54 0 40 0 28 0 16 0 04 .. .. .. .. .. .. .. ..

21 2 13 2 02 1 54 1 47 1 40 1 35 1 25 1 17 1 09 1 01 0 53 0 43 0 37 0 31

22 2 31 2 26 2 22 2 19 2 16 2 13 2 08 2 04 2 01 1 57 1 53 1 48 1 45 1 42

23 2 48 2 49 2 49 2 50 2 50 2 50 2 51 2 51 2 52 2 52 2 52 2 53 2 53 2 54

24 3 06 3 12 3 17 3 21 3 24 3 28 3 33 3 38 3 43 3 48 3 53 3 58 4 02 4 06

25 3 25 3 36 3 46 3 54 4 01 4 07 4 17 4 26 4 35 4 44 4 53 5 04 5 11 5 18

26 3 47 4 05 4 19 4 30 4 40 4 48 5 03 5 17 5 29 5 41 5 55 6 10 6 19 6 30

27 4 16 4 39 4 56 5 11 5 23 5 34 5 53 6 09 6 24 6 40 6 56 7 15 7 27 7 39

28 4 53 5 20 5 40 5 57 6 11 6 24 6 45 7 03 7 20 7 38 7 56 8 18 8 30 8 45

29 5 40 6 09 6 31 6 49 7 04 7 17 7 39 7 58 8 16 8 34 8 53 9 16 9 29 9 44

30 6 38 7 06 7 28 7 45 8 00 8 12 8 34 8 53 9 10 9 28 9 46 10 08 10 21 10 35

Dec. 1 7 44 8 09 8 28 8 44 8 57 9 09 9 28 9 46 10 01 10 17 10 34 10 54 11 05 11 18

2 8 53 9 14 9 30 9 44 9 55 10 05 10 21 10 36 10 50 11 03 11 18 11 35 11 44 11 55

3 10 04 10 20 10 32 10 43 10 52 10 59 11 13 11 24 11 35 11 46 11 58 12 11 12 18 12 27

4 11 14 11 25 11 34 11 41 11 48 11 53 12 02 12 11 12 18 12 26 12 34 12 44 12 49 12 55

5 12 24 12 30 12 35 12 39 12 43 12 46 12 51 12 56 13 00 13 05 13 09 13 14 13 17 13 21

6 13 34 13 35 13 36 13 37 13 38 13 38 13 39 13 40 13 41 13 42 13 43 13 44 13 45 13 46

7 14 44 14 41 14 38 14 35 14 33 14 31 14 28 14 25 14 23 14 20 14 17 14 14 14 12 14 10

8 15 56 15 48 15 41 15 35 15 30 15 25 15 18 15 11 15 05 14 59 14 53 14 45 14 41 14 36

9 17 11 16 57 16 46 16 36 16 29 16 22 16 10 16 00 15 50 15 41 15 30 15 19 15 12 15 05

10 18 27 18 08 17 52 17 40 17 29 17 20 17 04 16 51 16 38 16 25 16 12 15 56 15 47 15 37

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Nov. 16 6 23 6 52 7 14 7 32 7 47 8 00 8 22 8 41 8 59 9 17 9 36 9 58 10 11 10 26

17 7 22 7 50 8 12 8 30 8 45 8 57 9 19 9 38 9 56 10 13 10 32 10 54 11 06 11 21

18 8 33 8 59 9 18 9 34 9 48 9 59 10 19 10 36 10 52 11 08 11 25 11 45 11 56 12 09

19 9 53 10 14 10 30 10 43 10 54 11 04 11 20 11 34 11 48 12 01 12 15 12 31 12 40 12 51

20 11 18 11 32 11 44 11 54 12 02 12 09 12 21 12 32 12 41 12 51 13 02 13 13 13 20 13 28

21 12 44 12 52 12 59 13 05 13 10 13 14 13 21 13 28 13 34 13 39 13 46 13 53 13 57 14 01

22 14 10 14 13 14 15 14 16 14 18 14 19 14 21 14 23 14 25 14 26 14 28 14 30 14 31 14 33

23 15 37 15 33 15 30 15 28 15 26 15 24 15 21 15 18 15 16 15 13 15 10 15 07 15 05 15 03

24 17 04 16 54 16 46 16 40 16 35 16 30 16 22 16 14 16 07 16 01 15 53 15 45 15 41 15 35

25 18 30 18 15 18 02 17 52 17 43 17 36 17 23 17 11 17 01 16 50 16 39 16 26 16 18 16 10

26 19 55 19 34 19 17 19 03 18 52 18 42 18 24 18 09 17 55 17 41 17 26 17 09 16 59 16 48

27 21 14 20 47 20 27 20 11 19 57 19 46 19 25 19 08 18 51 18 35 18 17 17 57 17 45 17 32

28 22 22 21 53 21 31 21 14 20 59 20 46 20 24 20 05 19 47 19 29 19 10 18 48 18 36 18 21

29 23 17 22 48 22 27 22 09 21 54 21 41 21 19 21 00 20 42 20 24 20 05 19 43 19 30 19 15

30 23 58 23 33 23 13 22 56 22 43 22 31 22 10 21 52 21 35 21 18 21 00 20 39 20 27 20 13

Dec. 1 .. .. .. .. 23 51 23 36 23 24 23 14 22 56 22 40 22 25 22 10 21 54 21 36 21 25 21 12

2 0 29 0 08 .. .. .. .. .. .. 23 52 23 37 23 24 23 12 23 00 22 46 22 31 22 22 22 12

3 0 53 0 36 0 22 0 11 0 01 .. .. .. .. .. .. 23 56 23 47 23 37 23 25 23 19 23 11

4 1 12 0 59 0 49 0 40 0 33 0 27 0 16 0 06 .. .. .. .. .. .. .. .. .. .. .. ..

5 1 27 1 19 1 13 1 07 1 03 0 58 0 51 0 45 0 39 0 33 0 26 0 19 0 14 0 09

6 1 41 1 37 1 35 1 32 1 30 1 29 1 25 1 23 1 20 1 17 1 14 1 11 1 09 1 07

7 1 54 1 55 1 56 1 57 1 58 1 58 1 59 2 00 2 01 2 02 2 03 2 04 2 04 2 05

8 2 08 2 14 2 18 2 22 2 26 2 29 2 34 2 38 2 43 2 47 2 52 2 57 3 00 3 04

9 2 23 2 33 2 42 2 49 2 55 3 01 3 10 3 19 3 26 3 34 3 43 3 52 3 58 4 04

10 2 41 2 57 3 09 3 19 3 28 3 36 3 50 4 01 4 13 4 24 4 36 4 49 4 57 5 07

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 61

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Nov. 16 20 02 19 55 19 48 19 40 19 31 19 22 19 11 19 00 18 46 18 30 18 11 17 48 17 16 16 26

17 21 03 20 57 20 50 20 43 20 35 20 26 20 16 20 05 19 52 19 38 19 20 18 59 18 31 17 51

18 22 10 22 05 21 59 21 52 21 46 21 38 21 30 21 20 21 10 20 58 20 44 20 27 20 06 19 39

19 23 20 23 16 23 11 23 06 23 01 22 55 22 49 22 42 22 34 22 25 22 15 22 03 21 49 21 31

20 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 23 55 23 48 23 41 23 32 23 22

21 0 31 0 28 0 25 0 22 0 18 0 14 0 10 0 06 0 00 .. .. .. .. .. .. .. .. .. ..

22 1 42 1 41 1 40 1 38 1 36 1 35 1 33 1 30 1 28 1 25 1 22 1 19 1 15 1 11

23 2 54 2 54 2 54 2 54 2 55 2 55 2 55 2 56 2 56 2 56 2 57 2 57 2 58 2 58

24 4 06 4 08 4 09 4 11 4 13 4 16 4 18 4 21 4 24 4 28 4 32 4 36 4 41 4 47

25 5 18 5 21 5 25 5 28 5 32 5 37 5 42 5 47 5 53 5 59 6 07 6 16 6 26 6 38

26 6 30 6 34 6 39 6 45 6 50 6 57 7 04 7 12 7 20 7 30 7 42 7 55 8 11 8 31

27 7 39 7 45 7 51 7 58 8 05 8 14 8 22 8 32 8 44 8 57 9 12 9 31 9 54 10 25

28 8 45 8 51 8 58 9 06 9 14 9 24 9 34 9 46 9 59 10 14 10 33 10 55 11 26 12 13

29 9 44 9 51 9 58 10 06 10 15 10 24 10 35 10 47 11 01 11 17 11 36 12 01 12 33 13 29

30 10 35 10 42 10 49 10 56 11 04 11 13 11 24 11 35 11 48 12 03 12 21 12 43 13 12 13 54

Dec. 1 11 18 11 24 11 31 11 37 11 45 11 53 12 02 12 12 12 23 12 36 12 51 13 09 13 31 14 00

2 11 55 12 00 12 05 12 11 12 17 12 24 12 31 12 39 12 48 12 59 13 10 13 24 13 40 14 00

3 12 27 12 31 12 35 12 39 12 44 12 49 12 55 13 01 13 08 13 15 13 24 13 34 13 46 13 59

4 12 55 12 58 13 01 13 04 13 07 13 11 13 14 13 19 13 23 13 29 13 34 13 41 13 49 13 58

5 13 21 13 22 13 24 13 26 13 28 13 30 13 32 13 34 13 37 13 40 13 43 13 46 13 51 13 55

6 13 46 13 46 13 46 13 47 13 47 13 48 13 48 13 49 13 49 13 50 13 50 13 51 13 52 13 53

7 14 10 14 10 14 09 14 08 14 07 14 05 14 04 14 03 14 01 14 00 13 58 13 56 13 54 13 51

8 14 36 14 34 14 32 14 30 14 27 14 25 14 22 14 18 14 15 14 11 14 06 14 01 13 56 13 49

9 15 05 15 02 14 58 14 54 14 50 14 46 14 41 14 36 14 30 14 24 14 16 14 08 13 59 13 47

10 15 37 15 33 15 28 15 23 15 17 15 11 15 05 14 58 14 49 14 40 14 30 14 18 14 04 13 46

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Nov. 16 10 26 10 33 10 40 10 48 10 56 11 06 11 16 11 28 11 42 11 58 12 16 12 40 13 11 14 01

17 11 21 11 27 11 34 11 42 11 50 11 59 12 09 12 20 12 33 12 48 13 05 13 27 13 55 14 35

18 12 09 12 15 12 21 12 27 12 35 12 42 12 51 13 01 13 12 13 24 13 39 13 56 14 18 14 45

19 12 51 12 55 13 00 13 06 13 12 13 18 13 25 13 33 13 41 13 51 14 02 14 14 14 29 14 48

20 13 28 13 31 13 35 13 39 13 43 13 47 13 52 13 58 14 04 14 10 14 18 14 26 14 36 14 48

21 14 01 14 03 14 05 14 08 14 10 14 13 14 15 14 18 14 22 14 26 14 30 14 35 14 40 14 46

22 14 33 14 33 14 34 14 34 14 35 14 36 14 36 14 37 14 38 14 39 14 40 14 42 14 43 14 45

23 15 03 15 02 15 02 15 00 14 59 14 58 14 57 14 55 14 54 14 52 14 50 14 48 14 46 14 43

24 15 35 15 33 15 30 15 28 15 25 15 22 15 18 15 15 15 11 15 06 15 01 14 55 14 49 14 41

25 16 10 16 06 16 02 15 58 15 53 15 48 15 42 15 36 15 30 15 22 15 14 15 04 14 53 14 40

26 16 48 16 43 16 38 16 32 16 26 16 19 16 11 16 03 15 54 15 43 15 31 15 17 15 00 14 39

27 17 32 17 26 17 19 17 12 17 04 16 56 16 47 16 36 16 25 16 11 15 55 15 36 15 13 14 41

28 18 21 18 14 18 07 17 59 17 51 17 41 17 31 17 19 17 06 16 50 16 32 16 08 15 38 14 51

29 19 15 19 08 19 01 18 53 18 44 18 35 18 24 18 12 17 58 17 42 17 23 16 59 16 26 15 30

30 20 13 20 06 20 00 19 52 19 44 19 35 19 25 19 14 19 01 18 46 18 29 18 07 17 39 16 57

Dec. 1 21 12 21 07 21 01 20 54 20 47 20 40 20 31 20 21 20 11 19 58 19 44 19 26 19 05 18 36

2 22 12 22 08 22 03 21 57 21 52 21 46 21 39 21 31 21 22 21 13 21 02 20 49 20 33 20 14

3 23 11 23 08 23 04 23 00 22 56 22 51 22 46 22 41 22 35 22 28 22 20 22 11 22 00 21 47

4 .. .. .. .. .. .. .. .. 23 59 23 57 23 53 23 50 23 46 23 41 23 37 23 31 23 24 23 17

5 0 09 0 07 0 05 0 02 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

6 1 07 1 06 1 05 1 04 1 03 1 01 1 00 0 58 0 57 0 55 0 53 0 50 0 47 0 44

7 2 05 2 05 2 05 2 06 2 06 2 06 2 07 2 07 2 08 2 08 2 09 2 10 2 10 2 11

8 3 04 3 05 3 07 3 09 3 11 3 13 3 15 3 17 3 20 3 23 3 26 3 30 3 35 3 40

9 4 04 4 07 4 10 4 13 4 17 4 20 4 25 4 29 4 34 4 40 4 46 4 54 5 02 5 12

10 5 07 5 11 5 15 5 20 5 25 5 30 5 36 5 43 5 51 5 59 6 09 6 20 6 33 6 50

.. .. indicates phenomenon will occur the next day.
62 MOONRISE AND MOONSET, 2019

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. −55◦ −50◦ −45◦ −40◦ −35◦ −30◦ −20◦ −10◦ 0

◦ +10◦ +20◦ +30◦ +35◦ +40◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Dec. 9 17 11 16 57 16 46 16 36 16 29 16 22 16 10 16 00 15 50 15 41 15 30 15 19 15 12 15 05

10 18 27 18 08 17 52 17 40 17 29 17 20 17 04 16 51 16 38 16 25 16 12 15 56 15 47 15 37

11 19 43 19 19 19 00 18 45 18 32 18 20 18 01 17 45 17 29 17 14 16 57 16 39 16 28 16 15

12 20 56 20 27 20 06 19 48 19 34 19 21 19 00 18 41 18 24 18 07 17 48 17 27 17 15 17 00

13 21 59 21 30 21 07 20 49 20 34 20 21 19 58 19 39 19 21 19 03 18 44 18 21 18 08 17 54

14 22 50 22 22 22 01 21 44 21 30 21 17 20 55 20 37 20 19 20 02 19 43 19 22 19 09 18 54

15 23 29 23 05 22 47 22 32 22 19 22 08 21 49 21 33 21 17 21 01 20 45 20 25 20 14 20 01

16 23 58 23 40 23 26 23 14 23 03 22 54 22 39 22 25 22 13 22 00 21 46 21 31 21 22 21 11

17 .. .. .. .. 23 58 23 50 23 43 23 36 23 25 23 15 23 06 22 57 22 47 22 36 22 29 22 22

18 0 21 0 08 .. .. .. .. .. .. .. .. .. .. .. .. 23 58 23 52 23 47 23 41 23 37 23 33

19 0 39 0 32 0 27 0 22 0 18 0 15 0 08 0 03 .. .. .. .. .. .. .. .. .. .. .. ..

20 0 56 0 55 0 54 0 53 0 52 0 51 0 50 0 49 0 48 0 47 0 45 0 44 0 44 0 43

21 1 13 1 17 1 20 1 23 1 25 1 27 1 31 1 34 1 37 1 40 1 44 1 48 1 50 1 53

22 1 30 1 39 1 47 1 53 1 59 2 04 2 13 2 20 2 27 2 35 2 42 2 51 2 57 3 02

23 1 50 2 05 2 17 2 27 2 36 2 43 2 56 3 08 3 19 3 30 3 42 3 55 4 03 4 12

24 2 15 2 35 2 51 3 05 3 16 3 26 3 43 3 58 4 12 4 26 4 42 4 59 5 10 5 21

25 2 47 3 12 3 32 3 48 4 01 4 13 4 33 4 51 5 07 5 24 5 41 6 02 6 14 6 28

26 3 29 3 57 4 19 4 36 4 51 5 04 5 26 5 45 6 03 6 20 6 40 7 02 7 15 7 30

27 4 22 4 51 5 13 5 31 5 45 5 58 6 21 6 40 6 58 7 15 7 35 7 57 8 10 8 25

28 5 25 5 52 6 12 6 29 6 43 6 55 7 16 7 34 7 51 8 07 8 25 8 46 8 58 9 12

29 6 34 6 57 7 14 7 29 7 41 7 52 8 10 8 26 8 41 8 56 9 12 9 30 9 40 9 52

30 7 45 8 03 8 18 8 29 8 39 8 48 9 03 9 16 9 28 9 40 9 53 10 08 10 17 10 26

31 8 56 9 10 9 20 9 29 9 36 9 43 9 54 10 04 10 13 10 22 10 32 10 43 10 49 10 56

32 10 07 10 15 10 22 10 27 10 32 10 36 10 43 10 49 10 55 11 01 11 07 11 14 11 18 11 23

33 11 16 11 20 11 22 11 25 11 27 11 28 11 31 11 34 11 36 11 39 11 41 11 44 11 46 11 48

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Dec. 9 2 23 2 33 2 42 2 49 2 55 3 01 3 10 3 19 3 26 3 34 3 43 3 52 3 58 4 04

10 2 41 2 57 3 09 3 19 3 28 3 36 3 50 4 01 4 13 4 24 4 36 4 49 4 57 5 07

11 3 04 3 25 3 41 3 54 4 06 4 16 4 33 4 48 5 02 5 16 5 31 5 49 5 59 6 11

12 3 34 4 00 4 19 4 35 4 49 5 01 5 21 5 39 5 55 6 11 6 29 6 50 7 01 7 15

13 4 16 4 45 5 07 5 24 5 39 5 52 6 14 6 33 6 51 7 09 7 28 7 50 8 03 8 18

14 5 12 5 41 6 03 6 21 6 36 6 49 7 12 7 31 7 49 8 07 8 26 8 48 9 01 9 16

15 6 21 6 48 7 09 7 25 7 39 7 52 8 12 8 30 8 47 9 04 9 21 9 42 9 54 10 07

16 7 40 8 03 8 20 8 34 8 46 8 56 9 14 9 30 9 44 9 58 10 13 10 31 10 41 10 52

17 9 05 9 21 9 34 9 45 9 54 10 02 10 16 10 27 10 39 10 49 11 01 11 14 11 22 11 31

18 10 30 10 40 10 49 10 56 11 02 11 07 11 16 11 24 11 31 11 38 11 46 11 54 11 59 12 05

19 11 55 12 00 12 03 12 06 12 09 12 11 12 15 12 18 12 21 12 25 12 28 12 31 12 34 12 36

20 13 20 13 18 13 17 13 16 13 15 13 15 13 13 13 12 13 11 13 10 13 09 13 08 13 07 13 06

21 14 44 14 37 14 31 14 26 14 22 14 18 14 12 14 06 14 01 13 56 13 50 13 44 13 40 13 36

22 16 08 15 55 15 44 15 36 15 28 15 22 15 11 15 01 14 52 14 43 14 33 14 22 14 15 14 08

23 17 32 17 13 16 58 16 45 16 35 16 26 16 10 15 57 15 44 15 31 15 18 15 03 14 54 14 44

24 18 52 18 27 18 09 17 53 17 41 17 29 17 10 16 54 16 38 16 23 16 06 15 47 15 36 15 24

25 20 04 19 36 19 15 18 58 18 44 18 31 18 10 17 51 17 34 17 16 16 58 16 36 16 24 16 10

26 21 05 20 36 20 14 19 57 19 42 19 29 19 06 18 47 18 29 18 11 17 52 17 29 17 16 17 01

27 21 53 21 26 21 05 20 48 20 33 20 21 19 59 19 41 19 23 19 06 18 47 18 25 18 13 17 58

28 22 29 22 05 21 47 21 32 21 19 21 07 20 48 20 31 20 15 19 59 19 42 19 22 19 11 18 57

29 22 56 22 37 22 21 22 09 21 58 21 48 21 32 21 18 21 04 20 50 20 36 20 19 20 09 19 58

30 23 17 23 02 22 50 22 41 22 32 22 25 22 12 22 01 21 50 21 39 21 28 21 15 21 07 20 58

31 23 33 23 24 23 15 23 09 23 03 22 58 22 49 22 41 22 33 22 26 22 18 22 08 22 03 21 57

32 23 48 23 42 23 38 23 34 23 31 23 28 23 24 23 19 23 15 23 11 23 06 23 01 22 58 22 55

33 .. .. .. .. .. .. 23 59 23 58 23 58 23 57 23 57 23 56 23 55 23 54 23 53 23 53 23 52

.. .. indicates phenomenon will occur the next day.
MOONRISE AND MOONSET, 2019 63

UNIVERSAL TIME FOR MERIDIAN OF GREENWICH

MOONRISE

Lat. +40◦ +42◦ +44◦ +46◦ +48◦ +50◦ +52◦ +54◦ +56◦ +58◦ +60◦ +62◦ +64◦ +66◦

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Dec. 9 15 05 15 02 14 58 14 54 14 50 14 46 14 41 14 36 14 30 14 24 14 16 14 08 13 59 13 47

10 15 37 15 33 15 28 15 23 15 17 15 11 15 05 14 58 14 49 14 40 14 30 14 18 14 04 13 46

11 16 15 16 10 16 04 15 58 15 51 15 43 15 35 15 25 15 15 15 03 14 49 14 33 14 13 13 48

12 17 00 16 54 16 47 16 40 16 32 16 23 16 13 16 02 15 50 15 35 15 18 14 57 14 31 13 54

13 17 54 17 47 17 40 17 32 17 23 17 14 17 03 16 51 16 38 16 22 16 03 15 39 15 08 14 18

14 18 54 18 48 18 41 18 33 18 25 18 16 18 05 17 54 17 41 17 25 17 07 16 44 16 14 15 29

15 20 01 19 55 19 49 19 42 19 35 19 27 19 18 19 08 18 56 18 43 18 28 18 09 17 46 17 15

16 21 11 21 06 21 01 20 56 20 50 20 44 20 37 20 29 20 20 20 10 19 59 19 45 19 29 19 09

17 22 22 22 19 22 15 22 11 22 07 22 03 21 58 21 53 21 47 21 40 21 32 21 23 21 13 21 01

18 23 33 23 31 23 29 23 27 23 25 23 22 23 19 23 16 23 13 23 10 23 05 23 01 22 55 22 49

19 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

20 0 43 0 43 0 42 0 42 0 41 0 41 0 40 0 40 0 39 0 39 0 38 0 37 0 36 0 35

21 1 53 1 54 1 55 1 56 1 58 1 59 2 01 2 03 2 05 2 07 2 10 2 13 2 16 2 20

22 3 02 3 05 3 08 3 11 3 14 3 18 3 22 3 26 3 31 3 36 3 42 3 49 3 57 4 06

23 4 12 4 16 4 21 4 25 4 30 4 36 4 42 4 49 4 56 5 05 5 15 5 26 5 39 5 55

24 5 21 5 27 5 32 5 39 5 45 5 53 6 01 6 10 6 20 6 32 6 45 7 01 7 21 7 47

25 6 28 6 34 6 41 6 48 6 56 7 05 7 15 7 26 7 38 7 53 8 10 8 31 8 58 9 38

26 7 30 7 36 7 44 7 52 8 00 8 10 8 20 8 32 8 46 9 02 9 22 9 46 10 18 11 13

27 8 25 8 31 8 39 8 46 8 55 9 04 9 15 9 27 9 40 9 56 10 15 10 39 11 10 12 00

28 9 12 9 18 9 25 9 32 9 40 9 49 9 58 10 09 10 21 10 35 10 51 11 11 11 37 12 11

29 9 52 9 57 10 03 10 09 10 16 10 23 10 32 10 40 10 51 11 02 11 15 11 31 11 50 12 14

30 10 26 10 31 10 35 10 40 10 46 10 51 10 58 11 05 11 13 11 21 11 31 11 43 11 57 12 13

31 10 56 10 59 11 03 11 06 11 10 11 14 11 19 11 24 11 30 11 36 11 43 11 51 12 00 12 11

32 11 23 11 25 11 27 11 29 11 32 11 34 11 37 11 40 11 44 11 48 11 52 11 57 12 03 12 09

33 11 48 11 49 11 49 11 50 11 51 11 53 11 54 11 55 11 57 11 58 12 00 12 02 12 04 12 07

MOONSET

h m h m h m h m h m h m h m h m h m h m h m h m h m h m

Dec. 9 4 04 4 07 4 10 4 13 4 17 4 20 4 25 4 29 4 34 4 40 4 46 4 54 5 02 5 12

10 5 07 5 11 5 15 5 20 5 25 5 30 5 36 5 43 5 51 5 59 6 09 6 20 6 33 6 50

11 6 11 6 16 6 22 6 28 6 34 6 41 6 49 6 58 7 08 7 20 7 33 7 49 8 08 8 33

12 7 15 7 21 7 28 7 35 7 43 7 52 8 01 8 12 8 24 8 38 8 55 9 15 9 41 10 18

13 8 18 8 24 8 32 8 39 8 48 8 57 9 08 9 20 9 33 9 49 10 08 10 31 11 03 11 52

14 9 16 9 22 9 29 9 37 9 46 9 55 10 05 10 17 10 30 10 46 11 04 11 27 11 57 12 43

15 10 07 10 13 10 20 10 27 10 34 10 43 10 52 11 03 11 14 11 28 11 44 12 03 12 26 12 58

16 10 52 10 57 11 02 11 08 11 15 11 21 11 29 11 37 11 47 11 57 12 10 12 24 12 41 13 02

17 11 31 11 34 11 38 11 43 11 47 11 53 11 58 12 04 12 11 12 19 12 27 12 37 12 48 13 02

18 12 05 12 07 12 10 12 12 12 15 12 19 12 22 12 26 12 30 12 35 12 40 12 46 12 53 13 01

19 12 36 12 37 12 38 12 39 12 40 12 42 12 43 12 45 12 47 12 49 12 51 12 53 12 56 12 59

20 13 06 13 06 13 05 13 05 13 04 13 04 13 03 13 03 13 02 13 01 13 00 12 59 12 58 12 57

21 13 36 13 34 13 32 13 30 13 28 13 26 13 23 13 20 13 17 13 14 13 10 13 06 13 01 12 55

22 14 08 14 05 14 02 13 58 13 54 13 50 13 45 13 40 13 35 13 28 13 21 13 13 13 04 12 53

23 14 44 14 39 14 34 14 29 14 24 14 18 14 11 14 04 13 55 13 46 13 36 13 24 13 09 12 52

24 15 24 15 18 15 12 15 06 14 59 14 51 14 42 14 33 14 22 14 10 13 56 13 39 13 18 12 52

25 16 10 16 03 15 56 15 49 15 41 15 32 15 22 15 10 14 58 14 43 14 25 14 04 13 36 12 57

26 17 01 16 55 16 47 16 39 16 31 16 21 16 10 15 58 15 44 15 28 15 09 14 45 14 12 13 17

27 17 58 17 51 17 44 17 36 17 28 17 19 17 08 16 57 16 43 16 27 16 09 15 45 15 14 14 24

28 18 57 18 51 18 45 18 38 18 30 18 22 18 13 18 02 17 51 17 37 17 21 17 01 16 36 16 02

29 19 58 19 53 19 48 19 42 19 35 19 28 19 21 19 12 19 03 18 52 18 39 18 24 18 06 17 43

30 20 58 20 54 20 50 20 45 20 41 20 35 20 29 20 23 20 16 20 07 19 58 19 47 19 35 19 19

31 21 57 21 54 21 51 21 48 21 45 21 41 21 37 21 33 21 28 21 22 21 16 21 09 21 01 20 51

32 22 55 22 53 22 52 22 50 22 48 22 46 22 44 22 42 22 39 22 36 22 33 22 29 22 25 22 19

33 23 52 23 52 23 52 23 52 23 51 23 51 23 50 23 50 23 50 23 49 23 48 23 48 23 47 23 46

.. .. indicates phenomenon will occur the next day.
64 ECLIPSES, 2019

CONTENTS OF THE ECLIPSE SECTION

Explanatory Text

Solar Eclipses ....................................................................................................... 65

Lunar Eclipses...................................................................................................... 68

January 5-6: Partial Solar Eclipse

Circumstances and Besselian elements................................................................. 70

Eclipse Map.......................................................................................................... 71

January 21: Total Lunar Eclipse ................................................................................ 72

July 2: Total Solar Eclipse

Circumstances and Besselian elements................................................................. 73

Eclipse Map.......................................................................................................... 74

Table of Path of Central Phase............................................................................. 75

July 16-17: Partial Lunar Eclipse .............................................................................. 77

December 26: Annular Solar Eclipse

Circumstances and Besselian elements................................................................. 78

Eclipse Map.......................................................................................................... 79

Table of Path of Central Phase............................................................................. 80

SUMMARY OF ECLIPSES AND TRANSITS FOR 2019

There are five eclipses, three of the Sun and two of the Moon. All times are expressed

in Universal Time using ✂ ❉ +69s

.0. There is a transit of Mercury across the Sun.

I. A partial eclipse of the Sun, January 5-6. See map on page 71. The eclipse begins

at 23❤

34♠on January 5 and ends at 03❤49♠on January 6. It is visible from eastern

Asia, extreme western North America, and the north Pacific Ocean.

II. A total eclipse of the Moon, January 21. See map on page 72. The eclipse begins

at 02❤

35♠and ends at 07❤50♠; the total phase begins at 04❤41♠and ends at 05❤44♠.

It is visible from Africa, Europe, South America, North America, extreme eastern Asia,

the Atlantic Ocean, and the Pacific Ocean.

III. A total eclipse of the Sun, July 2. See map on page 74. The eclipse begins at

16❤

55♠and ends at 21❤51♠. Maximum duration of totality is 4♠38s. It is visible from

South America, south Central America, and the south Pacific Ocean.

IV. A partial eclipse of the Moon, July 16-17. See map on page 77. The eclipse

begins at 18❤

42♠on July 16 and ends at 00❤20♠on July 17. Time of maximum

eclipse is 21❤

31♠. It is visible from Australia, Antarctica, Asia, Africa, the Middle East,

Europe, South America, the Indian Ocean, and the Atlantic Ocean.

V. An annular eclipse of the Sun, December 26. See map on page 79. The eclipse

begins at 02❤

30♠and ends at 08❤06♠. Maximum duration of annularity is 3♠34s. It

is visible from western Australia, Asia, the Middle East, eastern Europe, extreme eastern

Africa, the north Indian Ocean, and the Pacific Ocean.

Local circumstances and animations for upcoming eclipses can be found on The Astronomical Almanac Online at http://asa.hmnao.com or http://asa.usno.navy.mil.
ECLIPSES 65

Local circumstances and animations for upcoming eclipses can be found on The Astronomical Almanac Online at http://asa.hmnao.com or http://asa.usno.navy.mil.

General Information

The elements and circumstances are computed according to Bessel’s method from

apparent right ascensions and declinations of the Sun and Moon. Semidiameters of the

Sun and Moon used in the calculation of eclipses do not include irradiation. The adopted

semidiameter of the Sun at unit distance is 15✵

59✵✵.64 from the IAU (1976) Astronomical

Constants. The apparent semidiameter of the Moon is equal to arcsin (❦ sin ✂ ), where ✂

is the Moon’s horizontal parallax and ❦ is an adopted constant. In 1982, the IAU adopted

❦ = 0.272 5076, corresponding to the mean radius of Watts’ datum as determined by

observations of occultations and to the adopted radius of the Earth.

Standard corrections of ❈0

✵✵.5 and 0✵✵.25 have been applied to the longitude and

latitude of the Moon, respectively, to help correct for the difference between the center of

figure and the center of mass.

Refraction is neglected in calculating solar and lunar eclipses. Because the circumstances of eclipses are calculated for the surface of the ellipsoid, refraction is not included

in Besselian element polynomials. For local predictions, corrections for refraction are

unnecessary; they are required only in precise comparisons of theory with observation in

which many other refinements are also necessary.

All time arguments are given provisionally in Universal Time, using ✄✁ ✳❆✴ ❉ ❈69s

.0.

Once an updated value of ✄✁ is known, the data on these pages may be expressed in

Universal Time as follows:

Define ➎✁ ❉ ✄✁ ✄✁ ✳❆✴, in units of seconds of time.

Change the times of circumstances given in preliminary Universal Time by subtracting ➎✁ .

Correct the tabulated longitudes, ☎✳❆✴, using ☎ ❉ ☎✳❆✴❈ 0.00417807✆➎✁ (longitudes are in degrees).

Leave all other quantities unchanged.

The correction of ➎✁ is included in the Besselian elements.

Longitude is positive to the east, and negative to the west.

Explanation of Solar Eclipse Diagram

The solar eclipse diagrams in The Astronomical Almanac show the region over which

different phases of each eclipse may be seen and the times at which these phases occur.

Each diagram has a series of dashed curves that show the outline of the Moon’s penumbra

on the Earth’s surface at one-hour intervals. Short dashes show the leading edge and long

dashes show the trailing edge. Except for certain extreme cases, the shadow outline moves

generally from west to east. The Moon’s shadow cone first contacts the Earth’s surface

where “First Contact” is indicated on the diagram. “Last Contact” is where the Moon’s

shadow cone last contacts the Earth’s surface. The path of the central eclipse, whether

for a total, annular, or annular-total eclipse, is marked by two closely spaced curves that

cut across all of the dashed curves. These two curves mark the extent of the Moon’s

umbral shadow on the Earth’s surface. Viewers within these boundaries will observe a

total, annular, or annular-total eclipse, and viewers outside these boundaries will see a

partial eclipse.

Solid curves labeled “Northern” and “Southern Limit of Eclipse” represent the furthest

extent north or south of the Moon’s penumbra on the Earth’s surface. Viewers outside of
66 ECLIPSES

these boundaries will not experience any eclipse. When only one of these two curves

appears, only part of the Moon’s penumbra touches the Earth; the other part is projected

into space north or south of the Earth. The solid curves labeled “Eclipse begins at Sunset”

and “Eclipse ends at Sunrise” define the other limits.

Another set of solid curves appears on some diagrams as two teardrop shapes (or

lobes) on either end of the eclipse path, and on other diagrams as a distorted figure

eight. These lobes represent in time the intersection of the Moon’s penumbra with the

Earth’s terminator as the eclipse progresses. As time elapses, the Earth’s terminator

moves east-to-west while the Moon’s penumbra moves west-to-east. These lobes connect

to form an elongated figure eight on a diagram when part of the Moon’s penumbra stays in

contact with the Earth’s terminator throughout the eclipse. The lobes become two separate

teardrop shapes when the Moon’s penumbra breaks contact with the Earth’s terminator

during the beginning of the eclipse and reconnects with it near the end. In the east, the

outer portion of the lobe is labeled “Eclipse begins at Sunset” and marks the first contact

between the Moon’s penumbra and Earth’s terminator in the east. Observers on this curve

just fail to see the eclipse. The inner part of the lobe is labeled “Eclipse ends at Sunset”

and marks the last contact between the Moon’s penumbra and the Earth’s terminator in

the east. Observers on this curve just see the whole eclipse. The curve bisecting this lobe

is labeled “Maximum Eclipse at Sunset” and is part of the sunset terminator at maximum

eclipse. Viewers in the eastern half of the lobe will see the Sun set before maximum

eclipse; i.e. see less than half of the eclipse. Viewers in the western half of the lobe

will see the Sun set after maximum eclipse; i.e. see more than half of the eclipse. A

similar description holds for the western lobe except everything occurs at sunrise instead

of sunset.

Computing Local Circumstances for Solar Eclipses

The solar eclipse maps show the path of the eclipse, beginning and ending times of

the eclipse, and the region of visibility, including restrictions due to rising and setting

of the Sun. The short-dash and long-dash lines show, respectively, the progress of the

leading and trailing edge of the penumbra; thus, at a given location, the times of the first

and last contact may be interpolated. If further precision is desired, Besselian elements

can be utilized.

Besselian elements characterize the geometric position of the shadow of the Moon

relative to the Earth. The exterior tangents to the surfaces of the Sun and Moon form

the umbral cone; the interior tangents form the penumbral cone. The common axis of

these two cones is the axis of the shadow. To form a system of geocentric rectangular

coordinates, the geocentric plane perpendicular to the axis of the shadow is taken as the

1-plane. This is called the fundamental plane. The 1-axis is the intersection of the

fundamental plane with the plane of the equator; it is positive toward the east. The -axis

is positive toward the north. The 3-axis is parallel to the axis of the shadow and is

positive toward the Moon. The tabular values of 1 and  are the coordinates, in units

of the Earth’s equatorial radius, of the intersection of the axis of the shadow with the

fundamental plane. The direction of the axis of the shadow is specified by the declination

❞ and hour angle ✆ of the point on the celestial sphere toward which the axis is directed.

The radius of the umbral cone is regarded as positive for an annular eclipse and

negative for a total eclipse. The angles ❢✶ and ❢✷ are the angles at which the tangents

that form the penumbral and umbral cones, respectively, intersect the axis of the shadow.

To predict accurate local circumstances, calculate the geocentric coordinates ✝ sin ✞✵

and ✝ cos ✞✵from the geodetic latitude ✞ and longitude ☎, using the relationships given

on pages K11–K12 of The Astronomical Almanac. Inclusion of the height ❤ in this

calculation is all that is necessary to obtain the local circumstances at high altitudes.
ECLIPSES 67

Obtain approximate times for the beginning, middle and end of the eclipse from

the eclipse map. For each of these three times compute — from the Besselian element

polynomials — the values of 1, , sin ❞ , cos ❞ , ✆ and ❧✶ (the radius of the penumbra on

the fundamental plane). If the eclipse is central (i.e., total, annular or annular-total), then,

at the approximate time of the middle of the eclipse, ❧✷ (the radius of the umbra on the

fundamental plane) is required instead of ❧✶. The hourly variations 1✵

, ✵of 1 and  are

needed, and may be obtained by evaluating the derivative of the polynomial expressions

for 1 and . Values of ✆✵

, ❞ ✵, tan ❢✶ and tan ❢✷ are nearly constant throughout the eclipse

and are given immediately following the Besselian polynomials.

For each of the three approximate times, calculate the coordinates ✟ , ✠, ✡ for the

observer and the hourly variations ✟

✵

and ✠✵from

✟ ❉ ✝ ❝s ✞✵

s✁♥ ☛✂

✠ ❉ ✝ s✁♥ ✞✵

❝s ❞  ✝ ❝s ✞✵s✁♥ ❞ ❝s ☛✂

✡ ❉ ✝ s✁♥ ✞✵

s✁♥ ❞ ❈ ✝ ❝s ✞✵❝s ❞ ❝s ☛✂

✟

✵ ❉ ✆✵

✝ ❝s ✞✵

❝s ☛✂

✠

✵ ❉ ✆✵

✟ s✁♥ ❞  ✡❞ ✵

✂

where

☛ ❉ ✆ ❈ ☎

for longitudes measured positive towards the east.

Next, calculate

✉ ❉ 1  ✟

✈ ❉   ✠

♠✷ ❉ ✉✷ ❈ ✈

✷

✉✵ ❉ 1✵  ✟

✵

✈✵ ❉ ✵  ✠✵

✄✷ ❉ ✉✵✷ ❈ ✈

✵✷

✳♠✂ ✄ ❃ ✵✴

▲✐ ❉ ❧✐  ✡ t☎♥❢✐

❉ ❉ ✉✉✵ ❈ ✈✈✵

✄ ❉ ✶

✆

✳✉✈✵  ✉✵

✈✴

s✁♥ ✥ ❉ ✝

✞☞

✂

where ✌ = 1, 2.

At the approximate times of the beginning and end of the eclipse, ▲✶ is required. At

the approximate time of the middle of the eclipse, ▲✷ is required if the eclipse is central;

▲✶ is required if the eclipse is partial.

Neglecting the variation of ▲, the correction ✍ to be applied to the approximate time

of the middle of the eclipse to obtain the Universal Time of greatest phase (in hours) is

✍ ❉ 

❉

✄✷

✂

which may be expressed in minutes by multiplying by 60. The correction ✍ to be applied

to the approximate times of the beginning and end of the eclipse to obtain the Universal

Times of the penumbral contacts (in hours) is

✍ ❉

▲✶

✄

❝s ✥ 

❉

✄✷

✂

which may be expressed in minutes by multiplying by 60.
68 ECLIPSES

If the eclipse is central, use the approximate time for the middle of the eclipse as

a first approximation to the times of umbral contact. The correction ✍ to be applied to

obtain the Universal Times of the umbral contacts is

✍ ❉

▲✷

✄

❝s ✥ 

❉

✄✷

✂

which may be expressed in minutes by multiplying by 60.

In the last two equations, the ambiguity in the quadrant of ✥ is removed by noting

that cos ✥ must be negative for the beginning of the eclipse, for the beginning of the

annular phase, or for the end of the total phase; cos ✥ must be positive for the end of the

eclipse, the end of the annular phase, or the beginning of the total phase.

For greater accuracy, the times resulting from the calculation outlined above should

be used in place of the original approximate times, and the entire procedure repeated at

least once. The calculations for each of the contact times and the time of greatest phase

should be performed separately.

The magnitude of greatest partial eclipse, in units of the solar diameter is

▼✶ ❉

▲✶  ♠

✳✳▲✶  ✵✵✺✺✁✴

✂

where the value of ♠ at the time of greatest phase is used. If the magnitude is negative

at the time of greatest phase, no eclipse is visible from the location.

The magnitude of the central phase, in the same units is

▼✷ ❉

▲✶  ▲✷

✳▲✶ ❈ ▲✷ ✴

✵

The position angle of a point of contact measured eastward (counterclockwise) from

the north point of the solar limb is given by

t☎♥ P ❉

✉

✈

✂

where ✉ and ✈ are evaluated at the times of contacts computed in the final approximation.

The quadrant of P is determined by noting that sin P has the algebraic sign of ✉, except

for the contacts of the total phase, for which sin P has the opposite sign to ✉.

The position angle of the point of contact measured eastward from the vertex of the

solar limb is given by

❱ ❉ P  ❈✂

where ❈ , the parallactic angle, is obtained with sufficient accuracy from

t☎♥ ❈ ❉

✟

✠

✂

with sin ❈ having the same algebraic sign as ✟ , and the results of the final approximation

again being used. The vertex point of the solar limb lies on a great circle arc drawn from

the zenith to the center of the solar disk.

Lunar Eclipses

A calculator to produce local circumstances of recent and upcoming lunar eclipses is

provided at http://aa.usno.navy.mil/data/docs/LunarEclipse.php
ECLIPSES 69

In calculating lunar eclipses, the radius of the geocentric shadow of the Earth is

increased by one-fiftieth part to allow for the effect of the atmosphere. Refraction is

neglected in calculating solar and lunar eclipses. Standard corrections of ❈0

✵✵.5 and

0

✵✵.25 have been applied to the longitude and latitude of the Moon, respectively, to help

correct for the difference between the center of figure and the center of mass.

Explanation of Lunar Eclipse Diagram

Information on lunar eclipses is presented in the form of a diagram consisting of two

parts. The upper panel shows the path of the Moon relative to the penumbral and umbral

shadows of the Earth. The lower panel shows the visibility of the eclipse from the surface

of the Earth. The title of the upper panel includes the type of eclipse, its place in the

sequence of eclipses for the year and the Greenwich calendar date of the eclipse. The

inner darker circle is the umbral shadow of the Earth and the outer lighter circle is that

of the penumbra. The axis of the shadow of the Earth is denoted by (❈) with the ecliptic

shown for reference purposes. A 30-arcminute scale bar is provided on the right hand

side of the diagram and the orientation is given by the cardinal points displayed on the

small graphic on the left hand side of the diagram. The position angle (PA) is measured

from North point of the lunar disk along the limb of the Moon to the point of contact. It

is shown on the graphic by the use of an arc extending anti-clockwise (eastwards) from

North terminated with an arrow head.

Moon symbols are plotted at the principal phases of the eclipse to show its position

relative to the umbral and penumbral shadows. The UT times of the different phases of the

eclipse to the nearest tenth of a minute are printed above or below the Moon symbols as

appropriate. P1 and P4 are the first and last external contacts of the penumbra respectively

and denote the beginning and end of the penumbral eclipse respectively. U1 and U4 are

the first and last external contacts of the umbra denoting the beginning and end of the

partial phase of the eclipse respectively. U2 and U3 are the first and last internal contacts

of the umbra and denote the beginning and end of the total phase respectively. MID is the

middle of the eclipse. The position angle is given for P1 and P4 for penumbral eclipses

and U1 and U4 for partial and total eclipses. The UT time of the geocentric opposition

in right ascension of the Sun and Moon and the magnitude of the eclipse are given above

or below the Moon symbols as appropriate.

The lower panel is a cylindrical equidistant map projection showing the Earth centered

on the longitude at which the Moon is in the zenith at the middle of the eclipse. The

visibility of the eclipse is displayed by plotting the Moon rise/set terminator for the

principal phases of the eclipse for which timing information is provided in the upper

panel. The terminator for the middle of the eclipse is not plotted for the sake of clarity.

The unshaded area indicates the region of the Earth from which all the eclipse is

visible, whereas the darkest shading indicates the area from which the eclipse is invisible.

The different shades of gray indicate regions where the Moon is either rising or setting

during the principal phases of the eclipse. The Moon is rising on the left hand side of the

diagram after the eclipse has started and is setting on the right hand side of the diagram

before the eclipse ends. Labels are provided to this effect.

Symbols are plotted showing the locations for which the Moon is in the zenith at the

principal phases of the eclipse. The points at which the Moon is in the zenith at P1 and

P4 are denoted by (❈), at U1 and U4 by (✙) and at U2 and U3 by (✣). These symbols

are also plotted on the upper panel where appropriate. The value of ✄✁ used for the

calculation of the eclipse circumstances is given below the diagram. Country boundaries

are also provided to assist the user in determining the visibility of the eclipse at a particular

location.
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✴ ' T )M)(P+KQ** T )M)))**I+* !  )M))))*))* !

(

3CF9: 7>R?:C<6C [E<6C7C79;V

C<6 (

*

O T )M))K,PI

✁✵

O T )M(I*,K( :<J7<6; R9: F?E:

%

✵

O T )M))))QP :<J7<6; R9: F?E:

1== C7>9 <:AE>96C; <:9 A7896 R:?87;7?6<==H 76 .6789:;<= 07>9' E;76A ✂")*+ O I+;

M)M

72 ECLIPSES, 2019

P

P

E

E

N

N

U

U

M

M

B

B

R

R

A

A

U

U

M

M

B

B

R

R

A

A

Ecliptic

Ecliptic

S

N

E W

P.A.

II. - Total Eclipse of the Moon 2019 January 21

UT of geocentric opposition in RA: January 21 5 7 42 555. Umbral magnitude of the eclipse: 1.201 d h m s

02 35 . 0 h m

P1

03 33 . 6 h m

P.A. 118.0o

U1

04 40 . 8 h m

U2

05 12 . 3 h m

MID

05 43 . 8 h m

U3

06 51 . 0 h m

P.A. 255.8o

U4

07 49 . 6 h m

P4

30 arc-minutes

120 Eo

120 Eo

150 Eo

150 Eo

180o

180o

150 Wo

150 Wo

120 Wo

120 Wo

90 Wo

90 Wo

60 Wo

60 Wo

30 Wo

30 Wo

0

o

0

o

30 Eo

30 Eo

60 Eo

60 Eo

90 Eo

90 Eo

80 So80 So

60 So60 So

40 So40 So

20 So20 So

0

o

0

o

20 No20 No

40 No40 No

60 No60 No

80 No80 No

P1

P1

U1

U1

U2

U2

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

U3

U3

U4

U4

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +69.0s ∆
ECLIPSES, 2019 73

III. ❾ Total Eclipse of the Sun, 2019 July 2

CIRCUMSTANCES OF THE ECLIPSE

Universal Time of geocentric conjunction in right ascension, July 2d

19h21m41s.989

Julian Date = 2458667.3067359771

UT Longitude Latitude

d hm ➦ ✵

➦ ✵

Eclipse begins July 2 16 55.2 ❾ 151 56.6 ❾ 23 53.1

Beginning of northern limit of umbra 2 18 01.7 ❾ 160 40.2 ❾ 37 06.1

Beginning of center line; central eclipse begins 2 18 02.3 ❾ 160 25.7 ❾ 37 39.5

Beginning of southern limit of umbra 2 18 03.0 ❾ 160 10.9 ❾ 38 13.1

Central eclipse at local apparent noon 2 19 21.7 ❾ 109 24.2 ❾ 17 24.2

End of southern limit of umbra 2 20 43.0 ❾ 57 56.7 ❾ 36 22.6

End of center line; central eclipse ends 2 20 43.6 ❾ 57 42.7 ❾ 35 47.6

End of northern limit of umbra 2 20 44.3 ❾ 57 28.9 ❾ 35 12.9

Eclipse ends 2 21 50.7 ❾ 66 29.7 ❾ 21 57.4

BESSELIAN ELEMENTS

Let t = (UT 17h

) + ➎T / 3600 in units of hours.

These equations are valid over the range ❾ 0

h

.125 ✧ t ✧ 5

h

.017. Do not use t outside the

given range, and do not omit any terms in the series.

Intersection of the axis of shadow with the fundamental plane:

x =  1.33702254 + 0.56599677 t+ 0.00007972 t

2  0.00000880 t3

y =  0.67228557 + 0.01114107 t  0.00012565 t

2  0.00000027 t3

Direction of the axis of shadow:

sin d = + 0.39104024  0.00005082 t  0.00000011 t

2

cos d = + 0.92037359 + 0.00002159 t + 0.00000005 t

2

✆ = 73✁.97992695 + 14.99950220 t + 0.00000117 t

2  0.00000002 t3  0.00417807 ➎T

Radius of the shadow on the fundamental plane:

penumbra ✳l

1

✴ = + 0.53778414  0.00004217 t  0.00001201 t

2

umbra ✳l

2

✴ =  0.00855846  0.00004200 t  0.00001192 t

2 0.00000001 t3

Other important quantities:

tan f

1

= + 0.004598

tan f

2

= + 0.004576

✆✵

= + 0.261791 radians per hour

d

✵

=  0.000056 radians per hour

All time arguments are given provisionally in Universal Time, using ✄T(A) = 69s

.0.

ECLIPSES, 2019 75

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF JULY 2

For limits, see Circumstances of the Eclipse.

Latitude of: Universal Time at: On Central Line

Longitude Northern Central Southern Northern Central Southern Maximum Sun’s

Limit Line Limit Limit Line Limit Duration Alt. Az.

➦ ➦ ➦ ➦ ➦ ➦ ➦ ➦

hm s hm s hm s m s  

 156 00  34 55.8  35 37.2  36 18.9 18 02 08.7 18 02 45.3 18 03 23.4 2 12.0 4 58

 155 00  34 27.3  35 09.2  35 51.4 18 02 20.7 18 02 55.5 18 03 30.6 2 14.3 5 57

 154 00  33 58.8  34 41.0  35 23.6 18 02 33.5 18 03 07.9 18 03 43.2 2 16.5 6 56

 153 00  33 29.9  34 12.6  34 55.4 18 02 50.7 18 03 24.8 18 04 00.7 2 18.9 7 56

 152 00  33 00.9  33 43.9  34 27.1 18 03 11.0 18 03 44.6 18 04 19.8 2 21.4 8 55

 151 00  32 31.8  33 15.1  33 58.7 18 03 34.2 18 04 07.2 18 04 41.9 2 23.9 9 55

 150 00  32 02.4  32 46.2  33 30.1 18 04 00.4 18 04 32.8 18 05 06.9 2 26.5 10 54

 149 00  31 33.0  32 17.1  33 01.4 18 04 29.8 18 05 01.6 18 05 35.1 2 29.2 11 53

 148 00  31 03.4  31 47.9  32 32.6 18 05 02.4 18 05 33.6 18 06 06.4 2 32.0 12 53

 147 00  30 33.8  31 18.6  32 03.7 18 05 38.5 18 06 08.9 18 06 41.1 2 34.8 13 52

 146 00  30 04.0  30 49.3  31 34.8 18 06 18.1 18 06 47.8 18 07 19.2 2 37.7 14 51

 145 00  29 34.2  30 19.8  31 05.7 18 07 01.4 18 07 30.3 18 08 00.9 2 40.7 16 51

 144 00  29 04.3  29 50.4  30 36.6 18 07 48.4 18 08 16.4 18 08 46.3 2 43.8 17 50

 143 00  28 34.4  29 20.8  30 07.5 18 08 39.3 18 09 06.5 18 09 35.5 2 46.9 18 49

 142 00  28 04.5  28 51.3  29 38.4 18 09 34.3 18 10 00.5 18 10 28.6 2 50.2 19 49

 141 00  27 34.6  28 21.8  29 09.3 18 10 33.4 18 10 58.7 18 11 25.8 2 53.5 20 48

 140 00  27 04.8  27 52.4  28 40.2 18 11 36.7 18 12 01.0 18 12 27.2 2 56.9 21 47

 139 00  26 35.0  27 23.0  28 11.3 18 12 44.4 18 13 07.7 18 13 32.9 3 00.4 22 46

 138 00  26 05.3  26 53.8  27 42.4 18 13 56.7 18 14 18.9 18 14 43.0 3 04.0 24 46

 137 00  25 35.8  26 24.7  27 13.7 18 15 13.5 18 15 34.6 18 15 57.7 3 07.7 25 45

 136 00  25 06.5  25 55.8  26 45.2 18 16 35.1 18 16 55.0 18 17 17.0 3 11.4 26 44

 135 00  24 37.4  25 27.1  26 16.9 18 18 01.5 18 18 20.3 18 18 41.1 3 15.2 27 43

 134 00  24 08.6  24 58.6  25 48.8 18 19 32.8 18 19 50.4 18 20 10.1 3 19.1 28 42

 133 00  23 40.1  24 30.5  25 21.1 18 21 09.1 18 21 25.5 18 21 44.0 3 23.1 29 41

 132 00  23 12.0  24 2.7  24 53.7 18 22 50.6 18 23 05.7 18 23 23.0 3 27.1 31 40

 131 00  22 44.2  23 35.3  24 26.7 18 24 37.2 18 24 51.1 18 25 07.1 3 31.1 32 39

 130 00  22 17.0  23 08.4  24 00.1 18 26 29.0 18 26 41.7 18 26 56.4 3 35.2 33 38

 129 00  21 50.2  22 42.1  23 34.1 18 28 26.0 18 28 37.5 18 28 50.9 3 39.3 34 37

 128 00  21 24.1  22 16.2  23 08.6 18 30 28.3 18 30 38.5 18 30 50.7 3 43.5 35 36

 127 00  20 58.6  21 51.1  22 43.8 18 32 35.9 18 32 44.9 18 32 55.8 3 47.6 37 35

 126 00  20 33.8  21 26.6  22 19.6 18 34 48.7 18 34 56.4 18 35 06.2 3 51.8 38 33

 125 00  20 09.9  21 02.9  21 56.2 18 37 06.7 18 37 13.3 18 37 21.7 3 55.9 39 32

 124 00  19 46.7  20 40.1  21 33.6 18 39 29.8 18 39 35.2 18 39 42.5 4 00.0 40 31

 123 00  19 24.5  20 18.1  21 12.0 18 41 57.9 18 42 02.2 18 42 08.3 4 03.9 41 29

 122 00  19 03.3  19 57.2  20 51.3 18 44 30.9 18 44 34.1 18 44 39.1 4 07.8 42 27

 121 00  18 43.2  19 37.3  20 31.6 18 47 08.5 18 47 10.8 18 47 14.6 4 11.6 43 26

 120 00  18 24.2  19 18.5  20 13.0 18 49 50.7 18 49 52.0 18 49 54.8 4 15.2 44 24

 119 00  18 06.4  19 00.9  19 55.6 18 52 37.2 18 52 37.5 18 52 39.4 4 18.7 45 22

 118 00  17 49.9  18 44.5  19 39.4 18 55 27.6 18 55 27.2 18 55 28.1 4 22.0 46 20

 117 00  17 34.7  18 29.5  19 24.6 18 58 21.8 18 58 20.6 18 58 20.7 4 25.0 46 18

 116 00  17 21.0  18 15.9  19 11.1 19 01 19.3 19 01 17.4 19 01 16.7 4 27.7 47 16

 115 00  17 08.7  18 03.7  18 59.0 19 04 19.8 19 04 17.4 19 04 16.0 4 30.2 48 14

 114 00  16 57.9  17 53.0  18 48.5 19 07 23.0 19 07 20.1 19 07 18.0 4 32.4 48 11

 113 00  16 48.7  17 43.9  18 39.4 19 10 28.4 19 10 25.0 19 10 22.3 4 34.2 49 9

 112 00  16 41.0  17 36.3  18 31.9 19 13 35.6 19 13 31.8 19 13 28.5 4 35.7 49 7

 111 00  16 35.0  17 30.3  18 26.0 19 16 44.2 19 16 40.0 19 16 36.2 4 36.8 49 4

 110 00  16 30.7  17 26.0  18 21.7 19 19 53.6 19 19 49.1 19 19 44.8 4 37.6 50 2

 109 00  16 28.0  17 23.4  18 19.0 19 23 03.4 19 22 58.6 19 22 53.9 4 37.9 50 359

 108 00  16 27.0  17 22.3  18 18.0 19 26 13.2 19 26 08.1 19 26 03.0 4 37.8 50 356

 107 00  16 27.7  17 23.0  18 18.6 19 29 22.4 19 29 17.1 19 29 11.5 4 37.4 49 354
76 ECLIPSES, 2019

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF JULY 2

Latitude of: Universal Time at: On Central Line

Longitude Northern Central Southern Northern Central Southern Maximum Sun’s

Limit Line Limit Limit Line Limit Duration Alt. Az.

➦ ➦ ➦ ➦ ➦ ➦ ➦ ➦

hm s hm s hm s m s  

 106 00  16 30.0  17 25.3  18 20.8 19 32 30.7 19 32 25.1 19 32 19.1 4 36.6 49 351

 105 00  16 34.0  17 29.2  18 24.7 19 35 37.5 19 35 31.6 19 35 25.2 4 35.4 49 349

 104 00  16 39.6  17 34.7  18 30.1 19 38 42.4 19 38 36.2 19 38 29.3 4 33.8 48 347

 103 00  16 46.8  17 41.8  18 37.1 19 41 45.0 19 41 38.5 19 41 31.1 4 31.9 48 344

 102 00  16 55.5  17 50.4  18 45.6 19 44 44.9 19 44 38.0 19 44 30.1 4 29.7 47 342

 101 00  17 05.7  18 00.5  18 55.6 19 47 41.8 19 47 34.4 19 47 25.9 4 27.2 46 340

 100 00  17 17.4  18 12.0  19 07.0 19 50 35.2 19 50 27.3 19 50 18.2 4 24.4 46 338

 99 00  17 30.5  18 24.9  19 19.7 19 53 24.9 19 53 16.4 19 53 06.7 4 21.4 45 336

 98 00  17 44.9  18 39.2  19 33.7 19 56 10.6 19 56 01.5 19 55 51.1 4 18.1 44 334

 97 00  18 00.5  18 54.6  19 49.0 19 58 52.0 19 58 42.3 19 58 31.1 4 14.7 43 332

 96 00  18 17.4  19 11.3  20 05.4 20 01 29.0 20 01 18.5 20 01 06.5 4 11.1 42 331

 95 00  18 35.4  19 29.0  20 23.0 20 04 01.3 20 03 50.1 20 03 37.2 4 07.4 41 329

 94 00  18 54.5  19 47.9  20 41.5 20 06 28.7 20 06 16.7 20 06 03.0 4 03.5 40 328

 93 00  19 14.5  20 07.7  21 01.1 20 08 51.3 20 08 38.4 20 08 23.7 3 59.6 39 326

 92 00  19 35.5  20 28.4  21 21.6 20 11 08.7 20 10 55.0 20 10 39.4 3 55.6 38 325

 91 00  19 57.4  20 50.0  21 42.9 20 13 21.1 20 13 06.4 20 12 49.8 3 51.6 37 323

 90 00  20 20.1  21 12.4  22 05.0 20 15 28.3 20 15 12.6 20 14 55.1 3 47.5 35 322

 89 00  20 43.5  21 35.5  22 27.8 20 17 30.3 20 17 13.7 20 16 55.1 3 43.5 34 321

 88 00  21 07.6  21 59.3  22 51.2 20 19 27.1 20 19 09.5 20 18 50.0 3 39.4 33 320

 87 00  21 32.3  22 23.7  23 15.3 20 21 18.7 20 21 00.2 20 20 39.6 3 35.4 32 319

 86 00  21 57.5  22 48.6  23 39.9 20 23 05.2 20 22 45.7 20 22 24.1 3 31.4 31 318

 85 00  22 23.3  23 14.0  24 05.0 20 24 46.6 20 24 26.1 20 24 03.5 3 27.4 30 317

 84 00  22 49.6  23 39.9  24 30.5 20 26 23.0 20 26 01.5 20 25 38.0 3 23.5 28 316

 83 00  23 16.2  24 06.2  24 56.5 20 27 54.4 20 27 31.9 20 27 07.4 3 19.6 27 315

 82 00  23 43.2  24 32.9  25 22.7 20 29 20.9 20 28 57.5 20 28 32.0 3 15.8 26 314

 81 00  24 10.5  24 59.8  25 49.3 20 30 42.7 20 30 18.3 20 29 51.9 3 12.1 25 314

 80 00  24 38.1  25 27.1  26 16.2 20 31 59.7 20 31 34.4 20 31 07.1 3 08.4 24 313

 79 00  25 06.0  25 54.5  26 43.3 20 33 12.2 20 32 46.0 20 32 17.8 3 04.9 22 312

 78 00  25 34.0  26 22.2  27 10.6 20 34 20.2 20 33 53.1 20 33 24.1 3 01.3 21 311

 77 00  26 02.2  26 50.0  27 38.1 20 35 23.8 20 34 55.9 20 34 26.1 2 57.9 20 311

 76 00  26 30.5  27 18.0  28 05.7 20 36 23.2 20 35 54.4 20 35 23.8 2 54.6 19 310

 75 00  26 59.0  27 46.1  28 33.4 20 37 18.4 20 36 48.9 20 36 17.5 2 51.3 18 309

 74 00  27 27.5  28 14.2  29 01.2 20 38 09.6 20 37 39.4 20 37 07.3 2 48.1 17 309

 73 00  27 56.1  28 42.4  29 29.0 20 38 57.0 20 38 26.0 20 37 53.2 2 45.0 16 308

 72 00  28 24.7  29 10.7  29 56.9 20 39 40.5 20 39 08.8 20 38 35.3 2 41.9 14 307

 71 00  28 53.3  29 38.9  30 24.8 20 40 20.4 20 39 48.0 20 39 13.9 2 39.0 13 307

 70 00  29 22.0  30 07.2  30 52.6 20 40 56.7 20 40 23.7 20 39 49.0 2 36.1 12 306

 69 00  29 50.5  30 35.4  31 20.5 20 41 29.6 20 40 56.0 20 40 20.7 2 33.3 11 305

 68 00  30 19.1  31 03.6  31 48.3 20 41 59.1 20 41 25.0 20 40 49.2 2 30.6 10 305

 67 00  30 47.5  31 31.7  32 16.1 20 42 25.5 20 41 50.8 20 41 14.5 2 27.9 9 304

 66 00  31 15.9  31 59.7  32 43.7 20 42 48.8 20 42 13.6 20 41 36.8 2 25.3 8 304

 65 00  31 44.2  32 27.7  33 11.3 20 43 09.2 20 42 33.5 20 41 56.1 2 22.8 7 303

 64 00  32 12.4  32 55.5  33 38.8 20 43 26.4 20 42 50.7 20 42 11.2 2 20.4 6 302

 63 00  32 40.4  33 23.2  34 06.2 20 43 39.1 20 43 03.2 20 42 25.6 2 18.0 5 302

For limits, see Circumstances of the Eclipse.
ECLIPSES, 2019 77

P

P

E

E

N

N

U

U

M

M

B

B

R

R

A

A

U

U

M

M

B

B

R

R

A

A

Ecliptic

Ecliptic

S

N

E W

P.A.

IV. - Partial Eclipse of the Moon 2019 July 16-17

UT of geocentric opposition in RA: July 16 21 25 5 713. Umbral magnitude of the eclipse: 0.658 d h m s

18 42 . 1 h m

P1

20 01 . 3 h m

P.A. 45.8o

U1

21 30 . 8 h m

MID

23 00 . 1 h m

P.A. 305.6o

U4

00 19 . 5 h m

P4

30 arc-minutes

120 Wo

120 Wo

90 Wo

90 Wo

60 Wo

60 Wo

30 Wo

30 Wo

0

o

0

o

30 Eo

30 Eo

60 Eo

60 Eo

90 Eo

90 Eo

120 Eo

120 Eo

150 Eo

150 Eo

180o

180o

150 Wo

150 Wo

80 So80 So

60 So60 So

40 So40 So

20 So20 So

0

o

0

o

20 No20 No

40 No40 No

60 No60 No

80 No80 No

P1

P1

U1

U1

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

U4

U4

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +69.0s ∆
78 ECLIPSES, 2019

V. ❾ Annular Eclipse of the Sun, 2019 December 26

CIRCUMSTANCES OF THE ECLIPSE

Universal Time of geocentric conjunction in right ascension, December 26d

5

h

14m34s.764

Julian Date = 2458843.7184579140

UT Longitude Latitude

d hm ➦ ✵

➦ ✵

Eclipse begins December 26 02 29.9 + 60 33.6 + 17 47.3

Beginning of southern limit of umbra 26 03 35.7 + 47 55.1 + 25 18.2

Beginning of center line; central eclipse begins 26 03 36.1 + 48 12.1 + 25 59.1

Beginning of northern limit of umbra 26 03 36.4 + 48 29.2 + 26 40.2

Central eclipse at local apparent noon 26 05 14.6 + 101 25.2 + 1 07.2

End of northern limit of umbra 26 06 59.1 + 156 26.8 + 19 37.0

End of center line; central eclipse ends 26 06 59.4 + 156 42.2 + 18 54.0

End of southern limit of umbra 26 06 59.8 + 156 57.6 + 18 11.2

Eclipse ends 26 08 05.7 + 143 59.6 + 10 37.2

BESSELIAN ELEMENTS

Let t = (UT 2

h

) + ➎T / 3600 in units of hours.

These equations are valid over the range 0h

.375 ✧ t ✧ 6

h

.267. Do not use t outside the

given range, and do not omit any terms in the series.

Intersection of the axis of shadow with the fundamental plane:

x =  1.73680329 + 0.53542885 t + 0.00006244 t

2  0.00000715 t3

y = + 0.53461897  0.03750822 t + 0.00014037 t

2 + 0.00000060 t3

Direction of the axis of shadow:

sin d =  0.39678921 + 0.00002193 t + 0.00000010 t

2

cos d = + 0.91790974 + 0.00000950 t + 0.00000004 t

2

✆ = 209✁.94710262+ 14.99626891 t + 0.00000050 t

2 0.00000002 t3  0.00417807 ➎T

Radius of the shadow on the fundamental plane:

penumbra ✳l

1

✴ = + 0.55842767 + 0.00019522 t  0.00001125 t

2+ 0.00000001 t3

umbra ✳l

2

✴ = + 0.01198187 + 0.00019419 t  0.00001117 t

2

Other important quantities:

tan f

1

= + 0.004755

tan f

2

= + 0.004731

✆✵

= + 0.261734 radians per hour

d

✵

= + 0.000025 radians per hour

All time arguments are given provisionally in Universal Time, using ✄T(A) = 69s

.0.

80 ECLIPSES, 2019

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF DECEMBER 26

For limits, see Circumstances of the Eclipse.

Latitude of: Universal Time at: On Central Line

Longitude Northern Central Southern Northern Central Southern Maximum Sun’s

Limit Line Limit Limit Line Limit Duration Alt. Az.

➦ ➦ ➦ ➦ ➦ ➦ ➦ ➦

hm s hm s hm s m s  

✰ 53 00 ✰ 24 34.4 ✰ 23 47.2 ✰ 23 00.0 3 36 52.6 3 36 32.9 3 36 18.5 2 56.8 5 118

✰ 54 00 ✰ 24 06.1 ✰ 23 18.7 ✰ 22 32.1 3 37 01.6 3 36 47.2 3 36 31.0 2 57.1 6 119

✰ 55 00 ✰ 23 37.1 ✰ 22 50.1 ✰ 22 03.7 3 37 15.9 3 37 01.8 3 36 48.0 2 57.4 7 119

✰ 56 00 ✰ 23 07.6 ✰ 22 21.1 ✰ 21 34.9 3 37 34.6 3 37 20.7 3 37 08.4 2 57.8 8 120

✰ 57 00 ✰ 22 38.0 ✰ 21 51.7 ✰ 21 05.8 3 37 55.5 3 37 42.9 3 37 31.7 2 58.1 9 120

✰ 58 00 ✰ 22 08.0 ✰ 21 22.0 ✰ 20 36.4 3 38 19.7 3 38 08.2 3 37 58.1 2 58.4 11 120

✰ 59 00 ✰ 21 37.6 ✰ 20 52.0 ✰ 20 06.7 3 38 47.1 3 38 36.8 3 38 27.9 2 58.8 12 121

✰ 60 00 ✰ 21 07.0 ✰ 20 21.7 ✰ 19 36.7 3 39 17.8 3 39 08.9 3 39 01.1 2 59.2 13 121

✰ 61 00 ✰ 20 36.1 ✰ 19 51.0 ✰ 19 06.4 3 39 52.2 3 39 44.5 3 39 38.0 2 59.6 14 122

✰ 62 00 ✰ 20 04.8 ✰ 19 20.1 ✰ 18 35.8 3 40 30.2 3 40 23.7 3 40 18.5 3 00.0 15 122

✰ 63 00 ✰ 19 33.3 ✰ 18 48.9 ✰ 18 05.0 3 41 12.0 3 41 06.8 3 41 02.8 3 00.5 16 123

✰ 64 00 ✰ 19 01.5 ✰ 18 17.5 ✰ 17 33.8 3 41 57.8 3 41 53.9 3 41 51.2 3 00.9 18 123

✰ 65 00 ✰ 18 29.5 ✰ 17 45.7 ✰ 17 02.4 3 42 47.7 3 42 45.1 3 42 43.7 3 01.4 19 123

✰ 66 00 ✰ 17 57.1 ✰ 17 13.8 ✰ 16 30.8 3 43 41.9 3 43 40.6 3 43 40.5 3 01.9 20 124

✰ 67 00 ✰ 17 24.6 ✰ 16 41.6 ✰ 15 58.9 3 44 40.5 3 44 40.6 3 44 41.7 3 02.4 21 124

✰ 68 00 ✰ 16 51.8 ✰ 16 09.1 ✰ 15 26.8 3 45 43.7 3 45 45.1 3 45 47.5 3 03.0 23 125

✰ 69 00 ✰ 16 18.8 ✰ 15 36.5 ✰ 14 54.6 3 46 51.6 3 46 54.3 3 46 58.1 3 03.6 24 125

✰ 70 00 ✰ 15 45.7 ✰ 15 03.7 ✰ 14 22.1 3 48 04.4 3 48 08.5 3 48 13.5 3 04.2 25 126

✰ 71 00 ✰ 15 12.4 ✰ 14 30.8 ✰ 13 49.5 3 49 22.3 3 49 27.7 3 49 34.0 3 04.8 27 126

✰ 72 00 ✰ 14 38.9 ✰ 13 57.7 ✰ 13 16.8 3 50 45.3 3 50 52.1 3 50 59.7 3 05.5 28 127

✰ 73 00 ✰ 14 05.4 ✰ 13 24.5 ✰ 12 44.0 3 52 13.8 3 52 21.9 3 52 30.8 3 06.2 30 127

✰ 74 00 ✰ 13 31.8 ✰ 12 51.3 ✰ 12 11.2 3 53 47.8 3 53 57.2 3 54 07.3 3 06.9 31 128

✰ 75 00 ✰ 12 58.2 ✰ 12 18.0 ✰ 11 38.3 3 55 27.5 3 55 38.1 3 55 49.5 3 07.7 32 128

✰ 76 00 ✰ 12 24.6 ✰ 11 44.8 ✰ 11 05.4 3 57 13.0 3 57 24.9 3 57 37.5 3 08.4 34 129

✰ 77 00 ✰ 11 51.0 ✰ 11 11.6 ✰ 10 32.7 3 59 04.5 3 59 17.6 3 59 31.4 3 09.3 35 130

✰ 78 00 ✰ 11 17.6 ✰ 10 38.6 ✰ 10 00.0 4 01 02.1 4 01 16.3 4 01 31.2 3 10.1 37 130

✰ 79 00 ✰ 10 44.3 ✰ 10 05.7 ✰ 9 27.5 4 03 05.9 4 03 21.3 4 03 37.2 3 11.0 38 131

✰ 80 00 ✰ 10 11.2 ✰ 9 33.0 ✰ 8 55.2 4 05 16.0 4 05 32.4 4 05 49.4 3 12.0 40 132

✰ 81 00 ✰ 9 38.4 ✰ 9 00.6 ✰ 8 23.2 4 07 32.4 4 07 49.9 4 08 07.8 3 12.9 41 132

✰ 82 00 ✰ 9 06.0 ✰ 8 28.6 ✰ 7 51.5 4 09 55.3 4 10 13.7 4 10 32.6 3 14.0 43 133

✰ 83 00 ✰ 8 33.9 ✰ 7 56.9 ✰ 7 20.3 4 12 24.7 4 12 43.9 4 13 03.6 3 15.0 44 134

✰ 84 00 ✰ 8 02.4 ✰ 7 25.8 ✰ 6 49.6 4 15 00.5 4 15 20.5 4 15 40.9 3 16.1 46 135

✰ 85 00 ✰ 7 31.4 ✰ 6 55.2 ✰ 6 19.4 4 17 42.8 4 18 03.4 4 18 24.5 3 17.2 47 136

✰ 86 00 ✰ 7 01.1 ✰ 6 25.3 ✰ 5 49.8 4 20 31.4 4 20 52.7 4 21 14.2 3 18.3 49 138

✰ 87 00 ✰ 6 31.5 ✰ 5 56.1 ✰ 5 21.0 4 23 26.3 4 23 48.0 4 24 10.0 3 19.4 51 139

✰ 88 00 ✰ 6 02.7 ✰ 5 27.7 ✰ 4 53.0 4 26 27.4 4 26 49.4 4 27 11.7 3 20.6 52 140

✰ 89 00 ✰ 5 34.9 ✰ 5 00.2 ✰ 4 25.9 4 29 34.4 4 29 56.7 4 30 19.2 3 21.7 53 142

✰ 90 00 ✰ 5 08.0 ✰ 4 33.7 ✰ 3 59.8 4 32 47.2 4 33 09.6 4 33 32.1 3 22.9 55 144

✰ 91 00 ✰ 4 42.3 ✰ 4 08.3 ✰ 3 34.7 4 36 05.5 4 36 27.8 4 36 50.2 3 24.1 56 146

✰ 92 00 ✰ 4 17.7 ✰ 3 44.1 ✰ 3 10.8 4 39 28.9 4 39 51.0 4 40 13.3 3 25.2 58 148

✰ 93 00 ✰ 3 54.4 ✰ 3 21.1 ✰ 2 48.1 4 42 57.2 4 43 19.0 4 43 40.9 3 26.3 59 150

✰ 94 00 ✰ 3 32.5 ✰ 2 59.5 ✰ 2 26.8 4 46 29.9 4 46 51.3 4 47 12.6 3 27.4 60 153

✰ 95 00 ✰ 3 11.9 ✰ 2 39.3 ✰ 2 06.8 4 50 06.7 4 50 27.4 4 50 48.2 3 28.5 61 156

✰ 96 00 ✰ 2 53.0 ✰ 2 20.5 ✰ 1 48.3 4 53 46.9 4 54 07.0 4 54 27.0 3 29.4 62 159

✰ 97 00 ✰ 2 35.5 ✰ 2 03.3 ✰ 1 31.4 4 57 30.3 4 57 49.5 4 58 08.6 3 30.4 63 162

✰ 98 00 ✰ 2 19.7 ✰ 1 47.7 ✰ 1 16.0 5 01 16.2 5 01 34.4 5 01 52.6 3 31.2 64 166

✰ 99 00 ✰ 2 05.7 ✰ 1 33.8 ✰ 1 02.3 5 05 04.1 5 05 21.3 5 05 38.4 3 31.9 65 170

✰ 100 00 ✰ 1 53.3 ✰ 1 21.6 ✰ 0 50.2 5 08 53.5 5 09 09.5 5 09 25.4 3 32.6 65 174

✰ 101 00 ✰ 1 42.7 ✰ 1 11.1 ✰ 0 39.8 5 12 43.7 5 12 58.5 5 13 13.3 3 33.1 65 178

✰ 102 00 ✰ 1 33.9 ✰ 1 02.4 ✰ 0 31.2 5 16 34.3 5 16 47.8 5 17 01.3 3 33.6 66 183
ECLIPSES, 2019 81

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF DECEMBER 26

Latitude of: Universal Time at: On Central Line

Longitude Northern Central Southern Northern Central Southern Maximum Sun’s

Limit Line Limit Limit Line Limit Duration Alt. Az.

➦ ➦ ➦ ➦ ➦ ➦ ➦ ➦

hm s hm s hm s m s  

✰ 103 00 ✰ 1 26.9 ✰ 0 55.5 ✰ 0 24.3 5 20 24.7 5 20 36.9 5 20 49.0 3 33.9 66 187

✰ 104 00 ✰ 1 21.8 ✰ 0 50.3 ✰ 0 19.1 5 24 14.3 5 24 25.1 5 24 35.9 3 34.1 65 191

✰ 105 00 ✰ 1 18.4 ✰ 0 46.9 ✰ 0 15.7 5 28 02.6 5 28 12.0 5 28 21.5 3 34.2 65 195

✰ 106 00 ✰ 1 16.9 ✰ 0 45.3 ✰ 0 14.0 5 31 49.0 5 31 57.1 5 32 05.2 3 34.2 64 199

✰ 107 00 ✰ 1 17.1 ✰ 0 45.5 ✰ 0 14.1 5 35 33.1 5 35 39.9 5 35 46.7 3 34.0 64 203

✰ 108 00 ✰ 1 19.1 ✰ 0 47.3 ✰ 0 15.8 5 39 14.5 5 39 20.0 5 39 25.5 3 33.8 63 206

✰ 109 00 ✰ 1 22.8 ✰ 0 50.8 ✰ 0 19.2 5 42 52.6 5 42 56.8 5 43 01.1 3 33.4 62 210

✰ 110 00 ✰ 1 28.1 ✰ 0 56.0 ✰ 0 24.1 5 46 27.0 5 46 30.1 5 46 33.2 3 32.9 61 212

✰ 111 00 ✰ 1 35.1 ✰ 1 02.8 ✰ 0 30.7 5 49 57.5 5 49 59.5 5 50 01.5 3 32.4 60 215

✰ 112 00 ✰ 1 43.7 ✰ 1 11.1 ✰ 0 38.7 5 53 23.6 5 53 24.6 5 53 25.5 3 31.8 58 218

✰ 113 00 ✰ 1 53.7 ✰ 1 20.8 ✰ 0 48.2 5 56 45.0 5 56 45.1 5 56 45.1 3 31.1 57 220

✰ 114 00 ✰ 2 05.2 ✰ 1 32.0 ✰ 0 59.1 6 00 01.5 6 00 00.8 6 00 00.0 3 30.3 56 222

✰ 115 00 ✰ 2 18.1 ✰ 1 44.6 ✰ 1 11.4 6 03 12.9 6 03 11.4 6 03 09.9 3 29.5 55 223

✰ 116 00 ✰ 2 32.2 ✰ 1 58.4 ✰ 1 24.9 6 06 18.9 6 06 16.8 6 06 14.6 3 28.7 53 225

✰ 117 00 ✰ 2 47.7 ✰ 2 13.5 ✰ 1 39.6 6 09 19.4 6 09 16.8 6 09 14.0 3 27.8 52 226

✰ 118 00 ✰ 3 04.3 ✰ 2 29.7 ✰ 1 55.5 6 12 14.2 6 12 11.2 6 12 08.0 3 26.9 50 228

✰ 119 00 ✰ 3 22.0 ✰ 2 47.0 ✰ 2 12.4 6 15 03.2 6 14 59.9 6 14 56.4 3 26.0 49 229

✰ 120 00 ✰ 3 40.7 ✰ 3 05.4 ✰ 2 30.4 6 17 46.4 6 17 42.9 6 17 39.1 3 25.1 47 230

✰ 121 00 ✰ 4 00.4 ✰ 3 24.7 ✰ 2 49.3 6 20 23.7 6 20 20.1 6 20 16.2 3 24.1 46 231

✰ 122 00 ✰ 4 21.0 ✰ 3 44.9 ✰ 3 09.1 6 22 55.1 6 22 51.4 6 22 47.4 3 23.2 44 232

✰ 123 00 ✰ 4 42.4 ✰ 4 05.9 ✰ 3 29.7 6 25 20.5 6 25 16.9 6 25 13.0 3 22.2 43 232

✰ 124 00 ✰ 5 04.7 ✰ 4 27.7 ✰ 3 51.0 6 27 39.9 6 27 36.5 6 27 32.7 3 21.3 41 233

✰ 125 00 ✰ 5 27.6 ✰ 4 50.2 ✰ 4 13.1 6 29 53.5 6 29 50.3 6 29 46.7 3 20.4 40 234

✰ 126 00 ✰ 5 51.2 ✰ 5 13.3 ✰ 4 35.8 6 32 01.2 6 31 58.3 6 31 55.0 3 19.5 38 234

✰ 127 00 ✰ 6 15.3 ✰ 5 37.1 ✰ 4 59.1 6 34 03.1 6 34 00.6 6 33 57.7 3 18.6 37 235

✰ 128 00 ✰ 6 40.1 ✰ 6 01.4 ✰ 5 23.0 6 35 59.3 6 35 57.3 6 35 54.8 3 17.7 36 236

✰ 129 00 ✰ 7 05.3 ✰ 6 26.1 ✰ 5 47.3 6 37 49.8 6 37 48.3 6 37 46.3 3 16.9 34 236

✰ 130 00 ✰ 7 30.9 ✰ 6 51.3 ✰ 6 12.1 6 39 34.8 6 39 33.9 6 39 32.4 3 16.1 33 236

✰ 131 00 ✰ 7 57.0 ✰ 7 16.9 ✰ 6 37.3 6 41 14.3 6 41 14.1 6 41 13.2 3 15.3 31 237

✰ 132 00 ✰ 8 23.4 ✰ 7 42.9 ✰ 7 02.8 6 42 48.5 6 42 49.0 6 42 48.7 3 14.5 30 237

✰ 133 00 ✰ 8 50.1 ✰ 8 09.2 ✰ 7 28.6 6 44 17.5 6 44 18.7 6 44 19.1 3 13.7 29 238

✰ 134 00 ✰ 9 17.0 ✰ 8 35.7 ✰ 7 54.7 6 45 41.4 6 45 43.3 6 45 44.5 3 13.0 27 238

✰ 135 00 ✰ 9 44.2 ✰ 9 02.5 ✰ 8 21.1 6 47 00.3 6 47 03.0 6 47 04.9 3 12.3 26 238

✰ 136 00 ✰ 10 11.6 ✰ 9 29.5 ✰ 8 47.7 6 48 14.3 6 48 17.8 6 48 20.6 3 11.6 24 239

✰ 137 00 ✰ 10 39.2 ✰ 9 56.6 ✰ 9 14.4 6 49 23.6 6 49 28.0 6 49 31.5 3 10.9 23 239

✰ 138 00 ✰ 11 06.9 ✰ 10 23.9 ✰ 9 41.3 6 50 28.3 6 50 33.5 6 50 38.0 3 10.3 22 239

✰ 139 00 ✰ 11 34.7 ✰ 10 51.3 ✰ 10 08.3 6 51 28.5 6 51 34.6 6 51 39.9 3 09.6 21 240

✰ 140 00 ✰ 12 02.6 ✰ 11 18.8 ✰ 10 35.4 6 52 24.3 6 52 31.4 6 52 37.6 3 09.0 19 240

✰ 141 00 ✰ 12 30.6 ✰ 11 46.4 ✰ 11 02.5 6 53 16.0 6 53 24.0 6 53 31.0 3 08.4 18 240

✰ 142 00 ✰ 12 58.6 ✰ 12 14.0 ✰ 11 29.8 6 54 03.5 6 54 12.4 6 54 20.4 3 07.9 17 241

✰ 143 00 ✰ 13 26.6 ✰ 12 41.6 ✰ 11 57.0 6 54 47.0 6 54 56.9 6 55 05.8 3 07.3 16 241

✰ 144 00 ✰ 13 54.6 ✰ 13 09.2 ✰ 12 24.2 6 55 26.7 6 55 37.6 6 55 47.4 3 06.8 14 241

✰ 145 00 ✰ 14 22.6 ✰ 13 36.8 ✰ 12 51.5 6 56 02.7 6 56 14.5 6 56 25.2 3 06.3 13 242

✰ 146 00 ✰ 14 50.6 ✰ 14 04.4 ✰ 13 18.6 6 56 35.0 6 56 47.8 6 56 59.5 3 05.8 12 242

✰ 147 00 ✰ 15 18.4 ✰ 14 31.9 ✰ 13 45.8 6 57 03.9 6 57 17.6 6 57 30.2 3 05.3 11 242

✰ 148 00 ✰ 15 46.3 ✰ 14 59.4 ✰ 14 12.9 6 57 29.3 6 57 44.0 6 57 57.5 3 04.9 10 243

✰ 149 00 ✰ 16 14.0 ✰ 15 26.8 ✰ 14 39.9 6 57 51.5 6 58 07.2 6 58 21.6 3 04.4 8 243

✰ 150 00 ✰ 16 41.7 ✰ 15 54.1 ✰ 15 06.9 6 58 11.2 6 58 27.1 6 58 42.7 3 04.0 7 243

✰ 151 00 ✰ 17 09.2 ✰ 16 21.2 ✰ 15 33.7 6 58 26.7 6 58 42.5 6 59 00.2 3 03.6 6 243

✰ 152 00 ✰ 17 36.5 ✰ 16 48.3 ✰ 16 00.4 6 58 36.7 6 58 57.4 6 59 13.2 3 03.2 5 244

For limits, see Circumstances of the Eclipse.

TRANSIT OF MERCURY, 2019 83

A transit of Mercury over the disk of the Sun will occur on November 11. The entire

transit will be visible in eastern North America, South America, Antarctica, extreme

southern Greenland, extreme western Africa, and the Atlantic Ocean.

The times provided in the following tables are given provisionally in Universal Time,

using ✁❚ ✭❆✮  ✰69s

.0. Once the value of ✁❚ is known, the data on these pages may

be expressed in Universal Time as follows:

Define ✂❚  ✁❚ ✕✁❚ ✭❆✮, in units of seconds of time.

Change the times given in provisional Universal Time by subtracting ✂❚ .

Apply the correction 0.00417807 ✂❚ to the longitudes in such a way that if ✂❚

is positive, the longitudes shift to the east.

Leave all other quantities unchanged.

Longitude is positive to the east and negative to the west.

GEOCENTRIC PHASES

Position Mercury being in the Zenith in

UT Angle P Longitude Latitude

d hm s ➦ ➦ ✄ ➦ ✄

Ingress, exterior contact November 11 12 35 27.2 109.8 ❾ 12 36.2 ❾ 17 30.5

Ingress, interior contact 11 12 37 08.5 109.8 ❾ 13 01.7 ❾ 17 30.5

Least angular distance 11 15 19 48.3 24.3 ❾ 53 56.8 ❾ 17 25.8

Egress, interior contact 11 18 02 33.3 298.8 ❾ 94 53.1 ❾ 17 21.0

Egress, exterior contact 11 18 04 14.7 298.7 ❾ 95 18.6 ❾ 17 21.0

Least angular distance: 1☎

15☎☎.9

The position angle P of the point of contact is reckoned from the north point of the

limb of the Sun towards the east as viewed at the geocenter.

The position angle V of the point of contact, reckoned from the vertex of the limb of

the Sun towards the east, is found by:

V=P ✕ C

where C, the parallactic angle, is given by:

t✆♥ ❈ 

❝✝s ✞☎s✟♥ ❤

s✟♥ ✞☎❝✝s ✂ ✕ ❝✝s ✞☎s✟♥ ✂ ❝✝s ❤

in which ✞☎

is the geocentric latitude of the place, ✂ is the declination of the Sun, and ❤

is the local hour angle of the Sun; sin C has the same algebraic sign as sin ❤.
TRANSIT OF MERCURY OF 2019 NOVEMBER 11

Ingress Ingress Least Egress 

Location Position Exterior Contact Interior Contact Angular Distance Interior Conta

Latitude Longitude UT P UT P UT Separation UT 

United States

➦



➦

 hm s

➦hm s

➦hm s



✂

✂hm s

Hartford, CT

✰41 46.2

❾72 40.6 12 36 03.4 109.9 12 37 44.6 109.9 15 20 12.8 1 13.2 18 02 39.8 2

Boston, MA

✰42 20.0

❾71 05.0 12 36 02.9 109.9 12 37 44.2 109.9 15 20 12.0 1 13.1 18 02 39.2 2

New York, NY

✰40 44.0

❾74 00.0 12 36 03.9 109.9 12 37 45.2 109.9 15 20 13.4 1 13.2 18 02 40.1 2

Washington, DC

✰38 53.7

❾77 02.2 12 36 04.9 109.9 12 37 46.2 109.9 15 20 14.7 1 13.4 18 02 40.9 2

Raleigh, NC

✰35 49.1

❾78 38.7 12 36 05.8 109.9 12 37 47.1 109.9 15 20 15.5 1 13.6 18 02 40.8 2

Atlanta, GA

✰33 45.3

❾84 23.4 12 36 07.1 109.9 12 37 48.4 109.9 15 20 18.1 1 13.9 18 02 43.2 2

Miami, FL

✰25 45.0

❾80 15.0 12 36 07.5 109.9 12 37 48.8 109.8 15 20 15.8 1 14.2 18 02 38.4 2

Montgomery, AL

✰32 21.7

❾86 16.8 12 36 07.5 109.9 12 37 48.8 109.8 15 20 18.9 1 14.0 18 02 43.9 2

Detroit, MI

✰42 19.9

❾83 02.8 12 36 04.9 109.9 12 37 46.3 109.9 15 20 17.2 1 13.4 18 02 44.9 2

Indianapolis, IN

✰39 47.5

❾86 08.9 12 36 05.9 109.9 12 37 47.3 109.9 15 20 18.6 1 13.6 18 02 45.8 2

Chicago, IL

✰41 50.0

❾87 38.0 . .. .. . .. . . .. .. . .. . 15 20 19.0 1 13.6 18 02 47.0 2

Milwaukee, WI

✰43 03.0

❾87 57.0 . .. .. . .. . . .. .. . .. . 15 20 19.0 1 13.5 18 02 47.4 2

Minneapolis, MN

✰44 58.8

❾93 15.1 . .. .. . .. . . .. .. . .. . 15 20 20.6 1 13.6 18 02 50.3 2

St. Louis, MO

✰38 40.0

❾90 15.0 . .. .. . .. . . .. .. . .. . 15 20 20.3 1 13.8 18 02 47.6 2

Louisville, KY

✰38 15.3

❾85 45.6 12 36 06.3 109.9 12 37 47.6 109.9 15 20 18.5 1 13.7 18 02 45.2 2

Lincoln, NE

✰40 48.6

❾96 40.5 . .. .. . .. . . .. .. . .. . 15 20 22.3 1 13.8 18 02 51.2 2

Oklahoma City, OK

✰35 28.9

❾97 32.1 . .. .. . .. . . .. .. . .. . 15 20 23.2 1 14.1 18 02 50.7 2

Denver, CO

✰39 44.4

❾104 59.1 . .. .. . .. . . .. .. . .. . 15 20 24.9 1 14.1 18 02 55.0 2

Salt Lake City, UT

✰40 45.0

❾111 55.0 . .. .. . .. . . .. .. . .. . 15 20 26.4 1 14.2 18 02 58.3 2

Dallas, TX

✰32 47.0

❾96 48.2 . .. .. . .. . . .. .. . .. . 15 20 23.1 1 14.3 18 02 49.7 2

Houston, TX

✰29 45.0

❾95 25.0 . .. .. . .. . . .. .. . .. . 15 20 22.7 1 14.4 18 02 48.3 2

Albuquerque, NM

✰35 06.6

❾106 36.6 . .. .. . .. . . .. .. . .. . 15 20 26.0 1 14.4 18 02 55.2 2

Las Vegas, NV

✰36 10.6

❾115 08.2 . .. .. . .. . . .. .. . .. . 15 20 27.8 1 14.6 18 02 59.4 2

Los Angeles, CA

✰34 03.0

❾118 15.0 . .. .. . .. . . .. .. . .. . 15 20 28.7 1 14.8 18 03 00.7 2

San Diego, CA

✰32 42.9

❾117 09.7 . .. .. . .. . . .. .. . .. . 15 20 28.6 1 14.9 18 03 00.0 2

San Francisco, CA

✰37 46.8

❾122 25.2 . .. .. . .. . . .. .. . .. . 15 20 28.7 1 14.7 18 03 02.7 2

Portland, OR

✰45 32.0

❾122 40.0 . .. .. . .. . . .. .. . .. . 15 20 26.9 1 14.2 18 03 02.7 2

Seattle, WA

✰47 36.6

❾122 20.0 . .. .. . .. . . .. .. . .. . 15 20 26.3 1 14.1 18 03 02.5 2

Canada

St. John’s, Nfld.

✰47 34.1

❾52 42.4 12 35 56.6 110.0 12 37 37.8 109.9 15 20 03.9 1 12.5 18 02 33.7 2

Moncton, N.B.

✰46 07.0

❾64 48.2 12 36 00.4 110.0 12 37 41.7 109.9 15 20 09.3 1 12.8 18 02 37.9 2

Halifax,N.S.

✰44 38.0

❾63 35.0 12 36 00.5 110.0 12 37 41.7 109.9 15 20 08.7 1 12.8 18 02 36.7 2

Charlottetown, P.E.I.

✰46 14.4

❾63 08.4 12 36 00.0 110.0 12 37 41.2 109.9 15 20 08.5 1 12.8 18 02 37.2 2

Montreal, Que.

✰45 30.5

❾73 33.2 12 36 02.5 110.0 12 37 43.8 109.9 15 20 13.1 1 13.0 18 02 41.5 2

Toronto, Ont.

✰43 43.0

❾79 20.4 12 36 04.0 109.9 12 37 45.3 109.9 15 20 15.6 1 13.3 18 02 43.5 2

Thunder Bay, Ont.

✰48 22.9

❾89 14.8 . .. .. . .. . . .. .. . .. . 15 20 18.7 1 13.3 18 02 49.2 2

Winnipeg, Man.

✰49 54.0

❾97 08.0 . .. .. . .. . . .. .. . .. . 15 20 20.8 1 13.4 18 02 52.7 2

Edmonton, Alta.

✰53 34.6

❾113 31.0 . .. .. . .. . . .. .. . .. . 15 20 23.2 1 13.6 18 02 59.1 2

Iqaluit, Nunavut

✰63 44.9

❾68 31.2 . .. .. . .. . . .. .. . .. . 15 20 09.9 1 12.4 18 02 45.6 2

Vancouver, B.C.

✰49 15.0

❾123 06.0 . .. .. . .. . . .. .. . .. . 15 20 25.8 1 14.0 18 03 02.6 2
Ingress Ingress Least Egress 

Location Position Exterior Contact Interior Contact Angular Distance Interior Contac

Latitude Longitude UT P UT P UT Separation UT 

➦➦ hm s ➦hm s ➦hm s ✂✂hm s 

Martinique Fort-de-France ✰14 36.0 ❾61 05.0 12 36 01.9 109.9 12 37 43.2 109.8 15 20 02.9 1 14.2 18 02 23.1 29

Bermuda Hamilton ✰32 18.0 ❾64 48.0 12 36 03.0 109.9 12 37 44.3 109.9 15 20 08.2 1 13.4 18 02 32.3 29Puerto Rico San Juan ✰18 29.0 ❾66 08.0 12 36 04.0 109.9 12 37 45.2 109.8 15 20 06.9 1 14.1 18 02 27.5 29Haiti Port-au-Prince ✰18 32.0 ❾72 20.0 12 36 05.9 109.9 12 37 47.1 109.8 15 20 10.5 1 14.3 18 02 31.2 29Jamaica Kingston ✰17 58.0 ❾76 48.0 12 36 07.0 109.8 12 37 48.3 109.8 15 20 13.0 1 14.5 18 02 33.7 29Bahamas Nassau ✰25 03.6 ❾77 20.7 12 36 06.9 109.9 12 37 48.2 109.8 15 20 14.2 1 14.1 18 02 36.5 29Cuba Havana ✰23 08.0 ❾82 23.0 12 36 08.0 109.9 12 37 49.3 109.8 15 20 16.6 1 14.4 18 02 38.9 29Mexico

Mexico City ✰19 25.0 ❾99 10.0 . .. .. . .. . . .. .. . .. . 15 20 23.7 1 15.1 18 02 47.9 29

Monterrey ✰25 40.0 ❾100 20.0 . .. .. . .. . . .. .. . .. . 15 20 24.5 1 14.8 18 02 50.1 29Guadalajara ✰20 40.0 ❾103 21.0 . .. .. . .. . . .. .. . .. . 15 20 25.3 1 15.2 18 02 50.6 29Veracruz ✰19 26.1 ❾96 23.0 12 36 09.2 109.8 12 37 50.6 109.8 15 20 22.7 1 15.0 18 02 46.2 29

Guatemala Guatemala City ✰14 38.0 ❾90 22.0 12 36 08.9 109.8 12 37 50.2 109.8 15 20 19.4 1 15.1 18 02 41.1 29El Salvador San Salvador ✰13 40.0 ❾89 10.0 12 36 08.7 109.8 12 37 50.1 109.8 15 20 18.7 1 15.1 18 02 40.0 29Honduras Tegucigalpa ✰14 05.0 ❾87 14.0 12 36 08.6 109.8 12 37 49.9 109.8 15 20 17.8 1 15.1 18 02 38.9 29Belize Belmopan ✰17 13.0 ❾88 48.0 12 36 08.8 109.8 12 37 50.2 109.8 15 20 19.1 1 14.9 18 02 40.9 29Nicaragua Managua ✰12 06.0 ❾86 18.0 12 36 08.3 109.8 12 37 49.6 109.8 15 20 17.0 1 15.1 18 02 37.7 29Venezuela Caracas ✰10 30.0 ❾66 55.0 12 36 03.6 109.8 12 37 44.9 109.8 15 20 05.6 1 14.6 18 02 25.0 29Costa Rica San Jose ✰9 59.0 ❾84 04.0 12 36 07.8 109.8 12 37 49.1 109.8 15 20 15.5 1 15.2 18 02 35.6 29Panama Panama City ✰8 57.0 ❾79 30.0 12 36 06.9 109.8 12 37 48.2 109.8 15 20 12.8 1 15.1 18 02 32.3 29Argentina

Buenos Aires ❾34 40.0 ❾58 30.0 12 35 45.3 109.7 12 37 26.6 109.7 15 19 46.6 1 17.2 18 02 08.4 29

Cordoba ❾31 25.0 ❾64 11.0 12 35 48.9 109.7 12 37 30.2 109.7 15 19 50.8 1 17.1 18 02 11.7 29

Falkland Islands Stanley ❾51 41.5 ❾57 51.5 12 35 35.9 109.7 12 37 17.2 109.6 15 19 40.9 1 18.1 18 02 07.4 29Brazil

Recife ❾8 03.0 ❾34 54.0 12 35 44.0 109.8 12 37 25.1 109.8 15 19 39.2 1 14.8 18 02 02.0 29

Rio de Janeiro ❾22 54.5 ❾43 11.8 12 35 43.8 109.8 12 37 25.0 109.7 15 19 40.8 1 16.0 18 02 02.7 29Belo Horizonte ❾19 55.1 ❾43 56.3 12 35 45.3 109.8 12 37 26.5 109.7 15 19 42.0 1 15.8 18 02 03.5 29Sao Paolo ❾23 33.0 ❾46 38.0 12 35 45.3 109.8 12 37 26.5 109.7 15 19 42.8 1 16.1 18 02 04.1 29
TRANSIT OF MERCURY OF 2019 NOVEMBER 11

Ingress Ingress Least Egress 

Location Position Exterior Contact Interior Contact Angular Distance Interior Contac

Latitude Longitude UT P UT P UT Separation UT 

Brazil

➦



➦

 hm s

➦hm s

➦hm s



✂

✂hm s

Brasilia

❾15 45.0

❾47 57.0 12 35 48.9 109.8 12 37 30.0 109.7 15 19 45.8 1 15.7 18 02 06.2 2

Porto Alegre

❾30 02.0

❾51 13.8 12 35 44.7 109.7 12 37 25.9 109.7 15 19 43.8 1 16.7 18 02 05.5 2

Chile

Santiago

❾33 30.0

❾70 40.0 12 35 49.7 109.7 12 37 31.0 109.6 15 19 53.5 1 17.4 18 02 14.7 2

Concepcion

❾36 50.0

❾73 03.0 12 35 48.4 109.7 12 37 29.7 109.6 15 19 53.3 1 17.7 18 02 15.3 2

Colombia

Medellin

✰6 14.2

❾75 34.5 12 36 05.6 109.8 12 37 46.9 109.8 15 20 09.9 1 15.1 18 02 28.9 2

Bogota

✰4 38.0

❾74 05.0 12 36 04.9 109.8 12 37 46.2 109.8 15 20 08.6 1 15.2 18 02 27.4 2

Guyana Georgetown

✰6 46.0

❾58 10.0 12 35 59.7 109.8 12 37 40.9 109.8 15 19 59.1 1 14.5 18 02 18.5 2

Suriname Paramaribo

✰5 52.0

❾55 14.0 12 35 58.3 109.8 12 37 39.5 109.8 15 19 56.9 1 14.5 18 02 16.5 2

French Guiana Cayenne

✰4 55.0

❾52 18.0 12 35 56.7 109.8 12 37 37.9 109.8 15 19 54.6 1 14.5 18 02 14.5 2

Bolivia

Santa Cruz

❾17 45.0

❾63 14.0 12 35 54.8 109.7 12 37 36.0 109.7 15 19 55.0 1 16.2 18 02 13.9 2

Cochabamba

❾17 23.0

❾66 10.0 12 35 55.9 109.7 12 37 37.2 109.7 15 19 56.9 1 16.3 18 02 15.7 2

Paraguay Asuncion

❾25 15.0

❾57 40.0 12 35 49.5 109.7 12 37 30.7 109.7 15 19 49.1 1 16.5 18 02 09.3 2

Ecuador Quito

❾0 15.0

❾78 35.0 12 36 05.0 109.8 12 37 46.3 109.7 15 20 09.9 1 15.6 18 02 28.6 2

Peru Lima

❾12 06.0

❾77 03.0 12 36 01.0 109.7 12 37 42.4 109.7 15 20 05.2 1 16.3 18 02 23.8 2

Uruguay Montevideo

❾34 53.0

❾56 10.0 12 35 44.4 109.7 12 37 25.6 109.7 15 19 45.2 1 17.1 18 02 07.3 2

Easter Island Hanga Roa

❾27 09.0

❾109 26.0 12 35 55.6 109.7 12 37 37.1 109.6 15 20 12.4 1 18.2 18 02 37.9 2

Pitcairn Islands Adamstown

❾25 04.0

❾130 06.0 . .. .. . .. . . .. .. . .. . 15 20 16.9 1 18.7 18 02 48.8 2

French Polynesia Papeete, Tahiti

❾17 32.0

❾149 34.0 . .. .. . .. . . .. .. . .. . 15 20 19.7 1 18.7 18 02 59.4 2

Kenya Nairobi

❾1 17.0

✰36 49.0 12 34 59.6 110.0 12 36 40.8 109.9 15 19 09.0 1 14.3 .. .. .. . . 

Mozambique Maputo

❾25 58.0

✰32 35.0 12 34 58.7 109.9 12 36 39.9 109.8 15 19 06.6 1 15.9 .. .. .. . . 

Uganda Kampala

✰0 18.8

✰32 34.9 12 35 02.2 110.0 12 36 43.4 109.9 15 19 10.0 1 14.2 .. .. .. . . 

Zimbabwe Harare

❾17 51.8

✰31 01.8 12 35 00.0 109.9 12 36 41.2 109.8 15 19 07.0 1 15.3 .. .. .. . . 

Zambia Lusaka

❾15 25.0

✰28 17.0 12 35 01.8 109.9 12 36 42.9 109.9 15 19 07.7 1 15.1 .. .. .. . . 

South Africa, Rep. of

Johannesburg

❾26 12.3

✰28 02.7 12 35 01.0 109.9 12 36 42.2 109.8 15 19 07.3 1 15.9 .. .. .. . . 

Cape Town

❾33 55.5

✰18 25.4 12 35 05.8 109.8 12 36 46.9 109.8 15 19 10.0 1 16.3 .. .. .. . . 

Namibia Windhoek

❾22 34.2

✰17 05.0 12 35 07.3 109.9 12 36 48.5 109.8 15 19 10.0 1 15.5 .. .. .. . . 

Angola Luanda

❾8 50.3

✰13 14.1 12 35 11.9 109.9 12 36 53.0 109.9 15 19 12.8 1 14.5 .. .. .. . . 
Ingress Ingress Least Egress 

Location Position Exterior Contact Interior Contact Angular Distance Interior Contac

Latitude Longitude UT P UT P UT Separation UT 

➦➦ hm s ➦hm s ➦hm s ✂✂hm s 

Congo, Democratic Republic of Kinshasa ❾4 19.5 ✰15 19.3 12 35 11.5 109.9 12 36 52.6 109.9 15 19 13.0 1 14.2 .. .. .. . . 

Libya

Benghazi ✰32 07.0 ✰20 04.0 12 35 19.3 110.0 12 37 00.5 110.0 15 19 26.8 1 12.4 .. .. .. . . 

Tripoli ✰32 54.1 ✰13 11.1 12 35 23.3 110.0 12 37 04.4 110.0 15 19 29.1 1 12.3 .. .. .. . . 

Central African Republic Bangui ✰4 22.0 ✰18 35.0 12 35 11.4 110.0 12 36 52.5 109.9 15 19 14.5 1 13.7 .. .. .. . . Chad N’Djamena ✰12 06.7 ✰15 02.1 12 35 15.8 110.0 12 36 56.9 109.9 15 19 18.4 1 13.2 .. .. .. . . Tunisia Tunis ✰36 48.0 ✰10 11.0 12 35 26.2 110.1 12 37 07.3 110.0 15 19 32.2 1 12.2 .. .. .. . . Cameroon Yaounde ✰3 52.0 ✰11 31.0 12 35 15.9 110.0 12 36 57.0 109.9 15 19 16.7 1 13.7 .. .. .. . . Nigeria Lagos ✰6 27.2 ✰3 23.8 12 35 21.9 110.0 12 37 03.0 109.9 15 19 20.9 1 13.5 .. .. .. . . Algeria Algiers ✰36 42.0 ✰3 13.0 12 35 29.9 110.0 12 37 11.0 110.0 15 19 34.5 1 12.2 .. .. .. . . Niger Niamey ✰13 31.3 ✰2 06.3 12 35 24.6 110.0 12 37 05.7 109.9 15 19 24.1 1 13.1 .. .. .. . . Ghana Accra ✰5 33.0 ❾0 12.0 12 35 24.2 110.0 12 37 05.3 109.9 15 19 22.3 1 13.6 .. .. .. . . Ivory Coast Abidjan ✰5 20.2 ❾4 01.6 12 35 26.7 109.9 12 37 07.8 109.9 15 19 24.2 1 13.6 .. .. .. . . Morocco Rabat ✰34 02.0 ❾6 50.0 12 35 35.0 110.0 12 37 16.1 110.0 15 19 37.3 1 12.3 .. .. .. . . Mali Bamako ✰12 39.0 ❾8 00.0 12 35 31.2 110.0 12 37 12.3 109.9 15 19 28.8 1 13.2 .. .. .. . . Liberia Monrovia ✰6 19.0 ❾10 46.8 12 35 31.6 109.9 12 37 12.7 109.9 15 19 28.1 1 13.6 18 01 59.6 2

Western Sahara El Aaiun ✰27 09.2 ❾13 12.2 12 35 37.5 110.0 12 37 18.6 110.0 15 19 37.3 1 12.6 .. .. .. . . 

Sierra Leone Freetown ✰8 29.1 ❾13 14.1 12 35 33.8 109.9 12 37 14.9 109.9 15 19 30.2 1 13.5 18 02 00.9 2

Guinea-Bissau Bissau ✰11 51.0 ❾15 34.0 12 35 36.1 109.9 12 37 17.2 109.9 15 19 32.7 1 13.3 18 02 02.9 2Mauritania Nouakchott ✰18 06.0 ❾15 57.0 12 35 37.6 110.0 12 37 18.7 109.9 15 19 35.2 1 13.0 18 02 06.0 2Senegal Dakar ✰14 41.6 ❾17 26.8 12 35 37.9 110.0 12 37 19.0 109.9 15 19 34.8 1 13.2 18 02 04.6 2

Albania Tirana ✰41 19.8 ✰19 49.2 12 35 22.9 110.1 12 37 04.1 110.0 15 19 32.4 1 12.1 .. .. .. . . 

Bosnia-Herzegovina Sarajevo ✰43 50.9 ✰18 21.4 12 35 24.5 110.1 12 37 05.7 110.0 15 19 34.3 1 12.0 .. .. .. . . Austria Vienna ✰48 12.5 ✰16 22.4 12 35 27.0 110.1 12 37 08.2 110.0 15 19 37.5 1 12.0 .. .. .. . . Croatia Zagreb ✰45 49.0 ✰15 59.0 12 35 26.3 110.1 12 37 07.5 110.0 15 19 36.0 1 12.0 .. .. .. . . Czech Republic Prague ✰50 05.0 ✰14 25.0 12 35 28.5 110.1 12 37 09.7 110.0 15 19 39.1 1 11.9 .. .. .. . . Germany

Munich ✰48 08.0 ✰11 34.0 12 35 29.1 110.1 12 37 10.2 110.0 15 19 38.5 1 11.9 .. .. .. . . 

Stuttgart ✰48 46.7 ✰9 10.8 12 35 30.3 110.1 12 37 11.5 110.0 15 19 39.6 1 11.9 .. .. .. . . 
TRANSIT OF MERCURY OF 2019 NOVEMBER 11

Ingress Ingress Least Egres

Location Position Exterior Contact Interior Contact Angular Distance Interior Co

Latitude Longitude UT P UT P UT Separation UT 

Germany ➦



➦

 hm s

➦hm s

➦hm s



✂

✂hm s

Dusseldorf

✰51 14.2

✰6 47.0 12 35 32.0 110.1 12 37 13.2 110.0 15 19 41.7 1 11.9 .. .. .. . 

San Marino San Marino

✰43 56.0

✰12 26.0 12 35 27.3 110.1 12 37 08.5 110.0 15 19 35.8 1 12.0 .. .. .. . 

Italy

Rome

✰41 54.0

✰12 30.0 12 35 26.6 110.1 12 37 07.8 110.0 15 19 34.5 1 12.1 .. .. .. . 

Milan

✰45 27.8

✰9 11.4 12 35 29.3 110.1 12 37 10.5 110.0 15 19 37.6 1 12.0 .. .. .. . 

Switzerland Zurich

✰47 22.0

✰8 33.0 12 35 30.2 110.1 12 37 11.3 110.0 15 19 38.9 1 11.9 .. .. .. . 

Netherlands Amsterdam

✰52 22.4

✰4 53.5 12 35 33.1 110.1 12 37 14.3 110.0 15 19 42.9 1 11.9 .. .. .. . 

France

Ajaccio, Corsica

✰41 55.6

✰8 44.2 12 35 28.5 110.1 12 37 09.6 110.0 15 19 35.6 1 12.0 .. .. .. . 

Marseille

✰43 17.8

✰5 22.2 12 35 30.5 110.1 12 37 11.7 110.0 15 19 37.4 1 12.0 .. .. .. . 

Paris

✰48 51.4

✰2 21.0 12 35 33.4 110.1 12 37 14.5 110.0 15 19 41.6 1 11.9 .. .. .. . 

Spain

Barcelona

✰41 23.0

✰2 11.0 12 35 31.6 110.1 12 37 12.8 110.0 15 19 37.4 1 12.0 .. .. .. . 

Madrid

✰40 24.0

❾3 41.0 12 35 34.5 110.0 12 37 15.6 110.0 15 19 39.1 1 12.1 .. .. .. . 

United Kingdom

London

✰51 30.5

❾0 07.5 12 35 35.1 110.1 12 37 16.2 110.0 15 19 43.8 1 11.9 .. .. .. . 

Birmingham

✰52 29.0

❾1 53.6 12 35 36.0 110.1 12 37 17.2 110.0 15 19 44.9 1 11.9 .. .. .. . 

Edinburgh

✰55 57.0

❾3 09.6 12 35 37.1 110.1 12 37 18.3 110.0 15 19 47.1 1 11.8 .. .. .. . 

Taunton

✰51 01.1

❾3 06.0 12 35 36.2 110.1 12 37 17.4 110.0 15 19 44.5 1 11.9 .. .. .. . 

Ireland Dublin

✰53 20.9

❾6 15.6 12 35 38.0 110.1 12 37 19.2 110.0 15 19 46.7 1 11.9 .. .. .. . 

Faroe Islands Torshavn

✰62 00.0

❾6 47.0 12 35 39.3 110.1 12 37 20.5 110.0 15 19 51.3 1 11.8 .. .. .. . 

Portugal Lisbon

✰38 42.8

❾9 08.4 12 35 37.1 110.0 12 37 18.2 110.0 15 19 40.5 1 12.1 .. .. .. . 

Ascension Island Georgetown

❾7 55.7

❾14 24.7 12 35 30.7 109.9 12 37 11.8 109.8 15 19 26.3 1 14.5 18 01 55.7 

Canary Islands Las Palmas de Gran Canaria

✰28 09.0

❾15 25.0 12 35 39.0 110.0 12 37 20.1 110.0 15 19 38.9 1 12.5 18 02 11.3 

Madeira Funchal

✰32 39.1

❾16 54.6 12 35 40.5 110.0 12 37 21.7 110.0 15 19 41.5 1 12.4 18 02 14.3 

Iceland Reykjavik

✰64 08.0

❾21 56.0 12 35 44.0 110.1 12 37 25.3 110.0 15 19 56.3 1 11.9 .. .. .. . 

Cape Verde Islands Praia, Santiago

✰14 55.2

❾23 30.5 12 35 41.9 109.9 12 37 23.0 109.9 15 19 38.6 1 13.2 18 02 06.3 

Azores Ponta Delgada

✰37 44.0

❾25 40.0 12 35 45.8 110.0 12 37 26.9 110.0 15 19 48.0 1 12.3 18 02 19.4 

South Georgia Grytviken

❾54 16.9

❾36 30.5 12 35 27.9 109.7 12 37 09.1 109.6 15 19 31.6 1 17.9 18 02 01.2 

Greenland Nuuk

✰64 10.0

❾51 44.0 12 35 51.7 110.0 12 37 33.0 110.0 15 20 05.0 1 12.2 18 02 41.4 
RELATED PUBLICATIONS 89

Joint publications of HM Nautical Almanac Office (UKHO) and the United States Naval

Observatory

These publications are available from UKHO Distributors and the Superintendent of Documents, U.S. Government Printing Office (USGPO) except where noted.

The Astronomical Almanac (AsA) and The Astronomical Almanac Online (AsA Online)

contain ephemerides of the Sun, Moon, planets and their natural satellites, as well as data on

eclipses and other astronomical phenomena. The AsA is an annual volume while AsA Online

is updated annually. The data are calculated cooperatively by the British and American offices.

A full list of contributors is given on page vii of the AsA (UKHO GP100) and on AsA Online.

The Nautical Almanac contains ephemerides at an interval of one hour and auxiliary

astronomical data for marine navigation. (UKHO NP314)

The Air Almanac contains ephemerides at an interval of ten minutes and auxiliary astronomical data for air navigation. This publication is now distributed solely on CD-ROM and is

only available from USGPO.

Rapid Sight Reduction Tables for Navigation (AP 3270 / NP 303), 3 volumes, formerly

entitled Sight Reduction Tables for Air Navigation. Volume 1, selected stars for epoch 2020·0,

containing the altitude to 1′

and true azimuth to 1◦for the seven stars most suitable for

navigation, for all latitudes and hour angles of Aries.

Other publications of HM Nautical Almanac Office (UKHO)

The Star Almanac for Land Surveyors (NP 321) contains the Greenwich hour angle of

Aries and the position of the Sun, tabulated for every six hours, and represented by monthly

polynomial coefficients. Positions of all stars brighter than magnitude 4·0 are tabulated monthly

to a precision of 0s

.1 in right ascension and 1′′ in declination. A CD-ROM is included which

contains the electronic edition plus coefficients, in ASCII format, representing the data.

NavPac and Compact Data for 2016–2020 (DP 330) contains software, algorithms and data,

which are mainly in the form of polynomial coefficients, for calculating the positions of

the Sun, Moon, navigational planets and bright stars. It enables navigators to compute their

position at sea from sextant observations using Windows OS XP/Vista/7/8/10 for the period

1986–2020. The tabular data are also supplied as ASCII files on the CD-ROM.

Planetary and Lunar Coordinates, 2001–2020 provides low-precision astronomical data and

phenomena for use well in advance of the annual ephemerides. It contains heliocentric,

geocentric, spherical and rectangular coordinates of the Sun, Moon and planets, eclipse maps

and auxiliary data. All the tabular ephemerides are supplied solely on CD-ROM as ASCII and

Adobe’s portable document format files. The full printed edition is published in the United

States by Willmann-Bell Inc, PO Box 35025, Richmond VA 23235, USA.

Rapid Sight Reduction Tables for Navigation (AP 3270 / NP 303), 3 volumes, formerly

entitled Sight Reduction Tables for Air Navigation. Volumes 2 and 3 contain altitudes to 1′

and azimuths to 1◦for integral degrees of declination from N 29◦to S 29◦, for relevant latitudes

and all hour angles at which the zenith distance is less than 95◦ providing for sights of the

Sun, Moon and planets.

The UK Air Almanac (AP1602) contains data useful in the planning of activities where

the level of illumination is important, particularly aircraft movements, and is produced to

the general requirements of the Royal Air Force. It may be downloaded from the website

http://astro.ukho.gov.uk/nao/publicat/ukaa.html.

NAO Technical Notes are issued irregularly to disseminate astronomical data concerning

ephemerides or astronomical phenomena.
90 RELATED PUBLICATIONS

Other publications of the United States Naval Observatory

Astronomical Papers of the American Ephemeris† are issued irregularly and contain reports

of research in celestial mechanics with particular relevance to ephemerides.

U.S. Naval Observatory Circulars† are issued irregularly to disseminate astronomical data

concerning ephemerides or astronomical phenomena.

U.S. Naval Observatory Circular No. 179, The IAU Resolutions on Astronomical Reference

Systems, Time Scales, and Earth Rotation Models explains resolutions and their effects on the

data (see Web Links).

Explanatory Supplement to The Astronomical Almanac, (3rd edition). This book is an

authoritative source on the basis and derivation of information contained in The Astronomical

Almanac. It contains material that is relevant to positional and dynamical astronomy and

to chronology. The publication is a collaborative work with authors from the U.S. Naval

Observatory, H.M. Nautical Almanac Office, the Jet Propulsion Laboratory, and others. This

edition is published by and available from University Science Books, whose UK distributor is

Palgrave Macmillan.

MICA is an interactive astronomical almanac for professional applications. Software for

both PC systems with Intel processors and Apple Macintosh computers is provided on a

single CD-ROM. MICA allows a user to compute, to full precision, much of the tabular data

contained in The Astronomical Almanac, as well as data for specific times and locations. All

calculations are made in real time and data are not interpolated from tables. MICA is a product

of the U.S. Naval Observatory; it is published by and available from Willmann-Bell Inc. The

latest version covers the interval 1800-2050.

† Many of these publications are available from the Nautical Almanac Office, U.S. Naval

Observatory, Washington, DC 20392-5420, see Web Links on the next page for availability.

Publications of other countries

Apparent Places of Fundamental Stars is prepared by the Astronomisches Rechen-Institut,

Heidelberg (http://www.ari.uni-heidelberg.de). The printed version of APFS gives the data

for a few fundamental stars only, together with the explanation and examples. The apparent

places of stars using the FK6 or Hipparcos catalogues are provided by the on-line database

ARIAPFS (http://www.ari.uni-heidelberg.de/ariapfs). The printed booklet also contains the

so-called ‘10-Day-Stars’ and the ‘Circumpolar Stars’ and is available from Der Kleine Buch

Verlag, Leopoldstrasse 7b, 76133 Karlsruhe, Germany.

Ephemerides of Minor Planets is prepared annually by the Institute of Applied Astronomy

(http://www.ipa.nw.ru), and published by the Russian Academy of Sciences. Included in this

volume are elements, opposition dates and opposition ephemerides of all numbered minor

planets. This volume is available from the Institute of Applied Astronomy, Naberezhnaya

Kutuzova 10, St. Petersburg, 191187 Russia.

Electronic Publications

The Astronomical Almanac Online: The companion publication of The Astronomical

Almanac, providing data best presented in machine-readable form. It typically does not

duplicate the data from the book. It does, in some cases, provide additional information or

greater precision than the printed data. Examples of data found on The Astronomical Almanac

Online are searchable databases, eclipse and occultation maps, errata found in the printed

publication, and a searchable glossary. It is available at

http://asa.usno.navy.mil — WWW — http://asa.hmnao.com
WEB LINKS 91

Please refer to the relevant World Wide Web address for further details about the publications

and services provided by the following organisations.

U.S. Naval Observatory

• U.S. Naval Observatory portal at http://www.usno.navy.mil/USNO

• USNO Astronomical Applications Department portal at http://aa.usno.navy.mil/

• USNO Data Services at http://aa.usno.navy.mil/data/

• NOVAS astrometry software at http://aa.usno.navy.mil/software/novas/

• USNO Circular 179 at http://aa.usno.navy.mil/publications/docs/Circular 179.php

• The Astronomical Almanac Online—WWW— at http://asa.usno.navy.mil

H.M. Nautical Almanac Office

• General information at http://astro.ukho.gov.uk or http://www.gov.uk/HMNAO

• The Astronomical Almanac Online—WWW— at http://asa.hmnao.com/

• Eclipses Online at http://astro.ukho.gov.uk/eclipse/

• Online data services at http://astro.ukho.gov.uk/websurf/

• Crescent MoonWatch at http://astro.ukho.gov.uk/moonwatch/

International Astronomical Organizations

• IAU: International Astronomical Union at http://www.iau.org

• IERS: International Earth Rotation and Reference Systems Service at http://www.iers.org

• SOFA: IAU Standards of Fundamental Astronomy at http://www.iausofa.org

• NSFA: IAU Working Group on Numerical Standards at http://maia.usno.navy.mil/NSFA/

• CDS: Centre de Données astronomiques de Strasbourg at http://cdsweb.u-strasbg.fr

Publishers and Suppliers

• The UK Hydrographic Office (UKHO) at http://www.gov.uk/UKHO

• U.S. Government Printing Office (USGPO) at http://bookstore.gpo.gov

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• Willmann-Bell at http://www.willbell.com

• Macmillan Distribution at http://www.palgrave.com