ASTRONOMICAL

PHENOMENA

FOR THE YEAR

2020

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

2017
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order online at https://bookstore.gpo.gov/

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c Crown Copyright 2017

This publication is protected by international copyright law. All rights reserved. These pages

may be reproduced under the terms of the UK Open Government Licence

http://www.nationalarchives.gov.uk/doc/open-government-licence/version/2/ acknowledging

the source as Her Majesty’s Nautical Almanac Office, United Kingdom Hydrographic Office.

The following United States government work is excepted from the above notice, and no

copyright is claimed for it in the United States: cover, title page and reverse, pages 64-69,

72-76, 79-83.

Available from

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ASTRONOMICAL PHENOMENA

FOR THE YEAR 2020

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

Related Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84

Web Links . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

PREDICTED PERIHELION PASSAGES OF COMETS, 2020

Periodic comet Perihelion Period

date distance

T q(au) P (yr)

101P/Chernykh Jan. 13 2·35 13·9

114P/Wiseman-Skiff Jan. 14 1·58 6·6

321P/SOHO Jan. 17 0·05 3·7

210P/Christensen Apr. 8 0·53 5·6

87P/Bus May 9 2·10 6·3

84P/Giclas June 3 1·72 6·6

2P/Encke June 25 0·34 3·3

249P/LINEAR June 29 0·50 4·5

85P/Boethin July 29 1·13 11·3

Periodic comet Perihelion Period

date distance

T q(au) P (yr)

115P/Maury July 29 2·06 8·8

257P/Catalina Sept. 10 2·14 7·3

88P/Howell Sept. 26 1·35 5·4

184P/Lovas Oct. 26 1·70 7·3

91P/Russell Nov. 9 2·60 7·6

156P/Russell-LINEAR Nov. 17 1·33 6·4

162P/Siding Spring Dec. 7 1·29 5·4

141P/Machholz Dec. 16 0·81 5·3

P/2009 Q4 (Boattini) Dec. 26 1·31 5·5

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INTRODUCTORY NOTE4

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, 2020

THE SUN

d h d h m d h m

Perigee . . . Jan. 5 08 Equinoxes . . . Mar. 20 03 50 . . . . . . Sept. 22 13 31

Apogee . . . July 4 12 Solstices . . . June 20 21 44 . . . . . . Dec. 21 10 02

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

1200 Jan. 3 04 45 Jan. 10 19 21 Jan. 17 12 58

1201 Jan. 24 21 42 Feb. 2 01 42 Feb. 9 07 33 Feb. 15 22 17

1202 Feb. 23 15 32 Mar. 2 19 57 Mar. 9 17 48 Mar. 16 09 34

1203 Mar. 24 09 28 Apr. 1 10 21 Apr. 8 02 35 Apr. 14 22 56

1204 Apr. 23 02 26 Apr. 30 20 38 May 7 10 45 May 14 14 03

1205 May 22 17 39 May 30 03 30 June 5 19 12 June 13 06 24

1206 June 21 06 41 June 28 08 16 July 5 04 44 July 12 23 29

1207 July 20 17 33 July 27 12 33 Aug. 3 15 59 Aug. 11 16 45

1208 Aug. 19 02 42 Aug. 25 17 58 Sept. 2 05 22 Sept. 10 09 26

1209 Sept. 17 11 00 Sept. 24 01 55 Oct. 1 21 05 Oct. 10 00 40

1210 Oct. 16 19 31 Oct. 23 13 23 Oct. 31 14 49 Nov. 8 13 46

1211 Nov. 15 05 07 Nov. 22 04 45 Nov. 30 09 30 Dec. 8 00 37

1212 Dec. 14 16 17 Dec. 21 23 41 Dec. 30 03 28

ECLIPSES

A penumbral eclipse of the Moon Jan. 10 N.W. North America, W. Pacific Ocean, most

of Australasia, Asia, Europe, Africa, E.

South America, N.E. North America

A penumbral eclipse of the Moon June 5 Western Pacific Ocean, Australasia, Asia

(except N. and E. Russia), Antarctica,

Europe (except northernmost parts), Africa,

E. and S. South America

An annular eclipse of the Sun June 21 Africa (except W. and S. parts), S.E. Europe,

Middle East, Asia (except N and E

Russia), Indonesia, Micronesia

A penumbral eclipse of the Moon July 5 Africa (except N.E. parts), most of S. and W.

Europe, Antarctica, The Americas (except

N. parts), most of Polynesia, New Zealand

A penumbral eclipse of the Moon Nov. 30 N.W. Europe, The Americas, Oceania,

Australasia, most of Asia

A total eclipse of the Sun Dec. 14 Southern Pacific Ocean, Galapogos Islands,

South America (except N. parts), parts of

Antarctica, parts of S.W. Africa

For further details see pages 64–83

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LUNAR PHENOMENA, 2020 5

MOON AT PERIGEE MOON AT APOGEE

d h d h d h d h d h d h

Jan. 13 20 June 3 04 Oct. 17 00 Jan. 2 02 May 18 08 Oct. 3 17

Feb. 10 20 June 30 02 Nov. 14 12 Jan. 29 21 June 15 01 Oct. 30 19

Mar. 10 06 July 25 05 Dec. 12 21 Feb. 26 12 July 12 19 Nov. 27 00

Apr. 7 18 Aug. 21 11 Mar. 24 15 Aug. 9 14 Dec. 24 17

May 6 03 Sept. 18 14 Apr. 20 19 Sept. 6 06

OCCULTATIONS OF PLANETS AND BRIGHT STARS BY THE MOON

Date Body Areas of Visibility

d h

Jan. 23 03 Jupiter Madagascar, Kerguelen

Islands, southern and eastern

Australia, New Zealand,

south and eastern Melanesia,

south western Polynesia

Feb. 2 09 Vesta Southern Asia, eastern

Afghanistan, northern

Philippines, China, Japan,

eastern Russia, Alaska,

western Canada

Feb. 13 10 Juno North America (except north

eastern Canada), Central

America, Caribbean,

northern South America

Feb. 18 13 Mars North America (except north

western Canada and Alaska),

most of Central America,

Caribbean, northernmost

South America,

Southernmost tip of

Greenland, Azores

Feb. 19 20 Jupiter Antarctica, southernmost

South America

Feb. 20 08 Pluto South easternmost South

America, Antarctica,

Kerguelen Islands, south

westernmost tip of Australia

Mar. 1 06 Vesta Western and northern

Australia, eastern Indonesia,

north western Melanesia,

Micronesia, Hawaii

Mar. 18 08 Mars Southernmost South

America, South Georgia,

Antarctica, Kerguelen Islands

Mar. 18 15 Pluto Most of Antarctica

Mar. 29 07 Vesta Southern Indian Ocean,

Indonesia, parts of South

East Asia, Philippines,

Micronesia, northern

Polynesia (except Hawaii)

Apr. 14 22 Pluto Part of the Antarctic

Peninsula

Date Body Areas of Visibility

d h

Apr. 26 11 Vesta Central and north eastern

Africa, most of Middle East,

southern Kazakhstan, N. and

central India, China, most of

South East Asia, Philippines,

southern Japan

May 24 15 Vesta Most of North America

(except western coast,

Alaska and north western

Canada), northern Caribbean,

Greenland, most of Europe

(except southernmost parts),

western Russia, northern

Middle East

June 19 09 Venus Azores, Canary Islands,

north and eastern Canada,

Greenland, north western

half of Europe, northern and

central Russia, northern

Mongolia

Aug. 2 06 Pluto Most of East Antarctica

Aug. 9 08 Mars Most of West Antarctica,

south eastern South America,

Ascension Island

Aug. 29 11 Pluto Queen Maud Land, most of

West Antarctica

Sept. 6 05 Mars Central and north eastern

South America, Cape Verde

Is., northern Africa,

southernmost Europe

Oct. 3 03 Mars South and south easternmost

South America, most of

West Antarctica, Ascension

Island, south western Africa

Dec. 7 22 Vesta Most of eastern and northern

Europe, Russia (except north

eastern parts), China (except

south western parts), Japan,

northern Philippines,

Micronesia

Dec. 12 21 Venus Easternmost Russia, Hawaii,

western North America

Maps showing the areas of visibility may be found on AsA-Online.

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6 PLANETARY PHENOMENA, 2020

GEOCENTRIC PHENOMENA

MERCURY

d h d h d h d h

Superior conjunction . . . Jan. 10 15 May 4 22 Aug. 17 15 Dec. 20 03

Greatest elongation East Feb. 10 14 (18◦) June 4 13 (24◦) Oct. 1 16 (26◦) —

Stationary . . . . . . . . . Feb. 16 10 June 17 20 Oct. 14 04 —

Inferior conjunction . . . Feb. 26 02 July 1 03 Oct. 25 18 —

Stationary . . . . . . . . . Mar. 9 08 July 12 07 Nov. 3 08 —

Greatest elongation West Mar. 24 02 (28◦) July 22 15 (20◦) Nov. 10 17 (19◦) —

VENUS

d h d h

Greatest elongation East Mar. 24 22 (46◦) Stationary . . . . . . . . . June 24 18

Greatest illuminated extent Apr. 28 01 Greatest illuminated extent July 10 08

Stationary . . . . . . . . . May 13 10 Greatest elongation West Aug. 13 00 (46◦)

Inferior conjunction . . . June 3 18

EARTH

d h d h m d h m

Perihelion . . . Jan. 5 08 Equinoxes . . . Mar. 20 03 50 . . . . . . Sept. 22 13 31

Aphelion . . . July 4 12 Solstices . . . June 20 21 44 . . . . . . Dec. 21 10 02

SUPERIOR PLANETS

Conjunction Stationary Opposition Stationary

d h d h d h d h

Mars . . . . . . . . . . . . . . . — Sept. 9 18 Oct. 13 23 Nov. 15 19

Jupiter . . . . . . . . . . . . . . . — May 14 18 July 14 08 Sept. 13 00

Saturn . . . . . . . . . . . . . . . Jan. 13 15 May 11 09 July 20 22 Sept. 29 03

Uranus . . . . . . . . . . . . . . . Apr. 26 09 Aug. 15 17 Oct. 31 16 | Jan. 11 07

Neptune . . . . . . . . . . . . . . . Mar. 8 12 June 23 18 Sept. 11 20 Nov. 29 09

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

HELIOCENTRIC PHENOMENA

Perihelion Aphelion Ascending Greatest Descending Greatest

Node Lat. North Node Lat. South

Mercury Feb. 12 Mar. 27 Feb. 7 Feb. 22 Mar. 16 Jan. 19

May 10 June 23 May 5 May 20 June 12 Apr. 16

Aug. 6 Sept. 19 Aug. 1 Aug. 16 Sept. 8 July 13

Nov. 2 Dec. 16 Oct. 28 Nov. 12 Dec. 5 Oct. 9

Venus Mar. 20 July 10 Feb. 15 Apr. 10 June 5 Aug. 1

Oct. 30 — Sept. 26 Nov. 21 — —

Mars Aug. 3 — Dec. 2 — | Feb. 1 July 8

Jupiter: Descending Node, Feb. 26

Saturn: Descending Node, Feb. 13

Uranus, Neptune: None in 2020

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PHENOMENA, 2020 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: March 4 to April 27, July 10 to August 9 and November 1 to December 3. The planet

is brighter at the end of each period, (the best conditions in northern latitudes occur in mid-November and

in southern latitudes from mid-March to early April). It is visible in the evenings between the following

approximate dates: January 24 to February 19, May 12 to June 22 and August 27 to October 20. The

planet is brighter at the beginning of each period, (the best conditions in northern latitudes occur in the

first half of February and from late May to early June and in southern latitudes from mid-September to

mid-October).

VENUS is a brilliant object in the evening sky from the beginning of the year until late May when it

becomes too close to the Sun for observation. In the second week of June it reappears in the morning

sky where it stays until the end of the year. Venus is in conjunction with Mercury on May 22.

MARS rises well before sunrise in Libra at the beginning of the year, when it can only be seen in

the morning sky. Its westward elongation gradually increases as it moves through Scorpius, Ophiuchus

(passing 5◦ N of Antares on January 17), Sagittarius, Capricornus, Aquarius, and into Pisces in late June,

when it can be seen for more than half the night. In early July it moves into Cetus and late that month

returns to Pisces, in which constellation it remains for the rest of the year. Mars is at opposition on

October 13, when it can be seen throughout the night. Mars is in conjunction with Jupiter on March 20

and with Saturn on March 31.

JUPITER can be seen in the second week of January just before sunrise in Sagittarius. Its westward

elongation gradually increases and from late April it can be seen for more than half the night. It is at

opposition on July 14 when it is visible throughout the night. Its eastward elongation then decreases and

from mid-October it can only be seen in the evening sky passing into Capricornus in late December.

Jupiter is in conjunction with Mars on March 20 and with Saturn on December 21.

SATURN can be seen at the end of January just before sunrise in Sagittarius. Its westward elongation

gradually increases, passing into Capricornus during the second half of March, and from the end of April

can be seen for more than half the night. It returns to Sagittarius in early July and is at opposition on

July 20 when it is visible throughout the night. Its eastward elongation then decreases and from late

October it can only be seen in the evening sky, passing again into Capricornus in mid-December. Saturn

is in conjunction with Mars on March 31 and with Jupiter on December 21.

URANUS is visible at the beginning of the year in Aries, in which constellation it remains throughout

the year. From mid-January until early April it can only be seen in the evening sky. It then becomes

too close to the Sun for observation reappearing in mid-May in the morning sky. It is at opposition

on October 31 when it is visible throughout the night, after which its eastward elongation gradually

decreases.

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 11 and from

mid-December can only be seen in the evening sky.

DO NOT CONFUSE (1) Jupiter with Mars in the second half of March, with Saturn in late April to

early June and early November to the end of December; on all occasions Jupiter is the brighter object.

(2) Mars with Saturn from late March to early April when Saturn is the brighter object. (3) Mercury

with Venus in the fourth week of May when Venus is the brighter object.

VISIBILITY OF PLANETS IN MORNING AND EVENING TWILIGHT

Morning Evening

Venus January 1 – May 28

June 11 – December 31

Mars January 1 – October 13 October 13 – December 31

Jupiter January 10 – July 14 July 14 – December 31

Saturn January 31 – July 20 July 20 – December 31

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PHENOMENA, 20208

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

JUPITER

SATURN

DECLINATION OF SUN AND PLANETS, 2020

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PLANETS, 2020 9

00h

h 00

00h

h 00

02h

h 02

02h

h 02

04h

h 04

04h

h 04

06h

h 06

08h

08h

h 08

10h

h 10

10h

h 10

12h

h 12

12h

h 12

14h

h 14

14h

h 14

16h

h 16

16h

h 16

h 18

18h

20h

h 20

20h

h 20

22h

h 22

22h

h 22

SUN

LOCAL MEAN TIME OF MERIDIAN PASSAGE

LOCAL MEAN TIME OF MERIDIAN PASSAGE

JANUARYJANUARY

10

10

20

20

FEBRUARYFEBRUARY

10

10

2020

MARCH

10

10

MARCH

2020

APRIL

10

10

APRIL

2020

MAYMAY

10

10

2020

JUNEJUNE

10

10

2020

JULYJULY

10

10

2020

AUGUST

10

10

AUGUST

2020

SEPTEMBERSEPTEMBER

10

10

2020

OCTOBEROCTOBER

10

10

2020

NOVEMBERNOVEMBER

10

10

2020

DECEMBERDECEMBER

10

10

2020 00 00

01 01

02 02

03 03

04 04

05 05

06 06

07 07

08 08

09 09

10 10

11 1112 1213 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 2324

h

24

h

MERCURY

MERCURY

VENUS

VENUS

MARS

MARS

JUPITER

JUPITER

SATURN

SATURN

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PHENOMENA, 202010

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. 8 −0·8 E. 34 −3·9 June 30 E. 5 · W. 33 −4·7

2 W. 5 −1·0 E. 35 −4·0 July 5 W. 8 +4·6 W. 37 −4·7

7 W. 3 −1·2 E. 36 −4·0 10 W. 13 +2·9 W. 39 −4·7

12 E. 2 −1·4 E. 37 −4·0 15 W. 18 +1·6 W. 41 −4·7

17 E. 5 −1·3 E. 38 −4·0 20 W. 20 +0·6 W. 43 −4·6

22 E. 8 −1·1 E. 39 −4·0 25 W. 20 −0·1 W. 44 −4·6

27 E. 11 −1·1 E. 39 −4·1 30 W. 18 −0·7 W. 45 −4·6

Feb. 1 E. 14 −1·0 E. 40 −4·1 Aug. 4 W. 14 −1·1 W. 45 −4·5

6 E. 17 −0·9 E. 41 −4·1 9 W. 9 −1·4 W. 46 −4·5

11 E. 18 −0·6 E. 42 −4·2 14 W. 4 −1·8 W. 46 −4·4

16 E. 16 +0·4 E. 43 −4·2 19 E. 2 −1·9 W. 46 −4·4

21 E. 10 +2·6 E. 43 −4·2 24 E. 6 −1·3 W. 45 −4·3

26 E. 4 · E. 44 −4·3 29 E. 11 −0·8 W. 45 −4·3

Mar. 2 W. 11 +3·2 E. 45 −4·3 Sept. 3 E. 14 −0·5 W. 45 −4·3

7 W. 18 +1·6 E. 45 −4·3 8 E. 18 −0·3 W. 44 −4·2

12 W. 24 +0·7 E. 46 −4·4 13 E. 20 −0·2 W. 43 −4·2

17 W. 26 +0·4 E. 46 −4·4 18 E. 23 −0·1 W. 43 −4·2

22 W. 28 +0·2 E. 46 −4·5 23 E. 24 −0·1 W. 42 −4·1

27 W. 28 +0·1 E. 46 −4·5 28 E. 26 0·0 W. 41 −4·1

Apr. 1 W. 27 0·0 E. 46 −4·5 Oct. 3 E. 26 0·0 W. 40 −4·1

6 W. 25 −0·1 E. 46 −4·6 8 E. 25 +0·1 W. 39 −4·1

11 W. 22 −0·2 E. 45 −4·6 13 E. 22 +0·5 W. 38 −4·0

16 W. 19 −0·4 E. 44 −4·7 18 E. 16 +1·5 W. 37 −4·0

21 W. 15 −0·7 E. 43 −4·7 23 E. 6 +4·1 W. 36 −4·0

26 W. 10 −1·1 E. 41 −4·7 28 W. 5 +4·5 W. 35 −4·0

May 1 W. 5 −1·8 E. 38 −4·7 Nov. 2 W. 14 +1·1 W. 34 −4·0

6 E. 1 −2·3 E. 35 −4·7 7 W. 18 −0·3 W. 33 −4·0

11 E. 7 −1·6 E. 31 −4·7 12 W. 19 −0·7 W. 32 −3·9

16 E. 13 −1·1 E. 26 −4·6 17 W. 18 −0·7 W. 31 −3·9

21 E. 18 −0·7 E. 20 −4·4 22 W. 15 −0·7 W. 30 −3·9

26 E. 21 −0·3 E. 14 −4·1 27 W. 13 −0·7 W. 29 −3·9

31 E. 23 0·0 E. 6 · Dec. 2 W. 10 −0·8 W. 27 −3·9

June 5 E. 24 +0·5 W. 2 · 7 W. 7 −0·9 W. 26 −3·9

10 E. 23 +1·0 W. 10 −4·1 12 W. 5 −1·0 W. 25 −3·9

15 E. 20 +1·7 W. 17 −4·2 17 W. 2 −1·2 W. 24 −3·9

20 E. 16 +2·7 W. 23 −4·5 22 E. 2 −1·3 W. 23 −3·9

25 E. 10 +4·1 W. 29 −4·6 27 E. 4 −1·1 W. 22 −3·9

30 E. 5 · W. 33 −4·7 32 E. 7 −1·0 W. 20 −3·9

SELECTED DWARF AND MINOR PLANETS

Conjunction Stationary Opposition Stationary

Ceres . . . . . . Jan. 13 July 13 Aug. 28 Oct. 23

Pallas . . . . . . — May 11 July 13 Sept. 2

Juno . . . . . . Nov. 8 | Feb. 13 Apr. 2 May 27

Vesta . . . . . . July 5 — — | Jan. 1

Pluto . . . . . . Jan. 13 Apr. 26 July 15 Oct. 4

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

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

12 W. 45 +1·5 W. 12 −1·8 E. 1 +0·5 E. 101 +5·8 E. 55 +7·9

22 W. 49 +1·4 W. 20 −1·9 W. 8 +0·5 E. 91 +5·8 E. 45 +7·9

Feb. 1 W. 52 +1·4 W. 28 −1·9 W. 17 +0·6 E. 81 +5·8 E. 36 +7·9

11 W. 55 +1·3 W. 36 −1·9 W. 26 +0·6 E. 71 +5·8 E. 26 +8·0

21 W. 59 +1·2 W. 44 −1·9 W. 35 +0·6 E. 62 +5·8 E. 16 +8·0

Mar. 2 W. 62 +1·1 W. 52 −2·0 W. 44 +0·7 E. 52 +5·8 E. 6 +8·0

12 W. 65 +1·0 W. 60 −2·0 W. 53 +0·7 E. 42 +5·9 W. 3 +8·0

22 W. 68 +0·9 W. 69 −2·1 W. 62 +0·7 E. 33 +5·9 W. 13 +8·0

Apr. 1 W. 71 +0·8 W. 77 −2·1 W. 71 +0·7 E. 23 +5·9 W. 22 +8·0

11 W. 74 +0·7 W. 86 −2·2 W. 80 +0·6 E. 14 +5·9 W. 32 +8·0

21 W. 77 +0·5 W. 95 −2·3 W. 90 +0·6 E. 5 +5·9 W. 41 +7·9

May 1 W. 79 +0·4 W. 104 −2·3 W. 99 +0·6 W. 4 +5·9 W. 51 +7·9

11 W. 82 +0·3 W. 114 −2·4 W. 109 +0·5 W. 13 +5·9 W. 60 +7·9

21 W. 85 +0·1 W. 123 −2·5 W. 119 +0·5 W. 22 +5·9 W. 70 +7·9

31 W. 88 0·0 W. 133 −2·6 W. 128 +0·4 W. 32 +5·9 W. 79 +7·9

June 10 W. 91 −0·2 W. 143 −2·6 W. 138 +0·4 W. 41 +5·9 W. 89 +7·9

20 W. 94 −0·3 W. 154 −2·7 W. 148 +0·3 W. 50 +5·8 W. 98 +7·9

30 W. 98 −0·5 W. 165 −2·7 W. 159 +0·2 W. 59 +5·8 W. 108 +7·9

July 10 W. 101 −0·7 W. 175 −2·7 W. 169 +0·2 W. 68 +5·8 W. 117 +7·9

20 W. 105 −0·8 E. 174 −2·7 W. 179 +0·1 W. 77 +5·8 W. 127 +7·8

30 W. 110 −1·0 E. 163 −2·7 E. 171 +0·1 W. 87 +5·8 W. 137 +7·8

Aug. 9 W. 115 −1·3 E. 152 −2·7 E. 160 +0·2 W. 96 +5·8 W. 146 +7·8

19 W. 122 −1·5 E. 142 −2·6 E. 150 +0·2 W. 106 +5·7 W. 156 +7·8

29 W. 129 −1·7 E. 132 −2·6 E. 140 +0·3 W. 116 +5·7 W. 166 +7·8

Sept. 8 W. 138 −2·0 E. 122 −2·5 E. 130 +0·3 W. 125 +5·7 W. 176 +7·8

18 W. 148 −2·2 E. 112 −2·4 E. 120 +0·4 W. 135 +5·7 E. 174 +7·8

28 W. 159 −2·4 E. 102 −2·4 E. 110 +0·5 W. 145 +5·7 E. 164 +7·8

Oct. 8 W. 171 −2·6 E. 93 −2·3 E. 100 +0·5 W. 156 +5·7 E. 154 +7·8

18 E. 174 −2·5 E. 84 −2·2 E. 91 +0·5 W. 166 +5·7 E. 144 +7·8

28 E. 162 −2·3 E. 75 −2·2 E. 81 +0·6 W. 176 +5·7 E. 133 +7·8

Nov. 7 E. 151 −1·9 E. 67 −2·1 E. 72 +0·6 E. 173 +5·7 E. 123 +7·9

17 E. 140 −1·6 E. 58 −2·1 E. 62 +0·6 E. 163 +5·7 E. 113 +7·9

27 E. 131 −1·3 E. 50 −2·0 E. 53 +0·6 E. 152 +5·7 E. 103 +7·9

Dec. 7 E. 123 −0·9 E. 42 −2·0 E. 44 +0·6 E. 142 +5·7 E. 93 +7·9

17 E. 116 −0·6 E. 34 −2·0 E. 34 +0·6 E. 132 +5·7 E. 83 +7·9

27 E. 110 −0·4 E. 26 −2·0 E. 25 +0·6 E. 121 +5·7 E. 73 +7·9

37 E. 104 −0·1 E. 18 −1·9 E. 16 +0·6 E. 111 +5·7 E. 63 +7·9

VISUAL MAGNITUDES OF SELECTED DWARF & MINOR PLANETS

Jan. 2 Feb. 11 Mar. 22 May 1 June 10 July 20 Aug. 29 Oct. 8 Nov. 17 Dec. 27

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

Pallas 10·2 10·3 10·3 10·1 9·7 9·6 9·9 10·3 10·5 10·6

Juno 10·6 10·2 9·7 10·1 10·8 11·2 11·5 11·4 11·4 11·5

Vesta 7·4 8·1 8·4 8·5 8·3 8·2 8·4 8·3 8·0 7·4

Pluto 14·7 14·7 14·8 14·8 14·7 14·5 14·7 14·8 14·8 14·7

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CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

Jan. 1 21 Vesta stationary

2 02 Moon at apogee

3 05 FIRST QUARTER

4 18 Uranus 5◦ N. of Moon

5 08 Earth at perihelion

10 15 Mercury in superior conjunction

10 19 FULL MOON Penumbral Eclipse

11 07 Uranus stationary

13 13 Pluto in conjunction with Sun

13 15 Saturn in conjunction with Sun

13 18 Ceres in conjunction with Sun

13 20 Moon at perigee

17 04 Mars 5◦ N. of Antares

17 13 LAST QUARTER

20 19 Mars 2◦ S. of Moon

23 03 Jupiter 0◦.4 N. of Moon Occn.

24 22 NEW MOON

27 19 Venus 0◦.08 S. of Neptune

28 06 Neptune 4◦ N. of Moon

28 07 Venus 4◦ N. of Moon

29 21 Moon at apogee

Feb. 1 03 Uranus 5◦ N. of Moon

2 02 FIRST QUARTER

2 09 Vesta 0◦.5 S. of Moon Occn.

9 08 FULL MOON

10 14 Mercury greatest elong. E. (18◦)

10 20 Moon at perigee

13 07 Juno stationary

13 10 Juno 0◦.6 S. of Moon Occn.

15 22 LAST QUARTER

16 10 Mercury stationary

18 13 Mars 0◦.8 S. of Moon Occn.

19 20 Jupiter 0◦.9 N. of Moon Occn.

20 08 Pluto 0◦.7 N. of Moon Occn.

20 14 Saturn 1◦.7 N. of Moon

23 16 NEW MOON

26 02 Mercury in inferior conjunction

26 12 Moon at apogee

27 12 Venus 6◦ N. of Moon

28 12 Uranus 4◦ N. of Moon

Mar. 1 06 Vesta 0◦.1 N. of Moon Occn.

2 20 FIRST QUARTER

8 12 Neptune in conjunction with Sun

9 08 Mercury stationary

9 15 Venus 2◦ N. of Uranus

9 18 FULL MOON

10 06 Moon at perigee

d h

Mar. 16 10 LAST QUARTER

18 08 Mars 0◦.7 N. of Moon Occn.

18 10 Jupiter 1◦.5 N. of Moon

18 15 Pluto 0◦.9 N. of Moon Occn.

19 00 Saturn 2◦ N. of Moon

20 04 Equinox

20 06 Mars 0◦.7 S. of Jupiter

21 18 Mercury 4◦ N. of Moon

24 02 Mercury greatest elong. W. (28◦)

24 09 NEW MOON

24 15 Moon at apogee

24 22 Venus greatest elong. E. (46◦)

26 21 Uranus 4◦ N. of Moon

28 11 Venus 7◦ N. of Moon

29 07 Vesta 0◦.2 N. of Moon Occn.

31 11 Mars 0◦.9 S. of Saturn

Apr. 1 10 FIRST QUARTER

2 20 Juno at opposition

3 15 Mercury 1◦.4 S. of Neptune

7 18 Moon at perigee

8 03 FULL MOON

14 22 Pluto 1◦.2 N. of Moon Occn.

14 23 Jupiter 2◦ N. of Moon

14 23 LAST QUARTER

15 09 Saturn 2◦ N. of Moon

16 05 Mars 2◦ N. of Moon

17 20 Venus 10◦ N. of Aldebaran

19 07 Neptune 4◦ N. of Moon

20 19 Moon at apogee

23 02 NEW MOON

26 09 Uranus in conjunction with Sun

26 11 Vesta 0◦.1 S. of Moon Occn.

26 13 Pluto stationary

26 15 Venus 6◦ N. of Moon

28 01 Venus greatest illuminated extent

30 21 FIRST QUARTER

May 4 22 Mercury in superior conjunction

6 03 Moon at perigee

7 11 FULL MOON

11 09 Saturn stationary

11 11 Pallas stationary

12 10 Jupiter 2◦ N. of Moon

12 18 Saturn 3◦ N. of Moon

13 10 Venus stationary

14 14 LAST QUARTER

14 18 Jupiter stationary

15 02 Mars 3◦ N. of Moon

16 15 Neptune 4◦ N. of Moon

17 09 Mercury 7◦ N. of Aldebaran

18 08 Moon at apogee

20 16 Uranus 4◦ N. of Moon

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DIARY OF PHENOMENA, 2020 13

CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

May 22 08 Mercury 0◦.9 S. of Venus

22 18 NEW MOON

24 03 Venus 4◦ N. of Moon

24 11 Mercury 3◦ N. of Moon

24 15 Vesta 0◦.6 S. of Moon Occn.

27 14 Juno stationary

30 03 FIRST QUARTER

June 3 04 Moon at perigee

3 18 Venus in inferior conjunction

4 13 Mercury greatest elong. E. (24◦)

5 19 FULL MOON Penumbral Eclipse

8 17 Jupiter 2◦ N. of Moon

9 02 Saturn 3◦ N. of Moon

12 12 Mars 1◦.7 S. of Neptune

12 23 Neptune 4◦ N. of Moon

13 00 Mars 3◦ N. of Moon

13 06 LAST QUARTER

15 01 Moon at apogee

17 02 Uranus 4◦ N. of Moon

17 20 Mercury stationary

19 09 Venus 0◦.7 S. of Moon Occn.

20 22 Solstice

21 07 NEW MOON Eclipse

23 18 Neptune stationary

24 18 Venus stationary

28 08 FIRST QUARTER

30 02 Moon at perigee

July 1 03 Mercury in inferior conjunction

4 12 Earth at aphelion

5 05 FULL MOON Penumbral Eclipse

5 06 Vesta in conjunction with Sun

5 22 Jupiter 1◦.9 N. of Moon

6 09 Saturn 2◦ N. of Moon

10 07 Neptune 4◦ N. of Moon

10 08 Venus greatest illuminated extent

11 20 Mars 2◦ N. of Moon

12 07 Mercury stationary

12 07 Venus 1◦.0 N. of Aldebaran

12 19 Moon at apogee

12 23 LAST QUARTER

13 02 Ceres stationary

13 02 Pallas at opposition

14 08 Jupiter at opposition

14 12 Uranus 4◦ N. of Moon

15 19 Pluto at opposition

17 07 Venus 3◦ S. of Moon

19 04 Mercury 4◦ S. of Moon

20 18 NEW MOON

20 22 Saturn at opposition

22 15 Mercury greatest elong. W. (20◦)

d h

July 25 05 Moon at perigee

27 13 FIRST QUARTER

Aug. 2 00 Jupiter 1◦.5 N. of Moon

2 06 Mercury 7◦ S. of Pollux

2 06 Pluto 1◦.1 N. of Moon Occn.

2 13 Saturn 2◦ N. of Moon

3 16 FULL MOON

6 15 Neptune 4◦ N. of Moon

9 08 Mars 0◦.8 N. of Moon Occn.

9 14 Moon at apogee

10 21 Uranus 4◦ N. of Moon

11 17 LAST QUARTER

13 00 Venus greatest elong. W. (46◦)

15 13 Venus 4◦ S. of Moon

15 17 Uranus stationary

17 15 Mercury in superior conjunction

19 03 NEW MOON

21 11 Moon at perigee

25 18 FIRST QUARTER

28 12 Ceres at opposition

29 02 Jupiter 1◦.4 N. of Moon

29 11 Pluto 1◦.2 N. of Moon Occn.

29 17 Saturn 2◦ N. of Moon

Sept. 1 17 Venus 9◦ S. of Pollux

2 05 FULL MOON

2 13 Pallas stationary

2 21 Neptune 4◦ N. of Moon

6 05 Mars 0◦.03 S. of Moon Occn.

6 06 Moon at apogee

7 04 Uranus 3◦ N. of Moon

9 18 Mars stationary

10 09 LAST QUARTER

11 20 Neptune at opposition

13 00 Jupiter stationary

14 05 Venus 4◦ S. of Moon

17 11 NEW MOON

18 14 Moon at perigee

18 22 Mercury 6◦ S. of Moon

22 09 Mercury 0◦.3 N. of Spica

22 14 Equinox

24 02 FIRST QUARTER

25 07 Jupiter 1◦.6 N. of Moon

25 21 Saturn 2◦ N. of Moon

29 03 Saturn stationary

30 02 Neptune 4◦ N. of Moon

Oct. 1 16 Mercury greatest elong. E. (26◦)

1 21 FULL MOON

3 00 Venus 0◦.09 S. of Regulus

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CONFIGURATIONS OF SUN, MOON AND PLANETS

d h

Oct. 3 03 Mars 0◦.7 N. of Moon Occn.

3 17 Moon at apogee

4 06 Pluto stationary

4 09 Uranus 3◦ N. of Moon

6 14 Mars closest approach

10 01 LAST QUARTER

13 23 Mars at opposition

14 00 Venus 4◦ S. of Moon

14 04 Mercury stationary

16 20 NEW MOON

17 00 Moon at perigee

17 19 Mercury 7◦ S. of Moon

22 17 Jupiter 2◦ N. of Moon

23 03 Ceres stationary

23 04 Saturn 3◦ N. of Moon

23 13 FIRST QUARTER

25 18 Mercury in inferior conjunction

27 06 Neptune 4◦ N. of Moon

29 16 Mars 3◦ N. of Moon

30 19 Moon at apogee

31 13 Uranus 3◦ N. of Moon

31 15 FULL MOON

31 16 Uranus at opposition

Nov. 3 08 Mercury stationary

8 09 Juno in conjunction with Sun

8 14 LAST QUARTER

10 17 Mercury greatest elong. W. (19◦)

12 21 Venus 3◦ S. of Moon

13 21 Mercury 1◦.7 S. of Moon

14 12 Moon at perigee

15 05 NEW MOON

d h

Nov. 15 13 Venus 4◦ N. of Spica

15 19 Mars stationary

19 09 Jupiter 2◦ N. of Moon

19 15 Saturn 3◦ N. of Moon

22 05 FIRST QUARTER

23 12 Neptune 5◦ N. of Moon

25 20 Mars 5◦ N. of Moon

27 00 Moon at apogee

27 17 Uranus 3◦ N. of Moon

29 09 Neptune stationary

30 09 FULL MOON Penumbral Eclipse

Dec. 7 22 Vesta 0◦.5 S. of Moon Occn.

8 01 LAST QUARTER

12 21 Moon at perigee

12 21 Venus 0◦.8 S. of Moon Occn.

14 16 NEW MOON Eclipse

17 04 Jupiter 3◦ N. of Moon

17 05 Saturn 3◦ N. of Moon

20 03 Mercury in superior conjunction

20 20 Neptune 5◦ N. of Moon

21 10 Solstice

21 14 Jupiter 0◦.1 S. of Saturn

22 00 FIRST QUARTER

23 01 Venus 6◦ N. of Antares

23 19 Mars 6◦ N. of Moon

24 17 Moon at apogee

24 23 Uranus 3◦ N. of Moon

30 03 FULL MOON

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CALENDAR, 2020 15

CHRONOLOGICAL CYCLES AND ERAS

Dominical Letter . . . . . . . . . . . . ED Julian Period (year of) . . . . . . . . . 6733

Epact . . . . . . . . . . . . . . . . . . . . . 5 Roman Indiction . . . . . . . . . . . . 13

Golden Number (Lunar Cycle) . . . VII Solar Cycle . . . . . . . . . . . . . . . . . . 13

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

2020 January 14 corresponds to 2020 January 1 of the Julian calendar.

ERA YEAR BEGINS ERA YEAR BEGINS

Byzantine . . . . . . . . . 7529 Sept. 14 Japanese . . . . . . . . . 2680 Jan. 1

Jewish (A.M.)* . . . . . . 5781 Sept. 18 Seleucidæ (Grecian) . . . 2332 Sept. 14

Chinese (geng z  ̄ ˇı) . . . Jan. 25 (or Oct. 14)

Roman (A.U.C.) . . . . . . 2773 Jan. 14 Saka (Indian) . . . . . . 1942 Mar. 21

Nabonassar . . . . . . . . . 2769 Apr. 18 Diocletian (Coptic) . . . 1737 Sept. 11

Islamic (Hegira)* . . . 1442 Aug. 19

* Year begins at sunset

RELIGIOUS CALENDARS

Epiphany . . . . . . . . . . . . . . . Jan. 6 Ascension Day . . . . . . . . . . . . May 21

Ash Wednesday . . . . . . . . . Feb. 26 Whit Sunday—Pentecost . . . May 31

Palm Sunday . . . . . . . . . . . . Apr. 5 Trinity Sunday . . . . . . . . . . . . June 7

Good Friday . . . . . . . . . . . . Apr. 10 First Sunday in Advent . . . . . . Nov. 29

Easter Day . . . . . . . . . . . . . . . Apr. 12 Christmas Day (Friday) . . . . . . Dec. 25

First Day of Passover (Pesach) Apr. 9 Day of Atonement (Yom Kippur) Sept. 28

Feast of Weeks (Shavuot) . . . May 29 First day of Tabernacles

Jewish New Year‡ (Succoth) . . . . . . . . . . . . Oct. 3

(Rosh Hashanah) . . . . . . . . . Sept. 19 Festival of Lights (Hanukkah) Dec. 11

First day of Ramadân‡ . . . . . . Apr. 24 Islamic New Year‡ . . . . . . . . . Aug. 20

First day of Shawwal‡ . . . . . . May 24

‡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. 7

Martin Luther King’s Birthday Jan. 20 Columbus Day . . . . . . . . . . . . Oct. 12

Washington’s Birthday . . . . . . Feb. 17 General Election Day . . . . . . Nov. 3

Memorial Day . . . . . . . . . . . . May 25 Veterans Day . . . . . . . . . . . . Nov. 11

Independence Day . . . . . . . . . July 4 Thanksgiving Day . . . . . . . . . Nov. 26

CIVIL CALENDAR—UNITED KINGDOM

Accession of Queen Elizabeth II Feb. 6 Birthday of Prince Philip,

St David (Wales) . . . . . . . . . Mar. 1 Duke of Edinburgh . . . . . . June 10

Commonwealth Day . . . . . . Mar. 9 The Queen’s Official Birthday† June 13

St Patrick (Ireland) . . . . . . . . . Mar. 17 Remembrance Sunday . . . . . . Nov. 8

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

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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 Wed. 1 Sat. 32 Sun. 61 Wed. 92 Fri. 122 Mon. 153

2 Thu. 2 Sun. 33 Mon. 62 Thu. 93 Sat. 123 Tue. 154

3 Fri. 3 Mon. 34 Tue. 63 Fri. 94 Sun. 124 Wed. 155

4 Sat. 4 Tue. 35 Wed. 64 Sat. 95 Mon. 125 Thu. 156

5 Sun. 5 Wed. 36 Thu. 65 Sun. 96 Tue. 126 Fri. 157

6 Mon. 6 Thu. 37 Fri. 66 Mon. 97 Wed. 127 Sat. 158

7 Tue. 7 Fri. 38 Sat. 67 Tue. 98 Thu. 128 Sun. 159

8 Wed. 8 Sat. 39 Sun. 68 Wed. 99 Fri. 129 Mon. 160

9 Thu. 9 Sun. 40 Mon. 69 Thu. 100 Sat. 130 Tue. 161

10 Fri. 10 Mon. 41 Tue. 70 Fri. 101 Sun. 131 Wed. 162

11 Sat. 11 Tue. 42 Wed. 71 Sat. 102 Mon. 132 Thu. 163

12 Sun. 12 Wed. 43 Thu. 72 Sun. 103 Tue. 133 Fri. 164

13 Mon. 13 Thu. 44 Fri. 73 Mon. 104 Wed. 134 Sat. 165

14 Tue. 14 Fri. 45 Sat. 74 Tue. 105 Thu. 135 Sun. 166

15 Wed. 15 Sat. 46 Sun. 75 Wed. 106 Fri. 136 Mon. 167

16 Thu. 16 Sun. 47 Mon. 76 Thu. 107 Sat. 137 Tue. 168

17 Fri. 17 Mon. 48 Tue. 77 Fri. 108 Sun. 138 Wed. 169

18 Sat. 18 Tue. 49 Wed. 78 Sat. 109 Mon. 139 Thu. 170

19 Sun. 19 Wed. 50 Thu. 79 Sun. 110 Tue. 140 Fri. 171

20 Mon. 20 Thu. 51 Fri. 80 Mon. 111 Wed. 141 Sat. 172

21 Tue. 21 Fri. 52 Sat. 81 Tue. 112 Thu. 142 Sun. 173

22 Wed. 22 Sat. 53 Sun. 82 Wed. 113 Fri. 143 Mon. 174

23 Thu. 23 Sun. 54 Mon. 83 Thu. 114 Sat. 144 Tue. 175

24 Fri. 24 Mon. 55 Tue. 84 Fri. 115 Sun. 145 Wed. 176

25 Sat. 25 Tue. 56 Wed. 85 Sat. 116 Mon. 146 Thu. 177

26 Sun. 26 Wed. 57 Thu. 86 Sun. 117 Tue. 147 Fri. 178

27 Mon. 27 Thu. 58 Fri. 87 Mon. 118 Wed. 148 Sat. 179

28 Tue. 28 Fri. 59 Sat. 88 Tue. 119 Thu. 149 Sun. 180

29 Wed. 29 Sat. 60 Sun. 89 Wed. 120 Fri. 150 Mon. 181

30 Thu. 30 Mon. 90 Thu. 121 Sat. 151 Tue. 182

31 Fri. 31 Tue. 91 Sun. 152

JULIAN DATE, 2020

0

h UT JD 0h UT JD 0h UT JD

Jan. 0 245 8848·5 May 0 245 8969·5 Sept. 0 245 9092·5

Feb. 0 245 8879·5 June 0 245 9000·5 Oct. 0 245 9122·5

Mar. 0 245 8908·5 July 0 245 9030·5 Nov. 0 245 9153·5

Apr. 0 245 8939·5 Aug. 0 245 9061·5 Dec. 0 245 9183·5

400-day date, JD 245 9200·5 = 2020 December 17·0

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

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

B2020·0 = 2020 Jan. 0·877 = JD 245 8849·377

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

J2020·5 = 2020 July 2·125 = JD 245 9032·625

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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 Wed. 183 Sat. 214 Tue. 245 Thu. 275 Sun. 306 Tue. 336

2 Thu. 184 Sun. 215 Wed. 246 Fri. 276 Mon. 307 Wed. 337

3 Fri. 185 Mon. 216 Thu. 247 Sat. 277 Tue. 308 Thu. 338

4 Sat. 186 Tue. 217 Fri. 248 Sun. 278 Wed. 309 Fri. 339

5 Sun. 187 Wed. 218 Sat. 249 Mon. 279 Thu. 310 Sat. 340

6 Mon. 188 Thu. 219 Sun. 250 Tue. 280 Fri. 311 Sun. 341

7 Tue. 189 Fri. 220 Mon. 251 Wed. 281 Sat. 312 Mon. 342

8 Wed. 190 Sat. 221 Tue. 252 Thu. 282 Sun. 313 Tue. 343

9 Thu. 191 Sun. 222 Wed. 253 Fri. 283 Mon. 314 Wed. 344

10 Fri. 192 Mon. 223 Thu. 254 Sat. 284 Tue. 315 Thu. 345

11 Sat. 193 Tue. 224 Fri. 255 Sun. 285 Wed. 316 Fri. 346

12 Sun. 194 Wed. 225 Sat. 256 Mon. 286 Thu. 317 Sat. 347

13 Mon. 195 Thu. 226 Sun. 257 Tue. 287 Fri. 318 Sun. 348

14 Tue. 196 Fri. 227 Mon. 258 Wed. 288 Sat. 319 Mon. 349

15 Wed. 197 Sat. 228 Tue. 259 Thu. 289 Sun. 320 Tue. 350

16 Thu. 198 Sun. 229 Wed. 260 Fri. 290 Mon. 321 Wed. 351

17 Fri. 199 Mon. 230 Thu. 261 Sat. 291 Tue. 322 Thu. 352

18 Sat. 200 Tue. 231 Fri. 262 Sun. 292 Wed. 323 Fri. 353

19 Sun. 201 Wed. 232 Sat. 263 Mon. 293 Thu. 324 Sat. 354

20 Mon. 202 Thu. 233 Sun. 264 Tue. 294 Fri. 325 Sun. 355

21 Tue. 203 Fri. 234 Mon. 265 Wed. 295 Sat. 326 Mon. 356

22 Wed. 204 Sat. 235 Tue. 266 Thu. 296 Sun. 327 Tue. 357

23 Thu. 205 Sun. 236 Wed. 267 Fri. 297 Mon. 328 Wed. 358

24 Fri. 206 Mon. 237 Thu. 268 Sat. 298 Tue. 329 Thu. 359

25 Sat. 207 Tue. 238 Fri. 269 Sun. 299 Wed. 330 Fri. 360

26 Sun. 208 Wed. 239 Sat. 270 Mon. 300 Thu. 331 Sat. 361

27 Mon. 209 Thu. 240 Sun. 271 Tue. 301 Fri. 332 Sun. 362

28 Tue. 210 Fri. 241 Mon. 272 Wed. 302 Sat. 333 Mon. 363

29 Wed. 211 Sat. 242 Tue. 273 Thu. 303 Sun. 334 Tue. 364

30 Thu. 212 Sun. 243 Wed. 274 Fri. 304 Mon. 335 Wed. 365

31 Fri. 213 Mon. 244 Sat. 305 Thu. 366

MEAN SIDEREAL TIME, 2020

Greenwich mean sidereal time at 0h UT

h h h h

Jan. 0 6·6091 Apr. 0 12·5887 July 0 18·5683 Oct. 0 0·6136

Feb. 0 8·6461 May 0 14·5600 Aug. 0 20·6053 Nov. 0 2·6506

Mar. 0 10·5517 June 0 16·5970 Sept. 0 22·6423 Dec. 0 4·6219

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

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THE SUN, 202018

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 ◦ 0 m s ◦ 0 m s ◦ 0 m s ◦ 0

Jan. 0 −02 36 −23 08 Feb. 15 −14 09 −12 56 Apr. 1 −03 54 +04 38 May 17 +03 36 +19 23

1 03 05 23 04 16 14 06 12 35 2 03 36 05 01 18 03 34 19 36

2 03 34 22 59 17 14 03 12 15 3 03 18 05 24 19 03 31 19 49

3 04 02 22 53 18 13 59 11 54 4 03 01 05 47 20 03 28 20 02

4 04 29 22 48 19 13 54 11 33 5 02 43 06 10 21 03 24 20 14

5 −04 57 −22 41 20 −13 49 −11 11 6 −02 26 +06 33 22 +03 19 +20 26

6 05 24 22 35 21 13 43 10 50 7 02 09 06 55 23 03 14 20 38

7 05 50 22 28 22 13 36 10 28 8 01 52 07 18 24 03 09 20 49

8 06 16 22 20 23 13 29 10 06 9 01 36 07 40 25 03 03 21 00

9 06 41 22 12 24 13 21 09 44 10 01 20 08 02 26 02 57 21 10

10 −07 06 −22 04 25 −13 12 −09 22 11 −01 04 +08 24 27 +02 50 +21 20

11 07 31 21 55 26 13 03 09 00 12 00 48 08 46 28 02 42 21 30

12 07 55 21 46 27 12 53 08 37 13 00 33 09 08 29 02 35 21 39

13 08 18 21 36 28 12 43 08 15 14 00 18 09 30 30 02 26 21 48

14 08 40 21 26 29 12 32 07 52 15 −00 03 09 51 31 02 18 21 57

15 −09 02 −21 15 Mar. 1 −12 21 −07 29 16 +00 11 +10 13 June 1 +02 09 +22 05

16 09 24 21 05 2 12 09 07 07 17 00 25 10 34 2 01 59 22 13

17 09 44 20 53 3 11 56 06 44 18 00 39 10 55 3 01 50 22 20

18 10 04 20 41 4 11 43 06 21 19 00 52 11 16 4 01 40 22 28

19 10 24 20 29 5 11 30 05 57 20 01 04 11 36 5 01 29 22 34

20 −10 42 −20 17 6 −11 16 −05 34 21 +01 16 +11 57 6 +01 18 +22 41

21 11 00 20 04 7 11 02 05 11 22 01 28 12 17 7 01 07 22 46

22 11 17 19 51 8 10 47 04 47 23 01 40 12 37 8 00 56 22 52

23 11 34 19 37 9 10 32 04 24 24 01 50 12 57 9 00 45 22 57

24 11 50 19 23 10 10 17 04 00 25 02 01 13 16 10 00 33 23 02

25 −12 04 −19 09 11 −10 01 −03 37 26 +02 11 +13 36 11 +00 21 +23 06

26 12 19 18 54 12 09 45 03 13 27 02 20 13 55 12 +00 08 23 10

27 12 32 18 39 13 09 29 02 50 28 02 29 14 14 13 −00 04 23 13

28 12 44 18 23 14 09 12 02 26 29 02 37 14 33 14 00 17 23 16

29 12 56 18 08 15 08 56 02 02 30 02 45 14 51 15 00 29 23 19

30 −13 07 −17 52 16 −08 39 −01 39 May 1 +02 53 +15 09 16 −00 42 +23 21

31 13 17 17 35 17 08 21 01 15 2 03 00 15 27 17 00 55 23 23

Feb. 1 13 26 17 19 18 08 04 00 51 3 03 06 15 45 18 01 08 23 24

2 13 34 17 02 19 07 47 00 28 4 03 12 16 02 19 01 22 23 25

3 13 42 16 44 20 07 29 −00 04 5 03 17 16 19 20 01 35 23 26

4 −13 49 −16 27 21 −07 11 +00 20 6 +03 22 +16 36 21 −01 48 +23 26

5 13 54 16 09 22 06 53 00 44 7 03 26 16 53 22 02 01 23 26

6 13 59 15 51 23 06 36 01 07 8 03 30 17 09 23 02 14 23 25

7 14 04 15 32 24 06 18 01 31 9 03 33 17 25 24 02 27 23 24

8 14 07 15 14 25 06 00 01 55 10 03 35 17 41 25 02 40 23 23

9 −14 10 −14 55 26 −05 42 +02 18 11 +03 37 +17 57 26 −02 53 +23 21

10 14 11 14 36 27 05 23 02 42 12 03 38 18 12 27 03 05 23 19

11 14 12 14 16 28 05 05 03 05 13 03 39 18 27 28 03 18 23 16

12 14 13 13 56 29 04 47 03 28 14 03 39 18 41 29 03 30 23 13

13 14 12 13 37 30 04 29 03 52 15 03 39 18 55 30 03 42 23 09

14 −14 11 −13 16 31 −04 11 +04 15 16 +03 38 +19 09 July 1 −03 53 +23 05

15 −14 09 −12 56 Apr. 1 −03 54 +04 38 17 +03 36 +19 23 2 −04 05 +23 01

Equation of time = apparent time − mean time

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
THE SUN, 2020 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 ◦ 0 m s ◦ 0 m s ◦ 0 m s ◦ 0

July 1 −03 53 +23 05 Aug. 16 −04 17 +13 39 Oct. 1 +10 20 −03 17 Nov.16 +15 15 −18 47

2 04 05 23 01 17 04 04 13 20 2 10 40 03 40 17 15 03 19 02

3 04 16 22 56 18 03 51 13 01 3 10 59 04 03 18 14 51 19 17

4 04 26 22 51 19 03 38 12 41 4 11 17 04 26 19 14 38 19 31

5 04 37 22 45 20 03 24 12 22 5 11 36 04 50 20 14 24 19 44

6 −04 47 +22 40 21 −03 09 +12 02 6 +11 53 −05 13 21 +14 09 −19 58

7 04 56 22 33 22 02 54 11 42 7 12 11 05 36 22 13 53 20 11

8 05 06 22 27 23 02 39 11 21 8 12 28 05 58 23 13 37 20 23

9 05 15 22 19 24 02 23 11 01 9 12 45 06 21 24 13 20 20 36

10 05 23 22 12 25 02 06 10 40 10 13 01 06 44 25 13 02 20 47

11 −05 31 +22 04 26 −01 49 +10 19 11 +13 16 −07 07 26 +12 44 −20 59

12 05 39 21 56 27 01 32 09 58 12 13 32 07 29 27 12 24 21 10

13 05 46 21 47 28 01 15 09 37 13 13 46 07 52 28 12 04 21 21

14 05 53 21 38 29 00 57 09 16 14 14 00 08 14 29 11 44 21 31

15 05 59 21 29 30 00 38 08 54 15 14 14 08 36 30 11 22 21 41

16 −06 05 +21 19 31 −00 19 +08 33 16 +14 27 −08 58 Dec. 1 +11 00 −21 50

17 06 10 21 09 Sept. 1 00 00 08 11 17 14 39 09 20 2 10 37 21 59

18 06 15 20 59 2 +00 19 07 49 18 14 51 09 42 3 10 14 22 08

19 06 19 20 48 3 00 38 07 27 19 15 02 10 04 4 09 50 22 16

20 06 23 20 37 4 00 58 07 05 20 15 13 10 25 5 09 26 22 24

21 −06 26 +20 25 5 +01 18 +06 43 21 +15 22 −10 47 6 +09 01 −22 31

22 06 29 20 13 6 01 39 06 21 22 15 32 11 08 7 08 35 22 38

23 06 31 20 01 7 01 59 05 58 23 15 40 11 29 8 08 09 22 44

24 06 32 19 49 8 02 20 05 36 24 15 48 11 50 9 07 42 22 50

25 06 33 19 36 9 02 41 05 13 25 15 55 12 11 10 07 15 22 56

26 −06 33 +19 23 10 +03 02 +04 51 26 +16 02 −12 31 11 +06 48 −23 01

27 06 33 19 09 11 03 23 04 28 27 16 08 12 52 12 06 20 23 05

28 06 32 18 55 12 03 44 04 05 28 16 13 13 12 13 05 52 23 10

29 06 30 18 41 13 04 05 03 42 29 16 17 13 32 14 05 23 23 13

30 06 28 18 27 14 04 26 03 19 30 16 21 13 51 15 04 54 23 17

31 −06 25 +18 12 15 +04 48 +02 56 31 +16 24 −14 11 16 +04 25 −23 19

Aug. 1 06 21 17 57 16 05 09 02 33 Nov. 1 16 26 14 30 17 03 56 23 22

2 06 17 17 42 17 05 30 02 10 2 16 27 14 49 18 03 26 23 23

3 06 12 17 26 18 05 52 01 46 3 16 27 15 08 19 02 56 23 25

4 06 07 17 10 19 06 13 01 23 4 16 27 15 27 20 02 27 23 26

5 −06 01 +16 54 20 +06 34 +01 00 5 +16 26 −15 45 21 +01 57 −23 26

6 05 54 16 38 21 06 55 00 36 6 16 23 16 03 22 01 27 23 26

7 05 47 16 21 22 07 17 +00 13 7 16 20 16 21 23 00 57 23 26

8 05 39 16 04 23 07 38 −00 10 8 16 17 16 38 24 +00 27 23 25

9 05 31 15 47 24 07 59 00 34 9 16 12 16 55 25 −00 02 23 23

10 −05 22 +15 29 25 +08 19 −00 57 10 +16 06 −17 12 26 −00 32 −23 21

11 05 12 15 11 26 08 40 01 20 11 16 00 17 29 27 01 02 23 19

12 05 02 14 53 27 09 01 01 44 12 15 53 17 45 28 01 31 23 16

13 04 52 14 35 28 09 21 02 07 13 15 45 18 01 29 02 00 23 13

14 04 41 14 17 29 09 41 02 30 14 15 36 18 17 30 02 29 23 09

15 −04 29 +13 58 30 +10 01 −02 54 15 +15 26 −18 32 31 −02 58 −23 05

16 −04 17 +13 39 Oct. 1 +10 20 −03 17 16 +15 15 −18 47 32 −03 26 −23 00

UT of transit = 12h − east

+ west longitude − equation of time

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
20 CIRCUMPOLAR STARS, 2020

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

◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0

Jan. 0 54 38 138 08 Feb. 15 100 19 183 30 Apr. 1 145 57 228 42 May 17 191 20 273 49

1 55 38 139 07 16 101 19 184 29 2 146 57 229 41 18 192 19 274 48

2 56 38 140 07 17 102 19 185 28 3 147 56 230 40 19 193 18 275 47

3 57 37 141 06 18 103 18 186 27 4 148 56 231 39 20 194 17 276 46

4 58 37 142 05 19 104 18 187 26 5 149 55 232 38 21 195 16 277 45

5 59 36 143 05 20 105 17 188 25 6 150 54 233 37 22 196 15 278 44

6 60 36 144 04 21 106 17 189 24 7 151 54 234 35 23 197 14 279 43

7 61 35 145 03 22 107 17 190 23 8 152 53 235 34 24 198 12 280 41

8 62 35 146 02 23 108 16 191 22 9 153 52 236 33 25 199 11 281 40

9 63 34 147 02 24 109 16 192 21 10 154 52 237 32 26 200 10 282 39

10 64 34 148 01 25 110 15 193 20 11 155 51 238 31 27 201 09 283 38

11 65 33 149 00 26 111 15 194 19 12 156 50 239 30 28 202 08 284 37

12 66 33 149 59 27 112 15 195 18 13 157 49 240 29 29 203 07 285 35

13 67 32 150 58 28 113 14 196 17 14 158 49 241 28 30 204 06 286 34

14 68 32 151 58 29 114 14 197 16 15 159 48 242 26 31 205 05 287 33

15 69 31 152 57 Mar. 1 115 14 198 15 16 160 47 243 25 June 1 206 04 288 32

16 70 31 153 56 2 116 13 199 14 17 161 46 244 24 2 207 03 289 31

17 71 31 154 55 3 117 13 200 13 18 162 46 245 23 3 208 01 290 30

18 72 30 155 54 4 118 12 201 12 19 163 45 246 22 4 209 00 291 29

19 73 30 156 54 5 119 12 202 11 20 164 44 247 21 5 209 59 292 28

20 74 29 157 53 6 120 11 203 10 21 165 44 248 20 6 210 58 293 26

21 75 29 158 52 7 121 11 204 09 22 166 43 249 18 7 211 57 294 25

22 76 28 159 51 8 122 10 205 08 23 167 42 250 17 8 212 55 295 24

23 77 28 160 50 9 123 10 206 07 24 168 41 251 16 9 213 54 296 23

24 78 28 161 49 10 124 09 207 06 25 169 40 252 15 10 214 53 297 22

25 79 27 162 49 11 125 09 208 05 26 170 39 253 14 11 215 52 298 21

26 80 27 163 48 12 126 09 209 04 27 171 39 254 13 12 216 51 299 19

27 81 26 164 47 13 127 08 210 03 28 172 38 255 12 13 217 50 300 18

28 82 26 165 46 14 128 08 211 02 29 173 37 256 10 14 218 48 301 17

29 83 26 166 45 15 129 07 212 01 30 174 36 257 09 15 219 47 302 16

30 84 25 167 44 16 130 06 213 00 May 1 175 35 258 08 16 220 46 303 15

31 85 25 168 43 17 131 06 213 59 2 176 34 259 07 17 221 45 304 14

Feb. 1 86 25 169 43 18 132 05 214 58 3 177 33 260 06 18 222 44 305 13

2 87 24 170 42 19 133 05 215 56 4 178 32 261 05 19 223 42 306 12

3 88 24 171 41 20 134 04 216 55 5 179 32 262 03 20 224 41 307 11

4 89 24 172 40 21 135 04 217 54 6 180 31 263 02 21 225 40 308 09

5 90 23 173 39 22 136 03 218 53 7 181 30 264 01 22 226 38 309 08

6 91 23 174 38 23 137 03 219 52 8 182 29 265 00 23 227 37 310 07

7 92 22 175 37 24 138 02 220 51 9 183 28 265 59 24 228 36 311 06

8 93 22 176 36 25 139 02 221 50 10 184 27 266 58 25 229 35 312 05

9 94 21 177 35 26 140 01 222 49 11 185 26 267 56 26 230 33 313 04

10 95 21 178 34 27 141 01 223 48 12 186 25 268 55 27 231 32 314 03

11 96 21 179 33 28 142 00 224 47 13 187 24 269 54 28 232 31 315 02

12 97 21 180 33 29 142 59 225 46 14 188 23 270 53 29 233 30 316 01

13 98 20 181 32 30 143 59 226 45 15 189 22 271 52 30 234 28 316 59

14 99 20 182 31 31 144 58 227 43 16 190 21 272 51 July 1 235 27 317 58

15 100 19 183 30 Apr. 1 145 57 228 42 17 191 20 273 49 2 236 26 318 57

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

Polar Distance (p) Polaris: Jan. 0 390 Dec. 32

σ Octantis: Jan. 0 670Jan. 24 680 Oct. 11 670 Dec. 5 680 Dec. 32

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
CIRCUMPOLAR STARS, 2020 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

◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0 ◦ 0

July 1 235 27 317 58 Aug. 16 280 25 3 13 Oct. 1 325 25 48 37 Nov.16 10 36 94 09

2 236 26 318 57 17 281 23 4 12 2 326 24 49 37 17 11 35 95 08

3 237 24 319 56 18 282 22 5 11 3 327 23 50 36 18 12 34 96 08

4 238 23 320 55 19 283 21 6 10 4 328 21 51 35 19 13 33 97 07

5 239 21 321 54 20 284 19 7 09 5 329 20 52 35 20 14 33 98 06

6 240 20 322 53 21 285 18 8 08 6 330 19 53 34 21 15 32 99 06

7 241 19 323 52 22 286 17 9 07 7 331 18 54 33 22 16 31 100 05

8 242 18 324 51 23 287 15 10 07 8 332 16 55 33 23 17 30 101 04

9 243 16 325 50 24 288 14 11 06 9 333 15 56 32 24 18 29 102 04

10 244 15 326 49 25 289 13 12 05 10 334 14 57 31 25 19 29 103 03

11 245 14 327 48 26 290 11 13 04 11 335 13 58 31 26 20 28 104 03

12 246 12 328 47 27 291 10 14 03 12 336 12 59 30 27 21 27 105 02

13 247 11 329 46 28 292 08 15 03 13 337 11 60 29 28 22 26 106 02

14 248 10 330 45 29 293 07 16 02 14 338 10 61 29 29 23 26 107 01

15 249 08 331 44 30 294 06 17 01 15 339 09 62 28 30 24 25 108 00

16 250 07 332 43 31 295 04 18 00 16 340 07 63 27 Dec. 1 25 24 109 00

17 251 06 333 42 Sept. 1 296 03 18 59 17 341 06 64 27 2 26 23 109 59

18 252 04 334 41 2 297 02 19 58 18 342 05 65 26 3 27 22 110 58

19 253 03 335 40 3 298 01 20 58 19 343 04 66 26 4 28 22 111 58

20 254 01 336 39 4 298 59 21 57 20 344 03 67 25 5 29 21 112 57

21 255 00 337 37 5 299 58 22 56 21 345 02 68 25 6 30 20 113 56

22 255 59 338 36 6 300 57 23 55 22 346 01 69 24 7 31 20 114 56

23 256 57 339 35 7 301 55 24 55 23 346 59 70 23 8 32 19 115 55

24 257 56 340 34 8 302 54 25 54 24 347 58 71 23 9 33 18 116 55

25 258 55 341 33 9 303 53 26 53 25 348 57 72 22 10 34 18 117 54

26 259 54 342 32 10 304 51 27 52 26 349 56 73 21 11 35 17 118 53

27 260 52 343 31 11 305 50 28 52 27 350 55 74 21 12 36 16 119 53

28 261 51 344 31 12 306 49 29 51 28 351 54 75 20 13 37 16 120 52

29 262 49 345 30 13 307 47 30 50 29 352 53 76 20 14 38 15 121 51

30 263 48 346 29 14 308 46 31 49 30 353 52 77 19 15 39 14 122 51

31 264 47 347 28 15 309 45 32 48 31 354 51 78 18 16 40 13 123 50

Aug. 1 265 45 348 27 16 310 43 33 48 Nov. 1 355 50 79 18 17 41 13 124 49

2 266 44 349 26 17 311 42 34 47 2 356 49 80 17 18 42 12 125 49

3 267 42 350 25 18 312 41 35 46 3 357 48 81 17 19 43 12 126 48

4 268 41 351 24 19 313 40 36 46 4 358 47 82 16 20 44 11 127 47

5 269 40 352 23 20 314 39 37 45 5 359 46 83 15 21 45 11 128 47

6 270 38 353 22 21 315 37 38 44 6 0 45 84 15 22 46 10 129 46

7 271 37 354 21 22 316 36 39 43 7 1 44 85 14 23 47 10 130 45

8 272 36 355 20 23 317 35 40 43 8 2 43 86 14 24 48 09 131 45

9 273 34 356 19 24 318 33 41 42 9 3 42 87 13 25 49 08 132 44

10 274 33 357 18 25 319 32 42 41 10 4 42 88 12 26 50 08 133 43

11 275 32 358 17 26 320 31 43 41 11 5 41 89 12 27 51 07 134 42

12 276 30 359 16 27 321 30 44 40 12 6 40 90 11 28 52 07 135 42

13 277 29 0 16 28 322 28 45 39 13 7 39 91 11 29 53 06 136 41

14 278 27 1 15 29 323 27 46 38 14 8 38 92 10 30 54 06 137 40

15 279 26 2 14 30 324 26 47 38 15 9 37 93 09 31 55 05 138 40

16 280 25 3 13 Oct. 1 325 25 48 37 16 10 36 94 09 32 56 04 139 39

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.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
Z A B C D F G 

N O P Q R S T U W E

STANDARD TIME ZONES

Corrected to August 2017

Zone boundaries are approximate

Daylight Saving Time (Summer Time),

usually one hour in advance of Standard

Time, is kept in some places

Map outline © Mountain High Maps

Compiled by HM Nautical Almanac Office

V X 

P

Q

Q

R

V

U T

S

R

Q

P*

T

S

A

Z A

C

Z

A B

B

C

C

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S

S

R

H

F

G

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D*

* E*

* C

C D

G

F

H

G

C

E 

Z

Z

P

N

0° 30°E 60°E 90°E 

30°W 60°W 90°W 120°W 150°W 180° 

M

N

N

O

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Z

Z

Z

C

D

D

E

F

E*

F*

M

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W

V*

A

Y ML 

P

X 

W

W

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M*

W

M* 

M 

L

M

M†

F

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International Date Line

R

C

B

B

A

P

R

C

R

T

U

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§

§

W

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M

H

B

M*

C

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D

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h h 

m m

Z

A

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– 1

– 2

– 3

– 3 30

– 4

h m

Q*

R

S

T

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+ 4 3

+ 5

+ 6

+ 7

+ 8

Standard Time = Universal Time – value from tab

h

No Standard Time legally adopted

Universal Time = Standard Time + value from ta

h h m m

D*

E

E*

E†

F

F*

G

H

H*

I

I*

K

K*

L

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– 14

+ 1

+ 2

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– 4 30

– 5 

– 5 30

– 5 45

– 6

– 6 30

– 7

– 8 

– 8 30

– 9

– 9 30

–10

– 10 30

– 11 

– 11 30

– 12

– 12 45

– 13
RISING AND SETTING PHENOMENA, 2020 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 340 has been made for refraction; a

further allowance of 160 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 2020 February 7 at

latitude N 38◦ 550, longitude W 77◦ 150. 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 h m h m h m h m d h m h m h m h m

Feb. 4 06 57 07 06 17 31 17 22 Feb. 7 15 36 15 22 05 27 05 42

8 06 54 07 02 17 35 17 27 8 16 45 16 32 06 21 06 35

Interpolating factor for latitude is 3◦ 550/ 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 h m h m d h m h m

Latitude N 38◦ 550 Feb. 4 07 04 17 24 Feb. 7 15 25 05 39

N 38◦ 550 8 07 00 17 29 8 16 35 06 32

Local mean time 7 07 01 17 28 7 15 40 05 50

Adjustment to:

Universal time 7 12 10 22 37 7 20 49 10 59

Standard time 7 07 10 17 37 7 15 49 05 59

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
24 SUNRISE AND SUNSET, 2020

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. −1 3 23 3 53 4 15 4 33 4 48 5 01 5 22 5 41 5 59 6 16 6 34 6 55 7 07 7 21

3 3 28 3 57 4 19 4 36 4 51 5 03 5 25 5 43 6 01 6 18 6 36 6 56 7 08 7 22

7 3 33 4 01 4 23 4 40 4 54 5 06 5 27 5 46 6 02 6 19 6 37 6 57 7 09 7 22

11 3 40 4 07 4 27 4 44 4 58 5 10 5 30 5 48 6 04 6 20 6 37 6 57 7 08 7 21

15 3 47 4 12 4 32 4 48 5 01 5 13 5 33 5 50 6 06 6 21 6 38 6 57 7 08 7 20

19 3 54 4 19 4 37 4 53 5 05 5 17 5 35 5 52 6 07 6 22 6 38 6 56 7 06 7 18

23 4 02 4 25 4 43 4 57 5 10 5 20 5 38 5 54 6 08 6 22 6 38 6 55 7 05 7 16

27 4 11 4 32 4 49 5 02 5 14 5 24 5 41 5 55 6 09 6 23 6 37 6 53 7 03 7 13

31 4 19 4 39 4 54 5 07 5 18 5 27 5 43 5 57 6 10 6 23 6 36 6 51 7 00 7 10

Feb. 4 4 28 4 46 5 00 5 12 5 22 5 31 5 46 5 58 6 10 6 22 6 35 6 49 6 57 7 06

8 4 36 4 53 5 06 5 17 5 26 5 34 5 48 6 00 6 11 6 22 6 33 6 46 6 54 7 02

12 4 45 5 00 5 12 5 22 5 30 5 37 5 50 6 01 6 11 6 21 6 31 6 43 6 50 6 57

16 4 54 5 07 5 18 5 27 5 34 5 41 5 52 6 02 6 11 6 20 6 29 6 40 6 46 6 52

20 5 02 5 14 5 24 5 31 5 38 5 44 5 54 6 02 6 10 6 18 6 27 6 36 6 41 6 47

24 5 11 5 21 5 29 5 36 5 42 5 47 5 56 6 03 6 10 6 17 6 24 6 32 6 36 6 42

28 5 19 5 28 5 35 5 41 5 45 5 50 5 57 6 03 6 09 6 15 6 21 6 28 6 32 6 36

Mar. 3 5 28 5 35 5 40 5 45 5 49 5 53 5 59 6 04 6 09 6 13 6 18 6 23 6 26 6 30

7 5 36 5 41 5 46 5 49 5 53 5 55 6 00 6 04 6 08 6 11 6 15 6 19 6 21 6 24

11 5 44 5 48 5 51 5 54 5 56 5 58 6 01 6 04 6 07 6 09 6 12 6 14 6 16 6 17

15 5 52 5 54 5 56 5 58 5 59 6 01 6 02 6 04 6 06 6 07 6 08 6 09 6 10 6 11

19 6 00 6 01 6 02 6 02 6 03 6 03 6 04 6 04 6 04 6 05 6 05 6 05 6 05 6 05

23 6 08 6 07 6 07 6 06 6 06 6 05 6 05 6 04 6 03 6 02 6 01 6 00 5 59 5 58

27 6 15 6 13 6 12 6 10 6 09 6 08 6 06 6 04 6 02 6 00 5 58 5 55 5 53 5 52

31 6 23 6 20 6 17 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 54 5 50 5 48 5 45

Apr. 4 6 31 6 26 6 22 6 18 6 15 6 13 6 08 6 04 6 00 5 55 5 51 5 45 5 42 5 39

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. −1 20 41 20 12 19 49 19 32 19 17 19 04 18 42 18 23 18 06 17 49 17 31 17 10 16 57 16 43

3 20 40 20 11 19 50 19 32 19 18 19 05 18 44 18 25 18 08 17 51 17 33 17 12 17 00 16 47

7 20 38 20 10 19 49 19 32 19 18 19 05 18 45 18 26 18 10 17 53 17 36 17 15 17 04 16 50

11 20 35 20 08 19 48 19 31 19 17 19 05 18 45 18 28 18 11 17 55 17 38 17 19 17 07 16 54

15 20 31 20 05 19 46 19 30 19 17 19 05 18 45 18 29 18 13 17 57 17 41 17 22 17 11 16 59

19 20 26 20 02 19 43 19 28 19 15 19 04 18 45 18 29 18 14 17 59 17 43 17 25 17 15 17 03

23 20 20 19 57 19 40 19 25 19 13 19 03 18 45 18 30 18 15 18 01 17 46 17 29 17 19 17 08

27 20 13 19 52 19 36 19 22 19 11 19 01 18 44 18 30 18 16 18 03 17 49 17 32 17 23 17 12

31 20 06 19 47 19 32 19 19 19 08 18 59 18 43 18 30 18 17 18 04 17 51 17 36 17 27 17 17

Feb. 4 19 59 19 41 19 27 19 15 19 05 18 57 18 42 18 29 18 17 18 06 17 53 17 39 17 31 17 22

8 19 50 19 34 19 21 19 11 19 02 18 54 18 40 18 28 18 18 18 07 17 55 17 43 17 35 17 27

12 19 42 19 27 19 16 19 06 18 58 18 51 18 38 18 28 18 18 18 08 17 58 17 46 17 39 17 32

16 19 33 19 20 19 09 19 01 18 53 18 47 18 36 18 26 18 17 18 09 17 59 17 49 17 43 17 36

20 19 24 19 12 19 03 18 55 18 49 18 43 18 33 18 25 18 17 18 09 18 01 17 52 17 47 17 41

24 19 14 19 04 18 56 18 50 18 44 18 39 18 31 18 23 18 17 18 10 18 03 17 55 17 51 17 46

28 19 05 18 56 18 50 18 44 18 39 18 35 18 28 18 22 18 16 18 10 18 04 17 58 17 54 17 50

Mar. 3 18 55 18 48 18 42 18 38 18 34 18 31 18 25 18 20 18 15 18 11 18 06 18 01 17 58 17 54

7 18 45 18 39 18 35 18 32 18 29 18 26 18 22 18 18 18 14 18 11 18 07 18 03 18 01 17 59

11 18 35 18 31 18 28 18 25 18 23 18 21 18 18 18 16 18 13 18 11 18 09 18 06 18 05 18 03

15 18 24 18 22 18 20 18 19 18 18 18 17 18 15 18 13 18 12 18 11 18 10 18 09 18 08 18 07

19 18 14 18 13 18 13 18 12 18 12 18 12 18 11 18 11 18 11 18 11 18 11 18 11 18 11 18 11

23 18 04 18 05 18 05 18 06 18 06 18 07 18 08 18 09 18 10 18 11 18 12 18 13 18 14 18 15

27 17 54 17 56 17 58 17 59 18 01 18 02 18 04 18 06 18 09 18 11 18 13 18 16 18 18 18 20

31 17 44 17 47 17 50 17 53 17 55 17 57 18 01 18 04 18 07 18 11 18 14 18 18 18 21 18 24

Apr. 4 17 34 17 39 17 43 17 47 17 50 17 53 17 57 18 02 18 06 18 10 18 15 18 21 18 24 18 28

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
SUNRISE AND SUNSET, 2020 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. −1 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 51 10 31

3 7 22 7 28 7 35 7 42 7 50 7 58 8 08 8 19 8 31 8 45 9 01 9 22 9 48 10 25

7 7 22 7 28 7 34 7 41 7 49 7 57 8 07 8 17 8 29 8 42 8 58 9 18 9 42 10 16

11 7 21 7 27 7 33 7 40 7 48 7 56 8 05 8 14 8 26 8 39 8 54 9 12 9 35 10 06

15 7 20 7 26 7 32 7 38 7 45 7 53 8 02 8 11 8 22 8 34 8 48 9 06 9 27 9 54

19 7 18 7 24 7 30 7 36 7 42 7 50 7 58 8 07 8 17 8 29 8 42 8 58 9 17 9 42

23 7 16 7 21 7 27 7 32 7 39 7 46 7 53 8 02 8 11 8 22 8 34 8 49 9 07 9 29

27 7 13 7 18 7 23 7 29 7 35 7 41 7 48 7 56 8 05 8 15 8 26 8 40 8 56 9 16

31 7 10 7 14 7 19 7 24 7 30 7 36 7 42 7 50 7 58 8 07 8 17 8 30 8 44 9 02

Feb. 4 7 06 7 10 7 15 7 19 7 24 7 30 7 36 7 43 7 50 7 58 8 08 8 19 8 32 8 47

8 7 02 7 06 7 10 7 14 7 19 7 24 7 29 7 35 7 42 7 49 7 58 8 08 8 19 8 33

12 6 57 7 01 7 04 7 08 7 12 7 17 7 22 7 27 7 33 7 40 7 48 7 56 8 06 8 18

16 6 52 6 55 6 59 7 02 7 06 7 10 7 14 7 19 7 24 7 30 7 37 7 45 7 53 8 04

20 6 47 6 50 6 53 6 56 6 59 7 02 7 06 7 10 7 15 7 20 7 26 7 32 7 40 7 49

24 6 42 6 44 6 46 6 49 6 52 6 55 6 58 7 01 7 05 7 10 7 15 7 20 7 27 7 34

28 6 36 6 38 6 40 6 42 6 44 6 47 6 49 6 52 6 55 6 59 7 03 7 08 7 13 7 19

Mar. 3 6 30 6 31 6 33 6 35 6 36 6 38 6 41 6 43 6 45 6 48 6 51 6 55 6 59 7 04

7 6 24 6 25 6 26 6 27 6 29 6 30 6 32 6 33 6 35 6 37 6 40 6 42 6 45 6 49

11 6 17 6 18 6 19 6 20 6 21 6 22 6 23 6 24 6 25 6 26 6 28 6 29 6 31 6 33

15 6 11 6 11 6 12 6 12 6 12 6 13 6 13 6 14 6 14 6 15 6 16 6 16 6 17 6 18

19 6 05 6 05 6 04 6 04 6 04 6 04 6 04 6 04 6 04 6 04 6 04 6 03 6 03 6 03

23 5 58 5 58 5 57 5 57 5 56 5 56 5 55 5 54 5 53 5 52 5 51 5 50 5 49 5 47

27 5 52 5 51 5 50 5 49 5 48 5 47 5 46 5 44 5 43 5 41 5 39 5 37 5 35 5 32

31 5 45 5 44 5 43 5 41 5 40 5 38 5 36 5 34 5 32 5 30 5 27 5 24 5 21 5 17

Apr. 4 5 39 5 37 5 35 5 34 5 32 5 30 5 27 5 25 5 22 5 19 5 15 5 11 5 06 5 01

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. −1 16 43 16 37 16 30 16 23 16 15 16 06 15 57 15 46 15 33 15 19 15 02 14 41 14 13 13 34

3 16 47 16 41 16 34 16 27 16 19 16 10 16 01 15 50 15 38 15 24 15 07 14 47 14 21 13 44

7 16 50 16 44 16 38 16 31 16 23 16 15 16 06 15 55 15 44 15 30 15 14 14 55 14 30 13 56

11 16 54 16 48 16 42 16 36 16 28 16 20 16 11 16 01 15 50 15 37 15 22 15 04 14 41 14 10

15 16 59 16 53 16 47 16 41 16 33 16 26 16 17 16 08 15 57 15 45 15 31 15 13 14 52 14 25

19 17 03 16 58 16 52 16 46 16 39 16 32 16 24 16 15 16 05 15 53 15 40 15 24 15 05 14 40

23 17 08 17 03 16 57 16 51 16 45 16 38 16 31 16 22 16 13 16 02 15 50 15 35 15 17 14 55

27 17 12 17 08 17 03 16 57 16 51 16 45 16 38 16 30 16 21 16 11 16 00 15 46 15 30 15 11

31 17 17 17 13 17 08 17 03 16 58 16 52 16 45 16 38 16 30 16 21 16 10 15 58 15 44 15 26

Feb. 4 17 22 17 18 17 14 17 09 17 04 16 58 16 52 16 46 16 38 16 30 16 21 16 10 15 57 15 41

8 17 27 17 23 17 19 17 15 17 10 17 05 17 00 16 54 16 47 16 40 16 31 16 21 16 10 15 56

12 17 32 17 28 17 25 17 21 17 17 17 12 17 07 17 02 16 56 16 49 16 42 16 33 16 23 16 11

16 17 36 17 33 17 30 17 27 17 23 17 19 17 15 17 10 17 05 16 59 16 52 16 45 16 36 16 26

20 17 41 17 38 17 36 17 33 17 29 17 26 17 22 17 18 17 13 17 08 17 03 16 56 16 49 16 40

24 17 46 17 43 17 41 17 38 17 36 17 33 17 30 17 26 17 22 17 18 17 13 17 08 17 01 16 54

28 17 50 17 48 17 46 17 44 17 42 17 39 17 37 17 34 17 31 17 27 17 23 17 19 17 14 17 08

Mar. 3 17 54 17 53 17 51 17 50 17 48 17 46 17 44 17 42 17 39 17 37 17 33 17 30 17 26 17 21

7 17 59 17 58 17 57 17 55 17 54 17 53 17 51 17 50 17 48 17 46 17 44 17 41 17 38 17 35

11 18 03 18 02 18 02 18 01 18 00 17 59 17 58 17 57 17 56 17 55 17 53 17 52 17 50 17 48

15 18 07 18 07 18 07 18 06 18 06 18 06 18 05 18 05 18 04 18 04 18 03 18 03 18 02 18 01

19 18 11 18 11 18 12 18 12 18 12 18 12 18 12 18 12 18 13 18 13 18 13 18 13 18 14 18 14

23 18 15 18 16 18 16 18 17 18 18 18 18 18 19 18 20 18 21 18 22 18 23 18 24 18 26 18 27

27 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 37 18 40

31 18 24 18 25 18 26 18 28 18 29 18 31 18 33 18 35 18 37 18 40 18 42 18 46 18 49 18 54

Apr. 4 18 28 18 29 18 31 18 33 18 35 18 37 18 40 18 42 18 45 18 49 18 52 18 56 19 01 19 07

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
26 SUNRISE AND SUNSET, 2020

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 23 6 20 6 17 6 14 6 12 6 10 6 07 6 04 6 01 5 58 5 54 5 50 5 48 5 45

Apr. 4 6 31 6 26 6 22 6 18 6 15 6 13 6 08 6 04 6 00 5 55 5 51 5 45 5 42 5 39

8 6 39 6 32 6 27 6 22 6 19 6 15 6 09 6 04 5 58 5 53 5 47 5 41 5 37 5 32

12 6 46 6 38 6 32 6 26 6 22 6 17 6 10 6 04 5 57 5 51 5 44 5 36 5 32 5 26

16 6 54 6 44 6 37 6 30 6 25 6 20 6 11 6 04 5 56 5 49 5 41 5 32 5 26 5 20

20 7 02 6 51 6 42 6 34 6 28 6 22 6 13 6 04 5 55 5 47 5 38 5 27 5 21 5 14

24 7 09 6 57 6 47 6 38 6 31 6 25 6 14 6 04 5 55 5 45 5 35 5 23 5 17 5 09

28 7 17 7 03 6 52 6 42 6 34 6 27 6 15 6 04 5 54 5 44 5 33 5 20 5 12 5 03

May 2 7 24 7 09 6 56 6 46 6 38 6 30 6 17 6 05 5 54 5 42 5 30 5 16 5 08 4 58

6 7 31 7 15 7 01 6 50 6 41 6 32 6 18 6 05 5 53 5 41 5 28 5 13 5 04 4 54

10 7 39 7 20 7 06 6 54 6 44 6 35 6 19 6 06 5 53 5 40 5 26 5 10 5 00 4 49

14 7 45 7 26 7 10 6 58 6 47 6 37 6 21 6 06 5 53 5 39 5 24 5 07 4 57 4 45

18 7 52 7 31 7 15 7 01 6 50 6 40 6 23 6 07 5 53 5 38 5 23 5 05 4 54 4 42

22 7 59 7 36 7 19 7 05 6 53 6 42 6 24 6 08 5 53 5 38 5 22 5 03 4 52 4 39

26 8 04 7 41 7 23 7 08 6 56 6 45 6 26 6 09 5 54 5 38 5 21 5 01 4 49 4 36

30 8 10 7 45 7 27 7 11 6 58 6 47 6 27 6 10 5 54 5 38 5 20 5 00 4 48 4 34

June 3 8 15 7 49 7 30 7 14 7 01 6 49 6 29 6 11 5 55 5 38 5 20 4 59 4 47 4 32

7 8 19 7 53 7 33 7 17 7 03 6 51 6 30 6 12 5 55 5 38 5 20 4 58 4 46 4 31

11 8 22 7 56 7 35 7 19 7 05 6 52 6 32 6 13 5 56 5 39 5 20 4 58 4 45 4 31

15 8 25 7 58 7 37 7 20 7 06 6 54 6 33 6 14 5 57 5 39 5 21 4 59 4 46 4 31

19 8 26 7 59 7 38 7 22 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 59 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 6 00 5 42 5 23 5 01 4 48 4 33

July 1 8 26 7 59 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 03 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 26 5 04 4 52 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 44 17 47 17 50 17 53 17 55 17 57 18 01 18 04 18 07 18 11 18 14 18 18 18 21 18 24

Apr. 4 17 34 17 39 17 43 17 47 17 50 17 53 17 57 18 02 18 06 18 10 18 15 18 21 18 24 18 28

8 17 24 17 31 17 36 17 40 17 44 17 48 17 54 18 00 18 05 18 10 18 16 18 23 18 27 18 32

12 17 14 17 22 17 29 17 34 17 39 17 43 17 51 17 58 18 04 18 10 18 17 18 26 18 30 18 36

16 17 05 17 14 17 22 17 28 17 34 17 39 17 48 17 56 18 03 18 11 18 19 18 28 18 34 18 40

20 16 55 17 06 17 15 17 23 17 29 17 35 17 45 17 54 18 02 18 11 18 20 18 31 18 37 18 44

24 16 46 16 59 17 09 17 17 17 25 17 31 17 42 17 52 18 01 18 11 18 21 18 33 18 40 18 48

28 16 37 16 51 17 03 17 12 17 20 17 27 17 40 17 50 18 01 18 11 18 23 18 36 18 43 18 52

May 2 16 29 16 45 16 57 17 07 17 16 17 24 17 37 17 49 18 00 18 12 18 24 18 38 18 47 18 56

6 16 21 16 38 16 51 17 03 17 12 17 20 17 35 17 48 18 00 18 12 18 26 18 41 18 50 19 00

10 16 14 16 32 16 46 16 58 17 09 17 18 17 33 17 47 18 00 18 13 18 27 18 43 18 53 19 04

14 16 07 16 26 16 42 16 55 17 05 17 15 17 32 17 46 18 00 18 14 18 29 18 46 18 56 19 08

18 16 00 16 21 16 38 16 51 17 03 17 13 17 30 17 46 18 00 18 15 18 30 18 49 18 59 19 12

22 15 54 16 17 16 34 16 48 17 00 17 11 17 29 17 45 18 00 18 16 18 32 18 51 19 02 19 15

26 15 49 16 13 16 31 16 46 16 58 17 09 17 28 17 45 18 01 18 17 18 34 18 53 19 05 19 19

30 15 45 16 09 16 28 16 44 16 57 17 08 17 28 17 45 18 01 18 18 18 35 18 56 19 08 19 22

June 3 15 42 16 07 16 26 16 42 16 56 17 07 17 28 17 45 18 02 18 19 18 37 18 58 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 19 00 19 12 19 27

11 15 37 16 04 16 24 16 41 16 55 17 07 17 28 17 46 18 03 18 21 18 40 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 03 19 16 19 31

19 15 37 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 38 16 05 16 25 16 42 16 56 17 09 17 30 17 49 18 06 18 24 18 43 19 05 19 18 19 33

27 15 39 16 06 16 27 16 44 16 58 17 10 17 31 17 50 18 07 18 24 18 43 19 05 19 18 19 33

July 1 15 42 16 09 16 29 16 45 16 59 17 11 17 32 17 51 18 08 18 25 18 44 19 05 19 18 19 33

5 15 46 16 12 16 31 16 48 17 01 17 13 17 34 17 52 18 08 18 25 18 44 19 05 19 17 19 32

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
SUNRISE AND SUNSET, 2020 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 45 5 44 5 43 5 41 5 40 5 38 5 36 5 34 5 32 5 30 5 27 5 24 5 21 5 17

Apr. 4 5 39 5 37 5 35 5 34 5 32 5 30 5 27 5 25 5 22 5 19 5 15 5 11 5 06 5 01

8 5 32 5 30 5 28 5 26 5 24 5 21 5 18 5 15 5 11 5 07 5 03 4 58 4 52 4 46

12 5 26 5 24 5 21 5 19 5 16 5 13 5 09 5 05 5 01 4 56 4 51 4 45 4 38 4 30

16 5 20 5 18 5 15 5 11 5 08 5 04 5 00 4 56 4 51 4 46 4 39 4 32 4 24 4 14

20 5 14 5 11 5 08 5 04 5 01 4 56 4 52 4 47 4 41 4 35 4 28 4 20 4 10 3 59

24 5 09 5 05 5 02 4 58 4 53 4 49 4 43 4 38 4 31 4 24 4 16 4 07 3 56 3 43

28 5 03 5 00 4 56 4 51 4 46 4 41 4 35 4 29 4 22 4 14 4 05 3 55 3 42 3 28

May 2 4 58 4 54 4 50 4 45 4 40 4 34 4 28 4 21 4 13 4 04 3 54 3 43 3 29 3 12

6 4 54 4 49 4 44 4 39 4 33 4 27 4 20 4 13 4 04 3 55 3 44 3 31 3 15 2 56

10 4 49 4 45 4 39 4 34 4 28 4 21 4 14 4 05 3 56 3 46 3 33 3 19 3 02 2 40

14 4 45 4 40 4 35 4 29 4 22 4 15 4 07 3 58 3 48 3 37 3 24 3 08 2 49 2 24

18 4 42 4 36 4 31 4 24 4 17 4 10 4 01 3 52 3 41 3 29 3 15 2 58 2 36 2 08

22 4 39 4 33 4 27 4 20 4 13 4 05 3 56 3 46 3 35 3 22 3 06 2 48 2 24 1 52

26 4 36 4 30 4 24 4 17 4 09 4 01 3 51 3 41 3 29 3 15 2 59 2 38 2 13 1 36

30 4 34 4 28 4 21 4 14 4 06 3 57 3 47 3 36 3 24 3 09 2 52 2 30 2 02 1 19

June 3 4 32 4 26 4 19 4 12 4 03 3 54 3 44 3 33 3 20 3 04 2 46 2 23 1 52 1 02

7 4 31 4 25 4 18 4 10 4 01 3 52 3 42 3 30 3 16 3 01 2 41 2 17 1 44 0 43

11 4 31 4 24 4 17 4 09 4 00 3 51 3 40 3 28 3 14 2 58 2 38 2 13 1 37 0 18

15 4 31 4 24 4 17 4 09 4 00 3 50 3 39 3 27 3 13 2 56 2 36 2 10 1 33

19 4 31 4 24 4 17 4 09 4 00 3 50 3 40 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 37 2 10 1 32

27 4 33 4 27 4 19 4 11 4 03 3 53 3 42 3 30 3 16 2 59 2 39 2 13 1 36

July 1 4 35 4 28 4 21 4 13 4 05 3 55 3 45 3 33 3 19 3 02 2 43 2 17 1 42 0 24

5 4 37 4 31 4 24 4 16 4 08 3 58 3 48 3 36 3 23 3 07 2 48 2 23 1 50 0 50

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 24 18 25 18 26 18 28 18 29 18 31 18 33 18 35 18 37 18 40 18 42 18 46 18 49 18 54

Apr. 4 18 28 18 29 18 31 18 33 18 35 18 37 18 40 18 42 18 45 18 49 18 52 18 56 19 01 19 07

8 18 32 18 34 18 36 18 38 18 41 18 44 18 46 18 50 18 53 18 57 19 02 19 07 19 13 19 20

12 18 36 18 38 18 41 18 44 18 47 18 50 18 53 18 57 19 02 19 06 19 12 19 18 19 25 19 34

16 18 40 18 43 18 46 18 49 18 52 18 56 19 00 19 05 19 10 19 15 19 22 19 29 19 37 19 47

20 18 44 18 47 18 50 18 54 18 58 19 02 19 07 19 12 19 18 19 24 19 32 19 40 19 50 20 01

24 18 48 18 52 18 55 18 59 19 04 19 09 19 14 19 20 19 26 19 33 19 42 19 51 20 02 20 15

28 18 52 18 56 19 00 19 05 19 09 19 15 19 21 19 27 19 34 19 42 19 52 20 02 20 15 20 30

May 2 18 56 19 00 19 05 19 10 19 15 19 21 19 27 19 34 19 42 19 51 20 01 20 13 20 28 20 45

6 19 00 19 05 19 10 19 15 19 21 19 27 19 34 19 42 19 50 20 00 20 11 20 25 20 40 21 00

10 19 04 19 09 19 14 19 20 19 26 19 33 19 40 19 49 19 58 20 09 20 21 20 36 20 53 21 16

14 19 08 19 13 19 19 19 25 19 31 19 39 19 47 19 56 20 06 20 17 20 31 20 47 21 06 21 31

18 19 12 19 17 19 23 19 29 19 36 19 44 19 53 20 02 20 13 20 25 20 40 20 57 21 19 21 48

22 19 15 19 21 19 27 19 34 19 41 19 49 19 58 20 08 20 20 20 33 20 49 21 08 21 32 22 05

26 19 19 19 25 19 31 19 38 19 46 19 54 20 04 20 14 20 26 20 40 20 57 21 18 21 44 22 22

30 19 22 19 28 19 35 19 42 19 50 19 59 20 09 20 20 20 32 20 47 21 05 21 27 21 56 22 40

June 3 19 24 19 31 19 38 19 45 19 54 20 03 20 13 20 24 20 38 20 53 21 12 21 35 22 06 22 59

7 19 27 19 33 19 41 19 48 19 57 20 06 20 17 20 28 20 42 20 58 21 17 21 42 22 16 23 20

11 19 29 19 36 19 43 19 51 19 59 20 09 20 20 20 32 20 46 21 02 21 22 21 48 22 24 23 56

15 19 31 19 37 19 45 19 53 20 01 20 11 20 22 20 34 20 48 21 05 21 26 21 52 22 29

19 19 32 19 39 19 46 19 54 20 03 20 13 20 23 20 36 20 50 21 07 21 27 21 54 22 32

23 19 33 19 40 19 47 19 55 20 04 20 13 20 24 20 36 20 51 21 08 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 12 20 23 20 35 20 49 21 05 21 25 21 50 22 25 23 37

5 19 32 19 38 19 45 19 53 20 01 20 11 20 21 20 33 20 46 21 02 21 21 21 45 22 17 23 15

indicates Sun continuously above horizon.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
28 SUNRISE AND SUNSET, 2020

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 7 59 7 39 7 23 7 09 6 57 6 36 6 17 6 00 5 43 5 24 5 03 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 26 5 04 4 52 4 37

9 8 21 7 56 7 37 7 21 7 07 6 56 6 36 6 18 6 02 5 45 5 27 5 06 4 54 4 40

13 8 17 7 53 7 34 7 19 7 06 6 55 6 35 6 18 6 02 5 46 5 29 5 08 4 56 4 43

17 8 13 7 49 7 32 7 17 7 04 6 53 6 35 6 18 6 03 5 47 5 30 5 10 4 59 4 46

21 8 07 7 45 7 28 7 14 7 02 6 52 6 34 6 18 6 03 5 48 5 32 5 13 5 02 4 49

25 8 01 7 41 7 24 7 11 7 00 6 50 6 32 6 17 6 03 5 49 5 33 5 15 5 04 4 52

29 7 54 7 35 7 20 7 07 6 57 6 47 6 31 6 17 6 03 5 49 5 35 5 17 5 07 4 56

Aug. 2 7 47 7 29 7 15 7 03 6 53 6 44 6 29 6 16 6 03 5 50 5 36 5 20 5 10 5 00

6 7 40 7 23 7 10 6 59 6 50 6 41 6 27 6 14 6 02 5 50 5 37 5 22 5 13 5 03

10 7 31 7 16 7 04 6 54 6 46 6 38 6 25 6 13 6 02 5 51 5 39 5 25 5 16 5 07

14 7 23 7 09 6 58 6 49 6 41 6 34 6 22 6 11 6 01 5 51 5 40 5 27 5 20 5 11

18 7 14 7 02 6 52 6 44 6 37 6 30 6 19 6 10 6 00 5 51 5 41 5 29 5 23 5 15

22 7 05 6 54 6 45 6 38 6 32 6 26 6 16 6 08 5 59 5 51 5 42 5 32 5 26 5 19

26 6 55 6 46 6 38 6 32 6 27 6 22 6 13 6 06 5 58 5 51 5 43 5 34 5 29 5 22

30 6 46 6 38 6 31 6 26 6 21 6 17 6 10 6 03 5 57 5 51 5 44 5 36 5 31 5 26

Sept. 3 6 36 6 29 6 24 6 20 6 16 6 12 6 06 6 01 5 56 5 51 5 45 5 38 5 34 5 30

7 6 26 6 21 6 17 6 13 6 10 6 08 6 03 5 59 5 55 5 50 5 46 5 40 5 37 5 34

11 6 16 6 12 6 09 6 07 6 05 6 03 5 59 5 56 5 53 5 50 5 47 5 43 5 40 5 37

15 6 06 6 03 6 02 6 00 5 59 5 58 5 56 5 54 5 52 5 50 5 47 5 45 5 43 5 41

19 5 55 5 55 5 54 5 54 5 53 5 53 5 52 5 51 5 50 5 49 5 48 5 47 5 46 5 45

23 5 45 5 46 5 47 5 47 5 47 5 48 5 48 5 49 5 49 5 49 5 49 5 49 5 49 5 49

27 5 35 5 37 5 39 5 40 5 42 5 43 5 45 5 46 5 48 5 49 5 50 5 51 5 52 5 53

Oct. 1 5 24 5 28 5 31 5 34 5 36 5 38 5 41 5 44 5 46 5 49 5 51 5 54 5 55 5 57

5 5 14 5 20 5 24 5 27 5 30 5 33 5 38 5 41 5 45 5 48 5 52 5 56 5 58 6 01

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 09 16 29 16 45 16 59 17 11 17 32 17 51 18 08 18 25 18 44 19 05 19 18 19 33

5 15 46 16 12 16 31 16 48 17 01 17 13 17 34 17 52 18 08 18 25 18 44 19 05 19 17 19 32

9 15 50 16 15 16 34 16 50 17 03 17 15 17 35 17 52 18 09 18 26 18 43 19 04 19 16 19 31

13 15 55 16 19 16 38 16 53 17 06 17 17 17 36 17 53 18 09 18 26 18 43 19 03 19 15 19 29

17 16 00 16 23 16 41 16 56 17 08 17 19 17 38 17 54 18 10 18 25 18 42 19 02 19 13 19 26

21 16 06 16 28 16 45 16 59 17 11 17 21 17 39 17 55 18 10 18 25 18 41 19 00 19 11 19 24

25 16 12 16 33 16 49 17 02 17 14 17 24 17 41 17 56 18 10 18 24 18 40 18 58 19 08 19 20

29 16 19 16 38 16 53 17 06 17 17 17 26 17 42 17 57 18 10 18 24 18 38 18 55 19 05 19 16

Aug. 2 16 26 16 44 16 58 17 10 17 20 17 28 17 44 17 57 18 10 18 23 18 36 18 52 19 02 19 12

6 16 33 16 49 17 02 17 13 17 22 17 31 17 45 17 57 18 09 18 21 18 34 18 49 18 58 19 08

10 16 40 16 55 17 07 17 17 17 25 17 33 17 46 17 58 18 09 18 20 18 32 18 46 18 54 19 03

14 16 47 17 01 17 12 17 21 17 28 17 35 17 47 17 58 18 08 18 18 18 29 18 42 18 49 18 58

18 16 54 17 06 17 16 17 24 17 31 17 38 17 48 17 58 18 07 18 16 18 26 18 38 18 44 18 52

22 17 02 17 12 17 21 17 28 17 34 17 40 17 49 17 58 18 06 18 14 18 23 18 33 18 39 18 46

26 17 09 17 18 17 26 17 32 17 37 17 42 17 50 17 58 18 05 18 12 18 20 18 29 18 34 18 40

30 17 16 17 24 17 30 17 36 17 40 17 44 17 51 17 58 18 04 18 10 18 17 18 24 18 29 18 34

Sept. 3 17 24 17 30 17 35 17 39 17 43 17 46 17 52 17 57 18 02 18 08 18 13 18 20 18 23 18 28

7 17 31 17 36 17 40 17 43 17 46 17 48 17 53 17 57 18 01 18 05 18 10 18 15 18 18 18 21

11 17 38 17 42 17 44 17 47 17 49 17 51 17 54 17 57 18 00 18 03 18 06 18 10 18 12 18 15

15 17 46 17 48 17 49 17 50 17 52 17 53 17 55 17 56 17 58 18 00 18 02 18 05 18 06 18 08

19 17 53 17 53 17 54 17 54 17 55 17 55 17 55 17 56 17 57 17 58 17 59 18 00 18 01 18 02

23 18 01 17 59 17 59 17 58 17 57 17 57 17 56 17 56 17 55 17 55 17 55 17 55 17 55 17 55

27 18 08 18 06 18 04 18 02 18 00 17 59 17 57 17 56 17 54 17 53 17 51 17 50 17 49 17 48

Oct. 1 18 16 18 12 18 08 18 06 18 04 18 02 17 58 17 55 17 53 17 50 17 48 17 45 17 43 17 42

5 18 23 18 18 18 13 18 10 18 07 18 04 17 59 17 55 17 52 17 48 17 44 17 40 17 38 17 35

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
SUNRISE AND SUNSET, 2020 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 05 3 55 3 45 3 33 3 19 3 02 2 43 2 17 1 42 0 24

5 4 37 4 31 4 24 4 16 4 08 3 58 3 48 3 36 3 23 3 07 2 48 2 23 1 50 0 50

9 4 40 4 33 4 26 4 19 4 11 4 02 3 52 3 40 3 27 3 12 2 54 2 31 2 00 1 10

13 4 43 4 36 4 30 4 22 4 15 4 06 3 56 3 45 3 33 3 18 3 01 2 39 2 11 1 28

17 4 46 4 40 4 33 4 26 4 19 4 10 4 01 3 50 3 39 3 25 3 08 2 48 2 23 1 46

21 4 49 4 43 4 37 4 30 4 23 4 15 4 06 3 56 3 45 3 32 3 17 2 58 2 35 2 03

25 4 52 4 47 4 41 4 35 4 28 4 20 4 12 4 02 3 52 3 40 3 25 3 08 2 47 2 19

29 4 56 4 51 4 45 4 39 4 33 4 26 4 18 4 09 3 59 3 48 3 35 3 19 3 00 2 35

Aug. 2 5 00 4 55 4 50 4 44 4 38 4 31 4 24 4 16 4 07 3 56 3 44 3 30 3 13 2 51

6 5 03 4 59 4 54 4 49 4 43 4 37 4 30 4 23 4 14 4 05 3 53 3 41 3 25 3 06

10 5 07 5 03 4 59 4 54 4 48 4 43 4 37 4 30 4 22 4 13 4 03 3 51 3 38 3 21

14 5 11 5 07 5 03 4 59 4 54 4 49 4 43 4 37 4 30 4 22 4 13 4 02 3 50 3 35

18 5 15 5 11 5 08 5 04 4 59 4 55 4 50 4 44 4 38 4 30 4 22 4 13 4 02 3 49

22 5 19 5 16 5 12 5 09 5 05 5 01 4 56 4 51 4 45 4 39 4 32 4 24 4 14 4 03

26 5 22 5 20 5 17 5 14 5 10 5 07 5 03 4 58 4 53 4 48 4 42 4 34 4 26 4 17

30 5 26 5 24 5 21 5 19 5 16 5 13 5 09 5 05 5 01 4 56 4 51 4 45 4 38 4 30

Sept. 3 5 30 5 28 5 26 5 24 5 21 5 18 5 16 5 12 5 09 5 05 5 01 4 55 4 50 4 43

7 5 34 5 32 5 30 5 29 5 27 5 24 5 22 5 20 5 17 5 13 5 10 5 06 5 01 4 56

11 5 37 5 36 5 35 5 34 5 32 5 30 5 29 5 27 5 24 5 22 5 19 5 16 5 13 5 09

15 5 41 5 40 5 39 5 39 5 37 5 36 5 35 5 34 5 32 5 31 5 29 5 27 5 24 5 21

19 5 45 5 45 5 44 5 44 5 43 5 42 5 42 5 41 5 40 5 39 5 38 5 37 5 35 5 34

23 5 49 5 49 5 49 5 49 5 48 5 48 5 48 5 48 5 48 5 48 5 47 5 47 5 47 5 46

27 5 53 5 53 5 53 5 54 5 54 5 54 5 55 5 55 5 56 5 56 5 57 5 58 5 58 5 59

Oct. 1 5 57 5 57 5 58 5 59 6 00 6 01 6 01 6 03 6 04 6 05 6 06 6 08 6 10 6 12

5 6 01 6 02 6 03 6 04 6 05 6 07 6 08 6 10 6 12 6 14 6 16 6 18 6 21 6 25

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 12 20 23 20 35 20 49 21 05 21 25 21 50 22 25 23 37

5 19 32 19 38 19 45 19 53 20 01 20 11 20 21 20 33 20 46 21 02 21 21 21 45 22 17 23 15

9 19 31 19 37 19 44 19 51 19 59 20 08 20 18 20 30 20 43 20 58 21 16 21 38 22 09 22 57

13 19 29 19 35 19 42 19 49 19 57 20 05 20 15 20 26 20 38 20 53 21 10 21 31 21 59 22 39

17 19 26 19 32 19 39 19 46 19 53 20 01 20 11 20 21 20 33 20 47 21 03 21 22 21 47 22 23

21 19 24 19 29 19 35 19 42 19 49 19 57 20 06 20 16 20 27 20 40 20 55 21 13 21 36 22 07

25 19 20 19 26 19 31 19 38 19 44 19 52 20 00 20 10 20 20 20 32 20 46 21 03 21 23 21 50

29 19 16 19 22 19 27 19 33 19 39 19 46 19 54 20 03 20 13 20 24 20 37 20 52 21 11 21 34

Aug. 2 19 12 19 17 19 22 19 28 19 34 19 40 19 48 19 56 20 05 20 15 20 27 20 41 20 58 21 19

6 19 08 19 12 19 17 19 22 19 28 19 34 19 40 19 48 19 56 20 06 20 16 20 29 20 44 21 03

10 19 03 19 07 19 11 19 16 19 21 19 27 19 33 19 40 19 47 19 56 20 06 20 17 20 31 20 47

14 18 58 19 01 19 05 19 10 19 14 19 19 19 25 19 31 19 38 19 46 19 55 20 05 20 17 20 31

18 18 52 18 55 18 59 19 03 19 07 19 12 19 17 19 22 19 29 19 36 19 43 19 52 20 03 20 16

22 18 46 18 49 18 53 18 56 19 00 19 04 19 08 19 13 19 19 19 25 19 32 19 40 19 49 20 00

26 18 40 18 43 18 46 18 49 18 52 18 56 19 00 19 04 19 09 19 14 19 20 19 27 19 35 19 44

30 18 34 18 36 18 39 18 41 18 44 18 47 18 51 18 54 18 59 19 03 19 08 19 14 19 21 19 29

Sept. 3 18 28 18 30 18 32 18 34 18 36 18 39 18 42 18 45 18 48 18 52 18 56 19 01 19 07 19 13

7 18 21 18 23 18 25 18 26 18 28 18 30 18 33 18 35 18 38 18 41 18 44 18 48 18 53 18 58

11 18 15 18 16 18 17 18 19 18 20 18 22 18 23 18 25 18 27 18 30 18 32 18 35 18 38 18 42

15 18 08 18 09 18 10 18 11 18 12 18 13 18 14 18 15 18 17 18 18 18 20 18 22 18 24 18 27

19 18 02 18 02 18 02 18 03 18 03 18 04 18 05 18 05 18 06 18 07 18 08 18 09 18 10 18 12

23 17 55 17 55 17 55 17 55 17 55 17 55 17 55 17 55 17 55 17 55 17 56 17 56 17 56 17 56

27 17 48 17 48 17 48 17 47 17 47 17 46 17 46 17 45 17 45 17 44 17 43 17 43 17 42 17 41

Oct. 1 17 42 17 41 17 40 17 39 17 39 17 38 17 37 17 35 17 34 17 33 17 31 17 30 17 28 17 26

5 17 35 17 34 17 33 17 32 17 30 17 29 17 27 17 26 17 24 17 22 17 19 17 17 17 14 17 10

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
30 SUNRISE AND SUNSET, 2020

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 24 5 28 5 31 5 34 5 36 5 38 5 41 5 44 5 46 5 49 5 51 5 54 5 55 5 57

5 5 14 5 20 5 24 5 27 5 30 5 33 5 38 5 41 5 45 5 48 5 52 5 56 5 58 6 01

9 5 04 5 11 5 17 5 21 5 25 5 28 5 34 5 39 5 44 5 48 5 53 5 58 6 01 6 05

13 4 54 5 03 5 09 5 15 5 20 5 24 5 31 5 37 5 43 5 48 5 54 6 01 6 05 6 09

17 4 44 4 54 5 02 5 09 5 14 5 19 5 28 5 35 5 42 5 49 5 56 6 03 6 08 6 13

21 4 35 4 46 4 55 5 03 5 10 5 15 5 25 5 33 5 41 5 49 5 57 6 06 6 11 6 17

25 4 26 4 39 4 49 4 58 5 05 5 11 5 22 5 32 5 41 5 49 5 59 6 09 6 15 6 22

29 4 17 4 31 4 43 4 52 5 00 5 08 5 20 5 30 5 40 5 50 6 00 6 12 6 19 6 26

Nov. 2 4 08 4 24 4 37 4 47 4 56 5 04 5 18 5 29 5 40 5 51 6 02 6 15 6 22 6 31

6 4 00 4 17 4 31 4 43 4 53 5 01 5 16 5 28 5 40 5 52 6 04 6 18 6 26 6 35

10 3 52 4 11 4 26 4 39 4 49 4 58 5 14 5 28 5 40 5 53 6 06 6 21 6 30 6 40

14 3 45 4 05 4 22 4 35 4 46 4 56 5 13 5 27 5 41 5 54 6 08 6 24 6 34 6 44

18 3 38 4 00 4 18 4 32 4 44 4 54 5 12 5 27 5 42 5 56 6 11 6 28 6 38 6 49

22 3 32 3 56 4 14 4 29 4 42 4 53 5 12 5 28 5 43 5 57 6 13 6 31 6 42 6 53

26 3 27 3 52 4 11 4 27 4 40 4 52 5 11 5 28 5 44 5 59 6 16 6 34 6 45 6 58

30 3 22 3 49 4 09 4 26 4 39 4 51 5 12 5 29 5 45 6 01 6 18 6 38 6 49 7 02

Dec. 4 3 19 3 47 4 08 4 25 4 39 4 51 5 12 5 30 5 47 6 03 6 21 6 41 6 52 7 06

8 3 17 3 45 4 07 4 24 4 39 4 52 5 13 5 31 5 48 6 05 6 23 6 44 6 56 7 09

12 3 16 3 45 4 07 4 25 4 40 4 52 5 14 5 33 5 50 6 07 6 26 6 47 6 59 7 13

16 3 15 3 45 4 08 4 26 4 41 4 54 5 16 5 35 5 52 6 09 6 28 6 49 7 01 7 16

20 3 16 3 47 4 09 4 27 4 42 4 55 5 17 5 36 5 54 6 12 6 30 6 51 7 04 7 18

24 3 19 3 49 4 11 4 29 4 44 4 57 5 19 5 38 5 56 6 13 6 32 6 53 7 06 7 20

28 3 22 3 52 4 14 4 32 4 47 5 00 5 22 5 41 5 58 6 15 6 34 6 55 7 07 7 21

32 3 26 3 55 4 17 4 35 4 50 5 03 5 24 5 43 6 00 6 17 6 35 6 56 7 08 7 22

36 3 32 4 00 4 21 4 39 4 53 5 05 5 27 5 45 6 02 6 19 6 36 6 57 7 09 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 16 18 12 18 08 18 06 18 04 18 02 17 58 17 55 17 53 17 50 17 48 17 45 17 43 17 42

5 18 23 18 18 18 13 18 10 18 07 18 04 17 59 17 55 17 52 17 48 17 44 17 40 17 38 17 35

9 18 31 18 24 18 19 18 14 18 10 18 06 18 00 17 55 17 50 17 46 17 41 17 36 17 32 17 29

13 18 39 18 31 18 24 18 18 18 13 18 09 18 02 17 55 17 49 17 44 17 38 17 31 17 27 17 23

17 18 47 18 37 18 29 18 22 18 17 18 12 18 03 17 55 17 49 17 42 17 35 17 27 17 22 17 17

21 18 56 18 44 18 34 18 27 18 20 18 14 18 04 17 56 17 48 17 40 17 32 17 23 17 17 17 11

25 19 04 18 51 18 40 18 31 18 24 18 17 18 06 17 56 17 47 17 39 17 29 17 19 17 13 17 06

29 19 12 18 57 18 45 18 36 18 27 18 20 18 08 17 57 17 47 17 37 17 27 17 15 17 08 17 01

Nov. 2 19 21 19 04 18 51 18 40 18 31 18 23 18 10 17 58 17 47 17 36 17 25 17 12 17 04 16 56

6 19 29 19 11 18 57 18 45 18 35 18 27 18 12 17 59 17 47 17 35 17 23 17 09 17 01 16 52

10 19 37 19 18 19 02 18 50 18 39 18 30 18 14 18 00 17 47 17 35 17 22 17 06 16 58 16 48

14 19 46 19 24 19 08 18 54 18 43 18 33 18 16 18 02 17 48 17 35 17 20 17 04 16 55 16 44

18 19 54 19 31 19 13 18 59 18 47 18 37 18 19 18 03 17 49 17 35 17 20 17 02 16 53 16 41

22 20 02 19 37 19 19 19 04 18 51 18 40 18 21 18 05 17 50 17 35 17 19 17 01 16 51 16 39

26 20 09 19 44 19 24 19 08 18 55 18 43 18 24 18 07 17 51 17 36 17 19 17 00 16 49 16 37

30 20 16 19 49 19 29 19 12 18 59 18 47 18 26 18 09 17 52 17 36 17 19 17 00 16 48 16 35

Dec. 4 20 22 19 54 19 33 19 16 19 02 18 50 18 29 18 11 17 54 17 37 17 20 17 00 16 48 16 35

8 20 28 19 59 19 37 19 20 19 05 18 53 18 31 18 13 17 56 17 39 17 21 17 00 16 48 16 35

12 20 33 20 03 19 41 19 23 19 08 18 56 18 34 18 15 17 58 17 40 17 22 17 01 16 49 16 35

16 20 36 20 07 19 44 19 26 19 11 18 58 18 36 18 17 18 00 17 42 17 24 17 03 16 50 16 36

20 20 39 20 09 19 46 19 28 19 13 19 00 18 38 18 19 18 02 17 44 17 26 17 04 16 52 16 38

24 20 41 20 11 19 48 19 30 19 15 19 02 18 40 18 21 18 04 17 46 17 28 17 06 16 54 16 40

28 20 41 20 12 19 49 19 31 19 17 19 04 18 42 18 23 18 06 17 48 17 30 17 09 16 57 16 42

32 20 40 20 11 19 50 19 32 19 17 19 05 18 43 18 25 18 07 17 50 17 32 17 12 16 59 16 46

36 20 39 20 11 19 49 19 32 19 18 19 05 18 44 18 26 18 09 17 53 17 35 17 14 17 03 16 49

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
SUNRISE AND SUNSET, 2020 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 57 5 57 5 58 5 59 6 00 6 01 6 01 6 03 6 04 6 05 6 06 6 08 6 10 6 12

5 6 01 6 02 6 03 6 04 6 05 6 07 6 08 6 10 6 12 6 14 6 16 6 18 6 21 6 25

9 6 05 6 06 6 08 6 09 6 11 6 13 6 15 6 17 6 20 6 22 6 26 6 29 6 33 6 38

13 6 09 6 11 6 12 6 15 6 17 6 19 6 22 6 25 6 28 6 31 6 35 6 40 6 45 6 51

17 6 13 6 15 6 17 6 20 6 23 6 26 6 29 6 32 6 36 6 40 6 45 6 51 6 57 7 04

21 6 17 6 20 6 23 6 26 6 29 6 32 6 36 6 40 6 45 6 50 6 55 7 02 7 09 7 18

25 6 22 6 25 6 28 6 31 6 35 6 39 6 43 6 48 6 53 6 59 7 05 7 13 7 21 7 32

29 6 26 6 29 6 33 6 37 6 41 6 45 6 50 6 55 7 01 7 08 7 16 7 24 7 34 7 46

Nov. 2 6 31 6 34 6 38 6 42 6 47 6 52 6 57 7 03 7 10 7 17 7 26 7 35 7 47 8 00

6 6 35 6 39 6 43 6 48 6 53 6 59 7 05 7 11 7 18 7 27 7 36 7 47 8 00 8 15

10 6 40 6 44 6 49 6 54 6 59 7 05 7 12 7 19 7 27 7 36 7 46 7 58 8 13 8 30

14 6 44 6 49 6 54 6 59 7 05 7 12 7 19 7 27 7 35 7 45 7 56 8 10 8 25 8 45

18 6 49 6 54 6 59 7 05 7 11 7 18 7 26 7 34 7 43 7 54 8 06 8 21 8 38 9 00

22 6 53 6 59 7 04 7 10 7 17 7 24 7 32 7 41 7 51 8 03 8 16 8 32 8 51 9 15

26 6 58 7 03 7 09 7 16 7 23 7 30 7 39 7 48 7 59 8 11 8 25 8 42 9 03 9 30

30 7 02 7 08 7 14 7 21 7 28 7 36 7 45 7 55 8 06 8 19 8 34 8 52 9 14 9 45

Dec. 4 7 06 7 12 7 18 7 25 7 33 7 41 7 50 8 00 8 12 8 26 8 41 9 01 9 25 9 59

8 7 09 7 16 7 22 7 29 7 37 7 46 7 55 8 06 8 18 8 32 8 48 9 08 9 34 10 11

12 7 13 7 19 7 26 7 33 7 41 7 50 7 59 8 10 8 23 8 37 8 54 9 15 9 42 10 22

16 7 16 7 22 7 29 7 36 7 44 7 53 8 03 8 14 8 26 8 41 8 59 9 20 9 48 10 30

20 7 18 7 24 7 31 7 39 7 47 7 56 8 05 8 17 8 29 8 44 9 02 9 23 9 52 10 34

24 7 20 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 42 7 50 7 58 8 08 8 19 8 32 8 46 9 03 9 25 9 52 10 33

32 7 22 7 28 7 35 7 42 7 50 7 58 8 08 8 19 8 31 8 45 9 02 9 23 9 49 10 27

36 7 22 7 28 7 35 7 42 7 49 7 58 8 07 8 18 8 29 8 43 8 59 9 19 9 44 10 19

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 42 17 41 17 40 17 39 17 39 17 38 17 37 17 35 17 34 17 33 17 31 17 30 17 28 17 26

5 17 35 17 34 17 33 17 32 17 30 17 29 17 27 17 26 17 24 17 22 17 19 17 17 17 14 17 10

9 17 29 17 28 17 26 17 24 17 22 17 20 17 18 17 16 17 13 17 11 17 07 17 04 17 00 16 55

13 17 23 17 21 17 19 17 17 17 15 17 12 17 09 17 07 17 03 17 00 16 56 16 51 16 46 16 40

17 17 17 17 15 17 12 17 10 17 07 17 04 17 01 16 57 16 53 16 49 16 44 16 39 16 32 16 25

21 17 11 17 09 17 06 17 03 17 00 16 56 16 52 16 48 16 44 16 39 16 33 16 26 16 19 16 10

25 17 06 17 03 17 00 16 56 16 53 16 49 16 44 16 40 16 34 16 28 16 22 16 14 16 05 15 55

29 17 01 16 57 16 54 16 50 16 46 16 41 16 36 16 31 16 25 16 18 16 11 16 02 15 52 15 40

Nov. 2 16 56 16 52 16 48 16 44 16 39 16 35 16 29 16 23 16 16 16 09 16 00 15 51 15 39 15 26

6 16 52 16 48 16 43 16 39 16 34 16 28 16 22 16 15 16 08 16 00 15 50 15 39 15 27 15 11

10 16 48 16 43 16 39 16 34 16 28 16 22 16 16 16 08 16 00 15 51 15 41 15 29 15 14 14 57

14 16 44 16 39 16 34 16 29 16 23 16 17 16 10 16 02 15 53 15 43 15 32 15 19 15 03 14 43

18 16 41 16 36 16 31 16 25 16 19 16 12 16 04 15 56 15 46 15 36 15 23 15 09 14 51 14 30

22 16 39 16 33 16 28 16 22 16 15 16 08 16 00 15 51 15 41 15 29 15 16 15 00 14 41 14 16

26 16 37 16 31 16 25 16 19 16 12 16 04 15 56 15 46 15 36 15 23 15 09 14 52 14 31 14 04

30 16 35 16 30 16 23 16 17 16 09 16 01 15 53 15 43 15 31 15 19 15 03 14 45 14 23 13 52

Dec. 4 16 35 16 29 16 22 16 15 16 08 15 59 15 50 15 40 15 28 15 15 14 59 14 40 14 15 13 42

8 16 35 16 28 16 22 16 15 16 07 15 58 15 49 15 38 15 26 15 12 14 56 14 35 14 09 13 33

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 05 13 26

16 16 36 16 30 16 23 16 16 16 07 15 59 15 49 15 38 15 25 15 10 14 53 14 32 14 04 13 22

20 16 38 16 31 16 24 16 17 16 09 16 00 15 50 15 39 15 26 15 12 14 54 14 32 14 04 13 21

24 16 40 16 33 16 27 16 19 16 11 16 02 15 52 15 41 15 29 15 14 14 56 14 35 14 07 13 24

28 16 42 16 36 16 29 16 22 16 14 16 05 15 56 15 45 15 32 15 18 15 00 14 39 14 11 13 31

32 16 46 16 39 16 33 16 26 16 18 16 09 15 59 15 49 15 36 15 22 15 05 14 45 14 18 13 40

36 16 49 16 43 16 37 16 30 16 22 16 13 16 04 15 54 15 42 15 28 15 12 14 52 14 27 13 52

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
32 MOONRISE AND MOONSET, 2020

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 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

1 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

2 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

3 12 26 12 24 12 23 12 22 12 21 12 21 12 19 12 18 12 17 12 16 12 15 12 14 12 13 12 12

4 13 36 13 30 13 25 13 20 13 17 13 13 13 08 13 03 12 58 12 54 12 49 12 44 12 41 12 37

5 14 49 14 37 14 28 14 20 14 14 14 08 13 58 13 50 13 42 13 34 13 25 13 16 13 10 13 04

6 16 03 15 46 15 33 15 22 15 13 15 05 14 51 14 39 14 27 14 16 14 04 13 51 13 43 13 34

7 17 19 16 57 16 40 16 26 16 14 16 04 15 46 15 31 15 17 15 02 14 47 14 30 14 20 14 09

8 18 34 18 08 17 47 17 31 17 17 17 05 16 44 16 26 16 10 15 53 15 36 15 16 15 04 14 50

9 19 43 19 14 18 52 18 34 18 19 18 06 17 44 17 24 17 07 16 49 16 30 16 08 15 55 15 40

10 20 42 20 13 19 51 19 33 19 18 19 05 18 43 18 24 18 06 17 48 17 29 17 07 16 54 16 39

11 21 27 21 01 20 41 20 25 20 12 20 00 19 40 19 22 19 06 18 49 18 31 18 11 17 59 17 45

12 22 00 21 40 21 24 21 11 21 00 20 50 20 33 20 18 20 04 19 50 19 35 19 18 19 08 18 56

13 22 26 22 11 22 00 21 50 21 42 21 34 21 22 21 11 21 00 20 50 20 38 20 26 20 18 20 10

14 22 46 22 37 22 30 22 25 22 19 22 15 22 07 22 00 21 54 21 47 21 40 21 32 21 28 21 22

15 23 04 23 01 22 58 22 56 22 54 22 53 22 50 22 47 22 45 22 43 22 40 22 38 22 36 22 34

16 23 20 23 23 23 25 23 26 23 28 23 29 23 31 23 33 23 35 23 37 23 39 23 42 23 43 23 45

17 23 37 23 45 23 51 23 57 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

18 23 56 . . . . . . . . . . . . 0 01 0 05 0 12 0 19 0 25 0 31 0 37 0 45 0 49 0 54

19 . . . . 0 09 0 20 0 29 0 36 0 43 0 55 1 05 1 15 1 25 1 36 1 48 1 55 2 03

20 0 19 0 37 0 52 1 04 1 15 1 24 1 40 1 54 2 07 2 20 2 34 2 51 3 00 3 11

21 0 47 1 11 1 29 1 44 1 57 2 08 2 27 2 44 3 00 3 16 3 33 3 52 4 04 4 17

22 1 24 1 52 2 13 2 30 2 44 2 57 3 18 3 37 3 54 4 12 4 30 4 52 5 05 5 20

23 2 12 2 41 3 03 3 21 3 36 3 49 4 11 4 30 4 48 5 06 5 26 5 48 6 01 6 16

24 3 11 3 39 4 00 4 17 4 32 4 44 5 06 5 24 5 42 5 59 6 18 6 39 6 51 7 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

Jan. 0 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

1 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

2 . . . . . . . . . . . . 23 59 23 58 23 58 23 57 23 57 23 56 23 55 23 54 23 53 23 53 23 52

3 0 01 0 00 0 00 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

4 0 14 0 18 0 21 0 23 0 26 0 28 0 31 0 34 0 37 0 40 0 43 0 46 0 48 0 50

5 0 28 0 37 0 43 0 49 0 54 0 58 1 06 1 13 1 19 1 25 1 32 1 40 1 44 1 49

6 0 45 0 58 1 08 1 17 1 25 1 32 1 43 1 54 2 03 2 13 2 23 2 35 2 42 2 50

7 1 05 1 23 1 37 1 49 2 00 2 09 2 24 2 38 2 51 3 03 3 17 3 33 3 42 3 53

8 1 31 1 54 2 12 2 27 2 40 2 51 3 10 3 26 3 42 3 57 4 14 4 33 4 44 4 57

9 2 07 2 34 2 55 3 12 3 27 3 39 4 01 4 19 4 37 4 54 5 13 5 34 5 47 6 01

10 2 57 3 26 3 49 4 07 4 22 4 35 4 57 5 17 5 35 5 53 6 12 6 34 6 47 7 02

11 4 02 4 30 4 52 5 09 5 24 5 37 5 58 6 17 6 34 6 52 7 10 7 31 7 44 7 58

12 5 20 5 44 6 03 6 18 6 31 6 42 7 02 7 18 7 34 7 49 8 05 8 24 8 35 8 47

13 6 45 7 04 7 19 7 31 7 41 7 50 8 05 8 19 8 31 8 43 8 56 9 11 9 20 9 29

14 8 14 8 26 8 36 8 44 8 51 8 58 9 08 9 17 9 26 9 34 9 43 9 54 9 59 10 06

15 9 41 9 47 9 52 9 57 10 00 10 04 10 09 10 14 10 18 10 23 10 27 10 33 10 35 10 39

16 11 07 11 07 11 08 11 08 11 08 11 08 11 08 11 09 11 09 11 09 11 09 11 09 11 09 11 10

17 12 31 12 26 12 22 12 18 12 15 12 12 12 07 12 03 11 59 11 55 11 50 11 46 11 43 11 40

18 13 55 13 44 13 35 13 27 13 21 13 15 13 05 12 57 12 49 12 41 12 32 12 23 12 17 12 11

19 15 18 15 00 14 47 14 36 14 26 14 18 14 04 13 51 13 40 13 28 13 16 13 02 12 54 12 44

20 16 37 16 15 15 57 15 43 15 31 15 20 15 02 14 47 14 32 14 17 14 02 13 44 13 34 13 22

21 17 51 17 24 17 04 16 47 16 33 16 21 16 01 15 43 15 26 15 09 14 51 14 30 14 18 14 05

22 18 56 18 27 18 05 17 47 17 32 17 19 16 57 16 38 16 20 16 02 15 43 15 21 15 08 14 53

23 19 48 19 20 18 58 18 40 18 26 18 13 17 51 17 32 17 14 16 56 16 37 16 15 16 02 15 47

24 20 28 20 02 19 43 19 27 19 13 19 01 18 41 18 23 18 07 17 50 17 32 17 11 16 59 16 45

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 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

1 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

2 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

3 12 12 12 12 12 11 12 11 12 11 12 10 12 10 12 09 12 09 12 08 12 07 12 06 12 06 12 04

4 12 37 12 36 12 34 12 32 12 30 12 28 12 26 12 24 12 21 12 18 12 15 12 11 12 07 12 02

5 13 04 13 01 12 58 12 55 12 52 12 48 12 44 12 40 12 35 12 30 12 24 12 17 12 09 12 00

6 13 34 13 30 13 26 13 21 13 16 13 11 13 05 12 59 12 52 12 44 12 35 12 25 12 13 11 59

7 14 09 14 04 13 58 13 53 13 46 13 39 13 32 13 23 13 14 13 03 12 51 12 37 12 20 11 59

8 14 50 14 44 14 38 14 31 14 23 14 15 14 06 13 56 13 44 13 31 13 15 12 56 12 33 12 02

9 15 40 15 34 15 26 15 19 15 10 15 01 14 51 14 39 14 26 14 10 13 52 13 30 13 00 12 15

10 16 39 16 32 16 25 16 17 16 08 15 59 15 49 15 37 15 23 15 07 14 48 14 25 13 53 13 03

11 17 45 17 39 17 32 17 25 17 17 17 09 16 59 16 48 16 36 16 22 16 05 15 44 15 18 14 41

12 18 56 18 51 18 46 18 40 18 33 18 26 18 18 18 10 18 00 17 48 17 35 17 20 17 01 16 37

13 20 10 20 06 20 02 19 57 19 53 19 47 19 42 19 35 19 28 19 21 19 12 19 01 18 49 18 34

14 21 22 21 20 21 18 21 15 21 12 21 09 21 06 21 02 20 58 20 53 20 48 20 42 20 35 20 27

15 22 34 22 33 22 33 22 32 22 31 22 30 22 28 22 27 22 26 22 24 22 22 22 20 22 18 22 16

16 23 45 23 45 23 46 23 47 23 48 23 49 23 50 23 51 23 52 23 54 23 55 23 57 23 59 . . . .

17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 02

18 0 54 0 56 0 59 1 01 1 04 1 07 1 10 1 14 1 18 1 22 1 27 1 33 1 39 1 47

19 2 03 2 07 2 11 2 15 2 19 2 24 2 30 2 36 2 42 2 50 2 58 3 08 3 20 3 34

20 3 11 3 16 3 21 3 27 3 33 3 40 3 47 3 56 4 05 4 16 4 28 4 42 5 00 5 22

21 4 17 4 23 4 30 4 36 4 44 4 52 5 02 5 12 5 24 5 37 5 53 6 13 6 37 7 11

22 5 20 5 26 5 33 5 41 5 49 5 59 6 09 6 21 6 34 6 50 7 09 7 32 8 03 8 53

23 6 16 6 23 6 30 6 38 6 47 6 56 7 07 7 19 7 33 7 49 8 08 8 33 9 05 10 00

24 7 06 7 12 7 19 7 27 7 35 7 44 7 54 8 05 8 18 8 33 8 50 9 12 9 40 10 20

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 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

1 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

2 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

3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

4 0 50 0 51 0 52 0 53 0 54 0 56 0 57 0 59 1 01 1 02 1 05 1 07 1 10 1 13

5 1 49 1 51 1 54 1 56 1 59 2 02 2 05 2 09 2 13 2 17 2 22 2 28 2 35 2 42

6 2 50 2 53 2 57 3 01 3 05 3 10 3 15 3 21 3 27 3 34 3 43 3 52 4 03 4 16

7 3 53 3 57 4 02 4 08 4 14 4 20 4 27 4 35 4 44 4 54 5 05 5 19 5 35 5 56

8 4 57 5 03 5 09 5 15 5 23 5 31 5 40 5 50 6 01 6 14 6 29 6 47 7 10 7 40

9 6 01 6 07 6 14 6 22 6 30 6 39 6 50 7 01 7 14 7 29 7 47 8 10 8 39 9 24

10 7 02 7 09 7 16 7 24 7 33 7 42 7 53 8 05 8 18 8 34 8 53 9 17 9 48 10 39

11 7 58 8 05 8 11 8 19 8 27 8 36 8 46 8 57 9 09 9 24 9 41 10 02 10 28 11 06

12 8 47 8 53 8 59 9 05 9 12 9 19 9 28 9 37 9 47 9 59 10 13 10 29 10 48 11 13

13 9 29 9 34 9 38 9 43 9 48 9 54 10 00 10 07 10 15 10 24 10 34 10 45 10 58 11 14

14 10 06 10 09 10 12 10 15 10 19 10 23 10 27 10 32 10 37 10 42 10 49 10 56 11 04 11 14

15 10 39 10 40 10 42 10 44 10 45 10 47 10 49 10 52 10 54 10 57 11 00 11 04 11 07 11 12

16 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10

17 11 40 11 38 11 37 11 35 11 33 11 32 11 30 11 28 11 25 11 22 11 20 11 16 11 12 11 08

18 12 11 12 08 12 05 12 02 11 58 11 55 11 51 11 46 11 42 11 36 11 30 11 23 11 15 11 06

19 12 44 12 40 12 36 12 31 12 26 12 21 12 15 12 08 12 01 11 52 11 43 11 32 11 20 11 05

20 13 22 13 17 13 11 13 05 12 58 12 51 12 43 12 34 12 25 12 13 12 00 11 45 11 27 11 04

21 14 05 13 58 13 52 13 45 13 37 13 28 13 19 13 08 12 56 12 42 12 26 12 06 11 41 11 06

22 14 53 14 46 14 39 14 31 14 23 14 13 14 03 13 51 13 37 13 22 13 03 12 39 12 08 11 18

23 15 47 15 40 15 33 15 25 15 17 15 07 14 57 14 45 14 31 14 15 13 55 13 31 12 59 12 04

24 16 45 16 39 16 32 16 25 16 17 16 08 15 58 15 47 15 35 15 20 15 03 14 41 14 14 13 34

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
34 MOONRISE AND MOONSET, 2020

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 2 12 2 41 3 03 3 21 3 36 3 49 4 11 4 30 4 48 5 06 5 26 5 48 6 01 6 16

24 3 11 3 39 4 00 4 17 4 32 4 44 5 06 5 24 5 42 5 59 6 18 6 39 6 51 7 06

25 4 17 4 42 5 01 5 16 5 29 5 41 6 00 6 17 6 33 6 48 7 05 7 24 7 36 7 48

26 5 28 5 48 6 04 6 17 6 28 6 37 6 54 7 08 7 21 7 35 7 49 8 05 8 14 8 25

27 6 40 6 55 7 07 7 17 7 25 7 33 7 45 7 57 8 07 8 17 8 28 8 41 8 48 8 56

28 7 51 8 01 8 09 8 16 8 22 8 27 8 36 8 43 8 50 8 57 9 05 9 14 9 19 9 24

29 9 01 9 06 9 10 9 14 9 17 9 20 9 24 9 28 9 32 9 36 9 40 9 44 9 47 9 50

30 10 10 10 11 10 11 10 11 10 12 10 12 10 12 10 12 10 13 10 13 10 13 10 14 10 14 10 14

31 11 20 11 15 11 12 11 09 11 06 11 04 11 00 10 57 10 53 10 50 10 47 10 43 10 41 10 38

Feb. 1 12 30 12 21 12 13 12 07 12 02 11 57 11 49 11 42 11 35 11 28 11 21 11 14 11 09 11 04

2 13 43 13 28 13 16 13 07 12 59 12 52 12 39 12 29 12 19 12 09 11 58 11 46 11 40 11 32

3 14 56 14 37 14 21 14 08 13 58 13 48 13 32 13 18 13 05 12 52 12 39 12 23 12 14 12 04

4 16 11 15 46 15 27 15 11 14 58 14 47 14 28 14 11 13 55 13 40 13 23 13 04 12 53 12 41

5 17 22 16 54 16 32 16 15 16 00 15 47 15 26 15 07 14 49 14 32 14 14 13 52 13 40 13 26

6 18 25 17 56 17 33 17 15 17 00 16 47 16 25 16 05 15 47 15 29 15 10 14 47 14 34 14 19

7 19 17 18 50 18 28 18 11 17 57 17 44 17 23 17 04 16 47 16 29 16 11 15 49 15 36 15 22

8 19 56 19 33 19 16 19 01 18 48 18 37 18 19 18 02 17 47 17 31 17 15 16 56 16 45 16 32

9 20 26 20 09 19 55 19 44 19 34 19 26 19 11 18 58 18 46 18 33 18 20 18 05 17 57 17 46

10 20 49 20 38 20 29 20 21 20 15 20 09 19 59 19 50 19 42 19 34 19 25 19 15 19 09 19 02

11 21 08 21 03 20 59 20 55 20 52 20 49 20 45 20 40 20 36 20 32 20 28 20 23 20 21 20 17

12 21 26 21 26 21 26 21 27 21 27 21 27 21 28 21 28 21 29 21 29 21 30 21 30 21 31 21 31

13 21 43 21 49 21 54 21 58 22 02 22 05 22 10 22 15 22 20 22 25 22 30 22 36 22 40 22 43

14 22 01 22 13 22 22 22 30 22 37 22 43 22 54 23 03 23 12 23 20 23 30 23 41 23 47 23 54

15 22 23 22 40 22 54 23 05 23 15 23 23 23 38 23 51 . . . . . . . . . . . . . . . . . . . . . . . .

16 22 49 23 12 23 29 23 44 23 56 . . . . . . . . . . . . 0 04 0 16 0 29 0 45 0 54 1 04

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 19 48 19 20 18 58 18 40 18 26 18 13 17 51 17 32 17 14 16 56 16 37 16 15 16 02 15 47

24 20 28 20 02 19 43 19 27 19 13 19 01 18 41 18 23 18 07 17 50 17 32 17 11 16 59 16 45

25 20 58 20 37 20 20 20 06 19 54 19 44 19 27 19 11 18 56 18 42 18 26 18 08 17 57 17 45

26 21 21 21 04 20 51 20 40 20 31 20 22 20 08 19 55 19 44 19 32 19 19 19 04 18 56 18 46

27 21 39 21 27 21 18 21 10 21 03 20 57 20 46 20 37 20 28 20 19 20 10 19 59 19 53 19 46

28 21 54 21 47 21 41 21 36 21 32 21 28 21 22 21 16 21 11 21 05 20 59 20 52 20 49 20 44

29 22 07 22 05 22 03 22 01 22 00 21 58 21 56 21 54 21 52 21 50 21 47 21 45 21 43 21 42

30 22 20 22 22 22 24 22 25 22 26 22 27 22 29 22 31 22 32 22 34 22 35 22 37 22 38 22 39

31 22 34 22 40 22 46 22 50 22 54 22 57 23 03 23 08 23 13 23 18 23 23 23 29 23 33 23 37

Feb. 1 22 49 23 00 23 09 23 16 23 23 23 29 23 39 23 47 23 56 . . . . . . . . . . . . . . . . . . . .

2 23 06 23 22 23 35 23 46 23 55 . . . . . . . . . . . . . . . . 0 04 0 13 0 23 0 29 0 36

3 23 29 23 50 . . . . . . . . . . . . 0 03 0 17 0 29 0 41 0 52 1 04 1 19 1 27 1 36

4 23 59 . . . . 0 06 0 20 0 32 0 42 0 59 1 14 1 29 1 43 1 59 2 16 2 27 2 38

5 . . . . 0 25 0 45 1 01 1 14 1 26 1 46 2 04 2 21 2 37 2 55 3 16 3 28 3 42

6 0 41 1 10 1 32 1 50 2 04 2 17 2 40 2 59 3 17 3 35 3 54 4 16 4 29 4 44

7 1 38 2 07 2 30 2 48 3 03 3 16 3 38 3 57 4 15 4 33 4 52 5 14 5 27 5 42

8 2 50 3 17 3 38 3 54 4 08 4 20 4 41 4 59 5 15 5 32 5 50 6 10 6 21 6 35

9 4 15 4 36 4 53 5 07 5 19 5 29 5 46 6 01 6 15 6 29 6 44 7 00 7 10 7 21

10 5 45 6 00 6 12 6 22 6 31 6 38 6 51 7 02 7 13 7 23 7 34 7 46 7 53 8 01

11 7 16 7 25 7 32 7 38 7 43 7 48 7 55 8 02 8 08 8 14 8 21 8 28 8 32 8 37

12 8 46 8 49 8 51 8 53 8 54 8 55 8 58 9 00 9 01 9 03 9 05 9 07 9 08 9 09

13 10 15 10 11 10 08 10 06 10 04 10 02 9 59 9 56 9 53 9 51 9 48 9 45 9 43 9 41

14 11 41 11 32 11 24 11 17 11 12 11 07 10 59 10 51 10 45 10 38 10 30 10 22 10 18 10 12

15 13 06 12 50 12 38 12 28 12 19 12 11 11 58 11 47 11 36 11 26 11 14 11 01 10 54 10 46

16 14 27 14 06 13 50 13 36 13 25 13 15 12 58 12 43 12 29 12 15 12 00 11 43 11 33 11 22

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 6 16 6 23 6 30 6 38 6 47 6 56 7 07 7 19 7 33 7 49 8 08 8 33 9 05 10 00

24 7 06 7 12 7 19 7 27 7 35 7 44 7 54 8 05 8 18 8 33 8 50 9 12 9 40 10 20

25 7 48 7 54 8 00 8 07 8 14 8 22 8 31 8 40 8 51 9 04 9 18 9 36 9 57 10 25

26 8 25 8 30 8 35 8 40 8 46 8 52 9 00 9 07 9 16 9 26 9 37 9 50 10 06 10 25

27 8 56 9 00 9 04 9 08 9 12 9 17 9 23 9 29 9 35 9 42 9 50 10 00 10 11 10 24

28 9 24 9 27 9 29 9 32 9 35 9 38 9 42 9 46 9 50 9 55 10 00 10 06 10 13 10 22

29 9 50 9 51 9 52 9 54 9 55 9 57 9 59 10 01 10 03 10 06 10 08 10 12 10 15 10 19

30 10 14 10 14 10 14 10 14 10 15 10 15 10 15 10 15 10 15 10 16 10 16 10 16 10 16 10 17

31 10 38 10 37 10 36 10 35 10 34 10 32 10 31 10 29 10 27 10 25 10 23 10 21 10 18 10 14

Feb. 1 11 04 11 02 10 59 10 57 10 54 10 51 10 48 10 44 10 40 10 36 10 31 10 26 10 19 10 12

2 11 32 11 28 11 25 11 21 11 17 11 12 11 07 11 02 10 55 10 49 10 41 10 32 10 22 10 10

3 12 04 11 59 11 54 11 49 11 43 11 37 11 30 11 23 11 14 11 05 10 54 10 42 10 27 10 09

4 12 41 12 35 12 29 12 23 12 16 12 08 12 00 11 50 11 39 11 27 11 13 10 57 10 36 10 10

5 13 26 13 19 13 12 13 05 12 57 12 48 12 38 12 27 12 14 12 00 11 43 11 22 10 55 10 16

6 14 19 14 12 14 05 13 57 13 49 13 39 13 29 13 17 13 03 12 47 12 28 12 04 11 33 10 42

7 15 22 15 15 15 08 15 01 14 52 14 43 14 33 14 22 14 08 13 53 13 35 13 12 12 43 11 57

8 16 32 16 26 16 20 16 14 16 06 15 58 15 50 15 40 15 29 15 16 15 01 14 43 14 20 13 50

9 17 46 17 42 17 37 17 32 17 26 17 20 17 14 17 06 16 58 16 48 16 37 16 25 16 10 15 51

10 19 02 18 59 18 56 18 53 18 49 18 45 18 41 18 36 18 30 18 24 18 18 18 10 18 01 17 50

11 20 17 20 16 20 15 20 13 20 11 20 09 20 07 20 05 20 03 20 00 19 57 19 53 19 49 19 45

12 21 31 21 31 21 32 21 32 21 32 21 32 21 33 21 33 21 33 21 34 21 34 21 35 21 35 21 36

13 22 43 22 45 22 47 22 49 22 51 22 54 22 56 22 59 23 02 23 06 23 10 23 14 23 19 23 25

14 23 54 23 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

15 . . . . . . . . 0 01 0 05 0 09 0 13 0 18 0 23 0 29 0 36 0 43 0 52 1 02 1 14

16 1 04 1 08 1 13 1 19 1 24 1 31 1 38 1 45 1 54 2 04 2 15 2 28 2 44 3 04

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 15 47 15 40 15 33 15 25 15 17 15 07 14 57 14 45 14 31 14 15 13 55 13 31 12 59 12 04

24 16 45 16 39 16 32 16 25 16 17 16 08 15 58 15 47 15 35 15 20 15 03 14 41 14 14 13 34

25 17 45 17 40 17 34 17 28 17 21 17 13 17 05 16 56 16 45 16 33 16 19 16 02 15 41 15 14

26 18 46 18 41 18 37 18 32 18 26 18 20 18 14 18 06 17 58 17 49 17 38 17 26 17 11 16 53

27 19 46 19 42 19 39 19 35 19 31 19 27 19 22 19 17 19 11 19 05 18 57 18 49 18 39 18 27

28 20 44 20 42 20 40 20 38 20 35 20 33 20 30 20 27 20 23 20 19 20 15 20 10 20 04 19 57

29 21 42 21 41 21 40 21 39 21 38 21 37 21 36 21 35 21 34 21 32 21 31 21 29 21 27 21 24

30 22 39 22 39 22 40 22 41 22 41 22 42 22 43 22 43 22 44 22 45 22 46 22 48 22 49 22 51

31 23 37 23 38 23 40 23 42 23 44 23 47 23 49 23 52 23 55 23 59 . . . . . . . . . . . . . . . .

Feb. 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 02 0 07 0 12 0 18

2 0 36 0 39 0 42 0 45 0 49 0 53 0 57 1 02 1 07 1 13 1 20 1 28 1 37 1 48

3 1 36 1 40 1 45 1 50 1 55 2 01 2 07 2 14 2 22 2 30 2 40 2 52 3 06 3 23

4 2 38 2 44 2 49 2 56 3 02 3 10 3 18 3 27 3 37 3 49 4 02 4 18 4 38 5 03

5 3 42 3 48 3 54 4 02 4 10 4 18 4 28 4 39 4 51 5 05 5 22 5 43 6 09 6 47

6 4 44 4 50 4 58 5 05 5 14 5 23 5 34 5 46 5 59 6 15 6 34 6 58 7 30 8 20

7 5 42 5 49 5 56 6 04 6 12 6 21 6 32 6 43 6 57 7 12 7 31 7 54 8 23 9 09

8 6 35 6 41 6 47 6 54 7 02 7 10 7 19 7 30 7 41 7 54 8 10 8 29 8 52 9 22

9 7 21 7 26 7 31 7 37 7 43 7 50 7 57 8 05 8 14 8 24 8 36 8 49 9 06 9 25

10 8 01 8 05 8 09 8 13 8 17 8 22 8 27 8 32 8 39 8 46 8 54 9 03 9 13 9 25

11 8 37 8 39 8 41 8 43 8 46 8 49 8 52 8 55 8 58 9 02 9 07 9 12 9 17 9 24

12 9 09 9 10 9 11 9 11 9 12 9 13 9 13 9 14 9 15 9 16 9 17 9 19 9 20 9 22

13 9 41 9 40 9 39 9 38 9 37 9 35 9 34 9 33 9 31 9 29 9 27 9 25 9 23 9 20

14 10 12 10 10 10 07 10 05 10 02 9 59 9 55 9 51 9 47 9 43 9 38 9 32 9 25 9 18

15 10 46 10 42 10 38 10 33 10 29 10 24 10 18 10 12 10 06 9 58 9 50 9 40 9 29 9 16

16 11 22 11 17 11 12 11 06 11 00 10 53 10 46 10 37 10 28 10 18 10 06 9 52 9 35 9 14

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
36 MOONRISE AND MOONSET, 2020

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 22 23 22 40 22 54 23 05 23 15 23 23 23 38 23 51 . . . . . . . . . . . . . . . . . . . . . . . .

16 22 49 23 12 23 29 23 44 23 56 . . . . . . . . . . . . 0 04 0 16 0 29 0 45 0 54 1 04

17 23 23 23 50 . . . . . . . . . . . . 0 07 0 25 0 41 0 56 1 12 1 28 1 47 1 58 2 11

18 . . . . . . . . 0 11 0 27 0 41 0 54 1 15 1 33 1 50 2 07 2 26 2 47 3 00 3 14

19 0 08 0 37 0 59 1 16 1 31 1 44 2 07 2 26 2 44 3 02 3 21 3 44 3 57 4 12

20 1 02 1 31 1 53 2 10 2 25 2 38 3 00 3 19 3 37 3 55 4 14 4 35 4 48 5 03

21 2 06 2 32 2 52 3 08 3 22 3 34 3 54 4 12 4 28 4 44 5 02 5 22 5 34 5 47

22 3 15 3 37 3 54 4 08 4 20 4 30 4 47 5 03 5 17 5 31 5 46 6 03 6 14 6 25

23 4 27 4 43 4 57 5 08 5 17 5 25 5 39 5 52 6 03 6 15 6 27 6 41 6 49 6 58

24 5 38 5 50 5 59 6 07 6 14 6 20 6 30 6 39 6 47 6 55 7 04 7 14 7 20 7 26

25 6 49 6 55 7 01 7 05 7 09 7 13 7 19 7 24 7 29 7 34 7 39 7 45 7 49 7 52

26 7 58 8 00 8 02 8 03 8 04 8 05 8 07 8 09 8 10 8 12 8 13 8 15 8 16 8 17

27 9 08 9 05 9 02 9 00 8 59 8 57 8 55 8 53 8 51 8 49 8 46 8 44 8 43 8 41

28 10 17 10 10 10 03 9 58 9 54 9 50 9 43 9 37 9 32 9 26 9 20 9 14 9 10 9 06

29 11 28 11 16 11 05 10 57 10 50 10 43 10 32 10 23 10 14 10 05 9 56 9 45 9 39 9 32

Mar. 1 12 41 12 23 12 08 11 57 11 47 11 38 11 23 11 10 10 58 10 47 10 34 10 19 10 11 10 02

2 13 53 13 30 13 12 12 58 12 46 12 35 12 17 12 01 11 46 11 31 11 16 10 58 10 47 10 36

3 15 04 14 37 14 16 13 59 13 45 13 33 13 12 12 54 12 37 12 20 12 02 11 41 11 29 11 16

4 16 10 15 40 15 18 14 59 14 44 14 31 14 09 13 49 13 31 13 13 12 54 12 32 12 19 12 04

5 17 06 16 36 16 14 15 56 15 41 15 28 15 06 14 46 14 28 14 10 13 51 13 29 13 16 13 01

6 17 50 17 24 17 04 16 48 16 34 16 22 16 02 15 44 15 27 15 10 14 52 14 32 14 20 14 06

7 18 23 18 03 17 47 17 33 17 22 17 12 16 55 16 40 16 26 16 12 15 57 15 39 15 29 15 18

8 18 49 18 35 18 23 18 14 18 05 17 58 17 45 17 34 17 24 17 13 17 02 16 49 16 42 16 33

9 19 10 19 02 18 55 18 49 18 45 18 40 18 33 18 26 18 20 18 14 18 07 17 59 17 55 17 50

10 19 28 19 26 19 24 19 23 19 21 19 20 19 18 19 16 19 15 19 13 19 11 19 09 19 08 19 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

Feb. 15 13 06 12 50 12 38 12 28 12 19 12 11 11 58 11 47 11 36 11 26 11 14 11 01 10 54 10 46

16 14 27 14 06 13 50 13 36 13 25 13 15 12 58 12 43 12 29 12 15 12 00 11 43 11 33 11 22

17 15 44 15 18 14 58 14 42 14 28 14 16 13 56 13 38 13 22 13 06 12 48 12 28 12 17 12 03

18 16 51 16 22 16 00 15 42 15 28 15 15 14 53 14 34 14 16 13 58 13 39 13 17 13 04 12 50

19 17 46 17 17 16 55 16 37 16 22 16 09 15 47 15 27 15 09 14 51 14 32 14 10 13 57 13 41

20 18 29 18 02 17 41 17 25 17 11 16 58 16 37 16 19 16 02 15 44 15 26 15 05 14 52 14 38

21 19 01 18 38 18 20 18 06 17 53 17 42 17 24 17 07 16 52 16 36 16 20 16 01 15 50 15 37

22 19 25 19 07 18 53 18 41 18 31 18 22 18 06 17 52 17 39 17 27 17 13 16 57 16 47 16 37

23 19 45 19 31 19 20 19 11 19 04 18 57 18 45 18 34 18 25 18 15 18 04 17 52 17 45 17 36

24 20 00 19 52 19 45 19 39 19 34 19 29 19 21 19 14 19 08 19 01 18 54 18 46 18 41 18 35

25 20 14 20 10 20 07 20 04 20 01 19 59 19 56 19 52 19 49 19 46 19 42 19 38 19 36 19 33

26 20 27 20 28 20 28 20 28 20 28 20 29 20 29 20 29 20 30 20 30 20 30 20 30 20 31 20 31

27 20 40 20 45 20 49 20 52 20 55 20 58 21 02 21 06 21 10 21 14 21 18 21 23 21 25 21 28

28 20 54 21 03 21 11 21 18 21 23 21 28 21 37 21 45 21 52 21 59 22 07 22 15 22 21 22 26

29 21 10 21 24 21 36 21 45 21 54 22 01 22 14 22 25 22 35 22 46 22 57 23 10 23 17 23 25

Mar. 1 21 30 21 49 22 04 22 17 22 27 22 37 22 53 23 07 23 21 23 34 23 49 . . . . . . . . . . . .

2 21 55 22 19 22 38 22 53 23 06 23 18 23 37 23 54 . . . . . . . . . . . . 0 05 0 15 0 26

3 22 30 22 58 23 20 23 37 23 52 . . . . . . . . . . . . 0 10 0 26 0 43 1 03 1 14 1 27

4 23 18 23 48 . . . . . . . . . . . . 0 04 0 26 0 45 1 02 1 20 1 39 2 01 2 13 2 28

5 . . . . . . . . 0 11 0 29 0 45 0 58 1 20 1 40 1 58 2 16 2 36 2 58 3 12 3 27

6 0 22 0 51 1 13 1 30 1 45 1 58 2 20 2 39 2 56 3 14 3 33 3 54 4 07 4 21

7 1 40 2 05 2 24 2 39 2 52 3 04 3 23 3 40 3 55 4 11 4 27 4 46 4 57 5 09

8 3 07 3 26 3 41 3 53 4 03 4 12 4 28 4 41 4 54 5 06 5 19 5 34 5 42 5 52

9 4 39 4 52 5 01 5 10 5 17 5 23 5 33 5 42 5 51 5 59 6 08 6 18 6 23 6 30

10 6 12 6 18 6 23 6 27 6 30 6 33 6 38 6 42 6 46 6 50 6 54 6 59 7 01 7 04

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 . . . . . . . . 0 01 0 05 0 09 0 13 0 18 0 23 0 29 0 36 0 43 0 52 1 02 1 14

16 1 04 1 08 1 13 1 19 1 24 1 31 1 38 1 45 1 54 2 04 2 15 2 28 2 44 3 04

17 2 11 2 17 2 23 2 29 2 37 2 45 2 54 3 03 3 15 3 28 3 43 4 01 4 24 4 54

18 3 14 3 21 3 28 3 35 3 44 3 53 4 03 4 14 4 28 4 43 5 01 5 24 5 54 6 40

19 4 12 4 19 4 26 4 34 4 43 4 52 5 03 5 15 5 29 5 45 6 05 6 30 7 03 8 02

20 5 03 5 10 5 17 5 24 5 33 5 42 5 53 6 04 6 18 6 33 6 52 7 15 7 45 8 31

21 5 47 5 53 6 00 6 07 6 14 6 23 6 32 6 42 6 54 7 07 7 23 7 42 8 05 8 37

22 6 25 6 30 6 36 6 41 6 48 6 55 7 02 7 11 7 21 7 31 7 44 7 58 8 16 8 37

23 6 58 7 02 7 06 7 11 7 16 7 21 7 27 7 33 7 41 7 49 7 58 8 09 8 21 8 36

24 7 26 7 29 7 32 7 36 7 39 7 43 7 47 7 52 7 57 8 02 8 09 8 16 8 24 8 34

25 7 52 7 54 7 56 7 58 8 00 8 02 8 05 8 07 8 10 8 13 8 17 8 21 8 26 8 31

26 8 17 8 18 8 18 8 19 8 19 8 20 8 21 8 21 8 22 8 23 8 24 8 26 8 27 8 29

27 8 41 8 40 8 40 8 39 8 38 8 37 8 36 8 35 8 34 8 33 8 31 8 30 8 28 8 26

28 9 06 9 04 9 02 9 00 8 58 8 55 8 52 8 50 8 46 8 43 8 39 8 34 8 29 8 23

29 9 32 9 29 9 26 9 22 9 19 9 15 9 10 9 05 9 00 8 54 8 47 8 40 8 31 8 21

Mar. 1 10 02 9 57 9 53 9 48 9 43 9 37 9 31 9 24 9 17 9 08 8 59 8 48 8 35 8 19

2 10 36 10 30 10 25 10 19 10 12 10 05 9 57 9 48 9 38 9 27 9 14 8 59 8 41 8 18

3 11 16 11 10 11 03 10 56 10 48 10 40 10 30 10 19 10 07 9 54 9 37 9 18 8 53 8 20

4 12 04 11 57 11 50 11 42 11 33 11 24 11 13 11 02 10 48 10 32 10 14 9 50 9 19 8 31

5 13 01 12 54 12 46 12 39 12 30 12 20 12 10 11 58 11 44 11 28 11 09 10 44 10 12 9 17

6 14 06 14 00 13 53 13 46 13 38 13 29 13 19 13 08 12 56 12 41 12 24 12 03 11 36 10 58

7 15 18 15 12 15 07 15 01 14 54 14 47 14 39 14 30 14 20 14 09 13 56 13 40 13 21 12 57

8 16 33 16 29 16 25 16 21 16 16 16 11 16 05 15 59 15 52 15 44 15 35 15 25 15 13 14 58

9 17 50 17 48 17 45 17 43 17 40 17 37 17 34 17 30 17 26 17 22 17 17 17 11 17 05 16 57

10 19 07 19 06 19 06 19 05 19 04 19 03 19 03 19 02 19 01 19 00 18 58 18 57 18 55 18 54

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 10 46 10 42 10 38 10 33 10 29 10 24 10 18 10 12 10 06 9 58 9 50 9 40 9 29 9 16

16 11 22 11 17 11 12 11 06 11 00 10 53 10 46 10 37 10 28 10 18 10 06 9 52 9 35 9 14

17 12 03 11 57 11 51 11 44 11 36 11 28 11 19 11 09 10 57 10 44 10 28 10 09 9 46 9 15

18 12 50 12 43 12 36 12 28 12 20 12 10 12 00 11 48 11 35 11 19 11 01 10 38 10 08 9 21

19 13 41 13 35 13 27 13 19 13 11 13 01 12 50 12 38 12 24 12 08 11 48 11 24 10 50 9 52

20 14 38 14 31 14 24 14 17 14 08 13 59 13 49 13 37 13 24 13 09 12 51 12 28 11 58 11 12

21 15 37 15 31 15 25 15 18 15 11 15 03 14 54 14 44 14 32 14 19 14 04 13 46 13 22 12 51

22 16 37 16 32 16 27 16 21 16 15 16 09 16 01 15 53 15 44 15 34 15 22 15 08 14 52 14 31

23 17 36 17 33 17 29 17 25 17 20 17 15 17 10 17 04 16 57 16 50 16 41 16 32 16 20 16 06

24 18 35 18 33 18 30 18 28 18 25 18 22 18 18 18 14 18 10 18 05 18 00 17 53 17 46 17 38

25 19 33 19 32 19 31 19 30 19 28 19 27 19 25 19 23 19 21 19 19 19 16 19 13 19 10 19 06

26 20 31 20 31 20 31 20 31 20 31 20 31 20 31 20 32 20 32 20 32 20 32 20 32 20 33 20 33

27 21 28 21 30 21 31 21 33 21 34 21 36 21 38 21 40 21 42 21 45 21 48 21 51 21 55 22 00

28 22 26 22 29 22 32 22 35 22 38 22 41 22 45 22 49 22 54 22 59 23 05 23 11 23 19 23 28

29 23 25 23 29 23 33 23 38 23 42 23 47 23 53 23 59 . . . . . . . . . . . . . . . . . . . . . . . .

Mar. 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 06 0 14 0 23 0 33 0 46 1 00

2 0 26 0 31 0 36 0 42 0 48 0 55 1 02 1 11 1 20 1 31 1 43 1 57 2 15 2 37

3 1 27 1 33 1 39 1 46 1 54 2 02 2 11 2 22 2 33 2 47 3 02 3 22 3 46 4 19

4 2 28 2 35 2 42 2 50 2 58 3 07 3 18 3 29 3 43 3 58 4 17 4 40 5 11 5 59

5 3 27 3 34 3 41 3 49 3 58 4 07 4 18 4 30 4 44 5 00 5 19 5 44 6 16 7 11

6 4 21 4 27 4 34 4 42 4 50 4 59 5 09 5 20 5 33 5 48 6 05 6 26 6 54 7 33

7 5 09 5 15 5 21 5 27 5 34 5 42 5 50 6 00 6 10 6 22 6 36 6 52 7 12 7 37

8 5 52 5 56 6 01 6 06 6 11 6 17 6 23 6 30 6 38 6 47 6 57 7 08 7 22 7 37

9 6 30 6 33 6 36 6 39 6 43 6 46 6 50 6 55 7 00 7 05 7 12 7 19 7 27 7 36

10 7 04 7 06 7 07 7 08 7 10 7 12 7 14 7 16 7 18 7 20 7 23 7 26 7 30 7 34

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
38 MOONRISE AND MOONSET, 2020

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 19 10 19 02 18 55 18 49 18 45 18 40 18 33 18 26 18 20 18 14 18 07 17 59 17 55 17 50

10 19 28 19 26 19 24 19 23 19 21 19 20 19 18 19 16 19 15 19 13 19 11 19 09 19 08 19 07

11 19 46 19 49 19 52 19 55 19 57 19 59 20 02 20 05 20 08 20 11 20 14 20 18 20 20 20 23

12 20 04 20 13 20 21 20 27 20 33 20 38 20 47 20 54 21 02 21 09 21 17 21 26 21 31 21 37

13 20 24 20 40 20 52 21 02 21 11 21 19 21 32 21 44 21 55 22 07 22 19 22 33 22 41 22 50

14 20 50 21 11 21 27 21 41 21 52 22 02 22 20 22 35 22 50 23 05 23 20 23 38 23 49 . . . .

15 21 22 21 48 22 07 22 24 22 37 22 49 23 10 23 28 23 45 . . . . . . . . . . . . . . . . 0 01

16 22 03 22 32 22 54 23 12 23 27 23 40 . . . . . . . . . . . . 0 02 0 20 0 41 0 53 1 08

17 22 55 23 25 23 47 . . . . . . . . . . . . 0 02 0 22 0 40 0 58 1 17 1 40 1 53 2 08

18 23 57 . . . . . . . . 0 05 0 20 0 34 0 56 1 15 1 33 1 52 2 11 2 34 2 47 3 02

19 . . . . 0 24 0 45 1 02 1 16 1 29 1 50 2 08 2 25 2 42 3 01 3 22 3 34 3 48

20 1 05 1 28 1 47 2 01 2 14 2 25 2 43 3 00 3 15 3 30 3 46 4 04 4 15 4 27

21 2 16 2 34 2 49 3 01 3 11 3 20 3 35 3 49 4 01 4 14 4 27 4 42 4 51 5 01

22 3 27 3 41 3 51 4 00 4 08 4 15 4 26 4 36 4 46 4 55 5 05 5 16 5 23 5 30

23 4 38 4 46 4 53 4 59 5 04 5 08 5 15 5 22 5 28 5 34 5 40 5 48 5 52 5 57

24 5 48 5 51 5 54 5 57 5 59 6 01 6 04 6 06 6 09 6 12 6 14 6 17 6 19 6 21

25 6 58 6 56 6 55 6 54 6 53 6 53 6 51 6 50 6 49 6 49 6 48 6 46 6 46 6 45

26 8 08 8 01 7 56 7 52 7 48 7 45 7 40 7 35 7 30 7 26 7 21 7 16 7 13 7 09

27 9 18 9 07 8 58 8 50 8 44 8 38 8 28 8 20 8 12 8 04 7 56 7 46 7 41 7 35

28 10 30 10 14 10 01 9 50 9 41 9 33 9 19 9 07 8 56 8 45 8 33 8 19 8 12 8 03

29 11 43 11 21 11 04 10 50 10 38 10 28 10 11 9 56 9 42 9 28 9 13 8 56 8 46 8 35

30 12 54 12 27 12 07 11 51 11 37 11 25 11 05 10 47 10 31 10 14 9 57 9 37 9 25 9 12

31 14 01 13 31 13 08 12 50 12 35 12 22 12 00 11 41 11 23 11 05 10 45 10 23 10 11 9 56

Apr. 1 14 59 14 28 14 05 13 47 13 32 13 18 12 55 12 36 12 17 11 59 11 39 11 16 11 03 10 48

2 15 46 15 18 14 56 14 39 14 24 14 12 13 50 13 31 13 13 12 56 12 37 12 15 12 02 11 47

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 4 39 4 52 5 01 5 10 5 17 5 23 5 33 5 42 5 51 5 59 6 08 6 18 6 23 6 30

10 6 12 6 18 6 23 6 27 6 30 6 33 6 38 6 42 6 46 6 50 6 54 6 59 7 01 7 04

11 7 45 7 44 7 43 7 43 7 42 7 42 7 41 7 41 7 40 7 39 7 39 7 38 7 37 7 37

12 9 16 9 09 9 03 8 58 8 54 8 50 8 44 8 39 8 33 8 28 8 23 8 17 8 13 8 09

13 10 45 10 32 10 21 10 12 10 05 9 58 9 46 9 36 9 27 9 18 9 08 8 57 8 50 8 43

14 12 12 11 52 11 37 11 24 11 14 11 04 10 48 10 34 10 21 10 08 9 55 9 39 9 30 9 19

15 13 33 13 08 12 49 12 33 12 20 12 09 11 49 11 32 11 16 11 00 10 43 10 24 10 13 10 00

16 14 45 14 16 13 55 13 37 13 22 13 10 12 48 12 29 12 11 11 54 11 35 11 13 11 00 10 46

17 15 45 15 15 14 53 14 35 14 19 14 06 13 44 13 24 13 06 12 47 12 28 12 05 11 52 11 37

18 16 31 16 03 15 42 15 24 15 10 14 57 14 35 14 16 13 59 13 41 13 22 13 00 12 47 12 32

19 17 06 16 41 16 23 16 07 15 54 15 42 15 23 15 06 14 49 14 33 14 16 13 56 13 44 13 30

20 17 32 17 12 16 56 16 43 16 32 16 23 16 06 15 51 15 37 15 24 15 09 14 52 14 42 14 30

21 17 52 17 37 17 25 17 15 17 06 16 59 16 45 16 34 16 23 16 12 16 00 15 47 15 39 15 30

22 18 08 17 58 17 50 17 43 17 37 17 31 17 22 17 14 17 06 16 58 16 50 16 41 16 35 16 29

23 18 22 18 17 18 12 18 08 18 05 18 02 17 57 17 52 17 48 17 43 17 39 17 33 17 30 17 27

24 18 35 18 34 18 33 18 32 18 32 18 31 18 30 18 29 18 29 18 28 18 27 18 26 18 25 18 24

25 18 47 18 51 18 54 18 56 18 58 19 00 19 04 19 06 19 09 19 12 19 15 19 18 19 20 19 22

26 19 00 19 09 19 15 19 21 19 26 19 30 19 38 19 44 19 50 19 56 20 03 20 11 20 15 20 20

27 19 15 19 28 19 39 19 48 19 55 20 02 20 13 20 23 20 33 20 42 20 53 21 04 21 11 21 19

28 19 33 19 51 20 05 20 17 20 27 20 36 20 51 21 05 21 18 21 30 21 44 21 59 22 08 22 19

29 19 56 20 19 20 37 20 51 21 04 21 15 21 33 21 50 22 05 22 20 22 37 22 56 23 07 23 19

30 20 27 20 54 21 15 21 31 21 46 21 58 22 19 22 38 22 55 23 13 23 31 23 52 . . . . . . . .

31 21 08 21 38 22 01 22 19 22 34 22 48 23 10 23 30 23 48 . . . . . . . . . . . . 0 05 0 19

Apr. 1 22 03 22 34 22 56 23 15 23 30 23 43 . . . . . . . . . . . . 0 07 0 26 0 49 1 02 1 18

2 23 13 23 41 . . . . . . . . . . . . . . . . 0 06 0 26 0 44 1 02 1 21 1 44 1 57 2 12

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 17 50 17 48 17 45 17 43 17 40 17 37 17 34 17 30 17 26 17 22 17 17 17 11 17 05 16 57

10 19 07 19 06 19 06 19 05 19 04 19 03 19 03 19 02 19 01 19 00 18 58 18 57 18 55 18 54

11 20 23 20 24 20 25 20 26 20 27 20 29 20 30 20 32 20 34 20 36 20 39 20 41 20 44 20 48

12 21 37 21 40 21 43 21 46 21 49 21 53 21 57 22 01 22 06 22 11 22 17 22 24 22 33 22 42

13 22 50 22 55 22 59 23 04 23 09 23 15 23 21 23 28 23 36 23 44 23 55 . . . . . . . . . . . .

14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 06 0 20 0 37

15 0 01 0 06 0 12 0 19 0 26 0 33 0 41 0 51 1 01 1 14 1 28 1 45 2 05 2 33

16 1 08 1 14 1 21 1 28 1 36 1 45 1 55 2 07 2 20 2 35 2 52 3 15 3 43 4 27

17 2 08 2 15 2 23 2 31 2 39 2 49 3 00 3 12 3 26 3 43 4 03 4 28 5 03 6 06

18 3 02 3 09 3 16 3 24 3 33 3 42 3 53 4 05 4 19 4 35 4 55 5 19 5 52 6 48

19 3 48 3 54 4 01 4 08 4 16 4 25 4 35 4 46 4 58 5 12 5 29 5 50 6 16 6 53

20 4 27 4 33 4 38 4 45 4 52 4 59 5 07 5 16 5 27 5 39 5 52 6 08 6 28 6 52

21 5 01 5 05 5 10 5 15 5 20 5 26 5 33 5 40 5 48 5 57 6 07 6 19 6 33 6 50

22 5 30 5 33 5 37 5 41 5 45 5 49 5 54 5 59 6 05 6 11 6 18 6 27 6 36 6 48

23 5 57 5 59 6 01 6 03 6 06 6 09 6 12 6 15 6 18 6 22 6 27 6 32 6 38 6 45

24 6 21 6 22 6 23 6 24 6 25 6 26 6 28 6 29 6 31 6 32 6 34 6 36 6 39 6 41

25 6 45 6 45 6 45 6 44 6 44 6 43 6 43 6 42 6 42 6 41 6 41 6 40 6 39 6 38

26 7 09 7 08 7 06 7 05 7 03 7 01 6 59 6 56 6 54 6 51 6 48 6 44 6 40 6 35

27 7 35 7 32 7 29 7 26 7 23 7 19 7 15 7 11 7 06 7 01 6 55 6 49 6 41 6 32

28 8 03 7 59 7 55 7 50 7 46 7 40 7 35 7 29 7 22 7 14 7 05 6 55 6 43 6 29

29 8 35 8 30 8 24 8 19 8 12 8 06 7 58 7 50 7 41 7 30 7 18 7 04 6 48 6 27

30 9 12 9 06 8 59 8 53 8 45 8 37 8 28 8 18 8 06 7 53 7 38 7 19 6 56 6 26

31 9 56 9 49 9 42 9 34 9 26 9 16 9 06 8 54 8 41 8 26 8 07 7 44 7 14 6 28

Apr. 1 10 48 10 41 10 33 10 25 10 16 10 06 9 56 9 43 9 29 9 13 8 53 8 27 7 53 6 50

2 11 47 11 41 11 34 11 26 11 17 11 08 10 58 10 46 10 32 10 17 9 58 9 34 9 03 8 13

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 6 30 6 33 6 36 6 39 6 43 6 46 6 50 6 55 7 00 7 05 7 12 7 19 7 27 7 36

10 7 04 7 06 7 07 7 08 7 10 7 12 7 14 7 16 7 18 7 20 7 23 7 26 7 30 7 34

11 7 37 7 37 7 36 7 36 7 36 7 35 7 35 7 35 7 34 7 34 7 33 7 33 7 32 7 31

12 8 09 8 07 8 05 8 03 8 01 7 59 7 56 7 54 7 51 7 47 7 43 7 39 7 34 7 29

13 8 43 8 39 8 36 8 32 8 28 8 24 8 19 8 14 8 08 8 02 7 55 7 47 7 37 7 26

14 9 19 9 15 9 10 9 04 8 59 8 52 8 46 8 38 8 30 8 20 8 09 7 57 7 42 7 24

15 10 00 9 54 9 48 9 41 9 34 9 26 9 17 9 07 8 56 8 44 8 29 8 12 7 50 7 22

16 10 46 10 39 10 32 10 24 10 16 10 07 9 57 9 45 9 32 9 17 8 58 8 36 8 07 7 23

17 11 37 11 30 11 22 11 14 11 05 10 56 10 45 10 32 10 18 10 02 9 42 9 16 8 42 7 38

18 12 32 12 25 12 18 12 10 12 02 11 52 11 42 11 30 11 16 11 00 10 40 10 16 9 43 8 48

19 13 30 13 24 13 18 13 11 13 03 12 54 12 45 12 34 12 22 12 08 11 52 11 31 11 06 10 29

20 14 30 14 25 14 19 14 13 14 07 14 00 13 52 13 43 13 33 13 22 13 09 12 54 12 35 12 11

21 15 30 15 26 15 21 15 17 15 12 15 06 15 00 14 54 14 46 14 38 14 28 14 17 14 04 13 48

22 16 29 16 26 16 23 16 20 16 16 16 12 16 08 16 04 15 59 15 53 15 46 15 39 15 31 15 20

23 17 27 17 25 17 24 17 22 17 20 17 18 17 16 17 13 17 10 17 07 17 04 17 00 16 55 16 50

24 18 24 18 24 18 24 18 23 18 23 18 23 18 22 18 22 18 21 18 21 18 20 18 19 18 18 18 17

25 19 22 19 23 19 24 19 25 19 26 19 27 19 29 19 30 19 32 19 34 19 36 19 38 19 41 19 44

26 20 20 20 22 20 25 20 27 20 30 20 33 20 36 20 40 20 43 20 48 20 53 20 58 21 05 21 13

27 21 19 21 22 21 26 21 30 21 34 21 39 21 44 21 50 21 56 22 03 22 11 22 20 22 31 22 44

28 22 19 22 23 22 28 22 34 22 39 22 46 22 53 23 01 23 09 23 19 23 31 23 44 . . . . . . . .

29 23 19 23 25 23 31 23 38 23 45 23 53 . . . . . . . . . . . . . . . . . . . . . . . . 0 00 0 20

30 . . . . . . . . . . . . . . . . . . . . . . . . 0 02 0 11 0 22 0 35 0 50 1 08 1 31 2 00

31 0 19 0 26 0 33 0 41 0 49 0 58 1 08 1 20 1 33 1 48 2 06 2 29 2 58 3 44

Apr. 1 1 18 1 25 1 32 1 40 1 49 1 59 2 09 2 22 2 36 2 52 3 12 3 37 4 12 5 15

2 2 12 2 19 2 26 2 34 2 43 2 52 3 03 3 15 3 28 3 44 4 03 4 27 4 58 5 48

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
40 MOONRISE AND MOONSET, 2020

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 14 59 14 28 14 05 13 47 13 32 13 18 12 55 12 36 12 17 11 59 11 39 11 16 11 03 10 48

2 15 46 15 18 14 56 14 39 14 24 14 12 13 50 13 31 13 13 12 56 12 37 12 15 12 02 11 47

3 16 22 15 59 15 40 15 25 15 13 15 02 14 43 14 26 14 10 13 55 13 38 13 19 13 07 12 54

4 16 50 16 32 16 18 16 06 15 56 15 48 15 33 15 19 15 07 14 54 14 41 14 25 14 16 14 06

5 17 12 17 00 16 51 16 43 16 36 16 30 16 20 16 11 16 02 15 54 15 44 15 34 15 28 15 21

6 17 30 17 25 17 20 17 17 17 13 17 10 17 05 17 01 16 57 16 53 16 48 16 43 16 40 16 37

7 17 48 17 48 17 49 17 49 17 49 17 49 17 50 17 50 17 51 17 51 17 52 17 53 17 53 17 53

8 18 05 18 12 18 17 18 21 18 25 18 29 18 35 18 40 18 45 18 50 18 56 19 02 19 06 19 10

9 18 24 18 37 18 47 18 56 19 03 19 09 19 21 19 31 19 40 19 50 20 00 20 12 20 18 20 26

10 18 48 19 06 19 21 19 33 19 44 19 53 20 09 20 23 20 36 20 50 21 04 21 20 21 30 21 41

11 19 17 19 41 20 00 20 16 20 29 20 40 21 00 21 17 21 33 21 50 22 07 22 27 22 39 22 53

12 19 55 20 24 20 46 21 03 21 18 21 31 21 53 22 12 22 30 22 48 23 08 23 30 23 43 23 59

13 20 45 21 15 21 38 21 57 22 12 22 25 22 48 23 08 23 27 23 45 . . . . . . . . . . . . . . . .

14 21 45 22 14 22 36 22 54 23 09 23 22 23 44 . . . . . . . . . . . . 0 05 0 28 0 41 0 57

15 22 53 23 18 23 38 23 54 . . . . . . . . . . . . 0 03 0 20 0 38 0 57 1 19 1 32 1 47

16 . . . . . . . . . . . . . . . . 0 07 0 18 0 38 0 55 1 11 1 27 1 45 2 04 2 16 2 29

17 0 04 0 25 0 41 0 54 1 05 1 15 1 31 1 46 1 59 2 13 2 27 2 44 2 53 3 04

18 1 16 1 31 1 43 1 54 2 02 2 10 2 23 2 34 2 44 2 55 3 06 3 19 3 26 3 34

19 2 27 2 37 2 46 2 52 2 58 3 03 3 12 3 20 3 27 3 34 3 42 3 51 3 56 4 01

20 3 37 3 43 3 47 3 50 3 53 3 56 4 01 4 05 4 08 4 12 4 16 4 21 4 23 4 26

21 4 47 4 47 4 48 4 48 4 48 4 48 4 48 4 49 4 49 4 49 4 49 4 50 4 50 4 50

22 5 57 5 53 5 49 5 46 5 43 5 41 5 36 5 33 5 29 5 26 5 23 5 19 5 16 5 14

23 7 08 6 58 6 51 6 44 6 39 6 34 6 25 6 18 6 11 6 04 5 57 5 49 5 44 5 39

24 8 21 8 05 7 54 7 44 7 35 7 28 7 15 7 04 6 54 6 44 6 33 6 21 6 14 6 06

25 9 34 9 13 8 57 8 44 8 33 8 24 8 07 7 53 7 40 7 26 7 12 6 56 6 47 6 36

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 22 03 22 34 22 56 23 15 23 30 23 43 . . . . . . . . . . . . 0 07 0 26 0 49 1 02 1 18

2 23 13 23 41 . . . . . . . . . . . . . . . . 0 06 0 26 0 44 1 02 1 21 1 44 1 57 2 12

3 . . . . . . . . 0 01 0 18 0 32 0 45 1 06 1 24 1 41 1 57 2 15 2 36 2 47 3 01

4 0 34 0 57 1 14 1 28 1 40 1 50 2 08 2 23 2 37 2 51 3 06 3 24 3 33 3 45

5 2 02 2 18 2 31 2 41 2 50 2 58 3 11 3 23 3 33 3 44 3 55 4 08 4 15 4 23

6 3 34 3 43 3 51 3 57 4 02 4 07 4 15 4 22 4 28 4 35 4 41 4 49 4 53 4 58

7 5 06 5 09 5 11 5 13 5 15 5 16 5 18 5 21 5 22 5 24 5 26 5 28 5 30 5 31

8 6 39 6 35 6 32 6 30 6 28 6 26 6 22 6 19 6 16 6 14 6 11 6 07 6 05 6 03

9 8 12 8 02 7 53 7 46 7 40 7 35 7 26 7 18 7 11 7 04 6 56 6 47 6 42 6 36

10 9 44 9 27 9 13 9 02 8 53 8 45 8 30 8 18 8 07 7 55 7 43 7 29 7 21 7 12

11 11 11 10 48 10 30 10 16 10 03 9 53 9 34 9 18 9 03 8 48 8 33 8 14 8 04 7 52

12 12 31 12 03 11 42 11 25 11 10 10 58 10 36 10 18 10 01 9 43 9 25 9 04 8 51 8 37

13 13 39 13 08 12 46 12 27 12 12 11 58 11 36 11 16 10 58 10 39 10 19 9 56 9 43 9 28

14 14 31 14 02 13 39 13 21 13 06 12 53 12 31 12 11 11 53 11 34 11 15 10 52 10 39 10 23

15 15 10 14 44 14 24 14 07 13 53 13 41 13 20 13 02 12 45 12 28 12 10 11 49 11 36 11 22

16 15 39 15 17 15 00 14 46 14 34 14 24 14 06 13 50 13 35 13 20 13 04 12 46 12 35 12 22

17 16 00 15 43 15 30 15 19 15 09 15 01 14 46 14 33 14 21 14 09 13 56 13 41 13 33 13 23

18 16 17 16 05 15 55 15 47 15 40 15 34 15 24 15 14 15 05 14 56 14 47 14 36 14 29 14 22

19 16 31 16 24 16 18 16 13 16 09 16 05 15 59 15 53 15 47 15 42 15 36 15 29 15 25 15 20

20 16 44 16 41 16 39 16 37 16 36 16 34 16 32 16 30 16 28 16 26 16 24 16 21 16 20 16 18

21 16 56 16 58 17 00 17 01 17 02 17 03 17 05 17 07 17 08 17 10 17 12 17 13 17 15 17 16

22 17 08 17 15 17 21 17 25 17 29 17 33 17 39 17 44 17 49 17 54 18 00 18 06 18 10 18 14

23 17 22 17 34 17 43 17 51 17 58 18 04 18 14 18 23 18 31 18 40 18 49 19 00 19 06 19 13

24 17 39 17 55 18 08 18 19 18 29 18 37 18 51 19 04 19 16 19 27 19 40 19 55 20 03 20 13

25 18 00 18 21 18 38 18 52 19 04 19 14 19 32 19 48 20 02 20 17 20 33 20 51 21 02 21 14

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 10 48 10 41 10 33 10 25 10 16 10 06 9 56 9 43 9 29 9 13 8 53 8 27 7 53 6 50

2 11 47 11 41 11 34 11 26 11 17 11 08 10 58 10 46 10 32 10 17 9 58 9 34 9 03 8 13

3 12 54 12 48 12 42 12 35 12 28 12 20 12 11 12 01 11 50 11 36 11 21 11 02 10 39 10 08

4 14 06 14 02 13 57 13 51 13 46 13 39 13 32 13 25 13 16 13 06 12 55 12 42 12 26 12 07

5 15 21 15 18 15 14 15 11 15 07 15 03 14 58 14 53 14 48 14 41 14 34 14 26 14 17 14 05

6 16 37 16 35 16 34 16 32 16 30 16 28 16 26 16 24 16 21 16 18 16 15 16 11 16 07 16 02

7 17 53 17 54 17 54 17 54 17 54 17 55 17 55 17 55 17 56 17 56 17 56 17 57 17 58 17 58

8 19 10 19 12 19 14 19 16 19 18 19 21 19 24 19 27 19 30 19 34 19 38 19 43 19 48 19 55

9 20 26 20 30 20 34 20 38 20 42 20 47 20 52 20 58 21 04 21 11 21 19 21 29 21 40 21 53

10 21 41 21 46 21 51 21 57 22 03 22 10 22 18 22 26 22 36 22 47 22 59 23 14 23 32 23 55

11 22 53 22 59 23 06 23 13 23 21 23 29 23 39 23 49 . . . . . . . . . . . . . . . . . . . . . . . .

12 23 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 02 0 16 0 33 0 53 1 20 1 57

13 . . . . 0 06 0 13 0 21 0 30 0 39 0 50 1 03 1 17 1 33 1 53 2 19 2 53 3 58

14 0 57 1 04 1 11 1 20 1 29 1 39 1 50 2 02 2 17 2 34 2 54 3 20 3 57 5 12

15 1 47 1 53 2 00 2 08 2 17 2 26 2 36 2 48 3 01 3 17 3 35 3 58 4 28 5 13

16 2 29 2 34 2 41 2 48 2 55 3 03 3 12 3 22 3 33 3 46 4 01 4 19 4 41 5 10

17 3 04 3 09 3 14 3 20 3 26 3 32 3 39 3 47 3 56 4 06 4 18 4 31 4 47 5 07

18 3 34 3 38 3 42 3 46 3 51 3 56 4 01 4 07 4 14 4 21 4 29 4 39 4 50 5 03

19 4 01 4 04 4 07 4 09 4 13 4 16 4 19 4 23 4 28 4 33 4 38 4 44 4 51 5 00

20 4 26 4 28 4 29 4 30 4 32 4 34 4 36 4 38 4 40 4 42 4 45 4 48 4 52 4 56

21 4 50 4 50 4 50 4 50 4 50 4 51 4 51 4 51 4 51 4 51 4 51 4 52 4 52 4 52

22 5 14 5 13 5 12 5 10 5 09 5 07 5 06 5 04 5 02 5 00 4 58 4 55 4 52 4 49

23 5 39 5 36 5 34 5 31 5 28 5 25 5 22 5 18 5 14 5 10 5 05 4 59 4 53 4 45

24 6 06 6 02 5 58 5 54 5 50 5 45 5 40 5 35 5 28 5 21 5 13 5 04 4 54 4 41

25 6 36 6 32 6 27 6 21 6 15 6 09 6 02 5 54 5 46 5 36 5 25 5 12 4 57 4 38

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 1 18 1 25 1 32 1 40 1 49 1 59 2 09 2 22 2 36 2 52 3 12 3 37 4 12 5 15

2 2 12 2 19 2 26 2 34 2 43 2 52 3 03 3 15 3 28 3 44 4 03 4 27 4 58 5 48

3 3 01 3 07 3 14 3 21 3 29 3 37 3 46 3 57 4 09 4 22 4 38 4 57 5 21 5 53

4 3 45 3 50 3 55 4 01 4 07 4 14 4 21 4 30 4 39 4 49 5 01 5 15 5 32 5 52

5 4 23 4 27 4 31 4 35 4 40 4 44 4 50 4 56 5 02 5 09 5 17 5 27 5 38 5 50

6 4 58 5 00 5 03 5 05 5 08 5 11 5 14 5 17 5 21 5 25 5 29 5 35 5 41 5 47

7 5 31 5 32 5 32 5 33 5 34 5 34 5 35 5 36 5 37 5 38 5 39 5 41 5 42 5 44

8 6 03 6 02 6 01 6 00 5 59 5 57 5 56 5 55 5 53 5 51 5 49 5 47 5 44 5 41

9 6 36 6 34 6 31 6 28 6 25 6 22 6 18 6 14 6 10 6 05 5 59 5 53 5 46 5 38

10 7 12 7 08 7 04 6 59 6 54 6 49 6 43 6 36 6 29 6 21 6 12 6 01 5 49 5 34

11 7 52 7 46 7 41 7 35 7 28 7 20 7 12 7 03 6 53 6 42 6 29 6 13 5 54 5 31

12 8 37 8 31 8 24 8 16 8 08 7 59 7 49 7 38 7 26 7 11 6 54 6 33 6 06 5 28

13 9 28 9 21 9 13 9 05 8 56 8 46 8 35 8 23 8 09 7 52 7 32 7 06 6 31 5 27

14 10 23 10 16 10 09 10 01 9 52 9 42 9 31 9 18 9 04 8 47 8 27 8 01 7 24 6 10

15 11 22 11 16 11 09 11 01 10 53 10 44 10 34 10 23 10 09 9 54 9 36 9 14 8 44 7 59

16 12 22 12 17 12 11 12 04 11 57 11 50 11 41 11 32 11 21 11 08 10 54 10 36 10 15 9 46

17 13 23 13 18 13 13 13 08 13 03 12 57 12 50 12 42 12 34 12 25 12 14 12 01 11 46 11 27

18 14 22 14 19 14 15 14 12 14 08 14 03 13 58 13 53 13 47 13 41 13 33 13 24 13 14 13 02

19 15 20 15 18 15 16 15 14 15 12 15 09 15 06 15 03 14 59 14 55 14 51 14 46 14 40 14 33

20 16 18 16 17 16 17 16 16 16 15 16 14 16 13 16 12 16 10 16 09 16 07 16 05 16 03 16 01

21 17 16 17 16 17 17 17 17 17 18 17 19 17 20 17 20 17 21 17 22 17 24 17 25 17 26 17 28

22 18 14 18 16 18 17 18 20 18 22 18 24 18 27 18 30 18 33 18 37 18 41 18 45 18 50 18 57

23 19 13 19 16 19 19 19 23 19 26 19 31 19 35 19 40 19 46 19 52 19 59 20 07 20 17 20 28

24 20 13 20 17 20 22 20 27 20 32 20 38 20 44 20 52 21 00 21 09 21 19 21 31 21 46 22 03

25 21 14 21 19 21 25 21 31 21 38 21 46 21 54 22 03 22 14 22 26 22 40 22 57 23 17 23 44

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
42 MOONRISE AND MOONSET, 2020

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 8 21 8 05 7 54 7 44 7 35 7 28 7 15 7 04 6 54 6 44 6 33 6 21 6 14 6 06

25 9 34 9 13 8 57 8 44 8 33 8 24 8 07 7 53 7 40 7 26 7 12 6 56 6 47 6 36

26 10 46 10 21 10 01 9 45 9 32 9 21 9 01 8 44 8 28 8 12 7 55 7 36 7 24 7 11

27 11 55 11 26 11 03 10 46 10 31 10 18 9 56 9 36 9 19 9 01 8 42 8 20 8 07 7 53

28 12 56 12 25 12 02 11 43 11 27 11 14 10 51 10 31 10 12 9 53 9 33 9 11 8 57 8 42

29 13 46 13 16 12 54 12 36 12 20 12 07 11 45 11 25 11 07 10 49 10 29 10 06 9 53 9 38

30 14 24 13 59 13 39 13 23 13 09 12 57 12 37 12 19 12 02 11 45 11 28 11 07 10 55 10 41

May 1 14 54 14 33 14 17 14 04 13 53 13 43 13 26 13 11 12 57 12 43 12 28 12 11 12 01 11 49

2 15 16 15 02 14 50 14 41 14 32 14 25 14 12 14 01 13 51 13 40 13 29 13 16 13 09 13 00

3 15 35 15 27 15 20 15 14 15 09 15 05 14 57 14 50 14 44 14 37 14 31 14 23 14 18 14 13

4 15 52 15 49 15 47 15 45 15 44 15 42 15 40 15 38 15 36 15 34 15 32 15 30 15 29 15 27

5 16 08 16 11 16 14 16 16 16 18 16 20 16 23 16 26 16 29 16 32 16 34 16 38 16 40 16 42

6 16 26 16 35 16 43 16 49 16 54 16 59 17 08 17 16 17 23 17 30 17 38 17 47 17 52 17 58

7 16 46 17 02 17 14 17 24 17 33 17 41 17 55 18 07 18 18 18 30 18 42 18 56 19 05 19 14

8 17 12 17 33 17 50 18 04 18 16 18 27 18 45 19 01 19 16 19 31 19 47 20 06 20 17 20 29

9 17 46 18 13 18 34 18 50 19 05 19 17 19 38 19 57 20 14 20 32 20 51 21 13 21 25 21 40

10 18 31 19 01 19 24 19 43 19 58 20 12 20 35 20 54 21 13 21 32 21 52 22 15 22 29 22 44

11 19 29 19 59 20 22 20 40 20 56 21 09 21 32 21 52 22 10 22 28 22 48 23 11 23 24 23 40

12 20 36 21 03 21 24 21 41 21 55 22 08 22 29 22 47 23 04 23 21 23 39 . . . . . . . . . . . .

13 21 48 22 11 22 28 22 43 22 55 23 06 23 24 23 40 23 54 . . . . . . . . 0 00 0 12 0 26

14 23 01 23 19 23 33 23 44 23 54 . . . . . . . . . . . . . . . . 0 09 0 25 0 43 0 53 1 05

15 . . . . . . . . . . . . . . . . . . . . 0 02 0 17 0 29 0 41 0 53 1 05 1 20 1 28 1 37

16 0 14 0 26 0 36 0 44 0 51 0 57 1 07 1 16 1 25 1 34 1 43 1 53 1 59 2 06

17 1 25 1 32 1 38 1 42 1 46 1 50 1 56 2 02 2 07 2 12 2 17 2 23 2 27 2 31

18 2 35 2 37 2 39 2 40 2 41 2 42 2 44 2 46 2 47 2 49 2 51 2 53 2 54 2 55

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 17 39 17 55 18 08 18 19 18 29 18 37 18 51 19 04 19 16 19 27 19 40 19 55 20 03 20 13

25 18 00 18 21 18 38 18 52 19 04 19 14 19 32 19 48 20 02 20 17 20 33 20 51 21 02 21 14

26 18 27 18 53 19 14 19 30 19 44 19 56 20 17 20 35 20 52 21 09 21 27 21 48 22 00 22 14

27 19 04 19 34 19 57 20 15 20 30 20 43 21 06 21 26 21 44 22 02 22 22 22 45 22 58 23 13

28 19 54 20 25 20 49 21 07 21 23 21 36 22 00 22 20 22 38 22 57 23 17 23 39 23 53 . . . .

29 20 58 21 27 21 49 22 07 22 22 22 35 22 57 23 16 23 33 23 51 . . . . . . . . . . . . 0 08

30 22 14 22 38 22 57 23 13 23 26 23 37 23 56 . . . . . . . . . . . . 0 10 0 31 0 44 0 58

May 1 23 37 23 56 . . . . . . . . . . . . . . . . . . . . 0 13 0 28 0 44 1 00 1 19 1 30 1 42

2 . . . . . . . . 0 10 0 23 0 33 0 42 0 57 1 10 1 23 1 35 1 48 2 03 2 11 2 21

3 1 04 1 17 1 26 1 35 1 42 1 48 1 58 2 08 2 16 2 24 2 33 2 43 2 49 2 56

4 2 33 2 39 2 44 2 48 2 52 2 55 3 00 3 04 3 09 3 13 3 17 3 22 3 25 3 28

5 4 04 4 03 4 03 4 03 4 02 4 02 4 02 4 01 4 01 4 01 4 00 4 00 3 59 3 59

6 5 35 5 28 5 23 5 18 5 14 5 11 5 04 4 59 4 54 4 49 4 44 4 38 4 34 4 31

7 7 07 6 54 6 43 6 34 6 26 6 20 6 08 5 58 5 49 5 39 5 29 5 18 5 12 5 04

8 8 39 8 19 8 03 7 50 7 39 7 29 7 13 6 59 6 45 6 32 6 18 6 02 5 52 5 42

9 10 06 9 40 9 20 9 03 8 50 8 38 8 18 8 00 7 44 7 27 7 10 6 50 6 38 6 25

10 11 22 10 52 10 30 10 11 9 56 9 43 9 20 9 01 8 43 8 24 8 05 7 42 7 29 7 14

11 12 24 11 53 11 30 11 11 10 56 10 42 10 19 9 59 9 41 9 22 9 02 8 39 8 25 8 09

12 13 10 12 41 12 20 12 03 11 48 11 35 11 13 10 54 10 36 10 18 9 59 9 37 9 24 9 09

13 13 43 13 19 13 00 12 45 12 32 12 21 12 01 11 44 11 29 11 13 10 55 10 36 10 24 10 11

14 14 07 13 48 13 33 13 21 13 10 13 01 12 45 12 30 12 17 12 04 11 50 11 33 11 23 11 12

15 14 25 14 11 14 00 13 51 13 43 13 36 13 24 13 13 13 03 12 52 12 41 12 29 12 21 12 13

16 14 40 14 31 14 24 14 18 14 12 14 08 13 59 13 52 13 45 13 38 13 31 13 23 13 18 13 12

17 14 53 14 49 14 45 14 42 14 40 14 37 14 33 14 30 14 26 14 23 14 20 14 15 14 13 14 10

18 15 05 15 05 15 05 15 06 15 06 15 06 15 06 15 07 15 07 15 07 15 07 15 08 15 08 15 08

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 6 06 6 02 5 58 5 54 5 50 5 45 5 40 5 35 5 28 5 21 5 13 5 04 4 54 4 41

25 6 36 6 32 6 27 6 21 6 15 6 09 6 02 5 54 5 46 5 36 5 25 5 12 4 57 4 38

26 7 11 7 06 7 00 6 53 6 46 6 38 6 29 6 19 6 08 5 56 5 41 5 24 5 03 4 35

27 7 53 7 46 7 39 7 32 7 23 7 14 7 04 6 53 6 40 6 24 6 06 5 44 5 16 4 33

28 8 42 8 35 8 27 8 19 8 10 8 00 7 49 7 37 7 23 7 06 6 46 6 20 5 45 4 38

29 9 38 9 31 9 24 9 16 9 07 8 57 8 46 8 34 8 20 8 03 7 43 7 18 6 43 5 39

30 10 41 10 35 10 28 10 21 10 13 10 04 9 54 9 43 9 31 9 16 8 59 8 38 8 11 7 32

May 1 11 49 11 44 11 38 11 32 11 26 11 19 11 11 11 02 10 52 10 41 10 28 10 12 9 53 9 29

2 13 00 12 56 12 52 12 48 12 43 12 38 12 32 12 26 12 19 12 11 12 02 11 52 11 39 11 25

3 14 13 14 11 14 08 14 06 14 03 14 00 13 57 13 53 13 49 13 44 13 39 13 33 13 27 13 19

4 15 27 15 26 15 26 15 25 15 24 15 23 15 22 15 21 15 20 15 19 15 17 15 16 15 14 15 12

5 16 42 16 43 16 44 16 45 16 46 16 48 16 49 16 51 16 53 16 55 16 57 16 59 17 02 17 06

6 17 58 18 01 18 03 18 06 18 10 18 13 18 17 18 22 18 26 18 32 18 38 18 45 18 53 19 02

7 19 14 19 18 19 23 19 28 19 33 19 39 19 45 19 52 20 00 20 09 20 20 20 32 20 46 21 03

8 20 29 20 35 20 41 20 47 20 54 21 02 21 11 21 21 21 32 21 44 21 59 22 17 22 40 23 09

9 21 40 21 47 21 54 22 02 22 10 22 20 22 30 22 42 22 55 23 11 23 30 23 54 . . . . . . . .

10 22 44 22 51 22 59 23 07 23 16 23 27 23 38 23 51 . . . . . . . . . . . . . . . . 0 26 1 19

11 23 40 23 47 23 54 . . . . . . . . . . . . . . . . . . . . 0 05 0 23 0 44 1 11 1 50

12 . . . . . . . . . . . . 0 02 0 11 0 21 0 32 0 44 0 58 1 15 1 35 2 00 2 34 3 36

13 0 26 0 32 0 39 0 46 0 54 1 03 1 13 1 24 1 36 1 50 2 07 2 27 2 53 3 29

14 1 05 1 10 1 16 1 22 1 28 1 36 1 44 1 53 2 03 2 14 2 27 2 42 3 01 3 24

15 1 37 1 42 1 46 1 51 1 56 2 01 2 08 2 14 2 22 2 30 2 40 2 51 3 04 3 19

16 2 06 2 09 2 12 2 15 2 19 2 23 2 27 2 32 2 37 2 43 2 49 2 57 3 05 3 15

17 2 31 2 33 2 35 2 37 2 39 2 41 2 44 2 46 2 49 2 53 2 57 3 01 3 06 3 11

18 2 55 2 55 2 56 2 57 2 57 2 58 2 59 3 00 3 01 3 02 3 03 3 04 3 06 3 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

Apr. 24 20 13 20 17 20 22 20 27 20 32 20 38 20 44 20 52 21 00 21 09 21 19 21 31 21 46 22 03

25 21 14 21 19 21 25 21 31 21 38 21 46 21 54 22 03 22 14 22 26 22 40 22 57 23 17 23 44

26 22 14 22 21 22 28 22 35 22 43 22 52 23 02 23 13 23 26 23 41 23 58 . . . . . . . . . . . .

27 23 13 23 20 23 28 23 36 23 44 23 54 . . . . . . . . . . . . . . . . . . . . 0 20 0 48 1 30

28 . . . . . . . . . . . . . . . . . . . . . . . . 0 05 0 18 0 32 0 48 1 08 1 34 2 09 3 16

29 0 08 0 15 0 23 0 31 0 40 0 50 1 01 1 13 1 27 1 44 2 04 2 29 3 04 4 08

30 0 58 1 05 1 12 1 19 1 27 1 36 1 46 1 58 2 10 2 25 2 43 3 04 3 32 4 11

May 1 1 42 1 48 1 54 2 00 2 07 2 15 2 23 2 32 2 43 2 55 3 08 3 25 3 44 4 09

2 2 21 2 25 2 30 2 35 2 40 2 46 2 52 2 59 3 07 3 16 3 26 3 37 3 50 4 06

3 2 56 2 59 3 02 3 05 3 09 3 12 3 17 3 21 3 26 3 32 3 38 3 45 3 53 4 03

4 3 28 3 29 3 31 3 32 3 34 3 36 3 38 3 40 3 42 3 45 3 48 3 51 3 55 3 59

5 3 59 3 59 3 59 3 58 3 58 3 58 3 58 3 58 3 57 3 57 3 57 3 56 3 56 3 55

6 4 31 4 29 4 27 4 25 4 23 4 21 4 18 4 16 4 13 4 09 4 06 4 01 3 57 3 51

7 5 04 5 01 4 58 4 54 4 50 4 45 4 41 4 35 4 30 4 23 4 16 4 08 3 58 3 47

8 5 42 5 37 5 32 5 27 5 21 5 14 5 07 5 00 4 51 4 41 4 30 4 17 4 02 3 43

9 6 25 6 19 6 12 6 05 5 58 5 50 5 41 5 30 5 19 5 06 4 50 4 32 4 09 3 38

10 7 14 7 07 7 00 6 52 6 43 6 34 6 23 6 11 5 57 5 41 5 21 4 57 4 25 3 32

11 8 09 8 02 7 54 7 46 7 37 7 27 7 16 7 03 6 48 6 31 6 09 5 42 5 04

12 9 09 9 02 8 55 8 47 8 38 8 28 8 18 8 05 7 52 7 35 7 15 6 50 6 16 5 15

13 10 11 10 05 9 58 9 51 9 43 9 35 9 26 9 15 9 03 8 49 8 33 8 13 7 48 7 13

14 11 12 11 07 11 02 10 56 10 50 10 43 10 36 10 27 10 18 10 07 9 55 9 40 9 22 9 00

15 12 13 12 09 12 05 12 01 11 56 11 51 11 46 11 39 11 33 11 25 11 16 11 06 10 54 10 39

16 13 12 13 10 13 07 13 04 13 01 12 58 12 54 12 50 12 46 12 41 12 35 12 29 12 21 12 12

17 14 10 14 09 14 08 14 06 14 05 14 03 14 02 14 00 13 57 13 55 13 52 13 49 13 46 13 42

18 15 08 15 08 15 08 15 08 15 08 15 08 15 08 15 08 15 09 15 09 15 09 15 09 15 09 15 09

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
44 MOONRISE AND MOONSET, 2020

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 1 25 1 32 1 38 1 42 1 46 1 50 1 56 2 02 2 07 2 12 2 17 2 23 2 27 2 31

18 2 35 2 37 2 39 2 40 2 41 2 42 2 44 2 46 2 47 2 49 2 51 2 53 2 54 2 55

19 3 45 3 42 3 40 3 38 3 36 3 35 3 32 3 30 3 28 3 26 3 24 3 21 3 20 3 18

20 4 56 4 48 4 41 4 36 4 31 4 27 4 21 4 14 4 09 4 03 3 57 3 51 3 47 3 43

21 6 08 5 55 5 44 5 35 5 28 5 22 5 10 5 01 4 51 4 42 4 33 4 22 4 16 4 09

22 7 22 7 03 6 48 6 36 6 26 6 17 6 02 5 49 5 36 5 24 5 11 4 56 4 48 4 38

23 8 36 8 12 7 53 7 38 7 25 7 14 6 56 6 39 6 24 6 09 5 53 5 34 5 24 5 12

24 9 47 9 19 8 57 8 40 8 25 8 12 7 51 7 32 7 15 6 57 6 39 6 18 6 05 5 51

25 10 52 10 21 9 58 9 39 9 23 9 10 8 47 8 27 8 08 7 49 7 30 7 07 6 53 6 38

26 11 46 11 15 10 52 10 34 10 18 10 04 9 41 9 22 9 03 8 44 8 24 8 01 7 48 7 32

27 12 28 12 00 11 39 11 22 11 08 10 56 10 34 10 16 9 58 9 41 9 22 9 01 8 48 8 33

28 12 59 12 37 12 19 12 05 11 53 11 42 11 24 11 08 10 53 10 38 10 22 10 03 9 52 9 40

29 13 23 13 06 12 53 12 42 12 33 12 25 12 10 11 58 11 46 11 34 11 22 11 07 10 59 10 49

30 13 42 13 31 13 23 13 15 13 09 13 04 12 54 12 46 12 38 12 30 12 21 12 11 12 06 11 59

31 13 59 13 54 13 50 13 46 13 43 13 41 13 36 13 32 13 28 13 25 13 21 13 16 13 14 13 11

June 1 14 14 14 15 14 15 14 16 14 16 14 17 14 18 14 18 14 19 14 20 14 21 14 21 14 22 14 23

2 14 30 14 37 14 42 14 46 14 50 14 54 15 00 15 05 15 10 15 16 15 21 15 28 15 31 15 36

3 14 48 15 01 15 11 15 19 15 26 15 33 15 44 15 54 16 04 16 13 16 23 16 35 16 42 16 50

4 15 10 15 29 15 44 15 56 16 07 16 16 16 32 16 46 16 59 17 13 17 27 17 43 17 53 18 04

5 15 39 16 04 16 23 16 38 16 52 17 03 17 23 17 41 17 57 18 13 18 31 18 51 19 03 19 17

6 16 19 16 48 17 10 17 28 17 43 17 56 18 18 18 38 18 56 19 14 19 34 19 57 20 10 20 26

7 17 11 17 41 18 05 18 23 18 39 18 53 19 16 19 36 19 55 20 14 20 34 20 57 21 11 21 26

8 18 15 18 44 19 06 19 24 19 39 19 52 20 14 20 34 20 51 21 09 21 28 21 51 22 03 22 18

9 19 27 19 52 20 12 20 27 20 40 20 52 21 12 21 29 21 45 22 01 22 18 22 37 22 48 23 01

10 20 42 21 02 21 17 21 30 21 41 21 51 22 07 22 21 22 34 22 47 23 01 23 17 23 26 23 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

May 17 14 53 14 49 14 45 14 42 14 40 14 37 14 33 14 30 14 26 14 23 14 20 14 15 14 13 14 10

18 15 05 15 05 15 05 15 06 15 06 15 06 15 06 15 07 15 07 15 07 15 07 15 08 15 08 15 08

19 15 17 15 22 15 26 15 29 15 32 15 35 15 40 15 44 15 47 15 51 15 55 16 00 16 03 16 06

20 15 30 15 40 15 48 15 54 16 00 16 05 16 14 16 22 16 29 16 37 16 44 16 53 16 59 17 05

21 15 45 16 00 16 12 16 22 16 30 16 38 16 51 17 02 17 13 17 24 17 35 17 48 17 56 18 05

22 16 04 16 24 16 40 16 53 17 04 17 14 17 30 17 45 17 59 18 13 18 28 18 45 18 55 19 06

23 16 29 16 54 17 13 17 29 17 43 17 54 18 14 18 32 18 48 19 04 19 22 19 42 19 54 20 08

24 17 03 17 32 17 54 18 12 18 27 18 40 19 03 19 22 19 40 19 58 20 18 20 40 20 53 21 08

25 17 49 18 20 18 44 19 03 19 18 19 32 19 55 20 15 20 34 20 53 21 13 21 36 21 50 22 05

26 18 49 19 19 19 42 20 00 20 16 20 29 20 52 21 11 21 29 21 48 22 07 22 29 22 42 22 57

27 20 01 20 28 20 48 21 04 21 18 21 30 21 50 22 08 22 24 22 41 22 58 23 18 23 30 23 43

28 21 22 21 43 21 59 22 12 22 24 22 33 22 50 23 05 23 18 23 32 23 46 . . . . . . . . . . . .

29 22 46 23 01 23 13 23 22 23 31 23 38 23 50 . . . . . . . . . . . . . . . . 0 02 0 12 0 23

30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 01 0 11 0 21 0 31 0 43 0 50 0 58

31 0 12 0 21 0 28 0 33 0 38 0 42 0 50 0 56 1 02 1 08 1 14 1 21 1 25 1 29

June 1 1 39 1 41 1 43 1 45 1 46 1 47 1 49 1 51 1 52 1 54 1 55 1 57 1 58 1 59

2 3 07 3 03 3 00 2 57 2 55 2 53 2 49 2 46 2 43 2 40 2 37 2 34 2 32 2 29

3 4 36 4 26 4 18 4 11 4 05 4 00 3 51 3 43 3 35 3 28 3 20 3 11 3 06 3 01

4 6 07 5 50 5 36 5 25 5 16 5 08 4 53 4 41 4 30 4 18 4 06 3 52 3 44 3 35

5 7 35 7 12 6 54 6 39 6 27 6 16 5 57 5 41 5 26 5 11 4 56 4 37 4 27 4 15

6 8 58 8 29 8 08 7 50 7 36 7 23 7 01 6 43 6 25 6 08 5 49 5 27 5 15 5 00

7 10 08 9 37 9 14 8 55 8 40 8 26 8 03 7 43 7 24 7 06 6 46 6 22 6 09 5 53

8 11 02 10 33 10 10 9 52 9 37 9 23 9 01 8 41 8 22 8 04 7 44 7 21 7 07 6 52

9 11 42 11 16 10 56 10 39 10 25 10 13 9 53 9 34 9 17 9 00 8 42 8 21 8 08 7 54

10 12 10 11 49 11 32 11 19 11 07 10 57 10 39 10 23 10 09 9 54 9 38 9 20 9 10 8 58

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 2 31 2 33 2 35 2 37 2 39 2 41 2 44 2 46 2 49 2 53 2 57 3 01 3 06 3 11

18 2 55 2 55 2 56 2 57 2 57 2 58 2 59 3 00 3 01 3 02 3 03 3 04 3 06 3 07

19 3 18 3 18 3 17 3 16 3 15 3 15 3 14 3 13 3 11 3 10 3 09 3 07 3 05 3 03

20 3 43 3 41 3 39 3 37 3 34 3 32 3 29 3 26 3 23 3 19 3 15 3 11 3 05 2 59

21 4 09 4 06 4 02 3 59 3 55 3 51 3 46 3 41 3 36 3 30 3 23 3 15 3 06 2 55

22 4 38 4 34 4 29 4 24 4 19 4 13 4 06 3 59 3 52 3 43 3 33 3 21 3 08 2 52

23 5 12 5 06 5 00 4 54 4 47 4 40 4 32 4 23 4 12 4 01 3 47 3 31 3 12 2 48

24 5 51 5 45 5 38 5 31 5 23 5 14 5 04 4 53 4 40 4 26 4 09 3 48 3 22 2 44

25 6 38 6 31 6 24 6 15 6 07 5 57 5 46 5 34 5 19 5 03 4 43 4 18 3 44 2 42

26 7 32 7 25 7 18 7 10 7 01 6 51 6 39 6 27 6 12 5 55 5 35 5 09 4 32 3 12

27 8 33 8 27 8 20 8 12 8 04 7 55 7 44 7 33 7 20 7 04 6 46 6 23 5 52 5 05

28 9 40 9 34 9 28 9 22 9 15 9 07 8 58 8 49 8 38 8 25 8 11 7 53 7 31 7 03

29 10 49 10 45 10 40 10 35 10 30 10 24 10 17 10 10 10 02 9 53 9 42 9 30 9 16 8 58

30 11 59 11 57 11 53 11 50 11 47 11 43 11 39 11 34 11 29 11 23 11 16 11 09 11 00 10 50

31 13 11 13 09 13 08 13 06 13 05 13 03 13 01 12 59 12 57 12 54 12 51 12 48 12 44 12 40

June 1 14 23 14 23 14 23 14 23 14 24 14 24 14 25 14 25 14 26 14 26 14 27 14 27 14 28 14 29

2 15 36 15 37 15 39 15 42 15 44 15 47 15 49 15 52 15 56 16 00 16 04 16 09 16 14 16 21

3 16 50 16 53 16 57 17 01 17 05 17 10 17 15 17 21 17 27 17 35 17 43 17 52 18 03 18 17

4 18 04 18 09 18 15 18 20 18 27 18 34 18 41 18 50 18 59 19 10 19 23 19 37 19 55 20 18

5 19 17 19 23 19 30 19 37 19 45 19 54 20 04 20 15 20 27 20 42 20 59 21 20 21 47 22 26

6 20 26 20 33 20 40 20 48 20 57 21 07 21 18 21 31 21 45 22 02 22 23 22 49 23 26 . . . .

7 21 26 21 34 21 41 21 50 21 59 22 09 22 20 22 33 22 48 23 05 23 26 23 53 . . . . 0 47

8 22 18 22 25 22 32 22 40 22 48 22 58 23 08 23 20 23 33 23 49 . . . . . . . . 0 32

9 23 01 23 07 23 13 23 20 23 27 23 35 23 44 23 54 . . . . . . . . 0 07 0 30 1 00 1 47

10 23 37 23 42 23 47 23 52 23 58 . . . . . . . . . . . . 0 05 0 18 0 32 0 50 1 12 1 40

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 14 10 14 09 14 08 14 06 14 05 14 03 14 02 14 00 13 57 13 55 13 52 13 49 13 46 13 42

18 15 08 15 08 15 08 15 08 15 08 15 08 15 08 15 08 15 09 15 09 15 09 15 09 15 09 15 09

19 16 06 16 07 16 09 16 10 16 12 16 14 16 15 16 18 16 20 16 23 16 26 16 29 16 33 16 37

20 17 05 17 07 17 10 17 13 17 16 17 20 17 24 17 28 17 33 17 38 17 44 17 51 17 59 18 08

21 18 05 18 08 18 13 18 17 18 22 18 27 18 33 18 40 18 47 18 55 19 04 19 15 19 27 19 43

22 19 06 19 11 19 16 19 22 19 29 19 36 19 44 19 52 20 02 20 13 20 26 20 41 21 00 21 23

23 20 08 20 14 20 20 20 27 20 35 20 44 20 53 21 04 21 16 21 30 21 47 22 07 22 33 23 10

24 21 08 21 15 21 22 21 30 21 39 21 49 21 59 22 12 22 26 22 42 23 02 23 27 . . . . . . . .

25 22 05 22 12 22 20 22 28 22 37 22 47 22 58 23 11 23 25 23 43 . . . . . . . . 0 01 1 02

26 22 57 23 04 23 11 23 19 23 28 23 37 23 47 23 59 . . . . . . . . 0 03 0 30 1 06 2 26

27 23 43 23 49 23 55 . . . . . . . . . . . . . . . . . . . . 0 13 0 28 0 47 1 10 1 41 2 29

28 . . . . . . . . . . . . 0 02 0 09 0 18 0 27 0 37 0 48 1 01 1 16 1 34 1 56 2 26

29 0 23 0 27 0 32 0 38 0 44 0 50 0 57 1 05 1 14 1 24 1 35 1 48 2 03 2 22

30 0 58 1 01 1 05 1 09 1 13 1 17 1 22 1 28 1 34 1 40 1 48 1 57 2 07 2 18

31 1 29 1 31 1 33 1 36 1 38 1 41 1 44 1 47 1 50 1 54 1 58 2 03 2 08 2 14

June 1 1 59 2 00 2 00 2 01 2 02 2 02 2 03 2 04 2 04 2 05 2 06 2 08 2 09 2 10

2 2 29 2 28 2 27 2 26 2 25 2 23 2 22 2 20 2 19 2 17 2 15 2 12 2 09 2 06

3 3 01 2 58 2 55 2 52 2 49 2 46 2 42 2 38 2 34 2 29 2 24 2 17 2 10 2 02

4 3 35 3 31 3 27 3 22 3 17 3 12 3 06 2 59 2 52 2 44 2 35 2 24 2 12 1 57

5 4 15 4 09 4 03 3 57 3 50 3 43 3 35 3 26 3 16 3 04 2 51 2 35 2 16 1 53

6 5 00 4 54 4 47 4 39 4 31 4 22 4 12 4 01 3 48 3 33 3 15 2 54 2 26 1 47

7 5 53 5 46 5 38 5 30 5 21 5 11 5 00 4 47 4 32 4 15 3 55 3 28 2 51 1 30

8 6 52 6 45 6 37 6 29 6 20 6 10 5 58 5 46 5 31 5 14 4 53 4 26 3 48

9 7 54 7 48 7 41 7 33 7 25 7 16 7 06 6 54 6 41 6 26 6 08 5 45 5 15 4 30

10 8 58 8 52 8 46 8 40 8 33 8 25 8 17 8 08 7 57 7 45 7 30 7 13 6 52 6 25

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
46 MOONRISE AND MOONSET, 2020

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 18 15 18 44 19 06 19 24 19 39 19 52 20 14 20 34 20 51 21 09 21 28 21 51 22 03 22 18

9 19 27 19 52 20 12 20 27 20 40 20 52 21 12 21 29 21 45 22 01 22 18 22 37 22 48 23 01

10 20 42 21 02 21 17 21 30 21 41 21 51 22 07 22 21 22 34 22 47 23 01 23 17 23 26 23 37

11 21 56 22 11 22 22 22 32 22 40 22 47 22 59 23 10 23 20 23 30 23 41 23 53 23 59 . . . .

12 23 09 23 18 23 26 23 32 23 37 23 42 23 50 23 57 . . . . . . . . . . . . . . . . . . . . 0 07

13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 03 0 10 0 17 0 24 0 29 0 34

14 0 20 0 24 0 27 0 30 0 32 0 35 0 38 0 41 0 44 0 47 0 51 0 54 0 56 0 59

15 1 30 1 29 1 28 1 28 1 27 1 27 1 26 1 25 1 25 1 24 1 24 1 23 1 23 1 22

16 2 40 2 35 2 30 2 26 2 22 2 19 2 14 2 10 2 05 2 01 1 57 1 52 1 49 1 46

17 3 52 3 41 3 32 3 25 3 18 3 13 3 03 2 55 2 47 2 40 2 31 2 22 2 17 2 11

18 5 05 4 49 4 36 4 25 4 16 4 08 3 54 3 42 3 31 3 20 3 08 2 55 2 47 2 39

19 6 20 5 58 5 41 5 27 5 15 5 05 4 47 4 32 4 18 4 04 3 49 3 32 3 22 3 11

20 7 33 7 06 6 46 6 29 6 15 6 03 5 42 5 24 5 08 4 51 4 34 4 13 4 01 3 48

21 8 42 8 12 7 49 7 30 7 15 7 02 6 39 6 19 6 01 5 43 5 23 5 01 4 48 4 33

22 9 41 9 10 8 47 8 28 8 12 7 58 7 35 7 15 6 56 6 38 6 17 5 54 5 41 5 25

23 10 28 9 59 9 38 9 20 9 05 8 52 8 30 8 11 7 53 7 35 7 15 6 53 6 40 6 25

24 11 03 10 39 10 20 10 05 9 52 9 41 9 21 9 04 8 49 8 33 8 16 7 56 7 44 7 31

25 11 29 11 11 10 56 10 44 10 34 10 25 10 09 9 56 9 43 9 30 9 16 9 00 8 51 8 40

26 11 50 11 37 11 27 11 19 11 11 11 05 10 54 10 44 10 35 10 26 10 16 10 05 9 58 9 51

27 12 06 12 00 11 54 11 50 11 46 11 42 11 36 11 31 11 26 11 21 11 15 11 09 11 05 11 01

28 12 22 12 21 12 20 12 19 12 18 12 18 12 17 12 16 12 15 12 15 12 14 12 13 12 12 12 12

29 12 37 12 41 12 45 12 48 12 51 12 53 12 58 13 02 13 05 13 09 13 13 13 17 13 20 13 23

30 12 53 13 04 13 12 13 19 13 25 13 30 13 40 13 48 13 56 14 04 14 12 14 22 14 28 14 34

July 1 13 13 13 29 13 42 13 53 14 02 14 10 14 25 14 37 14 49 15 01 15 14 15 28 15 37 15 47

2 13 38 14 00 14 18 14 32 14 44 14 55 15 13 15 29 15 44 15 59 16 16 16 35 16 46 16 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

June 8 11 02 10 33 10 10 9 52 9 37 9 23 9 01 8 41 8 22 8 04 7 44 7 21 7 07 6 52

9 11 42 11 16 10 56 10 39 10 25 10 13 9 53 9 34 9 17 9 00 8 42 8 21 8 08 7 54

10 12 10 11 49 11 32 11 19 11 07 10 57 10 39 10 23 10 09 9 54 9 38 9 20 9 10 8 58

11 12 31 12 15 12 02 11 52 11 42 11 34 11 20 11 08 10 57 10 45 10 32 10 18 10 10 10 00

12 12 47 12 36 12 27 12 20 12 14 12 08 11 58 11 49 11 41 11 33 11 24 11 14 11 08 11 01

13 13 01 12 55 12 50 12 45 12 42 12 39 12 33 12 28 12 23 12 18 12 13 12 07 12 04 12 00

14 13 13 13 12 13 10 13 09 13 08 13 08 13 06 13 05 13 04 13 03 13 01 13 00 12 59 12 58

15 13 25 13 28 13 31 13 33 13 35 13 36 13 39 13 42 13 44 13 47 13 49 13 52 13 54 13 56

16 13 37 13 45 13 52 13 57 14 02 14 06 14 13 14 19 14 25 14 31 14 38 14 45 14 49 14 54

17 13 52 14 04 14 15 14 23 14 31 14 37 14 49 14 59 15 08 15 18 15 28 15 39 15 46 15 54

18 14 09 14 27 14 41 14 53 15 03 15 12 15 27 15 41 15 53 16 06 16 19 16 35 16 44 16 55

19 14 31 14 54 15 12 15 27 15 40 15 51 16 10 16 26 16 41 16 57 17 14 17 33 17 44 17 57

20 15 02 15 29 15 51 16 08 16 22 16 35 16 57 17 15 17 33 17 51 18 09 18 31 18 44 18 59

21 15 44 16 14 16 38 16 56 17 12 17 25 17 49 18 09 18 27 18 46 19 06 19 29 19 43 19 58

22 16 40 17 11 17 34 17 53 18 08 18 22 18 45 19 05 19 23 19 42 20 02 20 24 20 38 20 53

23 17 49 18 17 18 39 18 56 19 10 19 23 19 44 20 02 20 20 20 37 20 55 21 16 21 28 21 42

24 19 09 19 32 19 49 20 04 20 16 20 26 20 45 21 00 21 15 21 29 21 45 22 02 22 12 22 24

25 20 33 20 50 21 03 21 14 21 23 21 31 21 45 21 57 22 08 22 19 22 31 22 44 22 52 23 00

26 21 59 22 09 22 18 22 24 22 30 22 36 22 44 22 52 22 59 23 06 23 14 23 22 23 27 23 33

27 23 25 23 29 23 32 23 35 23 37 23 40 23 43 23 46 23 49 23 52 23 55 23 59 . . . . . . . .

28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 01 0 03

29 0 50 0 48 0 47 0 46 0 44 0 44 0 42 0 40 0 39 0 37 0 36 0 34 0 33 0 32

30 2 17 2 09 2 02 1 57 1 52 1 48 1 41 1 35 1 29 1 23 1 17 1 10 1 06 1 02

July 1 3 44 3 30 3 18 3 09 3 01 2 54 2 41 2 31 2 21 2 11 2 00 1 48 1 42 1 34

2 5 11 4 50 4 34 4 21 4 10 4 00 3 43 3 29 3 15 3 01 2 47 2 30 2 21 2 10

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 22 18 22 25 22 32 22 40 22 48 22 58 23 08 23 20 23 33 23 49 . . . . . . . . 0 32

9 23 01 23 07 23 13 23 20 23 27 23 35 23 44 23 54 . . . . . . . . 0 07 0 30 1 00 1 47

10 23 37 23 42 23 47 23 52 23 58 . . . . . . . . . . . . 0 05 0 18 0 32 0 50 1 12 1 40

11 . . . . . . . . . . . . . . . . . . . . 0 04 0 11 0 19 0 28 0 37 0 48 1 01 1 16 1 35

12 0 07 0 11 0 15 0 19 0 23 0 27 0 33 0 38 0 44 0 51 0 59 1 08 1 18 1 30

13 0 34 0 36 0 39 0 41 0 44 0 47 0 50 0 54 0 58 1 02 1 07 1 12 1 19 1 26

14 0 59 1 00 1 01 1 02 1 03 1 04 1 06 1 08 1 09 1 11 1 13 1 16 1 19 1 22

15 1 22 1 22 1 22 1 21 1 21 1 21 1 21 1 20 1 20 1 20 1 19 1 19 1 18 1 18

16 1 46 1 44 1 43 1 41 1 40 1 38 1 36 1 34 1 31 1 28 1 25 1 22 1 18 1 14

17 2 11 2 08 2 06 2 03 1 59 1 56 1 52 1 48 1 43 1 38 1 32 1 26 1 18 1 10

18 2 39 2 35 2 31 2 26 2 22 2 16 2 11 2 05 1 58 1 50 1 41 1 31 1 20 1 06

19 3 11 3 06 3 00 2 54 2 48 2 41 2 34 2 26 2 16 2 06 1 54 1 40 1 23 1 02

20 3 48 3 42 3 35 3 28 3 21 3 13 3 03 2 53 2 41 2 28 2 12 1 53 1 30 0 58

21 4 33 4 26 4 18 4 11 4 02 3 52 3 42 3 30 3 16 3 00 2 41 2 17 1 46 0 55

22 5 25 5 18 5 10 5 02 4 53 4 43 4 32 4 19 4 05 3 48 3 27 3 00 2 23 1 00

23 6 25 6 18 6 11 6 03 5 55 5 45 5 34 5 22 5 08 4 52 4 33 4 08 3 35 2 38

24 7 31 7 25 7 19 7 12 7 04 6 56 6 47 6 37 6 25 6 11 5 55 5 36 5 12 4 38

25 8 40 8 36 8 31 8 25 8 19 8 13 8 05 7 58 7 49 7 38 7 27 7 13 6 56 6 36

26 9 51 9 48 9 44 9 40 9 36 9 32 9 27 9 21 9 15 9 08 9 01 8 52 8 42 8 29

27 11 01 11 00 10 58 10 56 10 53 10 51 10 48 10 46 10 42 10 39 10 35 10 30 10 25 10 19

28 12 12 12 12 12 11 12 11 12 11 12 11 12 10 12 10 12 09 12 09 12 08 12 08 12 07 12 06

29 13 23 13 24 13 26 13 27 13 29 13 30 13 32 13 35 13 37 13 40 13 42 13 46 13 50 13 54

30 14 34 14 37 14 40 14 44 14 47 14 51 14 55 15 00 15 05 15 11 15 18 15 26 15 34 15 45

July 1 15 47 15 51 15 56 16 01 16 06 16 12 16 19 16 26 16 35 16 44 16 55 17 07 17 22 17 41

2 16 59 17 04 17 10 17 17 17 24 17 32 17 41 17 51 18 02 18 15 18 30 18 49 19 12 19 42

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 6 52 6 45 6 37 6 29 6 20 6 10 5 58 5 46 5 31 5 14 4 53 4 26 3 48

9 7 54 7 48 7 41 7 33 7 25 7 16 7 06 6 54 6 41 6 26 6 08 5 45 5 15 4 30

10 8 58 8 52 8 46 8 40 8 33 8 25 8 17 8 08 7 57 7 45 7 30 7 13 6 52 6 25

11 10 00 9 56 9 51 9 46 9 41 9 35 9 29 9 21 9 13 9 04 8 54 8 42 8 28 8 10

12 11 01 10 58 10 55 10 51 10 47 10 43 10 39 10 34 10 29 10 22 10 16 10 08 9 58 9 47

13 12 00 11 58 11 56 11 54 11 52 11 50 11 48 11 45 11 42 11 38 11 34 11 30 11 25 11 19

14 12 58 12 58 12 57 12 57 12 56 12 55 12 55 12 54 12 53 12 52 12 51 12 50 12 49 12 48

15 13 56 13 57 13 57 13 58 13 59 14 01 14 02 14 03 14 05 14 06 14 08 14 10 14 13 14 15

16 14 54 14 56 14 58 15 01 15 03 15 06 15 09 15 13 15 17 15 21 15 26 15 31 15 37 15 45

17 15 54 15 57 16 01 16 04 16 09 16 13 16 18 16 24 16 30 16 37 16 45 16 54 17 05 17 17

18 16 55 16 59 17 04 17 09 17 15 17 22 17 29 17 36 17 45 17 55 18 06 18 20 18 36 18 56

19 17 57 18 02 18 09 18 15 18 23 18 31 18 39 18 49 19 01 19 14 19 29 19 47 20 10 20 41

20 18 59 19 05 19 12 19 20 19 28 19 38 19 48 20 00 20 13 20 29 20 48 21 11 21 43 22 33

21 19 58 20 05 20 13 20 21 20 30 20 40 20 51 21 04 21 18 21 35 21 56 22 22 23 00 . . . .

22 20 53 21 00 21 07 21 15 21 24 21 34 21 45 21 57 22 11 22 27 22 47 23 12 23 45 0 23

23 21 42 21 48 21 55 22 02 22 10 22 18 22 28 22 39 22 51 23 05 23 21 23 41 . . . . 0 43

24 22 24 22 29 22 34 22 40 22 47 22 54 23 01 23 10 23 20 23 30 23 43 23 57 0 06 0 40

25 23 00 23 04 23 08 23 13 23 17 23 23 23 28 23 34 23 41 23 49 23 57 . . . . 0 15 0 36

26 23 33 23 35 23 38 23 41 23 44 23 47 23 50 23 54 23 58 . . . . . . . . 0 07 0 19 0 32

27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 03 0 08 0 14 0 21 0 28

28 0 03 0 04 0 05 0 06 0 07 0 08 0 10 0 11 0 13 0 15 0 17 0 19 0 22 0 24

29 0 32 0 31 0 31 0 30 0 30 0 29 0 28 0 27 0 27 0 26 0 25 0 23 0 22 0 20

30 1 02 1 00 0 58 0 55 0 53 0 50 0 47 0 44 0 41 0 37 0 33 0 28 0 22 0 16

July 1 1 34 1 30 1 27 1 23 1 18 1 14 1 09 1 03 0 57 0 50 0 43 0 34 0 24 0 12

2 2 10 2 05 2 00 1 54 1 48 1 42 1 34 1 26 1 18 1 07 0 56 0 43 0 27 0 07

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
48 MOONRISE AND MOONSET, 2020

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 13 13 13 29 13 42 13 53 14 02 14 10 14 25 14 37 14 49 15 01 15 14 15 28 15 37 15 47

2 13 38 14 00 14 18 14 32 14 44 14 55 15 13 15 29 15 44 15 59 16 16 16 35 16 46 16 59

3 14 12 14 39 15 00 15 17 15 31 15 44 16 05 16 24 16 42 16 59 17 18 17 40 17 53 18 08

4 14 57 15 28 15 51 16 09 16 25 16 38 17 01 17 21 17 40 17 59 18 19 18 42 18 56 19 12

5 15 56 16 26 16 49 17 08 17 23 17 37 17 59 18 19 18 38 18 56 19 16 19 39 19 52 20 07

6 17 05 17 33 17 54 18 10 18 24 18 37 18 58 19 16 19 33 19 50 20 08 20 29 20 41 20 55

7 18 20 18 43 19 00 19 14 19 26 19 37 19 55 20 10 20 25 20 39 20 54 21 12 21 22 21 34

8 19 36 19 53 20 06 20 17 20 27 20 35 20 49 21 01 21 13 21 24 21 36 21 50 21 58 22 07

9 20 51 21 02 21 11 21 19 21 25 21 31 21 41 21 49 21 57 22 05 22 14 22 23 22 29 22 35

10 22 03 22 09 22 14 22 18 22 22 22 25 22 31 22 35 22 40 22 44 22 49 22 54 22 57 23 01

11 23 14 23 15 23 16 23 17 23 17 23 18 23 19 23 20 23 21 23 21 23 22 23 23 23 24 23 25

12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 58 23 55 23 52 23 50 23 48

13 0 24 0 20 0 17 0 15 0 12 0 10 0 07 0 04 0 01 . . . . . . . . . . . . . . . . . . . .

14 1 35 1 26 1 19 1 13 1 08 1 03 0 55 0 48 0 42 0 36 0 29 0 22 0 17 0 13

15 2 47 2 33 2 21 2 12 2 04 1 57 1 45 1 35 1 25 1 15 1 05 0 53 0 46 0 39

16 4 01 3 41 3 26 3 13 3 02 2 53 2 37 2 23 2 10 1 57 1 43 1 28 1 19 1 09

17 5 15 4 50 4 31 4 15 4 02 3 50 3 31 3 14 2 58 2 43 2 26 2 07 1 56 1 43

18 6 26 5 57 5 35 5 17 5 02 4 49 4 27 4 08 3 50 3 32 3 14 2 52 2 39 2 25

19 7 30 6 59 6 35 6 17 6 01 5 47 5 24 5 04 4 45 4 26 4 06 3 43 3 30 3 14

20 8 23 7 53 7 30 7 12 6 56 6 43 6 20 6 00 5 42 5 24 5 04 4 41 4 28 4 12

21 9 03 8 37 8 17 8 01 7 47 7 35 7 14 6 56 6 39 6 23 6 04 5 44 5 31 5 17

22 9 33 9 12 8 56 8 43 8 32 8 22 8 05 7 50 7 36 7 22 7 06 6 49 6 39 6 27

23 9 55 9 41 9 29 9 20 9 11 9 04 8 51 8 40 8 30 8 19 8 08 7 55 7 48 7 39

24 10 13 10 05 9 58 9 52 9 47 9 43 9 35 9 28 9 22 9 16 9 09 9 01 8 57 8 52

25 10 29 10 26 10 24 10 22 10 21 10 19 10 17 10 15 10 13 10 11 10 09 10 06 10 05 10 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 1 3 44 3 30 3 18 3 09 3 01 2 54 2 41 2 31 2 21 2 11 2 00 1 48 1 42 1 34

2 5 11 4 50 4 34 4 21 4 10 4 00 3 43 3 29 3 15 3 01 2 47 2 30 2 21 2 10

3 6 35 6 09 5 48 5 32 5 18 5 06 4 46 4 28 4 11 3 55 3 37 3 17 3 05 2 52

4 7 50 7 20 6 57 6 39 6 24 6 10 5 48 5 28 5 10 4 51 4 32 4 09 3 56 3 40

5 8 51 8 21 7 58 7 39 7 23 7 10 6 47 6 27 6 08 5 49 5 29 5 06 4 52 4 36

6 9 37 9 09 8 48 8 31 8 16 8 03 7 41 7 22 7 04 6 47 6 27 6 05 5 52 5 37

7 10 10 9 47 9 29 9 14 9 01 8 50 8 31 8 14 7 58 7 42 7 25 7 06 6 54 6 41

8 10 34 10 16 10 02 9 50 9 39 9 30 9 15 9 01 8 48 8 35 8 21 8 05 7 55 7 45

9 10 53 10 40 10 29 10 20 10 13 10 06 9 54 9 44 9 34 9 25 9 14 9 02 8 55 8 47

10 11 07 10 59 10 53 10 47 10 42 10 38 10 31 10 24 10 18 10 12 10 05 9 57 9 53 9 48

11 11 20 11 17 11 14 11 12 11 10 11 08 11 05 11 02 10 59 10 57 10 54 10 51 10 49 10 47

12 11 32 11 33 11 34 11 35 11 36 11 37 11 38 11 39 11 40 11 41 11 42 11 43 11 44 11 45

13 11 44 11 50 11 55 11 59 12 03 12 06 12 11 12 16 12 21 12 25 12 30 12 36 12 39 12 43

14 11 57 12 08 12 17 12 24 12 31 12 36 12 46 12 54 13 02 13 10 13 19 13 29 13 35 13 41

15 12 13 12 29 12 42 12 52 13 01 13 09 13 23 13 35 13 46 13 58 14 10 14 24 14 32 14 41

16 12 33 12 54 13 10 13 24 13 36 13 46 14 03 14 18 14 33 14 47 15 03 15 20 15 31 15 43

17 12 59 13 25 13 45 14 02 14 15 14 28 14 48 15 06 15 23 15 40 15 58 16 18 16 31 16 45

18 13 36 14 06 14 29 14 47 15 02 15 15 15 38 15 58 16 16 16 35 16 54 17 17 17 30 17 46

19 14 27 14 58 15 22 15 40 15 56 16 10 16 33 16 53 17 12 17 31 17 51 18 14 18 28 18 43

20 15 32 16 02 16 24 16 42 16 57 17 10 17 32 17 52 18 09 18 27 18 46 19 08 19 21 19 35

21 16 50 17 15 17 35 17 50 18 03 18 15 18 34 18 51 19 06 19 22 19 38 19 57 20 08 20 21

22 18 16 18 35 18 49 19 01 19 12 19 21 19 36 19 49 20 02 20 14 20 27 20 42 20 50 21 00

23 19 43 19 56 20 06 20 14 20 21 20 27 20 37 20 47 20 55 21 03 21 12 21 22 21 28 21 35

24 21 11 21 17 21 22 21 26 21 29 21 32 21 38 21 42 21 46 21 51 21 55 22 00 22 03 22 06

25 22 38 22 37 22 37 22 37 22 37 22 37 22 37 22 37 22 36 22 36 22 36 22 36 22 36 22 35

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 15 47 15 51 15 56 16 01 16 06 16 12 16 19 16 26 16 35 16 44 16 55 17 07 17 22 17 41

2 16 59 17 04 17 10 17 17 17 24 17 32 17 41 17 51 18 02 18 15 18 30 18 49 19 12 19 42

3 18 08 18 15 18 22 18 30 18 38 18 48 18 58 19 10 19 24 19 40 19 59 20 23 20 56 21 51

4 19 12 19 19 19 26 19 35 19 44 19 54 20 05 20 18 20 33 20 51 21 12 21 39 22 19

5 20 07 20 14 20 22 20 30 20 39 20 49 21 00 21 12 21 26 21 43 22 03 22 28 23 02

6 20 55 21 01 21 08 21 15 21 23 21 31 21 41 21 52 22 04 22 18 22 34 22 54 23 20 {

00

23

04

54}

7 21 34 21 39 21 45 21 51 21 57 22 04 22 12 22 21 22 30 22 41 22 54 23 09 23 27 23 49

8 22 07 22 11 22 15 22 20 22 25 22 30 22 36 22 42 22 50 22 58 23 07 23 17 23 30 23 44

9 22 35 22 38 22 41 22 44 22 47 22 51 22 55 23 00 23 04 23 10 23 16 23 23 23 31 23 40

10 23 01 23 02 23 04 23 06 23 07 23 09 23 12 23 14 23 17 23 20 23 23 23 27 23 31 23 36

11 23 25 23 25 23 25 23 26 23 26 23 26 23 27 23 27 23 28 23 28 23 29 23 30 23 30 23 31

12 23 48 23 47 23 46 23 45 23 44 23 43 23 42 23 40 23 39 23 37 23 35 23 33 23 30 23 27

13 . . . . . . . . . . . . . . . . . . . . . . . . 23 57 23 54 23 50 23 46 23 41 23 36 23 30 23 23

14 0 13 0 10 0 08 0 06 0 03 0 00 . . . . . . . . . . . . 23 57 23 49 23 41 23 31 23 19

15 0 39 0 35 0 32 0 28 0 24 0 19 0 15 0 09 0 03 . . . . . . . . 23 47 23 33 23 15

16 1 09 1 04 0 59 0 54 0 48 0 42 0 35 0 28 0 20 0 10 0 00 23 58 23 38 23 12

17 1 43 1 38 1 32 1 25 1 18 1 10 1 02 0 52 0 42 0 29 0 15 . . . . 23 49 23 08

18 2 25 2 18 2 11 2 04 1 55 1 46 1 36 1 25 1 12 0 57 0 39 0 17 . . . . 23 07

19 3 14 3 07 3 00 2 51 2 43 2 33 2 22 2 09 1 55 1 38 1 17 0 52 0 16 . . . .

20 4 12 4 05 3 58 3 50 3 41 3 31 3 20 3 07 2 53 2 36 2 16 1 50 1 14 0 03

21 5 17 5 11 5 04 4 57 4 49 4 40 4 30 4 19 4 06 3 52 3 34 3 13 2 45 2 04

22 6 27 6 22 6 17 6 11 6 04 5 57 5 49 5 40 5 30 5 19 5 05 4 50 4 31 4 06

23 7 39 7 36 7 32 7 27 7 22 7 17 7 12 7 05 6 58 6 50 6 41 6 31 6 19 6 04

24 8 52 8 49 8 47 8 44 8 42 8 38 8 35 8 32 8 27 8 23 8 18 8 12 8 05 7 57

25 10 03 10 03 10 02 10 01 10 00 9 59 9 58 9 57 9 56 9 55 9 53 9 51 9 49 9 47

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 1 34 1 30 1 27 1 23 1 18 1 14 1 09 1 03 0 57 0 50 0 43 0 34 0 24 0 12

2 2 10 2 05 2 00 1 54 1 48 1 42 1 34 1 26 1 18 1 07 0 56 0 43 0 27 0 07

3 2 52 2 46 2 39 2 32 2 25 2 16 2 07 1 57 1 45 1 31 1 16 0 57 0 33 {

00

23

02

54}

4 3 40 3 34 3 26 3 18 3 09 3 00 2 49 2 37 2 23 2 06 1 47 1 22 0 49

5 4 36 4 29 4 21 4 13 4 04 3 54 3 42 3 29 3 15 2 57 2 36 2 08 1 29

6 5 37 5 30 5 23 5 15 5 06 4 57 4 46 4 34 4 20 4 04 3 44 3 19 2 45 1 44

7 6 41 6 35 6 28 6 22 6 14 6 06 5 56 5 46 5 34 5 21 5 05 4 45 4 20 3 46

8 7 45 7 40 7 35 7 29 7 23 7 16 7 09 7 01 6 52 6 41 6 29 6 15 5 58 5 37

9 8 47 8 44 8 40 8 36 8 31 8 27 8 21 8 15 8 09 8 02 7 53 7 44 7 32 7 19

10 9 48 9 46 9 43 9 41 9 38 9 35 9 31 9 28 9 24 9 19 9 14 9 08 9 02 8 54

11 10 47 10 46 10 45 10 44 10 42 10 41 10 40 10 38 10 37 10 35 10 32 10 30 10 27 10 24

12 11 45 11 45 11 45 11 46 11 46 11 47 11 47 11 48 11 48 11 49 11 49 11 50 11 51 11 52

13 12 43 12 44 12 46 12 48 12 50 12 52 12 54 12 57 13 00 13 03 13 06 13 10 13 15 13 21

14 13 41 13 44 13 47 13 50 13 54 13 58 14 02 14 07 14 12 14 18 14 24 14 32 14 41 14 51

15 14 41 14 45 14 50 14 54 15 00 15 05 15 11 15 18 15 26 15 35 15 45 15 56 16 10 16 26

16 15 43 15 48 15 54 16 00 16 06 16 14 16 22 16 31 16 41 16 53 17 06 17 23 17 43 18 08

17 16 45 16 51 16 58 17 05 17 13 17 22 17 32 17 43 17 55 18 10 18 27 18 49 19 17 19 57

18 17 46 17 53 18 00 18 08 18 17 18 27 18 38 18 50 19 04 19 21 19 41 20 07 20 42 21 51

19 18 43 18 50 18 58 19 06 19 15 19 25 19 36 19 49 20 03 20 20 20 40 21 06 21 42 22 53

20 19 35 19 42 19 49 19 56 20 05 20 14 20 24 20 35 20 48 21 03 21 21 21 43 22 11 22 53

21 20 21 20 26 20 32 20 39 20 46 20 53 21 02 21 11 21 22 21 34 21 48 22 04 22 24 22 49

22 21 00 21 04 21 09 21 14 21 19 21 25 21 31 21 38 21 46 21 55 22 05 22 16 22 29 22 45

23 21 35 21 38 21 41 21 44 21 47 21 51 21 55 22 00 22 05 22 11 22 17 22 24 22 32 22 41

24 22 06 22 07 22 09 22 10 22 12 22 14 22 16 22 18 22 20 22 23 22 26 22 29 22 33 22 37

25 22 35 22 35 22 35 22 35 22 35 22 35 22 35 22 35 22 34 22 34 22 34 22 34 22 34 22 33

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
50 MOONRISE AND MOONSET, 2020

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 10 13 10 05 9 58 9 52 9 47 9 43 9 35 9 28 9 22 9 16 9 09 9 01 8 57 8 52

25 10 29 10 26 10 24 10 22 10 21 10 19 10 17 10 15 10 13 10 11 10 09 10 06 10 05 10 03

26 10 44 10 47 10 50 10 52 10 53 10 55 10 58 11 00 11 03 11 05 11 08 11 11 11 12 11 14

27 11 00 11 09 11 16 11 22 11 27 11 31 11 39 11 46 11 53 12 00 12 07 12 15 12 20 12 25

28 11 18 11 33 11 44 11 54 12 02 12 10 12 23 12 34 12 45 12 55 13 07 13 20 13 28 13 37

29 11 41 12 01 12 17 12 30 12 42 12 52 13 09 13 24 13 38 13 52 14 08 14 25 14 36 14 48

30 12 11 12 36 12 56 13 12 13 26 13 38 13 59 14 17 14 34 14 50 15 09 15 30 15 42 15 56

31 12 51 13 20 13 43 14 01 14 16 14 30 14 52 15 12 15 30 15 49 16 09 16 32 16 45 17 01

Aug. 1 13 43 14 14 14 38 14 56 15 12 15 25 15 49 16 09 16 27 16 46 17 06 17 29 17 43 17 59

2 14 48 15 17 15 39 15 57 16 11 16 24 16 46 17 05 17 23 17 40 17 59 18 21 18 34 18 48

3 16 01 16 26 16 45 17 00 17 13 17 24 17 43 18 00 18 16 18 31 18 48 19 07 19 18 19 30

4 17 17 17 36 17 51 18 03 18 14 18 23 18 39 18 52 19 05 19 18 19 31 19 46 19 55 20 05

5 18 33 18 46 18 57 19 06 19 13 19 20 19 32 19 42 19 51 20 00 20 10 20 22 20 28 20 36

6 19 46 19 55 20 01 20 07 20 11 20 15 20 22 20 29 20 35 20 40 20 47 20 54 20 58 21 02

7 20 58 21 01 21 04 21 06 21 07 21 09 21 12 21 14 21 16 21 18 21 21 21 23 21 25 21 27

8 22 09 22 07 22 05 22 04 22 03 22 02 22 00 21 58 21 57 21 55 21 54 21 52 21 51 21 50

9 23 19 23 12 23 06 23 02 22 58 22 54 22 48 22 42 22 37 22 32 22 27 22 21 22 18 22 14

10 . . . . . . . . . . . . . . . . 23 53 23 47 23 37 23 28 23 19 23 11 23 02 22 52 22 46 22 39

11 0 30 0 18 0 08 0 00 . . . . . . . . . . . . . . . . . . . . 23 51 23 39 23 24 23 16 23 07

12 1 43 1 25 1 11 1 00 0 50 0 42 0 27 0 14 0 03 . . . . . . . . . . . . 23 51 23 39

13 2 56 2 33 2 15 2 01 1 48 1 38 1 19 1 04 0 49 0 34 0 19 0 01 . . . . . . . .

14 4 08 3 40 3 19 3 02 2 48 2 35 2 14 1 56 1 39 1 22 1 03 0 43 0 31 0 17

15 5 15 4 44 4 21 4 02 3 46 3 33 3 10 2 50 2 32 2 13 1 53 1 31 1 17 1 02

16 6 13 5 41 5 18 4 59 4 43 4 30 4 06 3 46 3 27 3 09 2 48 2 25 2 12 1 56

17 6 58 6 30 6 08 5 51 5 36 5 23 5 02 4 43 4 25 4 07 3 48 3 26 3 13 2 58

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 21 11 21 17 21 22 21 26 21 29 21 32 21 38 21 42 21 46 21 51 21 55 22 00 22 03 22 06

25 22 38 22 37 22 37 22 37 22 37 22 37 22 37 22 37 22 36 22 36 22 36 22 36 22 36 22 35

26 . . . . 23 58 23 52 23 48 23 45 23 41 23 36 23 31 23 26 23 22 23 17 23 12 23 08 23 05

27 0 04 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 59 23 49 23 43 23 36

28 1 30 1 18 1 08 0 59 0 52 0 46 0 35 0 26 0 17 0 09 . . . . . . . . . . . . . . . .

29 2 56 2 37 2 23 2 11 2 00 1 51 1 36 1 22 1 10 0 57 0 44 0 29 0 20 0 10

30 4 20 3 55 3 36 3 21 3 08 2 56 2 37 2 20 2 04 1 49 1 32 1 13 1 02 0 49

31 5 37 5 08 4 45 4 28 4 13 4 00 3 38 3 19 3 01 2 43 2 24 2 02 1 49 1 34

Aug. 1 6 42 6 11 5 48 5 29 5 13 5 00 4 37 4 17 3 58 3 39 3 19 2 56 2 42 2 26

2 7 33 7 03 6 41 6 23 6 08 5 55 5 32 5 13 4 54 4 36 4 16 3 53 3 40 3 24

3 8 10 7 45 7 25 7 09 6 55 6 43 6 23 6 05 5 49 5 32 5 14 4 53 4 41 4 27

4 8 37 8 17 8 01 7 47 7 36 7 26 7 09 6 54 6 40 6 25 6 10 5 53 5 42 5 30

5 8 57 8 42 8 30 8 20 8 11 8 03 7 50 7 39 7 27 7 16 7 04 6 51 6 43 6 34

6 9 13 9 03 8 55 8 48 8 42 8 37 8 28 8 20 8 12 8 05 7 56 7 47 7 42 7 35

7 9 27 9 21 9 17 9 14 9 10 9 08 9 03 8 59 8 55 8 51 8 46 8 41 8 38 8 35

8 9 39 9 38 9 38 9 38 9 37 9 37 9 37 9 36 9 36 9 35 9 35 9 34 9 34 9 34

9 9 50 9 55 9 58 10 01 10 04 10 06 10 10 10 13 10 16 10 20 10 23 10 27 10 29 10 32

10 10 03 10 12 10 19 10 25 10 31 10 35 10 43 10 51 10 57 11 04 11 11 11 20 11 24 11 30

11 10 17 10 31 10 42 10 52 11 00 11 07 11 19 11 30 11 40 11 50 12 01 12 13 12 20 12 29

12 10 35 10 54 11 09 11 21 11 32 11 41 11 57 12 11 12 25 12 38 12 52 13 08 13 18 13 29

13 10 58 11 22 11 40 11 56 12 09 12 20 12 40 12 56 13 12 13 28 13 45 14 05 14 17 14 30

14 11 29 11 58 12 19 12 37 12 52 13 05 13 27 13 46 14 04 14 22 14 41 15 03 15 16 15 31

15 12 13 12 44 13 07 13 26 13 42 13 56 14 19 14 39 14 58 15 17 15 37 16 00 16 14 16 30

16 13 11 13 42 14 06 14 24 14 40 14 53 15 16 15 36 15 55 16 13 16 33 16 56 17 09 17 24

17 14 25 14 52 15 13 15 30 15 44 15 56 16 17 16 35 16 52 17 09 17 27 17 47 17 59 18 13

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 8 52 8 49 8 47 8 44 8 42 8 38 8 35 8 32 8 27 8 23 8 18 8 12 8 05 7 57

25 10 03 10 03 10 02 10 01 10 00 9 59 9 58 9 57 9 56 9 55 9 53 9 51 9 49 9 47

26 11 14 11 15 11 16 11 17 11 18 11 20 11 21 11 22 11 24 11 26 11 28 11 30 11 32 11 35

27 12 25 12 28 12 31 12 33 12 36 12 40 12 43 12 47 12 52 12 57 13 02 13 08 13 16 13 25

28 13 37 13 41 13 45 13 49 13 54 14 00 14 06 14 12 14 20 14 28 14 37 14 48 15 01 15 17

29 14 48 14 53 14 59 15 05 15 11 15 19 15 27 15 36 15 46 15 58 16 12 16 28 16 48 17 14

30 15 56 16 03 16 10 16 17 16 25 16 34 16 45 16 56 17 09 17 24 17 42 18 04 18 34 19 18

31 17 01 17 08 17 16 17 24 17 33 17 43 17 54 18 07 18 21 18 39 19 00 19 26 20 05

Aug. 1 17 59 18 06 18 13 18 22 18 31 18 41 18 52 19 05 19 19 19 37 19 57 20 24 21 02 22 33

2 18 48 18 55 19 02 19 10 19 18 19 27 19 37 19 49 20 02 20 17 20 35 20 57 21 26 22 09

3 19 30 19 36 19 42 19 48 19 56 20 03 20 12 20 21 20 32 20 44 20 59 21 15 21 36 22 02

4 20 05 20 10 20 15 20 20 20 25 20 32 20 38 20 46 20 54 21 03 21 14 21 26 21 40 21 57

5 20 36 20 39 20 42 20 46 20 50 20 54 20 59 21 04 21 10 21 17 21 24 21 32 21 42 21 53

6 21 02 21 04 21 06 21 09 21 11 21 14 21 17 21 20 21 23 21 27 21 31 21 36 21 42 21 48

7 21 27 21 27 21 28 21 29 21 30 21 31 21 32 21 33 21 35 21 36 21 38 21 40 21 42 21 44

8 21 50 21 50 21 49 21 49 21 48 21 48 21 47 21 46 21 45 21 45 21 44 21 42 21 41 21 40

9 22 14 22 12 22 11 22 09 22 07 22 04 22 02 21 59 21 56 21 53 21 50 21 46 21 41 21 36

10 22 39 22 36 22 33 22 30 22 26 22 22 22 18 22 14 22 09 22 03 21 57 21 49 21 41 21 31

11 23 07 23 03 22 59 22 54 22 49 22 43 22 37 22 31 22 23 22 15 22 06 21 55 21 42 21 27

12 23 39 23 34 23 28 23 22 23 16 23 09 23 01 22 52 22 42 22 31 22 18 22 03 21 45 21 23

13 . . . . . . . . . . . . 23 57 23 49 23 40 23 31 23 20 23 08 22 54 22 38 22 18 21 53 21 19

14 0 17 0 11 0 04 . . . . . . . . . . . . . . . . 23 58 23 44 23 28 23 08 22 44 22 10 21 14

15 1 02 0 55 0 48 0 40 0 31 0 21 0 10 . . . . . . . . . . . . 23 57 23 30 22 52

16 1 56 1 49 1 41 1 33 1 24 1 14 1 02 0 50 0 35 0 18 . . . . . . . . . . . . 23 17

17 2 58 2 51 2 44 2 36 2 28 2 18 2 08 1 56 1 42 1 26 1 07 0 43 0 11 . . . .

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 22 06 22 07 22 09 22 10 22 12 22 14 22 16 22 18 22 20 22 23 22 26 22 29 22 33 22 37

25 22 35 22 35 22 35 22 35 22 35 22 35 22 35 22 35 22 34 22 34 22 34 22 34 22 34 22 33

26 23 05 23 03 23 02 23 00 22 58 22 56 22 54 22 51 22 48 22 45 22 42 22 38 22 34 22 29

27 23 36 23 33 23 30 23 26 23 22 23 18 23 14 23 09 23 04 22 58 22 51 22 44 22 35 22 25

28 . . . . . . . . . . . . 23 56 23 50 23 44 23 38 23 30 23 22 23 13 23 03 22 51 22 37 22 20

29 0 10 0 06 0 01 . . . . . . . . . . . . . . . . 23 57 23 46 23 34 23 20 23 03 22 42 22 15

30 0 49 0 43 0 37 0 31 0 23 0 16 0 07 . . . . . . . . . . . . 23 46 23 23 22 53 22 08

31 1 34 1 27 1 20 1 13 1 04 0 55 0 44 0 33 0 20 0 04 . . . . . . . . 23 21

Aug. 1 2 26 2 19 2 11 2 03 1 54 1 44 1 33 1 20 1 05 0 48 0 27 0 00 . . . . 22 52

2 3 24 3 17 3 10 3 02 2 53 2 43 2 32 2 19 2 04 1 47 1 27 1 00 0 23 . . . .

3 4 27 4 20 4 13 4 06 3 58 3 49 3 39 3 28 3 15 3 00 2 43 2 21 1 53 1 10

4 5 30 5 25 5 19 5 13 5 07 4 59 4 51 4 42 4 32 4 20 4 06 3 50 3 30 3 05

5 6 34 6 30 6 25 6 21 6 15 6 10 6 04 5 57 5 49 5 41 5 31 5 20 5 06 4 50

6 7 35 7 33 7 30 7 26 7 23 7 19 7 15 7 11 7 06 7 00 6 54 6 46 6 38 6 28

7 8 35 8 34 8 32 8 31 8 29 8 27 8 25 8 22 8 20 8 17 8 14 8 10 8 06 8 01

8 9 34 9 34 9 33 9 33 9 33 9 33 9 33 9 32 9 32 9 32 9 31 9 31 9 31 9 30

9 10 32 10 33 10 34 10 35 10 37 10 38 10 40 10 42 10 44 10 46 10 48 10 51 10 54 10 58

10 11 30 11 32 11 35 11 38 11 41 11 44 11 47 11 51 11 55 12 00 12 06 12 12 12 19 12 28

11 12 29 12 32 12 36 12 41 12 45 12 50 12 56 13 02 13 08 13 16 13 24 13 34 13 46 14 00

12 13 29 13 34 13 39 13 45 13 51 13 57 14 05 14 13 14 22 14 33 14 45 14 59 15 17 15 38

13 14 30 14 36 14 42 14 49 14 57 15 05 15 14 15 24 15 36 15 50 16 06 16 25 16 50 17 23

14 15 31 15 37 15 45 15 53 16 01 16 11 16 21 16 33 16 47 17 03 17 23 17 47 18 20 19 16

15 16 30 16 37 16 44 16 53 17 02 17 12 17 23 17 36 17 50 18 07 18 28 18 55 19 33

16 17 24 17 31 17 38 17 46 17 55 18 05 18 15 18 28 18 41 18 58 19 17 19 41 20 14 21 08

17 18 13 18 19 18 25 18 32 18 40 18 48 18 58 19 08 19 20 19 33 19 49 20 08 20 32 21 03

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
52 MOONRISE AND MOONSET, 2020

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 6 13 5 41 5 18 4 59 4 43 4 30 4 06 3 46 3 27 3 09 2 48 2 25 2 12 1 56

17 6 58 6 30 6 08 5 51 5 36 5 23 5 02 4 43 4 25 4 07 3 48 3 26 3 13 2 58

18 7 32 7 09 6 51 6 36 6 24 6 13 5 54 5 38 5 22 5 07 4 50 4 31 4 20 4 07

19 7 58 7 41 7 27 7 16 7 06 6 58 6 43 6 31 6 18 6 06 5 53 5 39 5 30 5 20

20 8 18 8 07 7 58 7 51 7 45 7 39 7 29 7 21 7 13 7 05 6 56 6 46 6 41 6 34

21 8 35 8 30 8 26 8 23 8 20 8 17 8 13 8 09 8 06 8 02 7 58 7 54 7 51 7 48

22 8 50 8 51 8 52 8 53 8 54 8 54 8 55 8 56 8 57 8 58 8 59 9 01 9 01 9 02

23 9 06 9 13 9 19 9 23 9 28 9 31 9 38 9 43 9 49 9 54 10 00 10 07 10 11 10 15

24 9 24 9 36 9 47 9 55 10 03 10 10 10 21 10 31 10 41 10 50 11 01 11 13 11 20 11 28

25 9 45 10 03 10 18 10 31 10 41 10 51 11 07 11 21 11 34 11 48 12 02 12 19 12 29 12 40

26 10 12 10 36 10 55 11 11 11 24 11 36 11 56 12 13 12 29 12 46 13 03 13 24 13 36 13 49

27 10 48 11 17 11 39 11 57 12 12 12 25 12 48 13 07 13 25 13 44 14 03 14 26 14 40 14 55

28 11 36 12 08 12 31 12 50 13 06 13 19 13 43 14 03 14 22 14 41 15 01 15 24 15 38 15 54

29 12 37 13 07 13 30 13 48 14 03 14 17 14 39 14 59 15 17 15 35 15 55 16 17 16 30 16 46

30 13 47 14 13 14 33 14 50 15 03 15 15 15 36 15 53 16 10 16 26 16 44 17 04 17 16 17 29

31 15 02 15 23 15 39 15 53 16 04 16 14 16 31 16 46 17 00 17 13 17 28 17 45 17 55 18 06

Sept. 1 16 17 16 33 16 45 16 55 17 04 17 11 17 24 17 36 17 46 17 57 18 08 18 21 18 29 18 37

2 17 31 17 42 17 50 17 56 18 02 18 07 18 16 18 23 18 31 18 38 18 45 18 54 18 59 19 04

3 18 44 18 49 18 53 18 56 18 59 19 01 19 05 19 09 19 13 19 16 19 20 19 24 19 27 19 29

4 19 55 19 55 19 55 19 54 19 54 19 54 19 54 19 54 19 54 19 53 19 53 19 53 19 53 19 53

5 21 06 21 00 20 56 20 53 20 49 20 47 20 42 20 38 20 34 20 30 20 26 20 22 20 19 20 16

6 22 17 22 06 21 58 21 51 21 45 21 39 21 30 21 23 21 15 21 08 21 00 20 51 20 46 20 41

7 23 28 23 12 23 00 22 50 22 41 22 33 22 20 22 08 21 58 21 47 21 36 21 23 21 16 21 07

8 . . . . . . . . . . . . 23 49 23 38 23 28 23 11 22 56 22 42 22 29 22 14 21 57 21 48 21 37

9 0 41 0 19 0 03 . . . . . . . . . . . . . . . . 23 46 23 30 23 13 22 56 22 36 22 25 22 11

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 13 11 13 42 14 06 14 24 14 40 14 53 15 16 15 36 15 55 16 13 16 33 16 56 17 09 17 24

17 14 25 14 52 15 13 15 30 15 44 15 56 16 17 16 35 16 52 17 09 17 27 17 47 17 59 18 13

18 15 49 16 11 16 28 16 41 16 53 17 03 17 20 17 35 17 49 18 03 18 18 18 34 18 44 18 55

19 17 18 17 33 17 45 17 55 18 04 18 11 18 23 18 34 18 45 18 55 19 05 19 17 19 24 19 32

20 18 49 18 57 19 04 19 10 19 14 19 19 19 26 19 32 19 38 19 44 19 50 19 57 20 01 20 05

21 20 19 20 21 20 22 20 24 20 25 20 26 20 27 20 29 20 30 20 32 20 33 20 34 20 35 20 36

22 21 48 21 43 21 40 21 37 21 34 21 32 21 28 21 25 21 22 21 18 21 15 21 11 21 09 21 06

23 23 16 23 06 22 57 22 50 22 44 22 38 22 29 22 21 22 13 22 06 21 58 21 49 21 43 21 37

24 . . . . . . . . . . . . . . . . 23 53 23 44 23 30 23 18 23 06 22 54 22 42 22 28 22 20 22 11

25 0 44 0 27 0 13 0 02 . . . . . . . . . . . . . . . . . . . . 23 45 23 29 23 11 23 01 22 48

26 2 09 1 46 1 28 1 13 1 01 0 50 0 31 0 15 0 00 . . . . . . . . 23 58 23 46 23 32

27 3 29 3 00 2 39 2 21 2 07 1 54 1 32 1 14 0 56 0 39 0 20 . . . . . . . . . . . .

28 4 37 4 06 3 43 3 24 3 08 2 55 2 31 2 11 1 53 1 34 1 14 0 50 0 37 0 21

29 5 31 5 01 4 38 4 19 4 04 3 50 3 27 3 07 2 48 2 30 2 10 1 46 1 33 1 17

30 6 12 5 45 5 24 5 07 4 53 4 40 4 19 4 00 3 43 3 25 3 06 2 45 2 32 2 17

31 6 41 6 19 6 01 5 47 5 35 5 24 5 05 4 49 4 34 4 19 4 03 3 44 3 33 3 20

Sept. 1 7 03 6 46 6 32 6 21 6 11 6 03 5 48 5 35 5 23 5 10 4 57 4 42 4 33 4 23

2 7 19 7 08 6 58 6 50 6 43 6 37 6 26 6 17 6 08 5 59 5 50 5 39 5 32 5 25

3 7 33 7 26 7 21 7 16 7 12 7 08 7 02 6 56 6 51 6 46 6 40 6 33 6 30 6 25

4 7 46 7 43 7 42 7 40 7 39 7 38 7 36 7 34 7 32 7 31 7 29 7 27 7 26 7 24

5 7 57 8 00 8 02 8 04 8 05 8 07 8 09 8 11 8 13 8 15 8 17 8 20 8 21 8 23

6 8 09 8 16 8 22 8 27 8 32 8 36 8 42 8 48 8 54 8 59 9 05 9 12 9 16 9 21

7 8 22 8 35 8 44 8 53 9 00 9 06 9 17 9 26 9 35 9 45 9 54 10 05 10 12 10 19

8 8 38 8 55 9 09 9 20 9 30 9 39 9 54 10 07 10 19 10 31 10 44 10 59 11 08 11 18

9 8 58 9 20 9 38 9 52 10 05 10 15 10 34 10 50 11 05 11 20 11 36 11 55 12 06 12 18

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 1 56 1 49 1 41 1 33 1 24 1 14 1 02 0 50 0 35 0 18 . . . . . . . . . . . . 23 17

17 2 58 2 51 2 44 2 36 2 28 2 18 2 08 1 56 1 42 1 26 1 07 0 43 0 11 . . . .

18 4 07 4 01 3 55 3 48 3 41 3 33 3 24 3 14 3 03 2 50 2 35 2 16 1 53 1 23

19 5 20 5 16 5 11 5 06 5 00 4 54 4 47 4 40 4 32 4 22 4 12 3 59 3 44 3 25

20 6 34 6 31 6 28 6 25 6 21 6 17 6 13 6 09 6 03 5 57 5 51 5 43 5 34 5 24

21 7 48 7 47 7 46 7 44 7 43 7 41 7 39 7 37 7 35 7 33 7 30 7 27 7 23 7 19

22 9 02 9 02 9 03 9 03 9 04 9 04 9 05 9 05 9 06 9 07 9 08 9 08 9 10 9 11

23 10 15 10 17 10 19 10 22 10 24 10 27 10 30 10 33 10 36 10 40 10 45 10 50 10 56 11 03

24 11 28 11 31 11 35 11 39 11 44 11 49 11 54 12 00 12 06 12 14 12 22 12 32 12 43 12 57

25 12 40 12 45 12 50 12 56 13 02 13 09 13 17 13 25 13 35 13 46 13 58 14 13 14 31 14 54

26 13 49 13 56 14 02 14 10 14 17 14 26 14 36 14 47 14 59 15 13 15 31 15 51 16 19 16 57

27 14 55 15 02 15 09 15 18 15 27 15 36 15 48 16 00 16 15 16 32 16 52 17 19 17 56 19 20

28 15 54 16 01 16 09 16 17 16 27 16 37 16 48 17 01 17 16 17 34 17 56 18 23 19 03

29 16 46 16 52 17 00 17 08 17 16 17 26 17 37 17 49 18 03 18 19 18 38 19 02 19 35 20 28

30 17 29 17 35 17 42 17 48 17 56 18 04 18 14 18 24 18 36 18 49 19 04 19 23 19 47 20 18

31 18 06 18 11 18 16 18 22 18 28 18 34 18 42 18 50 18 59 19 09 19 21 19 35 19 51 20 12

Sept. 1 18 37 18 41 18 45 18 49 18 53 18 58 19 04 19 10 19 17 19 24 19 32 19 42 19 53 20 06

2 19 04 19 07 19 09 19 12 19 15 19 19 19 22 19 26 19 30 19 35 19 40 19 46 19 53 20 01

3 19 29 19 31 19 32 19 33 19 35 19 36 19 38 19 40 19 42 19 44 19 47 19 50 19 53 19 57

4 19 53 19 53 19 53 19 53 19 53 19 53 19 53 19 53 19 53 19 53 19 52 19 52 19 52 19 52

5 20 16 20 15 20 14 20 12 20 11 20 09 20 07 20 05 20 03 20 01 19 58 19 55 19 52 19 48

6 20 41 20 38 20 36 20 33 20 30 20 26 20 23 20 19 20 15 20 10 20 04 19 58 19 51 19 43

7 21 07 21 03 21 00 20 55 20 51 20 46 20 40 20 34 20 28 20 20 20 12 20 02 19 51 19 38

8 21 37 21 32 21 27 21 21 21 15 21 09 21 01 20 53 20 44 20 34 20 23 20 09 19 53 19 33

9 22 11 22 06 21 59 21 52 21 45 21 37 21 28 21 18 21 06 20 53 20 38 20 20 19 57 19 28

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 17 24 17 31 17 38 17 46 17 55 18 05 18 15 18 28 18 41 18 58 19 17 19 41 20 14 21 08

17 18 13 18 19 18 25 18 32 18 40 18 48 18 58 19 08 19 20 19 33 19 49 20 08 20 32 21 03

18 18 55 19 00 19 05 19 11 19 17 19 24 19 31 19 39 19 48 19 58 20 10 20 23 20 39 20 59

19 19 32 19 36 19 39 19 43 19 48 19 52 19 57 20 03 20 09 20 16 20 24 20 32 20 42 20 54

20 20 05 20 07 20 10 20 12 20 14 20 17 20 20 20 23 20 26 20 30 20 34 20 39 20 44 20 50

21 20 36 20 37 20 37 20 38 20 38 20 39 20 39 20 40 20 41 20 41 20 42 20 43 20 44 20 46

22 21 06 21 05 21 04 21 03 21 01 21 00 20 58 20 57 20 55 20 53 20 50 20 48 20 45 20 41

23 21 37 21 35 21 32 21 29 21 26 21 22 21 19 21 14 21 10 21 05 20 59 20 53 20 45 20 37

24 22 11 22 07 22 02 21 58 21 53 21 47 21 41 21 35 21 27 21 19 21 10 20 59 20 47 20 32

25 22 48 22 43 22 37 22 31 22 24 22 17 22 09 22 00 21 50 21 38 21 25 21 09 20 50 20 26

26 23 32 23 25 23 18 23 11 23 02 22 53 22 43 22 32 22 19 22 05 21 47 21 26 20 58 20 19

27 . . . . . . . . . . . . 23 58 23 49 23 39 23 28 23 15 23 00 22 43 22 22 21 56 21 19 19 54

28 0 21 0 14 0 06 . . . . . . . . . . . . . . . . . . . . 23 55 23 37 23 16 22 48 22 08

29 1 17 1 10 1 02 0 54 0 44 0 34 0 23 0 10 . . . . . . . . . . . . . . . . 23 31 22 38

30 2 17 2 11 2 03 1 56 1 47 1 38 1 27 1 15 1 02 0 46 0 27 0 03 . . . . . . . .

31 3 20 3 14 3 08 3 01 2 54 2 46 2 37 2 28 2 16 2 03 1 48 1 30 1 07 0 37

Sept. 1 4 23 4 18 4 13 4 08 4 03 3 56 3 49 3 42 3 33 3 24 3 13 3 00 2 44 2 25

2 5 25 5 22 5 18 5 14 5 10 5 06 5 01 4 56 4 50 4 43 4 36 4 27 4 17 4 05

3 6 25 6 23 6 21 6 19 6 17 6 14 6 11 6 08 6 05 6 01 5 57 5 52 5 46 5 39

4 7 24 7 24 7 23 7 22 7 22 7 21 7 20 7 19 7 18 7 17 7 15 7 14 7 12 7 10

5 8 23 8 23 8 24 8 25 8 26 8 27 8 28 8 29 8 30 8 31 8 33 8 34 8 36 8 39

6 9 21 9 23 9 25 9 27 9 29 9 32 9 35 9 38 9 42 9 46 9 50 9 55 10 01 10 08

7 10 19 10 22 10 26 10 29 10 34 10 38 10 43 10 48 10 54 11 01 11 08 11 17 11 27 11 39

8 11 18 11 23 11 28 11 33 11 38 11 44 11 51 11 59 12 07 12 17 12 28 12 40 12 56 13 14

9 12 18 12 24 12 30 12 36 12 43 12 51 13 00 13 10 13 20 13 33 13 48 14 05 14 27 14 56

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
54 MOONRISE AND MOONSET, 2020

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 . . . . . . . . . . . . 23 49 23 38 23 28 23 11 22 56 22 42 22 29 22 14 21 57 21 48 21 37

9 0 41 0 19 0 03 . . . . . . . . . . . . . . . . 23 46 23 30 23 13 22 56 22 36 22 25 22 11

10 1 52 1 26 1 06 0 50 0 36 0 24 0 04 . . . . . . . . . . . . 23 43 23 20 23 07 22 53

11 3 01 2 30 2 08 1 49 1 34 1 21 0 58 0 38 0 20 0 02 . . . . . . . . 23 57 23 41

12 4 02 3 30 3 06 2 47 2 31 2 17 1 53 1 33 1 14 0 55 0 34 0 11 . . . . . . . .

13 4 51 4 21 3 58 3 40 3 24 3 11 2 48 2 28 2 09 1 51 1 31 1 08 0 54 0 39

14 5 30 5 04 4 44 4 27 4 13 4 01 3 41 3 23 3 06 2 49 2 31 2 10 1 58 1 44

15 5 58 5 38 5 22 5 09 4 58 4 48 4 31 4 16 4 02 3 48 3 33 3 16 3 06 2 55

16 6 20 6 06 5 55 5 46 5 38 5 31 5 19 5 08 4 58 4 48 4 37 4 24 4 17 4 09

17 6 38 6 31 6 25 6 19 6 15 6 11 6 04 5 58 5 52 5 46 5 40 5 33 5 29 5 24

18 6 54 6 53 6 52 6 51 6 50 6 49 6 48 6 46 6 45 6 44 6 43 6 42 6 41 6 40

19 7 10 7 15 7 18 7 22 7 24 7 27 7 31 7 35 7 38 7 42 7 46 7 50 7 53 7 56

20 7 27 7 38 7 46 7 54 8 00 8 05 8 15 8 24 8 32 8 40 8 49 8 59 9 05 9 12

21 7 47 8 04 8 17 8 29 8 38 8 47 9 01 9 14 9 27 9 39 9 52 10 08 10 16 10 27

22 8 12 8 35 8 53 9 08 9 21 9 32 9 51 10 07 10 23 10 39 10 56 11 15 11 27 11 40

23 8 46 9 14 9 36 9 53 10 08 10 21 10 43 11 02 11 20 11 38 11 58 12 20 12 33 12 49

24 9 31 10 02 10 26 10 45 11 01 11 14 11 38 11 58 12 17 12 36 12 57 13 21 13 35 13 51

25 10 28 11 00 11 23 11 42 11 58 12 11 12 34 12 55 13 13 13 32 13 52 14 15 14 29 14 45

26 11 36 12 04 12 26 12 43 12 57 13 10 13 31 13 50 14 07 14 24 14 42 15 04 15 16 15 30

27 12 50 13 13 13 31 13 45 13 57 14 08 14 26 14 42 14 57 15 12 15 28 15 46 15 56 16 08

28 14 05 14 22 14 36 14 47 14 57 15 05 15 20 15 33 15 44 15 56 16 09 16 23 16 31 16 40

29 15 19 15 31 15 41 15 49 15 55 16 01 16 11 16 20 16 29 16 37 16 46 16 56 17 02 17 08

30 16 32 16 39 16 44 16 48 16 52 16 55 17 01 17 06 17 11 17 16 17 21 17 27 17 30 17 34

Oct. 1 17 43 17 45 17 46 17 47 17 48 17 49 17 50 17 51 17 52 17 53 17 54 17 56 17 56 17 57

2 18 54 18 51 18 48 18 45 18 43 18 41 18 38 18 35 18 32 18 30 18 27 18 24 18 22 18 20

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 8 38 8 55 9 09 9 20 9 30 9 39 9 54 10 07 10 19 10 31 10 44 10 59 11 08 11 18

9 8 58 9 20 9 38 9 52 10 05 10 15 10 34 10 50 11 05 11 20 11 36 11 55 12 06 12 18

10 9 25 9 52 10 13 10 30 10 44 10 57 11 18 11 36 11 54 12 11 12 30 12 51 13 04 13 18

11 10 02 10 33 10 56 11 14 11 30 11 44 12 07 12 27 12 46 13 04 13 24 13 48 14 01 14 17

12 10 52 11 24 11 48 12 07 12 23 12 37 13 01 13 21 13 40 13 59 14 19 14 43 14 56 15 12

13 11 58 12 28 12 51 13 09 13 24 13 37 13 59 14 18 14 36 14 54 15 13 15 35 15 48 16 02

14 13 17 13 42 14 01 14 17 14 30 14 41 15 01 15 17 15 33 15 48 16 05 16 24 16 35 16 47

15 14 44 15 03 15 18 15 30 15 40 15 48 16 04 16 17 16 29 16 41 16 54 17 08 17 17 17 26

16 16 16 16 27 16 37 16 44 16 51 16 57 17 07 17 16 17 24 17 32 17 40 17 50 17 55 18 01

17 17 48 17 53 17 57 18 00 18 03 18 06 18 10 18 14 18 17 18 21 18 24 18 28 18 31 18 33

18 19 20 19 18 19 17 19 16 19 15 19 14 19 13 19 12 19 10 19 09 19 08 19 06 19 05 19 04

19 20 52 20 44 20 37 20 32 20 27 20 23 20 16 20 09 20 03 19 58 19 51 19 44 19 40 19 35

20 22 24 22 09 21 57 21 47 21 39 21 32 21 19 21 08 20 58 20 47 20 36 20 24 20 17 20 09

21 23 54 23 32 23 15 23 02 22 50 22 40 22 22 22 07 21 53 21 39 21 24 21 07 20 57 20 46

22 . . . . . . . . . . . . . . . . 23 59 23 46 23 25 23 07 22 50 22 33 22 15 21 54 21 42 21 28

23 1 18 0 51 0 30 0 13 . . . . . . . . . . . . . . . . 23 48 23 29 23 09 22 46 22 32 22 16

24 2 32 2 01 1 38 1 19 1 03 0 50 0 26 0 06 . . . . . . . . . . . . 23 41 23 27 23 11

25 3 31 3 00 2 36 2 17 2 01 1 47 1 24 1 03 0 44 0 25 0 05 . . . . . . . . . . . .

26 4 15 3 47 3 25 3 07 2 52 2 39 2 17 1 57 1 39 1 21 1 02 0 39 0 26 0 10

27 4 47 4 23 4 04 3 49 3 36 3 24 3 05 2 47 2 31 2 15 1 58 1 38 1 26 1 12

28 5 10 4 51 4 36 4 24 4 13 4 04 3 48 3 34 3 20 3 07 2 52 2 36 2 26 2 15

29 5 27 5 14 5 03 4 54 4 46 4 39 4 27 4 16 4 06 3 56 3 45 3 33 3 25 3 17

30 5 42 5 33 5 26 5 20 5 15 5 11 5 03 4 56 4 49 4 43 4 36 4 28 4 23 4 18

Oct. 1 5 54 5 50 5 47 5 44 5 42 5 40 5 37 5 34 5 31 5 28 5 25 5 21 5 19 5 17

2 6 05 6 06 6 07 6 08 6 08 6 09 6 10 6 11 6 12 6 12 6 13 6 14 6 15 6 15

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 21 37 21 32 21 27 21 21 21 15 21 09 21 01 20 53 20 44 20 34 20 23 20 09 19 53 19 33

9 22 11 22 06 21 59 21 52 21 45 21 37 21 28 21 18 21 06 20 53 20 38 20 20 19 57 19 28

10 22 53 22 46 22 39 22 31 22 22 22 13 22 02 21 50 21 37 21 21 21 02 20 39 20 08 19 20

11 23 41 23 34 23 27 23 18 23 09 22 59 22 48 22 35 22 20 22 03 21 41 21 14 20 36

12 . . . . . . . . . . . . . . . . . . . . 23 57 23 46 23 33 23 19 23 02 22 41 22 14 21 37 20 07

13 0 39 0 32 0 24 0 16 0 07 . . . . . . . . . . . . . . . . . . . . . . . . 23 39 23 11 22 29

14 1 44 1 37 1 31 1 23 1 15 1 06 0 56 0 45 0 33 0 18 0 00 . . . . . . . . . . . .

15 2 55 2 49 2 44 2 38 2 31 2 24 2 16 2 08 1 58 1 46 1 33 1 18 0 59 0 35

16 4 09 4 05 4 01 3 57 3 52 3 47 3 42 3 36 3 29 3 21 3 13 3 03 2 51 2 37

17 5 24 5 22 5 20 5 18 5 15 5 12 5 09 5 06 5 02 4 58 4 54 4 48 4 42 4 35

18 6 40 6 40 6 39 6 39 6 38 6 38 6 37 6 37 6 36 6 35 6 35 6 34 6 33 6 32

19 7 56 7 57 7 59 8 00 8 02 8 04 8 06 8 08 8 10 8 13 8 16 8 19 8 23 8 28

20 9 12 9 15 9 18 9 21 9 25 9 29 9 34 9 38 9 44 9 50 9 57 10 05 10 14 10 25

21 10 27 10 31 10 36 10 41 10 47 10 54 11 00 11 08 11 17 11 27 11 38 11 51 12 07 12 27

22 11 40 11 46 11 52 11 59 12 07 12 15 12 24 12 34 12 46 13 00 13 16 13 35 14 00 14 34

23 12 49 12 55 13 03 13 11 13 20 13 30 13 41 13 53 14 07 14 24 14 44 15 10 15 46 16 57

24 13 51 13 58 14 06 14 14 14 24 14 34 14 46 14 59 15 14 15 32 15 55 16 24 17 07

25 14 45 14 52 14 59 15 08 15 17 15 27 15 38 15 50 16 05 16 22 16 43 17 09 17 46 19 05

26 15 30 15 36 15 43 15 51 15 59 16 08 16 17 16 28 16 41 16 55 17 13 17 33 18 00 18 37

27 16 08 16 13 16 19 16 25 16 32 16 39 16 47 16 56 17 06 17 18 17 31 17 46 18 05 18 28

28 16 40 16 44 16 49 16 54 16 59 17 04 17 10 17 17 17 25 17 33 17 43 17 54 18 06 18 22

29 17 08 17 11 17 14 17 18 17 21 17 25 17 29 17 34 17 39 17 45 17 51 17 58 18 06 18 16

30 17 34 17 35 17 37 17 39 17 41 17 43 17 45 17 48 17 51 17 54 17 57 18 01 18 06 18 11

Oct. 1 17 57 17 58 17 58 17 58 17 59 17 59 18 00 18 00 18 01 18 02 18 03 18 04 18 05 18 06

2 18 20 18 19 18 18 18 18 18 16 18 15 18 14 18 13 18 11 18 10 18 08 18 06 18 03 18 01

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 11 18 11 23 11 28 11 33 11 38 11 44 11 51 11 59 12 07 12 17 12 28 12 40 12 56 13 14

9 12 18 12 24 12 30 12 36 12 43 12 51 13 00 13 10 13 20 13 33 13 48 14 05 14 27 14 56

10 13 18 13 25 13 32 13 39 13 48 13 57 14 07 14 19 14 32 14 47 15 06 15 29 15 59 16 47

11 14 17 14 24 14 32 14 40 14 49 14 59 15 10 15 23 15 38 15 55 16 16 16 43 17 21

12 15 12 15 19 15 27 15 35 15 44 15 54 16 06 16 18 16 33 16 50 17 11 17 38 18 15 19 46

13 16 02 16 09 16 16 16 24 16 32 16 41 16 51 17 03 17 16 17 31 17 49 18 11 18 40 19 21

14 16 47 16 53 16 59 17 05 17 12 17 20 17 28 17 37 17 48 18 00 18 13 18 30 18 49 19 14

15 17 26 17 30 17 35 17 40 17 45 17 51 17 57 18 04 18 11 18 20 18 29 18 41 18 53 19 09

16 18 01 18 04 18 07 18 10 18 13 18 17 18 21 18 25 18 30 18 35 18 41 18 47 18 55 19 04

17 18 33 18 34 18 36 18 37 18 38 18 40 18 41 18 43 18 45 18 47 18 50 18 52 18 55 18 59

18 19 04 19 04 19 03 19 03 19 02 19 02 19 01 19 00 18 59 18 59 18 58 18 57 18 55 18 54

19 19 35 19 33 19 31 19 29 19 26 19 24 19 21 19 18 19 14 19 10 19 06 19 01 18 55 18 49

20 20 09 20 05 20 01 19 57 19 53 19 48 19 43 19 37 19 31 19 24 19 16 19 06 18 56 18 43

21 20 46 20 41 20 35 20 30 20 23 20 16 20 09 20 01 19 51 19 41 19 29 19 14 18 58 18 37

22 21 28 21 22 21 15 21 08 21 00 20 51 20 42 20 31 20 19 20 05 19 48 19 28 19 03 18 28

23 22 16 22 09 22 02 21 54 21 45 21 35 21 23 21 11 20 56 20 39 20 19 19 53 19 17 18 05

24 23 11 23 04 22 56 22 47 22 38 22 28 22 16 22 03 21 47 21 29 21 07 20 38 19 55

25 . . . . . . . . 23 56 23 48 23 39 23 29 23 18 23 06 22 51 22 35 22 14 21 48 21 11 19 53

26 0 10 0 04 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 50 23 34 23 13 22 47 22 10

27 1 12 1 06 1 00 0 53 0 45 0 36 0 27 0 16 0 04 . . . . . . . . . . . . . . . . . . . .

28 2 15 2 10 2 05 1 59 1 53 1 46 1 38 1 30 1 21 1 10 0 57 0 43 0 25 0 02

29 3 17 3 13 3 09 3 05 3 01 2 56 2 50 2 44 2 37 2 29 2 21 2 11 1 59 1 44

30 4 18 4 15 4 13 4 10 4 07 4 04 4 00 3 56 3 52 3 47 3 42 3 36 3 29 3 20

Oct. 1 5 17 5 16 5 15 5 13 5 12 5 11 5 09 5 07 5 06 5 03 5 01 4 58 4 55 4 52

2 6 15 6 15 6 16 6 16 6 16 6 17 6 17 6 17 6 18 6 18 6 19 6 20 6 20 6 21

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
56 MOONRISE AND MOONSET, 2020

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 17 43 17 45 17 46 17 47 17 48 17 49 17 50 17 51 17 52 17 53 17 54 17 56 17 56 17 57

2 18 54 18 51 18 48 18 45 18 43 18 41 18 38 18 35 18 32 18 30 18 27 18 24 18 22 18 20

3 20 05 19 56 19 49 19 43 19 38 19 34 19 26 19 19 19 13 19 07 19 00 18 53 18 49 18 44

4 21 17 21 03 20 51 20 42 20 34 20 27 20 15 20 05 19 55 19 45 19 35 19 24 19 17 19 09

5 22 29 22 10 21 54 21 42 21 31 21 22 21 06 20 52 20 39 20 26 20 12 19 57 19 48 19 38

6 23 41 23 16 22 57 22 41 22 28 22 17 21 57 21 41 21 25 21 09 20 53 20 34 20 22 20 10

7 . . . . . . . . 23 59 23 41 23 26 23 13 22 51 22 31 22 14 21 56 21 37 21 15 21 02 20 48

8 0 51 0 21 . . . . . . . . . . . . . . . . 23 44 23 24 23 05 22 46 22 26 22 02 21 48 21 33

9 1 54 1 21 0 57 0 38 0 22 0 08 . . . . . . . . 23 58 23 39 23 19 22 55 22 41 22 25

10 2 47 2 15 1 51 1 32 1 16 1 02 0 38 0 17 . . . . . . . . . . . . 23 53 23 40 23 25

11 3 28 2 59 2 38 2 20 2 05 1 52 1 30 1 11 0 53 0 35 0 16 . . . . . . . . . . . .

12 3 59 3 36 3 18 3 03 2 50 2 39 2 20 2 03 1 48 1 32 1 15 0 56 0 45 0 32

13 4 23 4 06 3 52 3 41 3 31 3 22 3 07 2 54 2 42 2 30 2 17 2 02 1 53 1 43

14 4 42 4 31 4 22 4 15 4 08 4 02 3 53 3 44 3 36 3 28 3 19 3 09 3 03 2 56

15 4 58 4 53 4 49 4 46 4 43 4 41 4 36 4 32 4 29 4 25 4 21 4 17 4 14 4 11

16 5 13 5 15 5 16 5 17 5 18 5 18 5 20 5 21 5 22 5 23 5 24 5 26 5 27 5 28

17 5 29 5 37 5 43 5 48 5 53 5 57 6 04 6 10 6 16 6 22 6 28 6 36 6 40 6 45

18 5 48 6 02 6 13 6 22 6 30 6 38 6 50 7 01 7 12 7 22 7 33 7 46 7 54 8 03

19 6 10 6 31 6 47 7 01 7 12 7 22 7 40 7 55 8 09 8 24 8 39 8 57 9 08 9 20

20 6 41 7 07 7 28 7 45 7 59 8 11 8 33 8 51 9 08 9 26 9 45 10 06 10 19 10 34

21 7 22 7 53 8 17 8 36 8 51 9 05 9 29 9 49 10 08 10 27 10 48 11 11 11 25 11 42

22 8 17 8 49 9 13 9 33 9 49 10 03 10 27 10 47 11 06 11 26 11 46 12 10 12 24 12 41

23 9 23 9 53 10 16 10 34 10 49 11 02 11 25 11 44 12 02 12 20 12 40 13 02 13 15 13 30

24 10 37 11 02 11 22 11 37 11 50 12 02 12 21 12 38 12 54 13 10 13 27 13 46 13 58 14 11

25 11 53 12 12 12 28 12 40 12 51 13 00 13 16 13 30 13 43 13 56 14 09 14 25 14 34 14 44

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 5 54 5 50 5 47 5 44 5 42 5 40 5 37 5 34 5 31 5 28 5 25 5 21 5 19 5 17

2 6 05 6 06 6 07 6 08 6 08 6 09 6 10 6 11 6 12 6 12 6 13 6 14 6 15 6 15

3 6 16 6 22 6 27 6 31 6 35 6 38 6 43 6 48 6 52 6 56 7 01 7 07 7 10 7 13

4 6 29 6 40 6 48 6 55 7 02 7 07 7 17 7 25 7 33 7 41 7 50 8 00 8 05 8 12

5 6 43 6 59 7 12 7 22 7 31 7 39 7 53 8 05 8 16 8 27 8 39 8 53 9 01 9 11

6 7 01 7 22 7 38 7 52 8 04 8 14 8 31 8 46 9 01 9 15 9 30 9 48 9 58 10 10

7 7 24 7 50 8 10 8 27 8 41 8 53 9 13 9 31 9 48 10 05 10 23 10 44 10 56 11 10

8 7 56 8 27 8 50 9 08 9 23 9 37 10 00 10 19 10 38 10 57 11 16 11 39 11 53 12 08

9 8 40 9 13 9 37 9 56 10 13 10 27 10 51 11 11 11 30 11 50 12 10 12 34 12 48 13 04

10 9 39 10 10 10 34 10 53 11 09 11 22 11 46 12 06 12 24 12 43 13 03 13 26 13 39 13 55

11 10 50 11 18 11 39 11 56 12 11 12 23 12 44 13 02 13 19 13 36 13 54 14 15 14 27 14 40

12 12 12 12 34 12 51 13 05 13 17 13 27 13 45 14 00 14 14 14 28 14 43 15 00 15 09 15 21

13 13 40 13 55 14 07 14 17 14 26 14 33 14 46 14 57 15 08 15 18 15 29 15 41 15 48 15 56

14 15 10 15 19 15 26 15 32 15 37 15 41 15 48 15 55 16 01 16 07 16 13 16 20 16 24 16 29

15 16 43 16 45 16 46 16 47 16 49 16 49 16 51 16 53 16 54 16 55 16 56 16 58 16 59 17 00

16 18 16 18 11 18 07 18 04 18 01 17 59 17 55 17 51 17 47 17 44 17 40 17 36 17 33 17 30

17 19 51 19 39 19 30 19 22 19 15 19 09 18 59 18 50 18 42 18 34 18 25 18 15 18 09 18 03

18 21 25 21 06 20 52 20 40 20 29 20 20 20 05 19 51 19 39 19 26 19 13 18 58 18 49 18 39

19 22 57 22 31 22 11 21 56 21 42 21 30 21 11 20 53 20 37 20 21 20 04 19 44 19 33 19 20

20 . . . . 23 48 23 25 23 07 22 51 22 38 22 15 21 55 21 37 21 18 20 59 20 36 20 23 20 07

21 0 19 . . . . . . . . . . . . 23 54 23 40 23 16 22 56 22 36 22 17 21 56 21 32 21 18 21 02

22 1 26 0 54 0 30 0 10 . . . . . . . . . . . . 23 52 23 34 23 15 22 54 22 31 22 17 22 01

23 2 17 1 46 1 23 1 05 0 49 0 36 0 12 . . . . . . . . . . . . 23 52 23 31 23 18 23 04

24 2 52 2 26 2 06 1 50 1 36 1 24 1 03 0 45 0 28 0 11 . . . . . . . . . . . . . . . .

25 3 18 2 57 2 40 2 27 2 15 2 05 1 48 1 32 1 18 1 04 0 48 0 30 0 20 0 07

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 17 57 17 58 17 58 17 58 17 59 17 59 18 00 18 00 18 01 18 02 18 03 18 04 18 05 18 06

2 18 20 18 19 18 18 18 18 18 16 18 15 18 14 18 13 18 11 18 10 18 08 18 06 18 03 18 01

3 18 44 18 42 18 40 18 37 18 35 18 32 18 29 18 26 18 22 18 18 18 13 18 08 18 02 17 56

4 19 09 19 06 19 02 18 59 18 55 18 50 18 45 18 40 18 34 18 27 18 20 18 12 18 02 17 50

5 19 38 19 33 19 28 19 23 19 17 19 11 19 04 18 57 18 49 18 39 18 29 18 17 18 02 17 45

6 20 10 20 04 19 58 19 52 19 45 19 37 19 28 19 19 19 08 18 56 18 42 18 25 18 04 17 38

7 20 48 20 41 20 34 20 27 20 18 20 09 19 59 19 47 19 34 19 19 19 01 18 39 18 11 17 29

8 21 33 21 25 21 18 21 09 21 00 20 50 20 39 20 26 20 11 19 54 19 33 19 06 18 28

9 22 25 22 18 22 10 22 02 21 52 21 42 21 30 21 17 21 02 20 44 20 22 19 54 19 12

10 23 25 23 19 23 11 23 03 22 55 22 45 22 34 22 22 22 08 21 52 21 32 21 07 20 34 19 33

11 . . . . . . . . . . . . . . . . . . . . 23 57 23 48 23 38 23 27 23 14 22 58 22 39 22 16 21 44

12 0 32 0 26 0 20 0 13 0 06 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 46

13 1 43 1 38 1 33 1 28 1 23 1 16 1 10 1 02 0 54 0 44 0 33 0 20 0 05 . . . .

14 2 56 2 53 2 50 2 47 2 43 2 39 2 35 2 30 2 25 2 19 2 12 2 04 1 55 1 44

15 4 11 4 10 4 09 4 07 4 06 4 04 4 02 4 00 3 58 3 55 3 52 3 49 3 46 3 41

16 5 28 5 28 5 29 5 29 5 30 5 30 5 31 5 32 5 32 5 33 5 34 5 35 5 37 5 38

17 6 45 6 47 6 49 6 52 6 55 6 57 7 01 7 04 7 08 7 13 7 17 7 23 7 30 7 37

18 8 03 8 07 8 11 8 15 8 20 8 25 8 31 8 38 8 45 8 53 9 02 9 13 9 26 9 41

19 9 20 9 25 9 31 9 38 9 44 9 52 10 00 10 10 10 20 10 32 10 47 11 04 11 24 11 52

20 10 34 10 41 10 48 10 56 11 04 11 14 11 24 11 36 11 50 12 05 12 25 12 49 13 21 14 15

21 11 42 11 49 11 57 12 05 12 15 12 25 12 37 12 50 13 06 13 24 13 47 14 16 15 01

22 12 41 12 48 12 56 13 04 13 14 13 24 13 36 13 49 14 04 14 22 14 45 15 14 15 56

23 13 30 13 37 13 44 13 52 14 00 14 10 14 20 14 32 14 46 15 01 15 20 15 43 16 14 17 02

24 14 11 14 16 14 22 14 29 14 36 14 44 14 53 15 03 15 14 15 26 15 41 15 58 16 20 16 47

25 14 44 14 49 14 54 14 59 15 05 15 11 15 18 15 25 15 34 15 43 15 54 16 06 16 21 16 39

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 5 17 5 16 5 15 5 13 5 12 5 11 5 09 5 07 5 06 5 03 5 01 4 58 4 55 4 52

2 6 15 6 15 6 16 6 16 6 16 6 17 6 17 6 17 6 18 6 18 6 19 6 20 6 20 6 21

3 7 13 7 15 7 16 7 18 7 20 7 22 7 25 7 27 7 30 7 33 7 36 7 40 7 45 7 50

4 8 12 8 15 8 18 8 21 8 24 8 28 8 32 8 37 8 42 8 48 8 55 9 02 9 11 9 21

5 9 11 9 15 9 19 9 24 9 29 9 35 9 41 9 48 9 55 10 04 10 14 10 26 10 39 10 56

6 10 10 10 16 10 21 10 28 10 34 10 42 10 50 10 59 11 09 11 21 11 34 11 51 12 10 12 36

7 11 10 11 16 11 23 11 31 11 39 11 47 11 57 12 08 12 21 12 36 12 53 13 15 13 43 14 25

8 12 08 12 15 12 23 12 31 12 40 12 50 13 01 13 14 13 29 13 46 14 07 14 33 15 11

9 13 04 13 11 13 19 13 28 13 37 13 47 13 59 14 12 14 27 14 45 15 07 15 35 16 17

10 13 55 14 02 14 09 14 17 14 26 14 36 14 47 14 59 15 14 15 30 15 50 16 15 16 49 17 50

11 14 40 14 47 14 53 15 00 15 08 15 17 15 26 15 36 15 48 16 02 16 18 16 37 17 02 17 34

12 15 21 15 26 15 31 15 37 15 43 15 49 15 57 16 05 16 14 16 24 16 36 16 50 17 06 17 26

13 15 56 16 00 16 04 16 08 16 12 16 17 16 22 16 27 16 34 16 41 16 48 16 57 17 08 17 20

14 16 29 16 31 16 33 16 35 16 38 16 40 16 43 16 46 16 50 16 53 16 58 17 02 17 08 17 14

15 17 00 17 00 17 00 17 01 17 01 17 02 17 02 17 03 17 04 17 04 17 05 17 06 17 07 17 08

16 17 30 17 29 17 28 17 27 17 25 17 23 17 22 17 20 17 18 17 15 17 13 17 10 17 07 17 03

17 18 03 18 00 17 57 17 54 17 50 17 47 17 42 17 38 17 33 17 27 17 21 17 14 17 06 16 57

18 18 39 18 34 18 30 18 25 18 19 18 13 18 07 17 59 17 51 17 42 17 32 17 20 17 06 16 50

19 19 20 19 14 19 08 19 01 18 54 18 46 18 37 18 27 18 16 18 03 17 48 17 30 17 09 16 40

20 20 07 20 01 19 53 19 45 19 36 19 27 19 16 19 04 18 50 18 33 18 14 17 49 17 16 16 22

21 21 02 20 54 20 46 20 38 20 28 20 18 20 06 19 52 19 37 19 18 18 56 18 26 17 41

22 22 01 21 54 21 46 21 38 21 28 21 18 21 07 20 54 20 38 20 20 19 58 19 30 18 47

23 23 04 22 58 22 51 22 43 22 35 22 25 22 15 22 04 21 51 21 35 21 17 20 54 20 23 19 36

24 . . . . . . . . 23 56 23 50 23 43 23 36 23 27 23 18 23 08 22 56 22 41 22 25 22 04 21 37

25 0 07 0 02 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 54 23 41 23 24

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
58 MOONRISE AND MOONSET, 2020

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 10 37 11 02 11 22 11 37 11 50 12 02 12 21 12 38 12 54 13 10 13 27 13 46 13 58 14 11

25 11 53 12 12 12 28 12 40 12 51 13 00 13 16 13 30 13 43 13 56 14 09 14 25 14 34 14 44

26 13 08 13 22 13 33 13 42 13 50 13 56 14 08 14 18 14 28 14 37 14 48 14 59 15 06 15 13

27 14 21 14 29 14 36 14 42 14 47 14 51 14 58 15 05 15 11 15 17 15 23 15 30 15 34 15 39

28 15 33 15 36 15 38 15 41 15 42 15 44 15 47 15 49 15 52 15 54 15 56 15 59 16 01 16 03

29 16 44 16 42 16 40 16 39 16 37 16 36 16 35 16 33 16 32 16 30 16 29 16 27 16 26 16 25

30 17 54 17 47 17 42 17 37 17 33 17 29 17 23 17 17 17 12 17 07 17 02 16 56 16 52 16 49

31 19 06 18 54 18 44 18 35 18 28 18 22 18 12 18 02 17 54 17 45 17 36 17 26 17 20 17 13

Nov. 1 20 19 20 01 19 47 19 35 19 25 19 16 19 02 18 49 18 37 18 25 18 12 17 58 17 50 17 40

2 21 32 21 08 20 50 20 35 20 23 20 12 19 53 19 37 19 22 19 07 18 51 18 33 18 23 18 11

3 22 43 22 14 21 53 21 35 21 20 21 08 20 46 20 28 20 10 19 53 19 34 19 13 19 01 18 47

4 23 48 23 16 22 52 22 33 22 17 22 03 21 40 21 19 21 01 20 42 20 21 19 58 19 45 19 29

5 . . . . . . . . 23 47 23 28 23 11 22 57 22 33 22 12 21 53 21 33 21 13 20 49 20 35 20 18

6 0 45 0 12 . . . . . . . . . . . . 23 48 23 25 23 05 22 46 22 27 22 07 21 44 21 31 21 15

7 1 29 0 59 0 35 0 17 0 01 . . . . . . . . 23 56 23 40 23 23 23 05 22 44 22 32 22 18

8 2 02 1 37 1 17 1 00 0 47 0 35 0 14 . . . . . . . . . . . . . . . . 23 46 23 36 23 25

9 2 27 2 07 1 52 1 39 1 27 1 18 1 01 0 46 0 32 0 18 0 03 . . . . . . . . . . . .

10 2 47 2 33 2 22 2 13 2 04 1 57 1 45 1 34 1 24 1 14 1 03 0 50 0 43 0 35

11 3 03 2 55 2 49 2 44 2 39 2 35 2 28 2 21 2 15 2 09 2 03 1 56 1 51 1 47

12 3 18 3 16 3 15 3 13 3 12 3 11 3 09 3 08 3 06 3 05 3 04 3 02 3 01 3 00

13 3 33 3 37 3 40 3 43 3 46 3 48 3 52 3 55 3 59 4 02 4 06 4 10 4 12 4 15

14 3 49 3 59 4 08 4 15 4 21 4 27 4 36 4 45 4 53 5 01 5 09 5 19 5 25 5 32

15 4 09 4 26 4 39 4 51 5 01 5 09 5 24 5 37 5 49 6 02 6 15 6 31 6 40 6 50

16 4 35 4 58 5 17 5 32 5 45 5 56 6 16 6 33 6 49 7 05 7 22 7 43 7 54 8 08

17 5 11 5 40 6 03 6 21 6 36 6 49 7 12 7 32 7 50 8 09 8 29 8 52 9 06 9 22

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 2 52 2 26 2 06 1 50 1 36 1 24 1 03 0 45 0 28 0 11 . . . . . . . . . . . . . . . .

25 3 18 2 57 2 40 2 27 2 15 2 05 1 48 1 32 1 18 1 04 0 48 0 30 0 20 0 07

26 3 36 3 21 3 08 2 58 2 49 2 42 2 28 2 16 2 05 1 54 1 41 1 27 1 19 1 10

27 3 51 3 41 3 32 3 25 3 19 3 14 3 05 2 56 2 49 2 41 2 32 2 23 2 17 2 11

28 4 03 3 58 3 54 3 50 3 47 3 44 3 39 3 35 3 30 3 26 3 22 3 17 3 14 3 10

29 4 14 4 14 4 13 4 13 4 13 4 12 4 12 4 11 4 11 4 10 4 10 4 09 4 09 4 09

30 4 25 4 30 4 33 4 36 4 38 4 41 4 45 4 48 4 51 4 54 4 58 5 02 5 04 5 07

31 4 37 4 46 4 53 5 00 5 05 5 10 5 18 5 25 5 32 5 39 5 46 5 55 5 59 6 05

Nov. 1 4 50 5 04 5 16 5 25 5 33 5 41 5 53 6 04 6 14 6 25 6 36 6 48 6 56 7 04

2 5 06 5 26 5 41 5 54 6 05 6 14 6 31 6 45 6 58 7 12 7 26 7 43 7 53 8 04

3 5 28 5 52 6 11 6 27 6 40 6 52 7 12 7 29 7 45 8 01 8 19 8 39 8 51 9 04

4 5 56 6 25 6 48 7 06 7 21 7 34 7 56 8 16 8 34 8 52 9 12 9 35 9 48 10 03

5 6 35 7 08 7 32 7 51 8 08 8 22 8 46 9 06 9 26 9 45 10 05 10 29 10 43 11 00

6 7 28 8 01 8 25 8 44 9 01 9 15 9 39 9 59 10 18 10 38 10 58 11 22 11 36 11 52

7 8 34 9 04 9 26 9 44 9 59 10 12 10 35 10 54 11 12 11 30 11 49 12 11 12 23 12 38

8 9 50 10 15 10 34 10 49 11 02 11 13 11 33 11 49 12 05 12 20 12 37 12 55 13 06 13 19

9 11 13 11 32 11 46 11 58 12 08 12 17 12 32 12 45 12 57 13 09 13 22 13 37 13 45 13 54

10 12 39 12 51 13 01 13 09 13 15 13 21 13 31 13 40 13 48 13 57 14 05 14 15 14 20 14 27

11 14 08 14 13 14 18 14 21 14 24 14 27 14 32 14 36 14 39 14 43 14 47 14 51 14 54 14 57

12 15 38 15 37 15 36 15 35 15 35 15 34 15 33 15 32 15 31 15 30 15 29 15 28 15 27 15 26

13 17 11 17 03 16 57 16 51 16 47 16 43 16 36 16 30 16 24 16 18 16 12 16 05 16 01 15 57

14 18 46 18 31 18 19 18 09 18 01 17 53 17 41 17 29 17 19 17 09 16 58 16 46 16 38 16 30

15 20 21 19 59 19 41 19 27 19 15 19 05 18 47 18 32 18 17 18 03 17 48 17 30 17 20 17 09

16 21 51 21 23 21 01 20 43 20 29 20 16 19 54 19 36 19 18 19 01 18 42 18 20 18 08 17 53

17 23 10 22 37 22 13 21 54 21 38 21 23 21 00 20 39 20 20 20 01 19 40 19 16 19 02 18 46

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 14 11 14 16 14 22 14 29 14 36 14 44 14 53 15 03 15 14 15 26 15 41 15 58 16 20 16 47

25 14 44 14 49 14 54 14 59 15 05 15 11 15 18 15 25 15 34 15 43 15 54 16 06 16 21 16 39

26 15 13 15 17 15 20 15 24 15 28 15 33 15 37 15 43 15 49 15 55 16 03 16 11 16 21 16 32

27 15 39 15 41 15 43 15 45 15 48 15 51 15 54 15 57 16 01 16 04 16 09 16 14 16 20 16 26

28 16 03 16 03 16 04 16 05 16 06 16 07 16 08 16 10 16 11 16 12 16 14 16 16 16 18 16 21

29 16 25 16 25 16 24 16 24 16 23 16 23 16 22 16 21 16 21 16 20 16 19 16 18 16 17 16 15

30 16 49 16 47 16 45 16 43 16 41 16 39 16 36 16 34 16 31 16 27 16 24 16 20 16 15 16 10

31 17 13 17 10 17 07 17 04 17 00 16 56 16 52 16 47 16 42 16 36 16 30 16 22 16 14 16 04

Nov. 1 17 40 17 36 17 31 17 27 17 22 17 16 17 10 17 03 16 55 16 47 16 37 16 26 16 13 15 58

2 18 11 18 06 18 00 17 54 17 47 17 40 17 32 17 23 17 13 17 01 16 48 16 33 16 14 15 51

3 18 47 18 40 18 34 18 26 18 18 18 09 18 00 17 49 17 36 17 22 17 05 16 44 16 18 15 41

4 19 29 19 22 19 14 19 06 18 57 18 47 18 36 18 23 18 09 17 52 17 31 17 05 16 29 15 13

5 20 18 20 11 20 03 19 55 19 45 19 35 19 23 19 10 18 54 18 36 18 13 17 44 17 00

6 21 15 21 08 21 00 20 52 20 43 20 33 20 21 20 09 19 54 19 37 19 15 18 48 18 09

7 22 18 22 11 22 05 21 57 21 49 21 40 21 30 21 19 21 07 20 52 20 34 20 13 19 45 19 04

8 23 25 23 20 23 14 23 08 23 02 22 55 22 47 22 38 22 28 22 17 22 04 21 49 21 30 21 06

9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 55 23 47 23 38 23 28 23 16 23 02

10 0 35 0 31 0 27 0 23 0 18 0 13 0 08 0 02 . . . . . . . . . . . . . . . . . . . . . . . .

11 1 47 1 44 1 42 1 40 1 37 1 34 1 31 1 28 1 24 1 20 1 15 1 09 1 03 0 56

12 3 00 2 59 2 59 2 58 2 58 2 57 2 56 2 56 2 55 2 54 2 53 2 52 2 50 2 49

13 4 15 4 16 4 17 4 19 4 20 4 22 4 24 4 26 4 28 4 30 4 33 4 36 4 40 4 44

14 5 32 5 35 5 38 5 41 5 45 5 49 5 53 5 58 6 04 6 10 6 17 6 25 6 34 6 45

15 6 50 6 55 7 00 7 05 7 11 7 17 7 24 7 32 7 41 7 51 8 03 8 16 8 33 8 53

16 8 08 8 14 8 21 8 28 8 36 8 44 8 54 9 04 9 17 9 31 9 48 10 08 10 35 11 12

17 9 22 9 29 9 36 9 45 9 54 10 04 10 16 10 29 10 44 11 01 11 23 11 51 12 31

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 . . . . . . . . 23 56 23 50 23 43 23 36 23 27 23 18 23 08 22 56 22 41 22 25 22 04 21 37

25 0 07 0 02 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 54 23 41 23 24

26 1 10 1 06 1 01 0 57 0 51 0 46 0 39 0 33 0 25 0 16 0 06 . . . . . . . . . . . .

27 2 11 2 08 2 05 2 02 1 58 1 54 1 50 1 46 1 41 1 35 1 28 1 21 1 12 1 02

28 3 10 3 09 3 07 3 05 3 04 3 02 2 59 2 57 2 54 2 51 2 48 2 44 2 40 2 35

29 4 09 4 08 4 08 4 08 4 08 4 08 4 07 4 07 4 07 4 06 4 06 4 05 4 05 4 04

30 5 07 5 08 5 09 5 10 5 12 5 13 5 15 5 17 5 19 5 21 5 23 5 26 5 30 5 33

31 6 05 6 07 6 10 6 13 6 16 6 19 6 23 6 27 6 31 6 36 6 42 6 48 6 55 7 04

Nov. 1 7 04 7 08 7 12 7 16 7 21 7 26 7 31 7 38 7 45 7 52 8 01 8 11 8 23 8 38

2 8 04 8 09 8 14 8 20 8 26 8 33 8 41 8 49 8 59 9 09 9 22 9 37 9 55 10 17

3 9 04 9 10 9 17 9 24 9 31 9 40 9 49 10 00 10 12 10 26 10 43 11 03 11 29 12 05

4 10 03 10 10 10 18 10 26 10 35 10 44 10 55 11 08 11 22 11 39 11 59 12 25 13 01 14 16

5 11 00 11 07 11 15 11 23 11 33 11 43 11 55 12 08 12 24 12 42 13 04 13 34 14 18

6 11 52 11 59 12 07 12 15 12 24 12 34 12 46 12 59 13 14 13 31 13 53 14 20 15 00

7 12 38 12 44 12 52 12 59 13 08 13 17 13 27 13 38 13 51 14 06 14 24 14 46 15 15 15 57

8 13 19 13 24 13 30 13 36 13 43 13 51 13 59 14 08 14 19 14 31 14 44 15 01 15 20 15 45

9 13 54 13 59 14 03 14 08 14 13 14 19 14 25 14 32 14 39 14 48 14 58 15 09 15 22 15 37

10 14 27 14 29 14 32 14 35 14 39 14 43 14 47 14 51 14 56 15 01 15 07 15 14 15 22 15 31

11 14 57 14 58 14 59 15 01 15 02 15 04 15 06 15 07 15 10 15 12 15 14 15 17 15 21 15 24

12 15 26 15 26 15 26 15 25 15 25 15 24 15 24 15 23 15 23 15 22 15 21 15 20 15 19 15 18

13 15 57 15 55 15 53 15 51 15 48 15 46 15 43 15 40 15 36 15 33 15 28 15 24 15 18 15 12

14 16 30 16 27 16 23 16 19 16 14 16 10 16 04 15 59 15 52 15 45 15 37 15 28 15 18 15 05

15 17 09 17 03 16 58 16 52 16 46 16 39 16 31 16 22 16 13 16 02 15 50 15 35 15 18 14 57

16 17 53 17 47 17 40 17 33 17 24 17 15 17 05 16 54 16 42 16 27 16 09 15 48 15 21 14 43

17 18 46 18 39 18 31 18 22 18 13 18 02 17 51 17 38 17 23 17 05 16 43 16 15 15 34

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
60 MOONRISE AND MOONSET, 2020

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 4 35 4 58 5 17 5 32 5 45 5 56 6 16 6 33 6 49 7 05 7 22 7 43 7 54 8 08

17 5 11 5 40 6 03 6 21 6 36 6 49 7 12 7 32 7 50 8 09 8 29 8 52 9 06 9 22

18 6 00 6 33 6 57 7 17 7 33 7 47 8 11 8 32 8 52 9 11 9 32 9 57 10 11 10 27

19 7 04 7 36 8 00 8 19 8 35 8 49 9 12 9 32 9 51 10 10 10 30 10 54 11 07 11 23

20 8 18 8 46 9 07 9 24 9 38 9 50 10 11 10 30 10 47 11 04 11 22 11 43 11 55 12 09

21 9 36 9 58 10 15 10 29 10 41 10 51 11 08 11 24 11 38 11 52 12 07 12 24 12 34 12 46

22 10 53 11 09 11 22 11 32 11 41 11 49 12 02 12 14 12 25 12 36 12 47 13 01 13 08 13 17

23 12 08 12 18 12 27 12 34 12 40 12 45 12 54 13 02 13 09 13 16 13 24 13 33 13 38 13 44

24 13 21 13 26 13 30 13 33 13 36 13 39 13 43 13 47 13 50 13 54 13 58 14 02 14 05 14 08

25 14 32 14 32 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31

26 15 42 15 37 15 33 15 29 15 26 15 23 15 19 15 15 15 11 15 07 15 03 14 59 14 56 14 53

27 16 54 16 43 16 35 16 28 16 22 16 16 16 07 15 59 15 52 15 45 15 37 15 28 15 23 15 17

28 18 06 17 50 17 38 17 27 17 18 17 10 16 57 16 45 16 34 16 24 16 12 15 59 15 52 15 43

29 19 20 18 58 18 41 18 27 18 16 18 06 17 48 17 33 17 19 17 05 16 50 16 33 16 24 16 13

30 20 33 20 06 19 45 19 28 19 14 19 02 18 41 18 23 18 07 17 50 17 32 17 12 17 00 16 47

Dec. 1 21 41 21 10 20 47 20 28 20 12 19 58 19 35 19 15 18 57 18 38 18 18 17 56 17 42 17 27

2 22 42 22 09 21 44 21 24 21 08 20 54 20 29 20 08 19 49 19 30 19 09 18 45 18 31 18 15

3 23 30 22 58 22 35 22 15 21 59 21 46 21 22 21 02 20 42 20 23 20 03 19 39 19 25 19 09

4 . . . . 23 39 23 18 23 01 22 46 22 34 22 12 21 53 21 36 21 18 20 59 20 38 20 25 20 10

5 0 07 . . . . 23 54 23 40 23 28 23 17 22 59 22 43 22 28 22 13 21 57 21 39 21 28 21 15

6 0 33 0 11 . . . . . . . . . . . . 23 57 23 43 23 31 23 19 23 08 22 55 22 41 22 33 22 23

7 0 54 0 38 0 25 0 14 0 05 . . . . . . . . . . . . . . . . . . . . 23 53 23 44 23 38 23 32

8 1 10 1 00 0 52 0 45 0 39 0 34 0 25 0 17 0 09 0 01 . . . . . . . . . . . . . . . .

9 1 25 1 20 1 17 1 14 1 11 1 09 1 05 1 01 0 58 0 55 0 51 0 47 0 45 0 42

10 1 39 1 40 1 41 1 42 1 43 1 44 1 45 1 46 1 47 1 49 1 50 1 51 1 52 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

Nov. 16 21 51 21 23 21 01 20 43 20 29 20 16 19 54 19 36 19 18 19 01 18 42 18 20 18 08 17 53

17 23 10 22 37 22 13 21 54 21 38 21 23 21 00 20 39 20 20 20 01 19 40 19 16 19 02 18 46

18 . . . . 23 38 23 14 22 55 22 39 22 25 22 01 21 40 21 21 21 01 20 40 20 16 20 02 19 45

19 0 10 . . . . . . . . 23 45 23 31 23 18 22 56 22 36 22 18 22 00 21 41 21 18 21 05 20 49

20 0 53 0 25 0 03 . . . . . . . . . . . . 23 44 23 27 23 12 22 56 22 39 22 20 22 08 21 55

21 1 23 1 00 0 42 0 27 0 14 0 03 . . . . . . . . . . . . 23 48 23 35 23 19 23 10 23 00

22 1 44 1 26 1 12 1 01 0 51 0 42 0 27 0 14 0 01 . . . . . . . . . . . . . . . . . . . .

23 2 00 1 48 1 38 1 29 1 22 1 16 1 05 0 56 0 46 0 37 0 27 0 16 0 10 0 02

24 2 13 2 06 2 00 1 55 1 51 1 47 1 40 1 35 1 29 1 24 1 18 1 11 1 07 1 02

25 2 24 2 22 2 20 2 18 2 17 2 16 2 14 2 12 2 10 2 08 2 06 2 04 2 03 2 01

26 2 35 2 37 2 39 2 41 2 43 2 44 2 46 2 48 2 50 2 52 2 54 2 56 2 58 2 59

27 2 46 2 53 2 59 3 04 3 09 3 12 3 19 3 25 3 31 3 36 3 42 3 49 3 53 3 57

28 2 58 3 11 3 21 3 29 3 36 3 42 3 53 4 03 4 12 4 21 4 31 4 42 4 49 4 56

29 3 13 3 31 3 45 3 56 4 06 4 15 4 30 4 43 4 56 5 08 5 22 5 37 5 46 5 56

30 3 32 3 55 4 13 4 28 4 40 4 51 5 10 5 26 5 42 5 57 6 14 6 33 6 44 6 57

Dec. 1 3 58 4 26 4 47 5 05 5 19 5 32 5 54 6 13 6 31 6 48 7 07 7 29 7 42 7 57

2 4 34 5 05 5 29 5 49 6 05 6 18 6 42 7 03 7 22 7 41 8 01 8 25 8 39 8 55

3 5 22 5 55 6 20 6 40 6 56 7 10 7 34 7 55 8 15 8 34 8 55 9 19 9 33 9 49

4 6 24 6 55 7 19 7 38 7 53 8 07 8 30 8 50 9 08 9 27 9 46 10 09 10 22 10 37

5 7 37 8 04 8 24 8 41 8 55 9 07 9 27 9 45 10 01 10 17 10 35 10 55 11 06 11 20

6 8 58 9 18 9 34 9 48 9 59 10 08 10 25 10 39 10 53 11 06 11 20 11 36 11 46 11 56

7 10 21 10 35 10 47 10 56 11 04 11 11 11 23 11 33 11 43 11 53 12 03 12 14 12 21 12 28

8 11 46 11 54 12 00 12 05 12 10 12 14 12 21 12 27 12 32 12 38 12 44 12 50 12 54 12 58

9 13 12 13 13 13 15 13 16 13 17 13 18 13 19 13 20 13 21 13 22 13 24 13 25 13 26 13 26

10 14 40 14 35 14 31 14 28 14 25 14 23 14 19 14 15 14 11 14 08 14 04 14 00 13 58 13 55

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 8 08 8 14 8 21 8 28 8 36 8 44 8 54 9 04 9 17 9 31 9 48 10 08 10 35 11 12

17 9 22 9 29 9 36 9 45 9 54 10 04 10 16 10 29 10 44 11 01 11 23 11 51 12 31

18 10 27 10 35 10 43 10 52 11 01 11 12 11 24 11 38 11 54 12 12 12 36 13 07 13 55

19 11 23 11 30 11 38 11 46 11 55 12 05 12 17 12 29 12 44 13 01 13 22 13 48 14 26 15 47

20 12 09 12 15 12 22 12 29 12 37 12 45 12 55 13 06 13 18 13 32 13 48 14 08 14 34 15 08

21 12 46 12 51 12 56 13 02 13 09 13 15 13 23 13 31 13 41 13 52 14 04 14 18 14 35 14 57

22 13 17 13 21 13 25 13 29 13 34 13 39 13 44 13 51 13 57 14 05 14 14 14 24 14 35 14 49

23 13 44 13 46 13 49 13 52 13 55 13 58 14 02 14 06 14 10 14 15 14 21 14 27 14 34 14 42

24 14 08 14 09 14 10 14 12 14 13 14 15 14 17 14 19 14 21 14 23 14 26 14 29 14 32 14 36

25 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31 14 31

26 14 53 14 52 14 51 14 49 14 48 14 46 14 44 14 42 14 40 14 38 14 35 14 32 14 29 14 25

27 15 17 15 15 15 12 15 09 15 06 15 03 14 59 14 55 14 51 14 46 14 40 14 34 14 27 14 19

28 15 43 15 39 15 35 15 31 15 26 15 21 15 16 15 10 15 03 14 56 14 47 14 37 14 26 14 13

29 16 13 16 08 16 02 15 57 15 50 15 44 15 36 15 28 15 19 15 08 14 57 14 43 14 26 14 06

30 16 47 16 41 16 34 16 27 16 20 16 11 16 02 15 52 15 40 15 26 15 11 14 52 14 28 13 57

Dec. 1 17 27 17 20 17 13 17 05 16 56 16 46 16 35 16 23 16 09 15 53 15 33 15 09 14 35 13 39

2 18 15 18 07 17 59 17 51 17 41 17 31 17 19 17 06 16 50 16 32 16 10 15 41 14 57

3 19 09 19 02 18 54 18 46 18 36 18 26 18 14 18 01 17 46 17 28 17 06 16 37 15 54

4 20 10 20 04 19 56 19 49 19 40 19 31 19 20 19 09 18 55 18 39 18 20 17 57 17 25 16 33

5 21 15 21 10 21 04 20 57 20 50 20 43 20 34 20 24 20 14 20 01 19 47 19 29 19 07 18 39

6 22 23 22 19 22 14 22 10 22 04 21 58 21 52 21 45 21 37 21 28 21 18 21 06 20 52 20 35

7 23 32 23 29 23 26 23 23 23 20 23 16 23 12 23 08 23 03 22 57 22 51 22 44 22 36 22 26

8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

9 0 42 0 41 0 40 0 38 0 37 0 35 0 34 0 32 0 30 0 27 0 25 0 22 0 19 0 15

10 1 53 1 54 1 54 1 55 1 55 1 56 1 57 1 57 1 58 1 59 2 00 2 01 2 03 2 04

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 17 53 17 47 17 40 17 33 17 24 17 15 17 05 16 54 16 42 16 27 16 09 15 48 15 21 14 43

17 18 46 18 39 18 31 18 22 18 13 18 02 17 51 17 38 17 23 17 05 16 43 16 15 15 34

18 19 45 19 38 19 30 19 21 19 12 19 01 18 49 18 35 18 19 18 01 17 37 17 07 16 18

19 20 49 20 43 20 35 20 27 20 18 20 08 19 57 19 45 19 30 19 13 18 53 18 27 17 50 16 29

20 21 55 21 49 21 43 21 36 21 28 21 20 21 11 21 01 20 49 20 35 20 19 20 00 19 35 19 01

21 23 00 22 55 22 50 22 45 22 39 22 32 22 25 22 17 22 08 21 58 21 47 21 33 21 17 20 57

22 . . . . 23 59 23 55 23 51 23 47 23 43 23 38 23 32 23 26 23 19 23 12 23 03 22 52 22 40

23 0 02 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

24 1 02 1 00 0 58 0 56 0 54 0 51 0 48 0 45 0 41 0 37 0 33 0 28 0 22 0 15

25 2 01 2 01 2 00 1 59 1 58 1 57 1 57 1 55 1 54 1 53 1 52 1 50 1 48 1 46

26 2 59 3 00 3 01 3 01 3 02 3 03 3 04 3 05 3 06 3 08 3 09 3 11 3 13 3 15

27 3 57 3 59 4 01 4 04 4 06 4 09 4 12 4 15 4 19 4 22 4 27 4 32 4 38 4 45

28 4 56 5 00 5 03 5 07 5 11 5 15 5 20 5 26 5 32 5 38 5 46 5 55 6 05 6 17

29 5 56 6 01 6 06 6 11 6 17 6 23 6 30 6 37 6 46 6 56 7 07 7 20 7 36 7 55

30 6 57 7 02 7 09 7 15 7 23 7 31 7 39 7 49 8 01 8 14 8 29 8 47 9 10 9 41

Dec. 1 7 57 8 04 8 11 8 19 8 27 8 37 8 47 8 59 9 13 9 29 9 48 10 13 10 46 11 42

2 8 55 9 02 9 10 9 19 9 28 9 39 9 50 10 03 10 19 10 37 10 59 11 28 12 11

3 9 49 9 56 10 04 10 13 10 22 10 33 10 44 10 58 11 13 11 31 11 53 12 22 13 05

4 10 37 10 44 10 52 11 00 11 08 11 18 11 29 11 41 11 55 12 11 12 30 12 54 13 26 14 19

5 11 20 11 25 11 32 11 39 11 46 11 54 12 03 12 13 12 25 12 38 12 53 13 11 13 33 14 02

6 11 56 12 01 12 06 12 11 12 17 12 23 12 30 12 38 12 47 12 56 13 07 13 20 13 35 13 53

7 12 28 12 32 12 35 12 39 12 43 12 48 12 52 12 58 13 03 13 10 13 17 13 26 13 35 13 46

8 12 58 13 00 13 02 13 04 13 06 13 09 13 11 13 14 13 17 13 21 13 25 13 29 13 34 13 40

9 13 26 13 27 13 27 13 27 13 28 13 28 13 29 13 29 13 30 13 30 13 31 13 32 13 33 13 34

10 13 55 13 54 13 52 13 51 13 50 13 48 13 46 13 44 13 42 13 40 13 38 13 35 13 31 13 28

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
62 MOONRISE AND MOONSET, 2020

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 1 25 1 20 1 17 1 14 1 11 1 09 1 05 1 01 0 58 0 55 0 51 0 47 0 45 0 42

10 1 39 1 40 1 41 1 42 1 43 1 44 1 45 1 46 1 47 1 49 1 50 1 51 1 52 1 53

11 1 53 2 01 2 07 2 12 2 16 2 20 2 27 2 33 2 38 2 44 2 50 2 58 3 02 3 07

12 2 10 2 24 2 35 2 44 2 52 2 59 3 11 3 22 3 32 3 42 3 53 4 06 4 13 4 22

13 2 32 2 52 3 08 3 21 3 33 3 42 4 00 4 15 4 29 4 43 4 59 5 16 5 27 5 39

14 3 02 3 28 3 49 4 05 4 20 4 32 4 53 5 12 5 29 5 46 6 05 6 27 6 40 6 55

15 3 44 4 15 4 39 4 58 5 14 5 28 5 51 6 12 6 31 6 50 7 11 7 35 7 49 8 06

16 4 41 5 14 5 38 5 58 6 14 6 28 6 53 7 13 7 33 7 52 8 13 8 37 8 51 9 08

17 5 53 6 23 6 45 7 03 7 19 7 32 7 54 8 14 8 32 8 50 9 09 9 32 9 45 10 00

18 7 12 7 36 7 55 8 11 8 24 8 35 8 54 9 11 9 27 9 42 9 59 10 18 10 29 10 42

19 8 32 8 51 9 05 9 17 9 27 9 36 9 52 10 05 10 17 10 30 10 43 10 58 11 07 11 16

20 9 50 10 03 10 13 10 21 10 28 10 34 10 45 10 55 11 04 11 12 11 22 11 32 11 39 11 45

21 11 05 11 12 11 17 11 22 11 26 11 30 11 36 11 42 11 47 11 52 11 57 12 03 12 07 12 11

22 12 17 12 19 12 20 12 22 12 23 12 24 12 25 12 27 12 28 12 29 12 31 12 32 12 33 12 34

23 13 28 13 25 13 22 13 20 13 18 13 16 13 13 13 11 13 08 13 06 13 03 13 01 12 59 12 57

24 14 39 14 31 14 24 14 18 14 13 14 09 14 01 13 55 13 49 13 43 13 36 13 29 13 25 13 21

25 15 51 15 37 15 26 15 17 15 09 15 02 14 50 14 40 14 31 14 21 14 11 13 59 13 53 13 45

26 17 04 16 45 16 29 16 17 16 06 15 57 15 41 15 27 15 14 15 02 14 48 14 32 14 24 14 13

27 18 18 17 53 17 33 17 18 17 05 16 53 16 34 16 17 16 01 15 45 15 28 15 09 14 58 14 46

28 19 29 18 59 18 37 18 18 18 03 17 50 17 28 17 08 16 50 16 32 16 13 15 51 15 38 15 24

29 20 34 20 01 19 36 19 17 19 01 18 46 18 22 18 02 17 43 17 23 17 03 16 39 16 25 16 09

30 21 27 20 55 20 30 20 11 19 55 19 41 19 17 18 56 18 36 18 17 17 56 17 32 17 18 17 02

31 22 08 21 39 21 17 20 59 20 44 20 31 20 09 19 49 19 31 19 13 18 53 18 31 18 17 18 02

32 22 38 22 14 21 56 21 41 21 28 21 17 20 57 20 40 20 25 20 09 19 52 19 32 19 21 19 07

33 23 01 22 43 22 29 22 17 22 07 21 58 21 43 21 29 21 17 21 04 20 50 20 35 20 26 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

Dec. 9 13 12 13 13 13 15 13 16 13 17 13 18 13 19 13 20 13 21 13 22 13 24 13 25 13 26 13 26

10 14 40 14 35 14 31 14 28 14 25 14 23 14 19 14 15 14 11 14 08 14 04 14 00 13 58 13 55

11 16 10 15 59 15 50 15 42 15 36 15 30 15 20 15 11 15 03 14 55 14 47 14 37 14 32 14 25

12 17 43 17 25 17 10 16 58 16 48 16 39 16 24 16 11 15 59 15 46 15 33 15 18 15 10 15 00

13 19 16 18 50 18 31 18 15 18 02 17 50 17 30 17 13 16 57 16 41 16 24 16 05 15 53 15 40

14 20 41 20 11 19 47 19 29 19 13 19 00 18 37 18 17 17 58 17 40 17 20 16 57 16 44 16 28

15 21 53 21 20 20 55 20 36 20 19 20 05 19 41 19 20 19 01 18 41 18 20 17 56 17 41 17 25

16 22 46 22 15 21 52 21 33 21 17 21 04 20 41 20 20 20 01 19 42 19 22 18 58 18 44 18 28

17 23 22 22 56 22 36 22 20 22 06 21 54 21 34 21 16 20 59 20 42 20 23 20 02 19 50 19 35

18 23 48 23 27 23 12 22 58 22 47 22 37 22 20 22 06 21 52 21 37 21 22 21 05 20 55 20 43

19 . . . . 23 51 23 40 23 30 23 22 23 15 23 02 22 51 22 40 22 29 22 18 22 05 21 57 21 48

20 0 06 . . . . . . . . 23 57 23 52 23 47 23 39 23 32 23 25 23 18 23 10 23 01 22 56 22 51

21 0 20 0 11 0 04 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 56 23 54 23 51

22 0 32 0 28 0 25 0 22 0 19 0 17 0 13 0 10 0 07 0 03 0 00 . . . . . . . . . . . .

23 0 43 0 44 0 44 0 45 0 45 0 46 0 46 0 47 0 47 0 48 0 48 0 49 0 49 0 50

24 0 54 0 59 1 04 1 08 1 11 1 14 1 19 1 24 1 28 1 32 1 36 1 42 1 45 1 48

25 1 06 1 16 1 25 1 32 1 38 1 43 1 53 2 01 2 09 2 17 2 25 2 34 2 40 2 46

26 1 19 1 35 1 48 1 58 2 07 2 15 2 28 2 40 2 51 3 03 3 15 3 28 3 37 3 46

27 1 37 1 58 2 14 2 28 2 39 2 49 3 07 3 22 3 36 3 51 4 06 4 24 4 34 4 46

28 2 00 2 26 2 46 3 03 3 16 3 29 3 49 4 07 4 24 4 41 4 59 5 20 5 33 5 47

29 2 32 3 02 3 25 3 44 4 00 4 13 4 36 4 56 5 15 5 34 5 54 6 17 6 31 6 47

30 3 16 3 49 4 14 4 33 4 50 5 04 5 28 5 49 6 08 6 28 6 49 7 13 7 27 7 43

31 4 14 4 47 5 11 5 30 5 46 6 00 6 23 6 44 7 03 7 22 7 42 8 05 8 19 8 34

32 5 26 5 54 6 15 6 33 6 47 7 00 7 21 7 40 7 57 8 14 8 32 8 53 9 05 9 19

33 6 45 7 08 7 25 7 40 7 52 8 02 8 20 8 35 8 50 9 04 9 19 9 36 9 46 9 58

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
MOONRISE AND MOONSET, 2020 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 0 42 0 41 0 40 0 38 0 37 0 35 0 34 0 32 0 30 0 27 0 25 0 22 0 19 0 15

10 1 53 1 54 1 54 1 55 1 55 1 56 1 57 1 57 1 58 1 59 2 00 2 01 2 03 2 04

11 3 07 3 09 3 11 3 13 3 16 3 19 3 22 3 25 3 29 3 33 3 38 3 44 3 50 3 57

12 4 22 4 26 4 30 4 34 4 39 4 44 4 50 4 56 5 03 5 11 5 20 5 30 5 43 5 58

13 5 39 5 44 5 50 5 56 6 03 6 10 6 19 6 28 6 38 6 50 7 04 7 21 7 41 8 08

14 6 55 7 01 7 08 7 16 7 25 7 34 7 45 7 57 8 10 8 26 8 45 9 10 9 42 10 37

15 8 06 8 13 8 21 8 30 8 39 8 50 9 02 9 15 9 31 9 49 10 13 10 43 11 30

16 9 08 9 15 9 23 9 32 9 41 9 52 10 04 10 17 10 33 10 51 11 14 11 43 12 28

17 10 00 10 06 10 14 10 21 10 30 10 39 10 50 11 02 11 15 11 31 11 50 12 13 12 44 13 31

18 10 42 10 47 10 54 11 00 11 07 11 15 11 23 11 33 11 44 11 56 12 10 12 27 12 48 13 14

19 11 16 11 21 11 25 11 30 11 36 11 42 11 48 11 55 12 03 12 12 12 23 12 34 12 48 13 05

20 11 45 11 49 11 52 11 55 11 59 12 03 12 08 12 12 12 18 12 24 12 31 12 38 12 47 12 57

21 12 11 12 13 12 15 12 17 12 19 12 21 12 24 12 26 12 29 12 33 12 36 12 41 12 46 12 51

22 12 34 12 35 12 35 12 36 12 37 12 37 12 38 12 39 12 39 12 40 12 41 12 42 12 44 12 45

23 12 57 12 56 12 56 12 55 12 54 12 53 12 52 12 50 12 49 12 48 12 46 12 44 12 42 12 39

24 13 21 13 18 13 16 13 14 13 11 13 09 13 06 13 03 12 59 12 55 12 51 12 46 12 40 12 34

25 13 45 13 42 13 39 13 35 13 31 13 26 13 22 13 16 13 11 13 04 12 57 12 49 12 39 12 28

26 14 13 14 09 14 04 13 59 13 53 13 47 13 40 13 33 13 25 13 16 13 05 12 53 12 38 12 21

27 14 46 14 40 14 34 14 27 14 20 14 12 14 04 13 54 13 44 13 31 13 17 13 00 12 40 12 13

28 15 24 15 17 15 10 15 02 14 54 14 45 14 34 14 23 14 10 13 54 13 36 13 14 12 44 12 01

29 16 09 16 02 15 54 15 46 15 36 15 26 15 15 15 02 14 47 14 29 14 07 13 39 12 59

30 17 02 16 55 16 47 16 38 16 29 16 18 16 07 15 53 15 38 15 19 14 57 14 27 13 43

31 18 02 17 55 17 48 17 40 17 31 17 21 17 10 16 58 16 44 16 27 16 07 15 41 15 06 13 56

32 19 07 19 01 18 55 18 48 18 41 18 32 18 23 18 13 18 01 17 48 17 32 17 12 16 48 16 14

33 20 15 20 11 20 06 20 00 19 54 19 48 19 41 19 33 19 24 19 15 19 03 18 50 18 33 18 13

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 13 26 13 27 13 27 13 27 13 28 13 28 13 29 13 29 13 30 13 30 13 31 13 32 13 33 13 34

10 13 55 13 54 13 52 13 51 13 50 13 48 13 46 13 44 13 42 13 40 13 38 13 35 13 31 13 28

11 14 25 14 23 14 20 14 17 14 13 14 10 14 06 14 01 13 56 13 51 13 45 13 38 13 30 13 21

12 15 00 14 56 14 51 14 46 14 41 14 35 14 28 14 21 14 14 14 05 13 55 13 43 13 30 13 13

13 15 40 15 35 15 28 15 22 15 14 15 06 14 58 14 48 14 37 14 24 14 10 13 52 13 31 13 03

14 16 28 16 22 16 14 16 06 15 57 15 47 15 37 15 24 15 10 14 54 14 34 14 10 13 37 12 41

15 17 25 17 17 17 09 17 01 16 51 16 40 16 28 16 15 15 59 15 40 15 17 14 47 13 59

16 18 28 18 21 18 13 18 05 17 55 17 45 17 33 17 20 17 05 16 46 16 24 15 54 15 10

17 19 35 19 29 19 22 19 14 19 06 18 57 18 47 18 35 18 22 18 07 17 49 17 26 16 56 16 09

18 20 43 20 37 20 32 20 26 20 19 20 12 20 04 19 55 19 44 19 33 19 19 19 03 18 43 18 18

19 21 48 21 44 21 40 21 35 21 31 21 25 21 19 21 13 21 06 20 57 20 48 20 37 20 24 20 09

20 22 51 22 48 22 46 22 43 22 39 22 36 22 32 22 28 22 24 22 19 22 13 22 06 21 58 21 49

21 23 51 23 50 23 49 23 47 23 46 23 44 23 43 23 41 23 39 23 36 23 34 23 31 23 27 23 23

22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

23 0 50 0 50 0 50 0 50 0 50 0 51 0 51 0 51 0 52 0 52 0 52 0 53 0 53 0 54

24 1 48 1 49 1 51 1 53 1 55 1 57 1 59 2 01 2 04 2 07 2 10 2 14 2 18 2 23

25 2 46 2 49 2 52 2 55 2 59 3 03 3 07 3 11 3 16 3 22 3 28 3 36 3 44 3 54

26 3 46 3 50 3 54 3 59 4 04 4 10 4 16 4 23 4 30 4 39 4 49 5 00 5 13 5 30

27 4 46 4 51 4 57 5 03 5 10 5 17 5 26 5 35 5 45 5 57 6 10 6 27 6 47 7 12

28 5 47 5 53 6 00 6 08 6 16 6 25 6 35 6 46 6 59 7 14 7 32 7 54 8 22 9 06

29 6 47 6 54 7 01 7 10 7 19 7 29 7 40 7 53 8 08 8 26 8 47 9 15 9 55

30 7 43 7 50 7 58 8 07 8 17 8 27 8 39 8 52 9 08 9 26 9 49 10 18 11 03

31 8 34 8 41 8 49 8 57 9 06 9 16 9 27 9 40 9 54 10 11 10 32 10 58 11 34 12 44

32 9 19 9 25 9 32 9 39 9 47 9 56 10 05 10 16 10 28 10 42 10 59 11 19 11 44 12 18

33 9 58 10 03 10 08 10 14 10 21 10 27 10 35 10 43 10 53 11 03 11 16 11 30 11 47 12 08

indicates Moon continuously above horizon.

indicates Moon continuously below horizon.

. . . . indicates phenomenon will occur the next day.

HA371/009/008/-01 : Astronomical Phenomena, 2020 TEX aph20 20170911 PLEASE REMOVE
64 ECLIPSES, 2020

CONTENTS OF THE ECLIPSE SECTION

Explanatory Text

Solar Eclipses ....................................................................................................... 65

Lunar Eclipses...................................................................................................... 68

January 10: Penumbral Lunar Eclipse ....................................................................... 70

June 5: Penumbral Lunar Eclipse .............................................................................. 71

June 21: Annular Solar Eclipse

Circumstances and Besselian elements................................................................. 72

Eclipse Map.......................................................................................................... 73

Table of Path of Central Phase............................................................................. 74

July 5: Penumbral Lunar Eclipse............................................................................... 77

November 30: Penumbral Lunar Eclipse ................................................................... 78

December 14: Total Solar Eclipse

Circumstances and Besselian elements................................................................. 79

Eclipse Map.......................................................................................................... 80

Table of Path of Central Phase............................................................................. 81

SUMMARY OF ECLIPSES AND TRANSITS FOR 2020

There are six eclipses, two of the Sun and four of the Moon. All times are expressed

in Universal Time using T D +70s

.0. There are no transits of Mercury or Venus across

the Sun.

I. A penumbral eclipse of the Moon, January 10. See map on page 70. The eclipse

begins at 17h 06m and ends at 21h 14m. It is visible from Australia, Asia, Europe, Africa,

extreme eastern South America, northern North America, the Atlantic Ocean, the Indian

Ocean and the Pacific Ocean.

II. A penumbral eclipse of the Moon, June 5. See map on page 71. The eclipse

begins at 17h 43m and ends at 21h 07m. It is visible from Australia, Antarctica, Asia,

Africa, Europe, eastern South America, the Indian Ocean, the south Atlantic Ocean, and

the western Pacific Ocean.

III. An annular eclipse of the Sun, June 21. See map on page 73. The eclipse begins

at 03h 46m and ends at 09h 34m. Maximum duration of annularity is 1m 17s. It is visible

from Africa, eastern Europe, Asia, extreme northern Australia, the Indian Ocean, and the

Pacific Ocean.

IV. A penumbral eclipse of the Moon, July 5. See map on page 77. The eclipse begins

at 03h 04m and ends at 05h 56m. It is visible from Antarctica, Africa, western Europe,

South America, North America, the Atlantic Ocean, and the eastern Pacific Ocean.

V. A penumbral eclipse of the Moon, November 30. See map on page 78. The

eclipse begins at 07h 30m and ends at 11h 56m. It is visible from northwestern Europe,

South America, North America, Australia, Asia, the north Atlantic Ocean, and the Pacific

Ocean.

VI. A total eclipse of the Sun, December 14. See map on page 80. The eclipse begins

at 13h 34m and ends at 18h 53m. Maximum duration of totality is 2m 14s

. It is visible

from southern South America, Antarctica, southwestern Africa, the Pacific Ocean, and

the south Atlantic 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 150 5900.64 from the IAU (1976) Astronomical

Constants. The apparent semidiameter of the Moon is equal to arcsin (k sin ), where 

is the Moon’s horizontal parallax and k is an adopted constant. In 1982, the IAU adopted

k = 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 C000.5 and 000.25 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 T .A/ D C70s

.0.

Once an updated value of T is known, the data on these pages may be expressed in

Universal Time as follows:

Define ıT D T T .A/, in units of seconds of time.

Change the times of circumstances given in preliminary Universal Time by subtracting ıT .

Correct the tabulated longitudes, .A/, using  D .A/C 0.00417807ıT (longitudes are in degrees).

Leave all other quantities unchanged.

The correction of ıT 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

xy-plane. This is called the fundamental plane. The x-axis is the intersection of the

fundamental plane with the plane of the equator; it is positive toward the east. The y-axis

is positive toward the north. The z-axis is parallel to the axis of the shadow and is

positive toward the Moon. The tabular values of x and y 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

d 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 f1 and f2 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 0

and  cos 0 from the geodetic latitude  and longitude , using the relationships given

on pages K11–K12 of The Astronomical Almanac. Inclusion of the height h 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 x, y, sin d, cos d,  and l1 (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, l2 (the radius of the umbra on the

fundamental plane) is required instead of l1. The hourly variations x0

, y0 of x and y are

needed, and may be obtained by evaluating the derivative of the polynomial expressions

for x and y. Values of 0

, d0, tan f1 and tan f2 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 0 and 	0 from

 D  cos 0 sin ;

	 D  sin 0 cos d  cos 0 sin d cos ;


 D  sin 0 sin d C  cos 0 cos d cos ;

0 D 0

 cos 0 cos ;

	0 D 0

 sin d 
d0;

where

 D  C 

for longitudes measured positive towards the east.

Next, calculate

u D x 

v D y 	

m2 D u2 C v2

u0 D x0 0

v0 D y0 	0

n2 D u02 C v02 .m; n > 0/

Li D li 
 tanfi

D D uu0 C vv0

 D 1

n.uv0 u0

v/

sin D 

Li

;

where i = 1, 2.

At the approximate times of the beginning and end of the eclipse, L1 is required. At

the approximate time of the middle of the eclipse, L2 is required if the eclipse is central;

L1 is required if the eclipse is partial.

Neglecting the variation of L, 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

 D D

n2 ;

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

 D L1

n

cos D

n2 ;

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

 D L2

n

cos D

n2 ;

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

M1 D L1 m

.2L1 0:5459/ ;

where the value of m 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

M2 D L1 L2

.L1 C L2/

:

The position angle of a point of contact measured eastward (counterclockwise) from

the north point of the solar limb is given by

tanP D u

v

;

where u and v 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 u, except

for the contacts of the total phase, for which sin P has the opposite sign to u.

The position angle of the point of contact measured eastward from the vertex of the

solar limb is given by

V D P C;

where C, the parallactic angle, is obtained with sufficient accuracy from

tanC D 

	

;

with sin C 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 C000.5 and

000.25 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 (C) 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 (C), at U1 and U4 by (ˇ) and at U2 and U3 by ( ̊). These symbols

are also plotted on the upper panel where appropriate. The value of T 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.
ECLIPSES, 202070

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

WE

P.A.

I. - Penumbral Eclipse of the Moon 2020 January 10

UT of geocentric opposition in RA: January 10 19 4 13 638. Penumbral magnitude of the eclipse: 0.921 d h m s

17 05 . 7 h m

P.A. 135.8o

P1

19 10 . 0 h m

MID

21 14 . 4 h m

P.A. 230.0o

P4

30 arc-minutes

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

120 Wo

120 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

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +70.0s ∆

HA371/009/xxx/-01: Astronomical Phenomena, 2020 TEX aph_lunars_20 20170911 PLEASE REMOVE
ECLIPSES, 2020 71

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

WE

P.A.

II. - Penumbral Eclipse of the Moon 2020 June 05

UT of geocentric opposition in RA: June 5 18 57 47 927. Penumbral magnitude of the eclipse: 0.593 d h m s

17 43 . 4 h m

P.A. 154.1o

P1

19 25 . 1 h m

MID

21 06 . 6 h m

P.A. 229.1o

P4

30 arc-minutes

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

120 Wo

120 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

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +70.0s ∆

HA371/009/xxx/-01: Astronomical Phenomena, 2020 TEX aph_lunars_20 20170911 PLEASE REMOVE
72 ECLIPSES, 2020

III. −Annular Eclipse of the Sun, 2020 June 21

CIRCUMSTANCES OF THE ECLIPSE

Universal Time of geocentric conjunction in right ascension, June 21d 06h 41m 24s

.442

Julian Date = 2459021.7787551107

UT Longitude Latitude

d hm ° 0 ° 0

Eclipse begins June 21 03 46.0 + 34 24.7 − 1 02.1

Beginning of southern limit of umbra 21 04 48.2 + 17 59.5 + 0 56.8

Beginning of center line; central eclipse begins 21 04 48.5 + 17 47.9 + 1 16.1

Beginning of northern limit of umbra 21 04 48.7 + 17 36.4 + 1 35.4

Central eclipse at local apparent noon 21 06 41.4 + 80 06.8 + 30 35.2

End of northern limit of umbra 21 08 31.5 + 147 46.4 + 11 46.1

End of center line; central eclipse ends 21 08 31.7 + 147 35.3 + 11 28.2

End of southern limit of umbra 21 08 31.9 + 147 24.3 + 11 10.4

Eclipse ends 21 09 34.1 + 130 58.0 + 9 10.6

BESSELIAN ELEMENTS

Let t = (UT−3h ) + ıT / 3600 in units of hours.

These equations are valid over the range 0h

.708 ≤ t ≤ 6h.742. 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 = −1.95918170 + 0.53061943 t+ 0.00010863 t2 − 0.00000693 t3

y = −0.07064647 + 0.05263114 t − 0.00015153 t2 − 0.00000079 t3

Direction of the axis of shadow:

sin d = + 0.39773251 − 0.00000295 t − 0.00000011 t2

cos d = + 0.91750135 + 0.00000136 t+ 0.00000002 t2

= 224°.53827390+ 14.99910869 t+ 0.00000039 t2− 0.00000001 t3− 0.00417807 ıT

Radius of the shadow on the fundamental plane:

penumbra .l1

/ = + 0.55265751 − 0.00003716 t − 0.00001066 t2

umbra .l2/ = + 0.00624085 − 0.00003703 t − 0.00001058 t2− 0.00000001 t3

Other important quantities:

tan f

1 = + 0.004601

tan f

2 = + 0.004578

0 = + 0.261784 radians per hour

d 0 = −0.000004 radians per hour

All time arguments are given provisionally in Universal Time, using T(A) = 70s

.0.

74 ECLIPSES, 2020

PATH OF CENTRAL PHASE: ANNULAR SOLAR ECLIPSE OF JUNE 21

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 ° ° + 22 00 + 3 32.9 + 3 10.1 + 2 46.7 4 49 05.7 4 48 53.3 4 48 37.6 1 17.3 5 67

+ 23 00 + 4 00.8 + 3 37.8 + 3 15.2 4 49 19.1 4 49 02.5 4 48 50.0 1 16.7 6 67

+ 24 00 + 4 28.8 + 4 06.2 + 3 43.7 4 49 33.2 4 49 17.3 4 49 03.1 1 16.2 7 67

+ 25 00 + 4 57.4 + 4 35.2 + 4 12.9 4 49 51.9 4 49 36.6 4 49 21.0 1 15.6 8 67

+ 26 00 + 5 26.4 + 5 04.6 + 4 42.6 4 50 13.9 4 49 58.1 4 49 42.4 1 14.9 9 67

+ 27 00 + 5 55.9 + 5 34.3 + 5 12.6 4 50 39.0 4 50 22.9 4 50 06.8 1 14.3 11 67

+ 28 00 + 6 25.7 + 6 04.4 + 5 43.1 4 51 07.4 4 50 50.9 4 50 34.5 1 13.7 12 67

+ 29 00 + 6 55.9 + 6 35.0 + 6 13.9 4 51 39.2 4 51 22.4 4 51 05.6 1 13.0 13 67

+ 30 00 + 7 26.5 + 7 05.9 + 6 45.2 4 52 14.4 4 51 57.3 4 51 40.2 1 12.3 14 68

+ 31 00 + 7 57.5 + 7 37.2 + 7 16.9 4 52 53.2 4 52 35.8 4 52 18.4 1 11.6 16 68

+ 32 00 + 8 28.8 + 8 08.9 + 7 48.9 4 53 35.8 4 53 18.1 4 53 00.4 1 10.9 17 68

+ 33 00 + 9 00.5 + 8 41.0 + 8 21.3 4 54 22.1 4 54 04.1 4 53 46.2 1 10.1 18 68

+ 34 00 + 9 32.6 + 9 13.4 + 8 54.1 4 55 12.3 4 54 54.1 4 54 35.9 1 09.4 19 68

+ 35 00 +10 05.0 + 9 46.2 + 9 27.3 4 56 06.5 4 55 48.1 4 55 29.6 1 08.6 21 69

+ 36 00 +10 37.7 +10 19.3 +10 00.7 4 57 04.7 4 56 46.1 4 56 27.5 1 07.8 22 69

+ 37 00 +11 10.7 +10 52.7 +10 34.5 4 58 07.2 4 57 48.4 4 57 29.5 1 07.0 23 69

+ 38 00 +11 44.1 +11 26.4 +11 08.6 4 59 13.9 4 58 54.9 4 58 35.9 1 06.2 25 69

+ 39 00 +12 17.7 +12 00.4 +11 43.0 5 00 24.9 5 00 05.8 4 59 46.7 1 05.3 26 70

+ 40 00 +12 51.5 +12 34.6 +12 17.7 5 01 40.3 5 01 21.2 5 01 01.9 1 04.4 28 70

+ 41 00 +13 25.6 +13 09.1 +12 52.5 5 03 00.2 5 02 41.0 5 02 21.8 1 03.6 29 70

+ 42 00 +13 59.8 +13 43.8 +13 27.6 5 04 24.7 5 04 05.5 5 03 46.2 1 02.6 30 71

+ 43 00 +14 34.2 +14 18.6 +14 02.8 5 05 53.8 5 05 34.6 5 05 15.3 1 01.7 32 71

+ 44 00 +15 08.8 +14 53.5 +14 38.2 5 07 27.5 5 07 08.3 5 06 49.0 1 00.8 33 71

+ 45 00 +15 43.4 +15 28.6 +15 13.7 5 09 05.8 5 08 46.7 5 08 27.6 0 59.8 35 72

+ 46 00 +16 18.1 +16 03.7 +15 49.2 5 10 48.8 5 10 29.9 5 10 10.8 0 58.9 36 72

+ 47 00 +16 52.8 +16 38.8 +16 24.8 5 12 36.5 5 12 17.8 5 11 58.9 0 57.9 38 73

+ 48 00 +17 27.4 +17 13.9 +17 00.3 5 14 28.9 5 14 10.3 5 13 51.6 0 56.9 39 73

+ 49 00 +18 02.0 +17 48.9 +17 35.7 5 16 25.8 5 16 07.5 5 15 49.1 0 55.9 41 74

+ 50 00 +18 36.4 +18 23.7 +18 11.0 5 18 27.4 5 18 09.4 5 17 51.2 0 54.8 42 75

+ 51 00 +19 10.7 +18 58.4 +18 46.0 5 20 33.4 5 20 15.7 5 19 57.9 0 53.8 44 75

+ 52 00 +19 44.7 +19 32.8 +19 20.9 5 22 43.9 5 22 26.5 5 22 09.0 0 52.8 46 76

+ 53 00 +20 18.4 +20 06.9 +19 55.4 5 24 58.6 5 24 41.7 5 24 24.6 0 51.8 47 77

+ 54 00 +20 51.7 +20 40.7 +20 29.6 5 27 17.6 5 27 01.0 5 26 44.4 0 50.7 49 78

+ 55 00 +21 24.7 +21 14.0 +21 03.3 5 29 40.5 5 29 24.5 5 29 08.3 0 49.7 50 78

+ 56 00 +21 57.1 +21 46.9 +21 36.6 5 32 07.4 5 31 51.8 5 31 36.1 0 48.7 52 79

+ 57 00 +22 29.1 +22 19.2 +22 09.3 5 34 38.0 5 34 22.9 5 34 07.7 0 47.7 53 80

+ 58 00 +23 00.4 +22 50.9 +22 41.4 5 37 12.0 5 36 57.5 5 36 42.9 0 46.6 55 81

+ 59 00 +23 31.1 +23 22.0 +23 12.8 5 39 49.4 5 39 35.5 5 39 21.4 0 45.7 57 82

+ 60 00 +24 01.2 +23 52.4 +23 43.6 5 42 29.9 5 42 16.6 5 42 03.1 0 44.7 58 84

+ 61 00 +24 30.5 +24 22.0 +24 13.5 5 45 13.3 5 45 00.5 5 44 47.6 0 43.7 60 85

+ 62 00 +24 58.9 +24 50.8 +24 42.7 5 47 59.3 5 47 47.1 5 47 34.8 0 42.8 61 86

+ 63 00 +25 26.6 +25 18.8 +25 10.9 5 50 47.8 5 50 36.2 5 50 24.4 0 41.9 63 88

+ 64 00 +25 53.4 +25 45.8 +25 38.3 5 53 38.4 5 53 27.4 5 53 16.2 0 41.0 64 89

+ 65 00 +26 19.2 +26 11.9 +26 04.7 5 56 30.9 5 56 20.5 5 56 10.0 0 40.2 66 91

+ 66 00 +26 44.1 +26 37.1 +26 30.1 5 59 25.2 5 59 15.4 5 59 05.4 0 39.4 67 93

+ 67 00 +27 08.0 +27 01.2 +26 54.5 6 02 20.9 6 02 11.7 6 02 02.3 0 38.6 69 95

+ 68 00 +27 30.8 +27 24.3 +27 17.8 6 05 17.9 6 05 09.2 6 05 00.5 0 37.9 70 97

+ 69 00 +27 52.6 +27 46.3 +27 40.0 6 08 15.9 6 08 07.8 6 07 59.6 0 37.2 72 100

+ 70 00 +28 13.4 +28 07.3 +28 01.2 6 11 14.7 6 11 07.1 6 10 59.5 0 36.6 73 102

+ 71 00 +28 33.0 +28 27.1 +28 21.2 6 14 14.1 6 14 07.1 6 14 00.0 0 36.0 75 106
ECLIPSES, 2020 75

PATH OF CENTRAL PHASE: ANNULAR SOLAR ECLIPSE OF JUNE 21

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 ° ° + 72 00 +28 51.6 +28 45.8 +28 40.0 6 17 14.0 6 17 07.5 6 17 00.9 0 35.4 76 109

+ 73 00 +29 09.0 +29 03.4 +28 57.8 6 20 14.0 6 20 08.0 6 20 02.0 0 34.9 78 114

+ 74 00 +29 25.3 +29 19.8 +29 14.3 6 23 14.1 6 23 08.6 6 23 03.1 0 34.5 79 119

+ 75 00 +29 40.5 +29 35.1 +29 29.7 6 26 14.1 6 26 09.1 6 26 04.0 0 34.1 80 126

+ 76 00 +29 54.5 +29 49.2 +29 44.0 6 29 13.9 6 29 09.3 6 29 04.7 0 33.8 81 133

+ 77 00 +30 07.4 +30 02.2 +29 57.0 6 32 13.2 6 32 09.1 6 32 04.9 0 33.5 82 142

+ 78 00 +30 19.1 +30 14.0 +30 08.9 6 35 11.9 6 35 08.3 6 35 04.6 0 33.3 82 153

+ 79 00 +30 29.7 +30 24.7 +30 19.6 6 38 10.0 6 38 06.8 6 38 03.5 0 33.1 83 166

+ 80 00 +30 39.2 +30 34.2 +30 29.2 6 41 07.3 6 41 04.5 6 41 01.6 0 33.0 83 179

+ 81 00 +30 47.6 +30 42.6 +30 37.6 6 44 03.7 6 44 01.3 6 43 58.8 0 32.9 83 191

+ 82 00 +30 54.8 +30 49.8 +30 44.8 6 46 59.0 6 46 57.0 6 46 55.0 0 32.9 82 202

+ 83 00 +31 00.9 +30 55.9 +30 51.0 6 49 53.3 6 49 51.7 6 49 50.1 0 33.0 81 212

+ 84 00 +31 05.9 +31 00.9 +30 55.9 6 52 46.3 6 52 45.1 6 52 43.9 0 33.0 80 220

+ 85 00 +31 09.8 +31 04.8 +30 59.8 6 55 38.0 6 55 37.3 6 55 36.5 0 33.2 79 226

+ 86 00 +31 12.6 +31 07.5 +31 02.5 6 58 28.4 6 58 28.0 6 58 27.7 0 33.4 78 232

+ 87 00 +31 14.3 +31 09.2 +31 04.1 7 01 17.3 7 01 17.3 7 01 17.4 0 33.6 77 237

+ 88 00 +31 15.0 +31 09.8 +31 04.7 7 04 04.7 7 04 05.1 7 04 05.6 0 33.9 76 241

+ 89 00 +31 14.6 +31 09.4 +31 04.1 7 06 50.5 7 06 51.3 7 06 52.2 0 34.2 74 244

+ 90 00 +31 13.2 +31 07.8 +31 02.5 7 09 34.6 7 09 35.9 7 09 37.1 0 34.6 73 247

+ 91 00 +31 10.7 +31 05.3 +30 59.9 7 12 17.0 7 12 18.6 7 12 20.3 0 35.0 72 250

+ 92 00 +31 07.2 +31 01.7 +30 56.2 7 14 57.6 7 14 59.6 7 15 01.7 0 35.4 70 252

+ 93 00 +31 02.8 +30 57.1 +30 51.5 7 17 36.2 7 17 38.7 7 17 41.3 0 35.9 69 254

+ 94 00 +30 57.3 +30 51.5 +30 45.8 7 20 13.0 7 20 15.9 7 20 18.9 0 36.4 68 256

+ 95 00 +30 50.9 +30 45.0 +30 39.0 7 22 47.7 7 22 51.1 7 22 54.5 0 36.9 66 258

+ 96 00 +30 43.5 +30 37.4 +30 31.3 7 25 20.4 7 25 24.2 7 25 28.1 0 37.5 65 260

+ 97 00 +30 35.2 +30 28.9 +30 22.7 7 27 51.0 7 27 55.2 7 27 59.5 0 38.1 64 261

+ 98 00 +30 25.9 +30 19.5 +30 13.1 7 30 19.3 7 30 24.0 7 30 28.7 0 38.7 62 263

+ 99 00 +30 15.8 +30 09.2 +30 02.6 7 32 45.4 7 32 50.5 7 32 55.7 0 39.4 61 264

+100 00 +30 04.8 +29 58.0 +29 51.1 7 35 09.1 7 35 14.7 7 35 20.4 0 40.1 60 266

+101 00 +29 52.9 +29 45.9 +29 38.8 7 37 30.5 7 37 36.5 7 37 42.6 0 40.8 58 267

+102 00 +29 40.2 +29 32.9 +29 25.7 7 39 49.4 7 39 55.9 7 40 02.5 0 41.5 57 268

+103 00 +29 26.6 +29 19.1 +29 11.6 7 42 05.7 7 42 12.7 7 42 19.7 0 42.2 56 269

+104 00 +29 12.3 +29 04.5 +28 56.8 7 44 19.5 7 44 26.9 7 44 34.4 0 43.0 54 270

+105 00 +28 57.1 +28 49.1 +28 41.1 7 46 30.6 7 46 38.5 7 46 46.5 0 43.7 53 271

+106 00 +28 41.2 +28 33.0 +28 24.7 7 48 39.0 7 48 47.4 7 48 55.8 0 44.5 51 273

+107 00 +28 24.6 +28 16.1 +28 07.5 7 50 44.6 7 50 53.4 7 51 02.3 0 45.3 50 273

+108 00 +28 07.2 +27 58.4 +27 49.6 7 52 47.4 7 52 56.7 7 53 06.0 0 46.1 49 274

+109 00 +27 49.2 +27 40.1 +27 31.0 7 54 47.3 7 54 57.0 7 55 06.8 0 46.9 47 275

+110 00 +27 30.5 +27 21.1 +27 11.7 7 56 44.3 7 56 54.4 7 57 04.6 0 47.7 46 276

+111 00 +27 11.2 +27 01.4 +26 51.7 7 58 38.2 7 58 48.7 7 58 59.3 0 48.5 45 277

+112 00 +26 51.2 +26 41.2 +26 31.1 8 00 29.1 8 00 40.0 8 00 51.0 0 49.3 43 278

+113 00 +26 30.7 +26 20.3 +26 09.9 8 02 16.9 8 02 28.2 8 02 39.6 0 50.1 42 279

+114 00 +26 09.6 +25 58.9 +25 48.1 8 04 01.5 8 04 13.2 8 04 25.0 0 50.9 41 279

+115 00 +25 48.0 +25 36.9 +25 25.8 8 05 43.0 8 05 55.0 8 06 07.2 0 51.7 39 280

+116 00 +25 25.8 +25 14.4 +25 03.0 8 07 21.2 8 07 33.6 8 07 46.1 0 52.6 38 281

+117 00 +25 03.2 +24 51.5 +24 39.7 8 08 56.2 8 09 08.9 8 09 21.7 0 53.4 37 282

+118 00 +24 40.2 +24 28.1 +24 15.9 8 10 27.9 8 10 40.9 8 10 54.0 0 54.2 35 282

+119 00 +24 16.7 +24 04.2 +23 51.7 8 11 56.3 8 12 09.6 8 12 22.9 0 55.0 34 283

+120 00 +23 52.8 +23 40.0 +23 27.1 8 13 21.3 8 13 34.9 8 13 48.5 0 55.8 33 284

+121 00 +23 28.6 +23 15.4 +23 02.2 8 14 43.1 8 14 56.9 8 15 10.7 0 56.6 32 284
76 ECLIPSES, 2020

PATH OF CENTRAL PHASE: ANNULAR SOLAR ECLIPSE OF JUNE 21

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 ° ° +122 00 +23 04.0 +22 50.5 +22 36.8 8 16 01.5 8 16 15.4 8 16 29.5 0 57.3 30 285

+123 00 +22 39.1 +22 25.2 +22 11.2 8 17 16.5 8 17 30.7 8 17 44.9 0 58.1 29 285

+124 00 +22 14.0 +21 59.6 +21 45.3 8 18 28.2 8 18 42.5 8 18 56.9 0 58.9 28 286

+125 00 +21 48.5 +21 33.8 +21 19.1 8 19 36.5 8 19 51.0 8 20 05.5 0 59.6 26 286

+126 00 +21 22.9 +21 07.8 +20 52.7 8 20 41.5 8 20 56.1 8 21 10.7 1 00.4 25 287

+127 00 +20 57.0 +20 41.5 +20 26.0 8 21 43.2 8 21 57.8 8 22 12.6 1 01.1 24 287

+128 00 +20 30.9 +20 15.1 +19 59.2 8 22 41.5 8 22 56.3 8 23 11.0 1 01.9 23 288

+129 00 +20 04.7 +19 48.5 +19 32.2 8 23 36.6 8 23 51.4 8 24 06.2 1 02.6 21 288

+130 00 +19 38.3 +19 21.7 +19 05.1 8 24 28.4 8 24 43.2 8 24 58.0 1 03.3 20 289

+131 00 +19 11.8 +18 54.8 +18 37.8 8 25 17.0 8 25 31.8 8 25 46.6 1 04.0 19 289

+132 00 +18 45.2 +18 27.9 +18 10.5 8 26 02.4 8 26 17.1 8 26 31.9 1 04.7 18 289

+133 00 +18 18.5 +18 00.8 +17 43.1 8 26 44.6 8 26 59.3 8 27 14.0 1 05.3 17 290

+134 00 +17 51.8 +17 33.7 +17 15.6 8 27 23.7 8 27 38.3 8 27 53.0 1 06.0 15 290

+135 00 +17 25.0 +17 06.6 +16 48.1 8 27 59.8 8 28 14.3 8 28 28.8 1 06.7 14 291

+136 00 +16 58.2 +16 39.4 +16 20.6 8 28 32.7 8 28 47.1 8 29 01.5 1 07.3 13 291

+137 00 +16 31.4 +16 12.3 +15 53.1 8 29 02.7 8 29 17.0 8 29 31.2 1 07.9 12 291

+138 00 +16 04.6 +15 45.1 +15 25.6 8 29 29.8 8 29 43.9 8 29 58.0 1 08.6 11 292

+139 00 +15 37.9 +15 18.0 +14 58.1 8 29 54.0 8 30 07.9 8 30 21.8 1 09.2 10 292

+140 00 +15 11.1 +14 50.9 +14 30.7 8 30 15.4 8 30 29.0 8 30 42.9 1 09.8 8 292

+141 00 +14 44.5 +14 23.9 +14 03.3 8 30 33.3 8 30 47.6 8 31 00.7 1 10.4 7 292

+142 00 +14 17.9 +13 57.0 +13 36.1 8 30 48.3 8 31 02.2 8 31 14.6 1 10.9 6 293

For limits, see Circumstances of the Eclipse.
ECLIPSES, 2020 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

WE

P.A.

IV. - Penumbral Eclipse of the Moon 2020 July 05

UT of geocentric opposition in RA: July 5 4 29 7 043. Penumbral magnitude of the eclipse: 0.380 d h m s

03 04 . 3 h m

P.A. 29.5o

P1

04 30 . 0 h m

MID

05 55 . 5 h m

P.A. 329.9o

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

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +70.0s ∆

HA371/009/xxx/-01: Astronomical Phenomena, 2020 TEX aph_lunars_20 20170911 PLEASE REMOVE
ECLIPSES, 202078

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

WE

P.A.

V. - Penumbral Eclipse of the Moon 2020 November 30

UT of geocentric opposition in RA: November 30 9 8 3 035. Penumbral magnitude of the eclipse: 0.855 d h m s

07 30 . 0 h m

P.A. 30.2o

P1

09 42 . 9 h m

MID

11 55 . 8 h m

P.A. 300.5o

P4

30 arc-minutes

60 Eo

60 Eo

90 Eo

90 Eo

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

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

Moon rising during eclipse Full eclipse visible

No eclipse visible No eclipse visible

Moon setting during eclipse

P4

P4

C HM Nautical Almanac Office Areas of visibility of the eclipse at different stages T = +70.0s ∆

HA371/009/xxx/-01: Astronomical Phenomena, 2020 TEX aph_lunars_20 20170911 PLEASE REMOVE
ECLIPSES, 2020 79

VI. −Total Eclipse of the Sun, 2020 December 14

CIRCUMSTANCES OF THE ECLIPSE

Universal Time of geocentric conjunction in right ascension, December 14d 16h 18m 11s

.898

Julian Date = 2459198.1793043795

UT Longitude Latitude

d hm ° 0 ° 0

Eclipse begins December 14 13 33.9 −115 39.2 − 2 06.1

Beginning of northern limit of umbra 14 14 32.7 −132 44.6 − 7 37.3

Beginning of center line; central eclipse begins 14 14 32.8 −132 50.4 − 7 46.0

Beginning of southern limit of umbra 14 14 33.0 −132 56.2 − 7 54.7

Central eclipse at local apparent noon 14 16 18.2 − 65 48.8 −40 46.2

End of southern limit of umbra 14 17 54.0 + 11 08.7 −23 44.4

End of center line; central eclipse ends 14 17 54.1 + 11 03.0 −23 36.8

End of northern limit of umbra 14 17 54.2 + 10 57.3 −23 29.3

Eclipse ends 14 18 53.1 − 6 29.6 −18 01.3

BESSELIAN ELEMENTS

Let t = (UT−13h ) + ıT / 3600 in units of hours.

These equations are valid over the range 0h

.458 ≤ t ≤ 6h.058. 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 = −1.86051272 + 0.56298950 t + 0.00010163 t2 − 0.00000894 t3

y = −0.01224017 − 0.08689564 t + 0.00017505 t2 + 0.00000149 t3

Direction of the axis of shadow:

sin d = −0.39477251 − 0.00003245 t + 0.00000010 t2

cos d = + 0.91877893 − 0.00001397 t + 0.00000005 t2

= 16°.27554193 + 14.99650374 t − 0.00000081 t2 − 0.00000001 t3− 0.00417807 ıT

Radius of the shadow on the fundamental plane:

penumbra .l1

/ = + 0.54348365 + 0.00017192 t − 0.00001257 t2

umbra .l2/ = −0.00288766 + 0.00017102 t − 0.00001250 t2

Other important quantities:

tan f

1 = + 0.004750

tan f

2 = + 0.004727

0 = + 0.261738 radians per hour

d 0 = −0.000035 radians per hour

All time arguments are given provisionally in Universal Time, using T(A) = 70s

.0.

ECLIPSES, 2020 81

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF DECEMBER 14

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 ° ° −128 00 − 9 44.5 − 9 57.9 −10 10.8 14 33 10.5 14 33 21.5 14 33 30.2 0 38.0 5 113

−127 00 −10 12.6 −10 26.0 −10 39.7 14 33 23.1 14 33 32.9 14 33 43.6 0 39.4 7 113

−126 00 −10 40.9 −10 55.1 −11 09.4 14 33 37.3 14 33 49.1 14 34 01.7 0 40.9 8 112

−125 00 −11 10.0 −11 24.7 −11 39.4 14 33 56.0 14 34 08.8 14 34 21.8 0 42.4 9 112

−124 00 −11 39.6 −11 54.7 −12 10.0 14 34 17.5 14 34 31.1 14 34 45.0 0 43.9 10 112

−123 00 −12 09.6 −12 25.3 −12 41.0 14 34 42.1 14 34 56.5 14 35 11.2 0 45.5 11 112

−122 00 −12 40.2 −12 56.3 −13 12.5 14 35 09.8 14 35 25.0 14 35 40.6 0 47.1 12 111

−121 00 −13 11.2 −13 27.8 −13 44.5 14 35 40.6 14 35 56.7 14 36 13.2 0 48.8 14 111

−120 00 −13 42.7 −13 59.8 −14 17.0 14 36 14.7 14 36 31.7 14 36 49.2 0 50.5 15 111

−119 00 −14 14.6 −14 32.2 −14 50.0 14 36 52.1 14 37 10.1 14 37 28.6 0 52.2 16 110

−118 00 −14 47.0 −15 05.1 −15 23.4 14 37 33.0 14 37 52.0 14 38 11.5 0 54.0 17 110

−117 00 −15 19.8 −15 38.5 −15 57.3 14 38 17.3 14 38 37.4 14 38 57.9 0 55.8 19 110

−116 00 −15 53.1 −16 12.3 −16 31.6 14 39 05.2 14 39 26.4 14 39 48.0 0 57.7 20 109

−115 00 −16 26.8 −16 46.5 −17 06.4 14 39 56.8 14 40 19.1 14 40 41.8 0 59.6 21 109

−114 00 −17 01.0 −17 21.1 −17 41.5 14 40 52.0 14 41 15.5 14 41 39.4 1 01.5 22 109

−113 00 −17 35.5 −17 56.2 −18 17.1 14 41 51.1 14 42 15.7 14 42 40.8 1 03.4 24 108

−112 00 −18 10.4 −18 31.6 −18 53.0 14 42 53.9 14 43 19.7 14 43 46.0 1 05.4 25 108

−111 00 −18 45.6 −19 07.3 −19 29.2 14 44 00.6 14 44 27.6 14 44 55.2 1 07.4 26 107

−110 00 −19 21.1 −19 43.4 −20 05.8 14 45 11.3 14 45 39.5 14 46 08.3 1 09.5 28 107

−109 00 −19 57.0 −20 19.7 −20 42.6 14 46 25.8 14 46 55.3 14 47 25.3 1 11.6 29 106

−108 00 −20 33.1 −20 56.3 −21 19.7 14 47 44.3 14 48 15.0 14 48 46.3 1 13.7 31 105

−107 00 −21 09.5 −21 33.1 −21 57.0 14 49 06.7 14 49 38.7 14 50 11.3 1 15.8 32 105

−106 00 −21 46.0 −22 10.2 −22 34.5 14 50 33.1 14 51 06.3 14 51 40.1 1 18.0 33 104

−105 00 −22 22.7 −22 47.3 −23 12.1 14 52 03.3 14 52 37.8 14 53 12.9 1 20.2 35 103

−104 00 −22 59.6 −23 24.6 −23 49.8 14 53 37.5 14 54 13.1 14 54 49.4 1 22.4 36 103

−103 00 −23 36.5 −24 01.9 −24 27.5 14 55 15.5 14 55 52.3 14 56 29.8 1 24.6 37 102

−102 00 −24 13.4 −24 39.2 −25 05.2 14 56 57.2 14 57 35.2 14 58 13.8 1 26.8 39 101

−101 00 −24 50.3 −25 16.4 −25 42.8 14 58 42.7 14 59 21.7 15 00 01.3 1 29.0 40 100

−100 00 −25 27.1 −25 53.6 −26 20.3 15 00 31.6 15 01 11.7 15 01 52.4 1 31.2 42 99

− 99 00 −26 03.7 −26 30.6 −26 57.6 15 02 24.1 15 03 05.1 15 03 46.7 1 33.4 43 98

− 98 00 −26 40.2 −27 07.4 −27 34.7 15 04 19.9 15 05 01.7 15 05 44.2 1 35.6 44 97

− 97 00 −27 16.5 −27 43.9 −28 11.5 15 06 18.8 15 07 01.5 15 07 44.7 1 37.8 46 96

− 96 00 −27 52.4 −28 20.1 −28 47.9 15 08 20.8 15 09 04.1 15 09 48.0 1 40.0 47 94

− 95 00 −28 28.0 −28 55.9 −29 23.9 15 10 25.6 15 11 09.5 15 11 53.9 1 42.1 49 93

− 94 00 −29 03.2 −29 31.2 −29 59.4 15 12 33.0 15 13 17.4 15 14 02.3 1 44.2 50 92

− 93 00 −29 37.9 −30 06.1 −30 34.5 15 14 42.9 15 15 27.7 15 16 12.9 1 46.3 51 90

− 92 00 −30 12.1 −30 40.4 −31 08.9 15 16 55.1 15 17 40.2 15 18 25.5 1 48.3 53 89

− 91 00 −30 45.7 −31 14.2 −31 42.7 15 19 09.4 15 19 54.5 15 20 40.0 1 50.3 54 87

− 90 00 −31 18.8 −31 47.3 −32 15.9 15 21 25.4 15 22 10.6 15 22 56.0 1 52.2 55 85

− 89 00 −31 51.1 −32 19.7 −32 48.3 15 23 43.2 15 24 28.2 15 25 13.4 1 54.0 57 84

− 88 00 −32 22.8 −32 51.4 −33 20.0 15 26 02.3 15 26 47.1 15 27 32.0 1 55.8 58 82

− 87 00 −32 53.7 −33 22.3 −33 50.9 15 28 22.7 15 29 07.0 15 29 51.5 1 57.6 59 80

− 86 00 −33 23.8 −33 52.4 −34 21.0 15 30 44.1 15 31 27.9 15 32 11.8 1 59.2 60 78

− 85 00 −33 53.2 −34 21.7 −34 50.2 15 33 06.3 15 33 49.5 15 34 32.7 2 00.8 61 75

− 84 00 −34 21.7 −34 50.1 −35 18.6 15 35 29.1 15 36 11.5 15 36 53.9 2 02.3 63 73

− 83 00 −34 49.3 −35 17.7 −35 46.1 15 37 52.4 15 38 33.9 15 39 15.4 2 03.7 64 70

− 82 00 −35 16.1 −35 44.3 −36 12.6 15 40 15.9 15 40 56.5 15 41 37.0 2 05.0 65 67

− 81 00 −35 41.9 −36 10.1 −36 38.3 15 42 39.6 15 43 19.1 15 43 58.5 2 06.3 66 65

− 80 00 −36 06.9 −36 34.9 −37 03.0 15 45 03.2 15 45 41.6 15 46 19.8 2 07.4 67 61

− 79 00 −36 30.9 −36 58.8 −37 26.7 15 47 26.7 15 48 03.8 15 48 40.7 2 08.5 68 58
82 ECLIPSES, 2020

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF DECEMBER 14

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 ° ° − 78 00 −36 54.0 −37 21.8 −37 49.5 15 49 49.9 15 50 25.6 15 51 01.2 2 09.4 68 55

− 77 00 −37 16.1 −37 43.8 −38 11.4 15 52 12.6 15 52 47.0 15 53 21.1 2 10.3 69 51

− 76 00 −37 37.3 −38 04.8 −38 32.3 15 54 34.8 15 55 07.7 15 55 40.4 2 11.1 70 47

− 75 00 −37 57.6 −38 24.9 −38 52.2 15 56 56.4 15 57 27.8 15 57 58.9 2 11.7 71 43

− 74 00 −38 16.9 −38 44.1 −39 11.2 15 59 17.3 15 59 47.1 16 00 16.6 2 12.3 71 39

− 73 00 −38 35.3 −39 02.3 −39 29.3 16 01 37.4 16 02 05.6 16 02 33.5 2 12.8 72 34

− 72 00 −38 52.8 −39 19.6 −39 46.4 16 03 56.7 16 04 23.2 16 04 49.4 2 13.2 72 30

− 71 00 −39 09.3 −39 36.0 −40 02.6 16 06 15.0 16 06 39.9 16 07 04.4 2 13.6 72 25

− 70 00 −39 24.9 −39 51.4 −40 17.9 16 08 32.4 16 08 55.5 16 09 18.3 2 13.8 73 20

− 69 00 −39 39.6 −40 05.9 −40 32.3 16 10 48.8 16 11 10.2 16 11 31.3 2 13.9 73 15

− 68 00 −39 53.4 −40 19.6 −40 45.7 16 13 04.1 16 13 23.8 16 13 43.1 2 14.0 73 11

− 67 00 −40 06.2 −40 32.3 −40 58.3 16 15 18.3 16 15 36.2 16 15 53.9 2 13.9 73 6

− 66 00 −40 18.2 −40 44.1 −41 10.0 16 17 31.4 16 17 47.6 16 18 03.5 2 13.8 73 1

− 65 00 −40 29.3 −40 55.1 −41 20.8 16 19 43.4 16 19 57.9 16 20 12.0 2 13.6 72 356

− 64 00 −40 39.6 −41 05.2 −41 30.8 16 21 54.2 16 22 07.0 16 22 19.4 2 13.4 72 352

− 63 00 −40 49.0 −41 14.4 −41 39.9 16 24 03.9 16 24 14.9 16 24 25.6 2 13.0 72 347

− 62 00 −40 57.5 −41 22.8 −41 48.1 16 26 12.4 16 26 21.7 16 26 30.7 2 12.6 71 343

− 61 00 −41 05.2 −41 30.4 −41 55.6 16 28 19.7 16 28 27.3 16 28 34.7 2 12.1 71 339

− 60 00 −41 12.1 −41 37.1 −42 02.2 16 30 25.8 16 30 31.8 16 30 37.4 2 11.5 70 335

− 59 00 −41 18.1 −41 43.1 −42 08.0 16 32 30.7 16 32 35.0 16 32 39.1 2 10.9 70 332

− 58 00 −41 23.4 −41 48.2 −42 12.9 16 34 34.4 16 34 37.1 16 34 39.6 2 10.2 69 328

− 57 00 −41 27.8 −41 52.5 −42 17.1 16 36 36.8 16 36 38.0 16 36 38.9 2 09.4 68 325

− 56 00 −41 31.5 −41 56.0 −42 20.6 16 38 38.1 16 38 37.7 16 38 37.1 2 08.6 68 322

− 55 00 −41 34.3 −41 58.8 −42 23.2 16 40 38.2 16 40 36.3 16 40 34.2 2 07.7 67 319

− 54 00 −41 36.4 −42 00.7 −42 25.1 16 42 37.0 16 42 33.6 16 42 30.1 2 06.7 66 316

− 53 00 −41 37.7 −42 02.0 −42 26.2 16 44 34.6 16 44 29.8 16 44 24.9 2 05.7 65 313

− 52 00 −41 38.3 −42 02.4 −42 26.5 16 46 31.0 16 46 24.9 16 46 18.5 2 04.7 64 311

− 51 00 −41 38.1 −42 02.1 −42 26.1 16 48 26.2 16 48 18.7 16 48 11.0 2 03.6 64 308

− 50 00 −41 37.2 −42 01.1 −42 25.0 16 50 20.1 16 50 11.3 16 50 02.4 2 02.4 63 306

− 49 00 −41 35.5 −41 59.3 −42 23.1 16 52 12.8 16 52 02.8 16 51 52.6 2 01.2 62 304

− 48 00 −41 33.1 −41 56.8 −42 20.6 16 54 04.3 16 53 53.1 16 53 41.7 2 00.0 61 302

− 47 00 −41 30.0 −41 53.6 −42 17.3 16 55 54.5 16 55 42.2 16 55 29.6 1 58.7 60 300

− 46 00 −41 26.2 −41 49.7 −42 13.2 16 57 43.5 16 57 30.1 16 57 16.4 1 57.4 59 298

− 45 00 −41 21.7 −41 45.1 −42 08.5 16 59 31.2 16 59 16.7 16 59 02.1 1 56.0 58 296

− 44 00 −41 16.4 −41 39.8 −42 03.1 17 01 17.7 17 01 02.2 17 00 46.5 1 54.6 57 294

− 43 00 −41 10.5 −41 33.8 −41 57.0 17 03 02.8 17 02 46.4 17 02 29.8 1 53.1 56 292

− 42 00 −41 03.9 −41 27.0 −41 50.2 17 04 46.7 17 04 29.4 17 04 11.9 1 51.7 55 291

− 41 00 −40 56.6 −41 19.7 −41 42.7 17 06 29.3 17 06 11.2 17 05 52.8 1 50.2 54 289

− 40 00 −40 48.7 −41 11.6 −41 34.6 17 08 10.5 17 07 51.6 17 07 32.5 1 48.6 53 287

− 39 00 −40 40.0 −41 02.9 −41 25.7 17 09 50.4 17 09 30.8 17 09 11.0 1 47.1 52 286

− 38 00 −40 30.7 −40 53.5 −41 16.3 17 11 28.9 17 11 08.7 17 10 48.2 1 45.5 51 284

− 37 00 −40 20.8 −40 43.4 −41 06.1 17 13 06.0 17 12 45.2 17 12 24.1 1 43.9 50 283

− 36 00 −40 10.2 −40 32.7 −40 55.3 17 14 41.8 17 14 20.4 17 13 58.8 1 42.3 49 282

− 35 00 −39 59.0 −40 21.4 −40 43.9 17 16 16.1 17 15 54.2 17 15 32.1 1 40.6 48 280

− 34 00 −39 47.2 −40 09.4 −40 31.8 17 17 48.9 17 17 26.6 17 17 04.1 1 38.9 47 279

− 33 00 −39 34.7 −39 56.9 −40 19.1 17 19 20.2 17 18 57.6 17 18 34.6 1 37.3 46 278

− 32 00 −39 21.6 −39 43.6 −40 05.7 17 20 50.1 17 20 27.1 17 20 03.8 1 35.6 45 276

− 31 00 −39 07.9 −39 29.8 −39 51.8 17 22 18.3 17 21 55.1 17 21 31.6 1 33.9 44 275

− 30 00 −38 53.6 −39 15.4 −39 37.2 17 23 45.0 17 23 21.6 17 22 57.8 1 32.1 43 274

− 29 00 −38 38.8 −39 00.4 −39 22.1 17 25 10.1 17 24 46.5 17 24 22.6 1 30.4 42 273
ECLIPSES, 2020 83

PATH OF CENTRAL PHASE: TOTAL SOLAR ECLIPSE OF DECEMBER 14

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 ° ° − 28 00 −38 23.3 −38 44.8 −39 06.4 17 26 33.5 17 26 09.8 17 25 45.8 1 28.7 41 272

− 27 00 −38 07.3 −38 28.7 −38 50.0 17 27 55.2 17 27 31.5 17 27 07.4 1 26.9 40 271

− 26 00 −37 50.8 −38 11.9 −38 33.2 17 29 15.3 17 28 51.5 17 28 27.4 1 25.2 39 270

− 25 00 −37 33.7 −37 54.7 −38 15.7 17 30 33.5 17 30 09.8 17 29 45.8 1 23.4 38 269

− 24 00 −37 16.1 −37 36.9 −37 57.7 17 31 50.0 17 31 26.4 17 31 02.5 1 21.7 37 268

− 23 00 −36 57.9 −37 18.5 −37 39.2 17 33 04.6 17 32 41.2 17 32 17.4 1 19.9 36 267

− 22 00 −36 39.3 −36 59.7 −37 20.2 17 34 17.4 17 33 54.1 17 33 30.5 1 18.1 35 266

− 21 00 −36 20.2 −36 40.4 −37 00.7 17 35 28.3 17 35 05.3 17 34 41.9 1 16.4 34 265

− 20 00 −36 00.6 −36 20.6 −36 40.6 17 36 37.2 17 36 14.5 17 35 51.3 1 14.6 33 264

− 19 00 −35 40.5 −36 00.3 −36 20.1 17 37 44.2 17 37 21.7 17 36 58.9 1 12.9 32 263

− 18 00 −35 20.0 −35 39.5 −35 59.2 17 38 49.1 17 38 27.0 17 38 04.5 1 11.2 31 262

− 17 00 −34 59.1 −35 18.4 −35 37.8 17 39 52.1 17 39 30.3 17 39 08.2 1 09.4 30 261

− 16 00 −34 37.7 −34 56.8 −35 15.9 17 40 52.9 17 40 31.6 17 40 09.8 1 07.7 29 260

− 15 00 −34 16.0 −34 34.8 −34 53.6 17 41 51.6 17 41 30.7 17 41 09.5 1 06.0 28 260

− 14 00 −33 53.8 −34 12.4 −34 31.0 17 42 48.2 17 42 27.8 17 42 07.0 1 04.3 26 259

− 13 00 −33 31.4 −33 49.6 −34 08.0 17 43 42.7 17 43 22.7 17 43 02.4 1 02.6 25 258

− 12 00 −33 08.5 −33 26.5 −33 44.6 17 44 34.9 17 44 15.5 17 43 55.7 1 00.9 24 257

− 11 00 −32 45.4 −33 03.0 −33 20.8 17 45 25.0 17 45 06.1 17 44 46.8 0 59.3 23 257

− 10 00 −32 21.9 −32 39.3 −32 56.8 17 46 12.8 17 45 54.4 17 45 35.7 0 57.6 22 256

− 9 00 −31 58.1 −32 15.2 −32 32.4 17 46 58.4 17 46 40.6 17 46 22.4 0 56.0 21 255

− 8 00 −31 34.1 −31 50.8 −32 07.7 17 47 41.7 17 47 24.5 17 47 06.9 0 54.4 20 254

− 7 00 −31 09.8 −31 26.2 −31 42.8 17 48 22.8 17 48 06.1 17 47 49.1 0 52.8 19 254

− 6 00 −30 45.3 −31 01.4 −31 17.6 17 49 01.5 17 48 45.4 17 48 29.0 0 51.3 18 253

− 5 00 −30 20.5 −30 36.3 −30 52.2 17 49 38.0 17 49 22.5 17 49 06.6 0 49.7 17 253

− 4 00 −29 55.6 −30 11.0 −30 26.5 17 50 12.2 17 49 57.2 17 49 42.0 0 48.2 16 252

− 3 00 −29 30.4 −29 45.5 −30 00.7 17 50 44.0 17 50 29.7 17 50 15.1 0 46.7 15 251

− 2 00 −29 05.1 −29 19.8 −29 34.7 17 51 13.6 17 50 59.8 17 50 45.8 0 45.2 14 251

− 1 00 −28 39.6 −28 54.0 −29 08.5 17 51 40.9 17 51 27.7 17 51 14.2 0 43.7 13 250

0 00 −28 14.0 −28 28.1 −28 42.2 17 52 05.8 17 51 53.2 17 51 40.4 0 42.2 11 250

+ 1 00 −27 48.3 −28 02.0 −28 15.8 17 52 28.5 17 52 16.5 17 52 04.2 0 40.8 10 249

+ 2 00 −27 22.5 −27 35.8 −27 49.3 17 52 49.0 17 52 37.5 17 52 25.8 0 39.4 9 249

+ 3 00 −26 56.6 −27 09.6 −27 22.7 17 53 07.2 17 52 56.2 17 52 45.1 0 38.0 8 248

+ 4 00 −26 30.7 −26 43.3 −26 55.9 17 53 23.1 17 53 13.1 17 53 01.7 0 36.7 7 248

+ 5 00 −26 04.6 −26 16.9 −26 29.2 17 53 35.3 17 53 27.0 17 53 15.4 0 35.3 6 247

+ 6 00 −25 38.5 −25 50.4 −26 02.4 17 53 45.8 17 53 36.5 17 53 29.0 0 34.0 5 247

For limits, see Circumstances of the Eclipse.
84 RELATED PUBLICATIONS

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 10and 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 100 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 10

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.

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RELATED PUBLICATIONS 85

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

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WEB LINKS86

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 https://bookstore.gpo.gov

• University Science Books at http://www.uscibooks.com

• Willmann-Bell at http://www.willbell.com

• Macmillan Distribution at http://www.palgrave.com

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