PB 151364

^ecknical ^lot& No. 5

TABLES OF MEDIAN HOURLY

VALUES OF THE COSINE OF THE

SOLAR ZENITH ANGLE (%) FOR

THIRTY-FIVE LOCATIONS

by R. E. McDuffie

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical <Viote

No. 5

TABLES OF MEDIAN HOURLY VALUES OF THE COSINE OF THE

SOLAR ZENITH ANGLE (X) FOR THIRTY-FIVE LOCATIONS

by

R.E. McDuffie

February I959

NBS Technical Notes are designed to supplement the Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed or referred to in the open literature. They are for sale by the Office of Technical Services, U. S. Department of Commerce, Washington 25, D. C.

DISTRIBUTED BY

UNITED STATES DEPARTMENT OF COMMERCE

OFFICE OF TECHNICAL SERVICES

WASHINGTON 25, D. C.

Price $ I ,?5

Tables of Median Hourly Values of the Cosine of the

Solar Zenith Angle (x) for Thirty-five Locations

Many parameters of the lover ionosphere, notably D

and E region maximum electron densities and D region absorption,

vary as a simple function of the cosine of the zenith angle (x)

of the sun. It is convenient, therefore, to have tabulations

of cosine X for the locations at which ionospheric vertical

soundings are being made. This report consists of tables of

hourly values of cosine X from sunrise to sunset for the 15th

day of each month appropriate to thirty-five vertical incidence

ionospheric stations associated with the National Bureau of

Standards, including fourteen new stations established for IGY

(see Table l). The tables were prepared in response to the

recommendation by the U.R.S.I. Mixed Commission on the Ionosphere (see Proc. Mixed Comm. on the Ionosphere, p. 77

Resolution 2, Brussels, 195^).

The calculations were made in compliance with the suggestions of W. J. G. Beynon and G. M. Brown, expressed in a paper entitled "On the calculation of solar zenith angle" published in U.R.S.I. Information Bulletin, No. 97. In addition

to a comprehensive discussion of the merits and accuracy of their

method of computation they list a table of values of solar

declination 5 and equation of time e for the 15th day of each

month that are considered to be the best compromise values which

allow for the year-to-year variations. Since the period of the

International Geophysical Year (1957-1958) falls midway between

the times of extreme variations of 5 and e, I.e., midway between

consecutive leap years, the values given will be quite adequate

for the determination of cos X at all stations.
where

- 2 -

The "basic equation is?

cos X = sin cp • sin & + cos cp • cos 5 • cos (h + e + p)

cp is latitude

& is solar declination

h is the hour angle of the mean sun from noon, reckoned

m

^^ positive westwards

g is the correction applied to h due to the Equation of

Time, reckoned positive when the true sun is ahead

of the mean sun

(3 is the local time correction, reckoned positive when

the time meridian is west of the station.,

Since the values of 5 and e for the 15th day of a month

are close to the monthly median values, it is legitimate to employ

the resulting cos X values in conjunction with monthly median

ionospheric parameters. Interpolation between stations is not

correct because of the time correction for distance from the

standard meridians.
- 3

TABLE 1

Location > Geographic Time Page

Lat • Long • Adak, Alaska N5

1°

5V WI76 36* 180°W k

Amundsen- Scott (Pole } Antarctica S90 00 -- -- GCT 5

Anchorage, Alaska N61 Ik wii+9 53 150 W 6

Bagnio, Philippines ni6 25 E120 35 120 E 7

Barrow, Alaska N71 20 W156 k6 150 W 8

Belvoir, Virginia N38 Uh W 77 08 75 W 9

Bogota, Colombia N k 32 w 7^ 15 75 W 10

Byrd Base, Antarctica S80 00 W120 00 120 W 11

Cape Canaveral, Florida N28 2k w 80 36 75 W 12

Cape Ballett(Adare), Antarctica S72 25 E170 55 165 E 13

Chiclayo , Peru S6 kQ w 79 ^9 75 W Ik

Chimbote, Peru S 9 0^ w 78 35 75 W 15

College -Fairbanks, Alaska N64 5^ W1^7 kQ 150 W 16

Cone epcion, Chile S36 35 w 72 59 75 W 17

Ellsworth, Antarctica S7T ^3 W kl 07 k5 W 18

Ft. Monmouth, New Jersey N^O 18 W 7k 12 75 W 19

Godhavn, Green] and N69 15 W 53 33 ^5 W 20

Grand Bahama Island N26 36 w 78 15 75 W 21

Guam, Mariana Islands N13 27 Elkk k5 150 E 22

Buancayo, Peru S12 03 W 75 20 75 W 23

La Paz, Bolivia S16 29 W 68 03 75 W 2k

Little America, Antarctica S78 17 W162 15 165 W 25

Maui, T. of Hawaii N20 kQ WI56 30 150 W 26

Narsarssuak, Greenland N6l 09 W ^5 22 ^5 W 27

Okinawa, Ryukyu Islands N26 19 E127 ^7 135 E 28

Panama, Canal Zone N 9 2k w 79 3k 75 W 29

Puerto Rico, W. Indies Nl8 30 W 67 10 60 W 30

Reykjavik, Iceland N64 08 W 21 kl 15 W 31

San Francisco, California N37 2k W122 10 120 W 32

San Salvador, Bahama Islands wk 05 W 7^ 30 75 W 33

St . John ' s , Newfoundland Ni4-7 37 w 52 ^2 60 w 3^

Talara, Peru s k 38 w 81 18 75 w 35

Thule, Greenland wj6 33 W 68 50 75 w 36

White Sands, New Mexico N32 18 W106 30 105 w 37

Wilkes, Antarctica S66 15 E110 35 105 E 38
- 1+ -

LST

00

01

02

03

Oil05

06

07

08

09

10

11

12

13

14

15

16

17

18

19

20

21

22

23

Adak, Alaska (51.9°N, 176. 6°W) Time: 180°W

Hourly values of cos X for 15th day of each month

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

.000 .057 -020

.009 .11*8 .197 .160

.167 .297 .31*5 .309

.140 .323 .447 .^90 .1*57

.012 .124 .278 .466 .583 .623 .593

,129 .249 .1*14 .587 .688 .735 .709

,219 .329 .510 .676 .780 .818 .796

.271* .1*06 .568 .728 .828 .866 .848

,291 .427 .586 .740 .840 .877 .863

,269 .407 .563 .710 .805 .849 .838

,209 .348 .498 .641 .736 .785 .776

.115 .252 .398 .537 .645 .688 .681

.128 .268 .406 .507 .566 .559

.119 .256 .363 .426 .4l8

.098 .210 .279 .279

.061 .133 .062

.000

.061

.216 .093

.370 .250 .113

.512 .384 .252 .108 .012

.632 .512 .365 .217 .122

.722 .599 .446 .294 .202

.776 .649 .489 .335 -247

.790 .657 .490 .336 .254

.763 .623 .450 .297 .223

.697 .549 .372 .221 .156

.597 .441 .260 .113 .056

.469 .306 .122

.323 .156

.167

.013
- 5

-

Amundsen-Scott (Pole Station), Antarctica (90.0°S, -- ) Time: GCT

Hourly values of cos X for 15th day of each month

GCT Jan Feb Mar Apr May Jun Jul Aug Sep

00 .363 .225 .0'+2

01 .363 .221+ .ol+l

02 .363 .221+ .01+1

03 .363 .221+ .ol+l

0l+ .362 .221+ .01+0

05 .362 .221+ .01+0

06 .362 .223 .01+0

07 .362 .223 .01+0

08 .362 .223 .039

09 .362 .223 .039

10 .362 .222 .039

11 .362 .222 .038

12 .362 .222 .038

13 .361 .222 .038

ll+ .361 .221 .037

15 .361 .221 .037

16 .361 .221 .037

17 .361 .221 .036

18 .361 .220 .036

19 .361 .220 .036

20 .361 .220 .036

21 .36O .220 .035

22 .36O .220 .035

23 .360 .219 .035

Oct Nov Dec

.11+1+ .315 • 391*-

.11+1+ .31^ .391+

.11+5 .31^ • 39^

.11+5 .31!+ .391+

.11+5 .31^ .391+

.11+6 •311+ • 395

.11+6 .313 .395

.11+6 .313 • 395

.11+6 .313 • 395

.11+6 .313 .395

.11+7 .313 .395

.11+7 .313 • 395

.11+7 .312 .395

.11+8 .312 • 395

.11+8 .312 • 395

.11+8 .312 .395

.11+8 .312 .395

.11+9 .312 • 395

.11+9 .312 -395

.11+9 .311 .395

.11+9 .311 .395

.150 .311 .395

.150 .311 .395

.150 .311 .396
- 6 -

Anchorage, Alaska (6l.2°N, l»+9-9°W) Time: 150°tf

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03 .034

04 .061 .126 .090

05 .025 .172 .233 .197 .086

06 .147 .290 .347 .312 .207 .059

07 .072 .270 .1*08 .462 .428 .327 .183 .024

08 .015 .190 .385 .518 .568 .537 .441 .298 .136

09 -116 .293 .483 .611 .660 .631 .538 .395 .229 .066

10 .063 .197 .373 -559 .681 .730 .701+ .6l4 .469 .298 .136 .042

11 .112 .250 .426 .606 .725 -774 .759 .662 .514 .338 .175 .084

12 .131 .274 .447 .622 .738 .789 .769 .680 .528 .346 .182 .096

13 -121 .266 .436 .606 .721 .774 .757 -666 .508 .322 .159 .078

14 .080 .226 .392 .559 .673 .729 .715 .622 A58 .267 .106 .031

15 .013 .157 .320 .483 .599 .659 .650 .549 .379 -185 .027

16 .065 .223 .385 .504 .568 .554 .453 .277 .081

17 .110 .271 .393 .461 .448 .341 .163

18 .148 .275 .347 .332 .221 .035

19 .026 .158 .232 .216 .099

20 .049 .126 .107

21 .034 .012

22

23
- 7

-

Baguio, Philippines (l6.1*°N, 120. 6°E) Time: 120°E

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

0k

05

06 .056 .115 .120 .090 .060 .0^5 .026

07 .103 .132 .209 .301 .3^9 .3^7 .322 .302 .291 .269 .21^ *lkk

08 .321 .362 .kk3 .528 ,k66 .559 .538 .527 -519 .^91 -^1 -35^

09 .510 .563 -6Vf .722 .750 .7k0 .725 .721 .713 -676 .fok .531

10 .658 .722 .805 .871 .889 .879 .869 .870 .859 .812 .733 -666

11 .75*+ .827 .907 .963 .97^ .965 .962 .965 -9^8 .890 .807 .7^7

12 .792 .871 .914-7 .993 .999 -993 .996 .999 .973 .905 .820 .769

13 .769 -852 .922 .958 .962 .961 .969 .970 .932 .855 .771 .732

Ik .686 .771 .833 .862 .865 .871 .883 .879 .829 *lkh .663 .637

15 .550 .632 .687 .710 .716 .729 -Ikk -733 .671 .591 .505 A91

16 .369 .kk-J .493 .512 .52k .5^6 .562 .5^1 .^68 .372 .305 .305

17 .156 .226 .265 .283 .303 .332 .3kQ .318 .235 -137 .079 .089

18 .018 .038 .067 ,ioi* .117 .077

19

20

21

22

23
- 8 -

Barrow, Alaska (71.3% 156.8°W) Time: 150°W

Hourly value si of cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .002 .083 .055

oi .005 .083 .054

02 .028 .104 .073

03 .070 .1*6 .HI

04 .127 .198 .165 .042

05 .041 .197 .266 .231 .112

06 .121 .274 -340 .306 .189 .021

07 .204 .353 .417 .38*1- .270 .104

08 .077 .283 .429 .490 .459 -3^9 .184 .00*4-

09 .151 - 351*- .497 .556 .526 .419 .255 .072

10 .027 .212 .412 .551 .610 .582 .476 .311 .126

11 .072 .256 .453 .589 .648 .622 .517 .350 .161

12 .097 .280 .^73 .607 .667 .643 .538 .369 .177 .008

13 .101 .282 .^72 .605 .666 .644 .539 .366 .170 .001

14 .084 .263 .4-50 .582 .645 .624 .518 .342 .143

15 .047 .224 .408 .541 .606 .586 .478 .297 .096

16 .166 .350 .484 .551 .532 .421 .236 .033

17 .095 .259 .414 .485 -465 -351 .166

18 .016 .198 .337 .410 .390 .272 .080

19 .116 .289 .334 .312 .191

20 .183 .260 .237 .112

21 .116 .194 .169 .041

22 .062 .140 .113

23 .024 .103 .073
- 9

-

Belvoir , Virginia (38.7% 77. 1°W) Time: 75°w

Hourly valuer of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

ok

05 .036

06 .075 .186 .220 .185 .110 .021

07 .118 .276 •378 .1*06 • 37^ .307 .223 .126 .017

08 .087 .17^ .312 .k6k .558 .582 • 553 .1*91* .1*12 .310 .191* .102

09 .21*6 . 3*4-2 .1*83 .628 .713 • 73^ .710 .657 .576 .1*67 .3^ .252

10 • 373 .kl8 .619 .756 .83I+ .85I* .83I* .785 .702 .587 .1*57 .368

n A59 • 573 .711 .81*0 .911 • 932 .917 .871 .783 .658 .526 .1*1*2

12 .1+99 .618 • 753 .871* .91*0 .961* • 95** .908 .813 .679 .5^5 .1*69

13 .if89 .612 • 7^3 .855 .919 .91*6 .91*1 .893 .789 .61+8 • 511* .1*1*8

Ik .1+30 .555 .680 .786 .81*9 .881 .880 .828 .71k .566 . *65 .379

15 .327 .1+50 .568 .670 • 735 • 773 .771* .717 .593 .1*39 .313 .267

16 .186 .306 .1+17 .515 .585 .629 .631 .567 .1*31* .276 .156 .121

17 .017 .131 .236 .333 .1*08 .1*60 .1*61 .389 .250 .088

18 .037 .135 .218 .255 .275 .191* .01*6

19 .026 .O89 .086

20

21

22

23
- 10 -

Bogota , Colombia (1*.5°N, 7k.2°ti) Times 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

ok

05

06 .025 .053 .01*3 .018 .013 .037 .062 .051 .001

07 .187 .187 .229 .279 .297 .279 .258 ,26k .29** .33A .293 .237

08 .1*13 .1*26 .1*72 .515 .521 .^99 .^83 .1*97 .530 .5^ .513 .^

09 .602 .635 .682 .717 .712 .687 .677 .698 .731 .736 .696 .639

10 .763 .799 .81+6 .870 .856 .830 .826 .853 .882 .877 .829 .778

11 .862 .908 .952 .966 .9^ .918 .922 .951 .97^ .957 .907 .861

12 .900 .953 .993 .996 .969 -9**7 .956 .986 .999 .972 .919 .86%

13 .876 .933 .966 .959 .929 .913 .928 .955 .957 .919 .867 .8H5

li* .789 .814-7 .873 .858 .828 .818 .838 .860 .81*9 .803 .755 .71*6

15 .61*7 .703 .720 .699 .672 .671 .693 .707 .681* .633 .589 .591*

16 .1*59 .509 .518 .1*91* .1*73 .!*80 .503 .508 .1*73 .to6 .382 .399

17 .237 .280 .280 .255 .21*3 .258 .280 .275 .230 .172 .11*7 .175

18 .030 .023 .001 .020 .01*1 .025

19

20

21

22

23
- 11 -

Byrd Base, Antarctica (80.0°S, 120. 0°^) Time: 120°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .196 .052 .11*5 .229

01 .200 .055 -151*- «235

02 .21** .069 .173 .252

03 .238 .09** .029 .201 .278

ok .270 .127 .066 .237 .312

05 .309 .166 .109 .277 .351

06 .350 .209 .032 .15** .320 .392

07 .392 .253 .077 .198 .362 .1*33

08 .1*32 .295 .119 .036 .239 -toO .1*72

09 M6 .331 .156 .071 .273 .^32 .501*

10 .1*93 .360 .185 .098 .298 . lj-56 .529

11 .511 .379 .201* .115 .313 .^70 .5^

12 .518 .387 .211 .005 .120 .316 .1*72 .5^9

13 .51^ .38U .206 .ll** .308 .k6k ,5k2

Ik .14.99 .370 .191 .096 .289 .hkk .525

15 .^75 .3^5 .161* .068 .260 A16 .499

16 .1*1*2 .311 .129 .031 .223 .380 ,k66

17 .1*01* .271 .088 .181 .339 .^27

18 .362 .228 .01*3 .136 .296 .386

19 .320 .183 .092 .253 .3^5

20 .280 .11*1 .052 .215 .307

21 .21*5 .101* #019 #182 .271*

22 .218 .075 .158 .250

23 .200 .055 .11*1* .235
_ 12 _

Cape Canaveral, Florida (28.4°N, 80.6°W) Timet 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06 .086 .109 .075 .017

07 .090 .221 .303 .320 .288 .240 .187 .125 .01+2

08 .136 .213 .312 A38 .510 .522 .494 .454 .405 .338 .23^ .162

09 .322 .396 .512 .630 .693 .701 .678 .645 .597 .523 .423 .339

10 .k-jk .559 .672 .785 .838 .845 .828 .800 .750 .667 .554 .479

11 .583 .677 .791 .892 .938 .944 .933 .909 .854 .762 .651 .574

12 .640 .741 .852 .943 .983 .992 .987 .963 .901 .799 .686 .617

13 .642 .748 .854 .935 -973 .985 .985 .960 .889 .777 .664 .606

14 .588 .696 .796 .870 .906 .924 .928 .893 .817 .698 .587 .540

15 .483 .590 .683 .750 .788 .812 .820 .785 .692 .566 .460 .425

16 .332 .436 .521 .585 .627 .659 .668 .625 .521 .391 .291 .268

17 .148 .246 .324 .386 .434 A73 .482 .431 .319 .184 .093 .080

18 .031 .102 .165 .221 .268 .275 .215 .092

19 .005 .057 .061

20

21

22

23
- 13 -

Cape Hallett(Mare), Antarctica (72.4°S, 170.9°E) Time: l65°E

Hourly values of cos X for 15th day of each month

1ST Jan Feb Mar Apr May Jun Jul

00 .065

01 .079

02 .111

03 .160 .014

04 .220 .077

05 .290 .11+9

06 .363 .225 .057

07 .U35 .300 .134

08 .501 .370 .205 .011

09 .556 .429 .264 .071

10 .597 A73 .307 .111

11 .621 .499 .333 .133

12 .626 .506 .338 .136

13 .612 .14-92 .322 .117

14 .579 -460 .287 .080

15 .531 .4io .235 .026

16 A70 .3V7 .169

17 .4oo .276 .094

18 .327 .198 .015

19 .254 .122

20 .188 .052

21 .132

22 .091

23 .067

Aug Sep Oct Nov

.017

.039

.079

.134

Dec

.101

.119

.155

.206

.033 .200 .268

.110 .273 .339

.188 .31+8 .14-11

.061 .263 .1419 .481

.129 .329 .1+82 .544

,186 .383 .533 .596

.032 .226 .14-20 .567 .633

.056 .ski .1+37 .584 .651

.060 .248 .435 .581 .652

.01*3 .228 Al3 .558 .634

.009 .190 .372 .518 .598

.135 .315 .I4-63 .5^7

.067 .21*6 • 397 .484

.171 .323 .414

.093 .21+8 .342

.018 .177

.113

.062

.027

.010

.272

.209

.158

.121

.102
- 14 -

Chiclayo, Peru (6.8°S, 79-8°W) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06

07 .169 .138

08 .to .383

09 .611 .60k

10 .781 .785

11 .900 .915

12 .961 .984

13 .960 .988

Ik .896 .926

15 .774 .803

16 .602 .610

17 .392 .4io

18 .159 .167

19

20

21

22

23

,141 .153 .143 .114 .097 .123 .188 .250 .266 .228

,391 .396 .376 -341 .328 .364 .433 .489 .495 .453

.614 .611 .580 .541 .534 .578 .649 .696 .693 .651

.796 .783 .742 .701 .701 .751 .819 .857 .846 .807

,924 .901 .851 .811 .817 .871 .933 .960 .944 .912

,989 .955 .899 .862 .875 .929 .983 -999 .980 .957

.987 .943 .884 .851 .869 .922 .966 .972 .952 .941

,918 .866 .805 .779 .802 .851 .882 .879 .862 .864

,787 .728 .669 .650 .677 .719 .738 .727 .715 .731

,602 .539 .485 .475 .503 .537 .543 .527 .523 .551

,377 .312 .265 .263 .292 .315 .310 .293 .297 .337

.126 .062 .025 .031 .058 .071 .057 .040 .053 .104
- 15 -

Chimbote, Peru (9.1°S 78.6°W) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06 .022 .054 .026

07 .202 .167 .163 .166 .149 .117 .101 .133 .206 .275 .296 .261

08 .1+32 .1*09 .410 .406 .379 .3IH .330 .371 .448 .510 .522 .484

09 .637 .626 .629 .617 .579 .537 .532 .581 .659 .713 .716 .677

10 .802 .802 .806 .78^ .736 .693 .694 -7^9 -824 .868 .864 .829

11 .917 .927 .928 .896 .840 .797 -805 .863 .932 .966 .956 .928

12 .973 .990 .988 .945 .883 .843 .857 .916 .977 1.000 .987 .969

13 .966 .989 .980 .928 .862 .827 .847 -904 .954 .967 .954 .947

14 .898 .922 .906 .845 .779 .750 .775 .828 .865 .870 .859 .866

15 .772 .795 .771 .703 .639 .618 .646 .692 .717 .714 .710 .730

16 .598 .616 .584 .512 .453 .440 .470 .507 .520 .520 .515 .548

17 .386 .398 .357 .284 .232 .227 .257 .285 .286 .277 .288 .333

18 .153 .154 .106 .034 .023 .040 .033 .024 .045 .100

19

20

21

22

23
- 16 -

College - Fairbanks, Alaska (64.9% l47.8°W) Time: 150°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02 .028

03 .023 .093 .058

Oil- .110 .176 .i4i .023

05 .058 .209 .272 .236 .123

06 .168 .313 -373 .338 .230 .075

07 .073 .275 .417 .^73 .440 .336 .183 .016

08 .176 .374 .511 .566 .535 -h3h .283 .113

09 .084 .264 A59 -591 .644 .615 .518 .366 .192 .030

10 .015 .155 .332 .522 .650 .703 .677 .581 .428 .250 .085

11 .0514- .196 .375 .560 .685 .738 .715 .620 .464 .281 .115 .024

12 .068 .212 .389 .570 .693 • 7^8 .727 .632 .472 .284 .118 .031

13 .055 .201 .375 .552 .674 .731 .712 .616 .451 .259 .093 -012

14 .016 .163 .333 .507 .629 .688 .672 .573 -^02 .207 .043

15 .099 .266 .438 .561 .623 .608 .506 .330 .131

16 .015 .179 .349 .474 .541 .525 .419 .238 .038

17 .077 .246 .376 .445 .429 .319 -137

18 .138 .271 .3^ .327 .212 .022

19 .031 .168 .244 .225 .105

20 .074 .152 .130 .006

21 .073 .049

22 .014

23
- 17 -

Concepcion, Chile (36.6°S, 73.0°V) Time: 75°t*

Hourly values of cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

01*

05 .018 .066 .086

06 .212 .112 .020 .011 .163 .265 .278

07 A06 .315 .228 .132 .01+3 .067 .217 .366 .1*58 .1*67

08 .586 .506 .1*21 .319 .222 .155 .160 .251* .1*06 .51*9 .633 .61*0

09 .7^2 .671 .588 .1*79 .372 .303 .31^ .^13 .565 .700 .778 .786

10 .862 .800 .716 .599 .U85 .1*15 A31 .535 .683 .810 .882 .89I*

11 .938 ,883 .797 .671 .551 .^3 .501* .610 .753 .871 .939 .958

12 .961* .915 .825 .691 .567 .501 .528 .63I* .768 .878 .91*5 .972

13 .9^ .891* .799 .656 .530 .1*69 .501 .601* .730 .832 .899 .936

ll* .866 .820 .719 .570 .1*1*5 .390 .1*25 .523 .639 .73^ .801* .852

15 .1U8 .700 .592 .1*39 .316 .267 .301* .397 .503 .593 .668 .727

16 .59^ .5^1 .^26 .270 .153 .111 -1^9 .231* .330 .1*17 A98 .567

17 .1*13 -35^ .232 .077 .01*5 .130 .219 .307 .386

18 .220 .152 .021* .012 .108 .191*

19 .026 .005

20

21

22

23
- 18 -

Ellsworth, Antarctica (77.7°S, 1*1. 1°W) Time: 1*5°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .157 -012 .107 .191

01 .165 .019 .120 .202

02 .185 .01*0 .114-7 .226

03 .218 .073 .013 .185 .260

ok .260 .116 .061 .230 .303

05 .308 .166 .111* .281 .352

06 .359 .219 .01*5 .170 .331* .k03

07 .1+10 .273 .099 .019 .223 .38** .1*53

08 .1*57 .322 .150 .068 .271 .1+30 .1+98

09 .1*98 .365 .193 .109 .310 A67 .536

10 .528 .398 .225 .021* .139 .338 .1+93 .563

11 .511-6 .1*18 .21*1* .oia .156 .352 .506 .578

12 .552 .1*21* .250 .01*5 .159 -353 .505 .581

13 .5**3 .**17 .21*1 .031* .11*7 .339 .!*92 .569

ll* .522 .395 .218 .009 .122 .312 .1*65 .5**6

15 .**89 .362 .182 .081* .273 .**27 .511

16 .1*1*7 .319 .137 .038 .226 .381 .1*68

17 .399 .268 .085 .173 .330 .1*20

18 .31*7 .211* .029 .118 .277 .369

19 .296 .160 .065 .226 .319

20 .21*9 .110 .018 .180 .271*

21 .208 .067 .11*3 .236

22 .178 .031* .116 .209

23 .159 .013 .103 .193
- 19 -

Ft. Monmouth, Eev Jersey (1+0.3°N, Jh.l°^) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

01+

05 .01+3 .081+ .01+7

06 .120 .231 .266 .231 .156 .061+

07 .017 .156 .315 .M8 .1+1+8 .1+15 .3^8 .261 .159 .01+6

08 .110 .201 .31+3 .^96 .591 .616 .588 .527 .1+1+2 .336 .211+ .122

09 .260 .361 .501+ .651 .737 .760 .736 .681 .596 .1+82 .355 .263

10 .377 •

1*36 .629 .768 .81+7 .869 .850 .800 .711 .590 .1+57 .369

11 .1+53 .569 .710 .81+1 .911+ .937 .923 .87^ .781 .651 .515 .^33

12 .1+82 .601+ .71+1 .863 .932 .958 .9^9 .900 .799 .661 .521+ .1+1+9

13 .1+62 .587 .719 .856 .901 .931 .926 .875 .765 .619 A81+ .1+18

1^ -395 .521 .61+7 .756 .823 .858 .856 .801 .682 .529 .397 -3^1

15 .285 .1+09 .529 .633 .703 -7^ -7^ .683 .55^ .396 .269 .221+

16 .11+0 .260 .373 .1+75 .51+9 .596 .597 .529 .391 .230 .109 .071+

17 .083 .191 .292 .372 .1+26 .1+26 .350 .206 .01+2

18 .096 .183 .21+3 .21+1 .157 .001+

19 .062 .057

20

21

22

23
- 20 -

Godhavn, Greenland (69.2% 53.5°W) Time: 1+5°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .01+8 .020

01 .014-6 .017

02 .067 .035

03 .03^ .108 .075

oi+ .096 .167 .133 .010

05 .016 .172 .21+0 .205 .086

06 .101+ .256 .321 .285 .171 .006

07 .196 .3^ .^06 .373 .261 .098

08 .080 .281+ .U.29 .h8g .1+57 -3^8 .187 .011

09 .162 .361+ .505 .563 .533 -^27 .267 .088

10 .01+8 .232 .1+30 .567 .621+ .596 .1+93 .332 .150

11 .100 .283 .1+78 .611 .668 .61+2 .51+0 .378 .192 .021+

12 .130 .312 .503 .631+ .692 .668 .567 .1+01 .211 .01+3

13 .138 .318 .505 .635 .693 .672 .570 .1+01 .207 .039

11+ .122 .299 A83 .612 .673 .653 .550 .377 .179 .012

15 .083 .258 .1+39 .569 .632 .613 .508 .330 .130

16 .025 .197 .376 .507 .573 .555 .M+6 .261+ .062

17 .120 .298 .1+31 .501 .1+82 .370 .188

18 .032 .211 .3^7 .^19 .^00 .281+ .09I+

19 .120 .260 .33I+ .31^ .19^ -002

20 .032 .175 .252 .230 .107

21 .100 .177 .15^ -027

22 .038 .116 .090

23 .073 .01+3
-. 21 -

Grand Bahama (26.6°N, 78.2^) Time: 75^

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06 ,024 .110 .130 .097 .0*6

07 .024 .129 .254 -330 .344 -313 .270 .224 .168 .088 .008

08 .182 .243 .352 .471 .538 .546 .520 .485 -442 .380 .292 .209

09 .367 .439 .551 .662 .718 .723 -702 .674 .632 .563 .467 -384

10 .516 .598 .710 .812 .860 .864 .848 .825 .781 .702 .600 .520

11 .618 .710 .820 .912 .953 .957 .947 .927 .878 .790 .683 .613

12 .668 .766 .872 .955 .990 .997 .993 .974 .916 .818 .710 .644

13 .661 .764 .864 .938 .970 .981 .983 .961 .894 .787 .678 .624

14 .598 .702 .796 .863 .894 .911 .916 .891 .813 .698 .591 .549

15 .483 .586 .673 .733 .767 .790 .799 .767 .678 .556 .455 .424

16 .324 .423 .502 .559 .597 .628 .638 .598 .498 .372 .278 .259

17 .132 .225 .297 .353 .396 .435 .445 .396 .287 .158 .072 .064

18 .005 .069 .126 .179 .224 .233 .174 .056

19 .011 .016

20

21

22

23
- 22 -

Guam, Marians Islands (13.6°N,. lM+.9°E) Time: 150°E

Hourly value$ of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

01+

05

06 .006 .010

07 .033 -050 .117 .201 ,2k6 .243 .216 .198 .196 .187 .lUb .079

08 .261 .291 .362 .W) .kfk .1+65 .M+3 .^35 .^37 .^22 .369 .300

09 .1+67 .508 .582 .652 .675 .663 .6b6 ,6\6 .61+9 .625 .56*+ .1+68

10 .63^ .708 .762 .822 .836 .821 .811 .816 .817 .78^ .716 .6*1-9

11 .753 .816 .889 .939 .9^ .930 .926 .935 .930 .887 .813 .753

12 .815 .886 .955 •991»- .993 .981 .98^ .99^ .981 .927 .851 .799

13 .815 .891 .955 .98^ .980 .972 .981 .989 .966 .902 .825 .785

li+ .75^ .833 .889 .910 .905 .903 .916 ,921 .886 .813 .739 .701+

15 .637 .71^ .762 .777 .773 -779 .796 .793 -7^6 .666 .597 .572

16 .1+70 .51+3 .583 .593 .591+ .608 .626 .616 .556 .1+71 A09 .395

17 .265 .331 .363 .371 -379 .^02 .1+20 .1+00 .330 .21+2 .189 .181+

18 .037 .09!+ .118 .127 .Ihh .175 .191 .161 .081

19

20

21

22

23
- 23 -

Huancayo, Peru (12.0°S, 75.3°^) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb- Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

ok

05

06 .033 .002 .081+ .123 .097

07 .270 .230 .218 .209 .182 .Ikk .131 .171 -255 .332 .360 .329

08 .kgk .k66 A58 .kk2 .kok .361 .353 -^02 .1+89 .560 .578 .5kk

09 .689 .673 .667 .642 .594 • 5*4-8 .51+6 .602 .689 .752 .761 .728

10 .8ii-3 .838 .831 .797 .739 .692 .696 .758 .8la .894 .897 .868

11 .944 .949 .9^0 .89!)- .829 .783 .794 .859 .936 .978 .976 .954

12 .986 .998 -984 .929 .858 .815 .832 .897 .965 .997 .992 .981

13 .966 .982 .962 .897 .824 .786 .809 .871 .928 .950 .9^6" .9^6

14 .886 .903 .875 .802 .729 .698 .725 .782 .827 .840 .841 .853

15 .750 .765 .729 .650 .580 .557 .586 .637 .669 .676 .681 .708

16 .568 .578 .531+ .452 .390 .371 .^03 .kkk .465 .11-67 .^80 .519

17 .353 .355 .303 .219 .162 .156 .186 .218 .227 .229 .250 .301

18 .119 .ill .052 .008 .069

19

20

21

22

23
- 2k -

La Paz, Bolivia (l6.5°S, 68.0°w) Time: 75°W

Hourly va lues of cos ;X. for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

Ok

05 .023 .008

06 .175 .119 .089 .066 .031+ .025 .119 .213 .260 .238

07 .^03 .358 .331+ .305 .262 .216 .208 .261 .360 .1+1+9 .1+89 .1+59

08 .610 .578 .556 .520 .1+66 .1+16 A13 .1*75 • 575 .657 .681+ .657

09 • 783 .762 .7^2 .696 .633 .581 .581+ .652 .750 .823 .81+2 .818

10 .910 .899 .877 .822 .7^9 .698 .707 • 779 .873 .936 .91*9 .930

11 .982 • 979 .95^ .888 .809 • 759 .775 .81+9 • 935 .987 .997 .987

12 • 99^ .996 .966 .890 .807 .762 .781+ .856 •933 • 97^- .983 .981+

13 • 9^5 .950 .913 .829 .7^ .705 • 731 .800 .865 .898 .909 .922

Ik .839 .81+3 .799 .707 .621+ .592 .622 .685 • 738 .763 • 778 .805

15 .682 .681+ .630 • 535 .1+56 .1+31 .1+63 .518 .559 • 579 .601 .61+0

16 .1+86 .1+81 .1+20 • 322 .250 .233 .266 .312 .3^2 .359 .388 .1*39

17 .26k .251 .182 .081+ .020 .012 .01+3 .079 .098 .117 .155 .217

18 .031 .007

19

20

21

22

23
- 25 -

Little America, Antarctica (78»3°S, l62.2°W) Time: l65°W

Hourly values of cos X for 15th day of each month

LST Jan Fe"b Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .165 .021 .115 .199

01 .172 .026 .127 .209

02 .191 .0^5 '152 .230

03 .221 .076 .015 .187 .263

oi+ .261 .117 .061 .230 .301+

05 .307 .165 .112 .279 .351

06 .356 .216 .oia .165 .329 .^00

07 .1+05 .267 .093 -012 .216 .378 .1+1+8

08 .1*51 .315 .11+2 .060 .263 .1+22 .1+92

09 .1+90 .357 .181+ .100 .301 .1+58 .528

10 .520 .389 .216 .015 .130 .328 .1+85 .555

11 .539 .^09 .235 .032 .11+7 -3^ A98 .571

12 .51+5 Al7 .21+2 .036 .151 .3^5 .^99 .57^

13 .538 .1+10 .231+ .027 .11+0 .333 .^86 .56k

11+ .518 .391 .213 .001+ .117 .307 .1+61 .51+2

15 .1+87 .360 .180 .082 .271 A26 .510

16 .l+J+8 .318 .137 .038 .227 .382 .1+69

17 .1+01 .270 .087 .176 .333 .^23

18 .352 .219 .031+ .121+ .283 .37I+

19 .302 .167 .072 .233 .326

20 .256 .118 .026 .189 .282

21 .216 .076 .152 .21+5

22 .189 .01+1+ .126 .218

23 .168 .023 .112 .203
- 26

LST

00

01

02

03

01+

05

06

07

08

09

10

11

12

13

14

15

16

IT

18

19

20

21

22

23

Maui, Territory of Hawaii (20.8°N, 156.5^) Time: 150^

Hourly values of cos X for 15th day of each month

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

.029 .043 .010

.087 .195 .260 .267 .237 .203 .176 .141 .079 .006

.186 .232 .324 .427 .481 .482 .457 .432 .412 .368 .297 -220

.386 .443 .538 .633 .677 .674 .654 .637 .615 .567 .487 .409

.550 .619 .715 .800 .834 .830 .816 .805 .781 .724 .636 .561

,669 .747 .841 .917 .943 .939 .931 .923 .894 .827 .735 -666

,733 -819 .910 .975 .995 .993 .992 .985 .949 .871 .776 .715

,738 .830 .916 .971 .987 .990 .993 .986 .939 .852 .757 .706

,685 .778 .857 .905 .920 .928 .936 .925 .867 .771 .678 .640

,576 .669 .740 .781 .798 .813 .825 .807 .737 .634 .546 .520

,419 .508 .572 .608 .629 .652 .665 .640 .558 .450 .369 .356

,225 .308 .363 .398 .425 -456 .470 .435 .344 .232 .159 .157

.007 .081 .129 .165 .200 .239 .251 .206 .105

.015 .024
- 27 -

Narsarssuak, Greenland (6l.2°N, k5.k°ti) Time: i+5°W

Hourly valueis of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03 .031

Ok .057 .122 .086

05 .020 .168 .229 .193 .082

06 .1^3 .286 .3^3 .308 .202 .055

07 .068 .266 .1+05 A58 .1*25 .32^ .179 .021

08 .187 .382 .515 .565 -531* M& .295 .133

09 .ll1 * .291 A8l .609 .658 .629 .536 .393 -227 .069

10 .062 .196 .372 .558 .680 .729 .703 .613 A68 .297 .136 .01*2

11 .112 .250 .1*26 .606 .725 .Ilk .751 .662 .511* .338 .175 .081+

12 .133 .275 -W .623 .739 .790 .770 .681 .529 .3**8 .181+ .097

13 .123 .268 .1*38 .608 .723 .776 .759 .668 .511 .321* .161 .080

li* .083 .229 -395 .562 .676 .732 .717 .621* .1*61 .270 .109 .035

15 .017 .161 .321* .U87 .603 .662 .61+9 -552 .382 .189 .031

16 .069 .228 .389 .508 .571 .558 •

1*57 .281 .085

17 .111* .275 -397 .^65 .1+51 31*5 .168

18 .152 .279 .350 .335 .221+ .039

19 .029 .161 .235 .219 .103

20 .052 .128 .109

21 .036 .014

22

23
- 28

Okinawa, Ryukyu (26.3°N, 127- 8°E) Time: 135°E

Hourly values of cos X for 15th day of e ach month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

Ok

05

06 .050 .071 .037

07 .068 .193 .272 .286 .255 .209 .163 .109 .033

08 .131 .189 .296 . 14-16 .m .W .14-66 .14-29 .387 .328 .21+3 .161

09 • 32k • 393 .503 .615 .61k .679 .657 .627 .587 .520 .1+27 .$kk

10 .1+81+ .563 .&?k .778 .827 .831 .8114- .790 .7W .673 .572 .1+92

11 .600 .688 .798 .893 .93^ • 937 .926 .906 .859 • 775 .669 .591+

12 .66k .760 .867 .951 .986 .992 .987 .968 • 9\k .819 .712 .6kk

13 .672 .773 -875 .950 .982 .991 .991 • 971 .908 .801+ .696 .638

Ik .623 .727 .822 .890 .920 • 935 .939 .916 .81+2 .729 .623 • 577

15 .521 .61+5 .712 .773 .805 .827 .835 .805 .720 .600 .1+98 .1+65

16 .373 .^73 • 553 .610 .614-5 .67^ .681+ .61+7 .550 .1+26 .330 .309

17 .188 .282 .355 .14-09 .14-51 .lj-88 .14-98 .1+52 .3^6 .218 .131 .120

18 .066 .131 .186 .236 .280 .288 .233 .117

19 .015 .065 .071 .006

20

21

22

23
- 29 -

Panama, Canal Zone (9.4°N, 79.9^) Time: 75°W

Hourly values of cos X for 15th da;y of e ach month

L5T Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06

07 .065 .073 .128 .197 .232 .223 .198 .189 .201 .206 .175 .114

08 .297 .317 .376 .439 .463 .448 .428 .429 .445 .444 .402 .338

09 • 504 .536 .598 .653 .666 .648 .633 .642 .659 .649 • 599 .535

10 .673 .717 • 779 .825 .827 .807 .799 .814 .828 .809 .752 .690

11 • 792 .814-6 .907 .9^2 .936 .916 .915 •933 • 9^2 .912 .850 •79^

12 .853 .915 •972 .996 .984 .967 •972 .991 .992 .951 .886 .840

13 .853 .920 .971 .985 .969 .957 .967 .985 • 975 .924 .859 .824

14 .789 .859 .902 .908 .892 .885 .901 .914 .892 .832 .769 .748

15 .669 .737 .772 .772 • 757 .758 •777 .784 .749 .682 .624 .616

16 .14-98 .562 .589 • 584 .57^ .584 .604 .602 .556 .484 ^33 .438

17 .290 • 3^7 .366 .359 .356 .374 .394 .383 .325 .251 .209 .226

18 .058 .105 .117 .ill .117 .1*4-3 .162 .140 .072

19

20

21

22

23
- 30 -

Puerto Rico, West Indies (l8.5°N, 67.2^1) Time: 60°W

Hourly values of cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

0k

05

06 .005 .016

07 .079 .180 .239 .2*1-3 .215 .185 .165 .138 .083 .013

08 .195 .23^ .320 .lj-15 .^6U .I4-63 A38 .*H8 .*K)2 .370 .305 .231

09 .398 .1+50 .539 .626 .665 .659 .6^0 .627 .613 .573 .500 .k2k

10 .570 .630 .720 .798 .827 .819 .806 .799 .783 .73*+ .653 .581

11 .690 .762 .851 .919 .939 .932 .925 .922 .901 .8*1-2 .755 .689

12 .757 .838 .923 .981 .995 .990 .989 .987 .959 .889 .800 .fkl

13 .766 .852 .931 .980 .989 .988 .993 .991 .952 .873 .783 .735

1*1- .71*4- .803 .875 .915 .92*1- .929 .938 .932 .882 .79*1- .706 .670

15 .606 .69^ .759 .792 .802 .81*1- .827 .815 .753 .657 .57**- .551

16 .*A8 .533 .590 .619 .633 .653 .667 .6*1-7 .573 .*^72 .396 .386

17 .253 .331 .380 .ij-07 .1*27 A55 .^70 .kkO .357 .252 .185 .186

18 .032 .102 .14*1 .171 .200 .235 .2*1-9 .209 .115 .012

19 .008 .018

20

21

22

23
31

Reykjavik, Iceland (64.1°N, 21.8°W) Time: 15°W

Hourly valuer, of cos X for I5th day of 3ach month

ST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03 .o4i .007

Ok .047 .116 .080

05 .1^3 .207 .171 .056

06 .099 .247 .303 .273 .162 .007

07 .009 .212 .356 A13 • 379 .273 .121

08 .120 .320 A59 .51^ .1*81 -379 .229 .063

09 .0*1-1 .221 .1+17 .551 .604 -57* .1*75 .326 .156

10 .124 -30*4- .496 .625 .677 .6^9 • 55* .1+03 .229 .066

11 .046 .185 • 36k •551 .676 .728 .703 .609 .1*56 .278 .113 .020

12 .076 .219 .396 .579 .701 .75^ • 732 .638 .482 .298 .133 .044

13 .080 .225 .14-00 .578 .698 .753 • 73^ .639 .1*78 .290 .124 .040

ii+ .055 .202 .373 .5^7 .667 .721+ .707 .611 .1*1*5 .252 .088 .009

15 .005 .151 .319 .490 .611 .671 .655 .556 .385 .189 .027

16 .077 .24l .410 .533 .596 .581 .1*78 .301 .103

17 .1*5 -312 .438 .505 .1*90 .383 .201* .001

18 .036 .204 .333 .404 .388 .276 .090

19 .093 .226 .300 .282 .165

20 .123 .199 .179 .058

21 .031 .109 .087

22 .036 .011

23
- 32 -

San Francisco, California (37-^% 122. 2°W) Time: 120°W

Hourly values of cos X for 15th day of each month

LST Jan Fe"b Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

ok

05 .025

06 .071 .179 .212 .177 -10k .020

07 .121 .275 .375 'k02 .369 .305 .225 .133 .026

08 .099 .183 .319 -k&l .558 .580 .552 .1*95 -M8 .320 .206 .115

09 .261 .355 -^93 .63^ .716 .735 .712 .661 .58!* .1*87 .359 .268

10 .391 *k9k .631 .765 .839 .858 .838 .792 .713 .601 .1*71* .387

11 .1*78 .590 .725 .850 .918 .937 .923 .880 .795 .67k ,$kk .k62

12 .519 .636 .768 .885 .9^8 .969 .960 .917 .826 .696 .565 A90

13 .509 .630 .757 .866 .926 .952 .9^7 .902 .802 .66k .533 .1*68

li* .1*14-9 .572 .693 .795 .855 -886 .885 .836 .726 .581 .1*53 .398

15 .3^ .^65 .580 .677 .739 .776 .778 .723 .603 .1*52 .328 .281*

16 .201 .318 .1*26 .520 .586 .630 .632 .570 .1*1+1 .286 .169 .135

17 .029 .11*0 .252 .331* .1*06 .1*57 .1*59 .389 .253 .095

18 .039 .133 .213 .269 .269 .191 .01*5

19 .018 .079 .077

20

21

22

23
- 33 -

San Salvador, Bahama Is . (24.1°N, 74.5°W) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

04

05

06 .076 .153 .1.68 .136 .090 .049 .004

07 .046 .093 -192 .308 .376 .385 -356 .320 .284 .235 .159 .081

08 .254 .312 .415 .525 .582 .586 .562 .534 .501 .446 .361 .281

09 .434 .504 .609 .710 .759 -759 »7^0 .719 .685 .622 .530 .1+50

10 .575 .655 .760 .852 .891 .89.1 .878 .862 .825 .752 .654 .578

11 .667 .756 .858 .9^0 .972 -973 .966 .952 .909 .827 .725 .655

12 .703 .798 .896 .969 .996 1.000 .999 .985 -933 .841 .737 .677

13 .682 .781 .873 .936 .960 .970 .974 .957 .895 .793 .691 .642

14 .603 .703 .788 .844 .869 .884 .892 .871 -798 .688 .589 .552

15 .474 .572 .649 .700 .727 .750 .760 .732 .647 .532 .438 .414

16 .302 .395 .465 .513 .545 .575 .587 .550 .454 .335 .248 .236

17 .100 .186 .248 .295 .334 .372 .383 .337 .233 -HI .033 .031

18 .013 .062 .110 .155 .164 .108

19

20

21

22

23
- 3^ -

St. John's, Newfoundland (kt.6°R, 52.7°W) Time: 60°W

Hourly values of cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

oi+ .001 .053 .015

05 .03I4- .163 .209 .172 .081

06 .029 .207 .329 .370 .336 .251 .1^+0 .017

07 .0k6 .201 .375 .490 .527 . 14-95 A17 .309 .183 .051

08 .093 .200 .358 .526 .633 .667 .639 .567 .^59 -328 .190 .095

09 .21^ .329 .k&j .650 .714-9 .782 .758 .690 .581 .kkk .301 .207

10 .302 .k-25 .582 .737 .831 .863 .8*6 .778 .666 .521 .375 .285

11 .352 .14-80 .635 .783 .872 .906 .890 .826 .709 .556 . 14-08 .324

12 .359 .k-92 .614-3 .78^ .870 .906 .895 .830 .706 .514-6 .398 .321

13 .3214- .14-59 .605 .739 .825 .865 .857 .790 .657 .^91 .3^ -276

Ik .214-8 .383 .5214- .65^ .7^0 .785 .779 .707 .566 .395 .252 .193

15 .138 .270 .14-05 .532 .621 .672 .667 .589 *kko .265 .126 .076

16 .128 .257 .382 .I4-75 .532. .528 .14-14-3 .286 .109

17 .089 .215 .31k .376 .371 .279 .118

18 .014-1 .1I4-8 .215 .207 .108

19 .058 .014-8

20

21

22

23
- 35 -

Talara, Peru (4.6°S, 8l.3°W) Time: 75^

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug

00

01

02

03

04

05

06

07 .132 .105 .115 .135 .132 .106 .087 .108

08 .368 • 352 .367 .381 .368 .335 .321 • 351

09 .580 .577 • 595 .600 .576 .515 •531 •570

10 .755 •764 .782 .778 .743 .705 .703 .748

11 .880 .900 .916 .902 .859 .821 .825 .874

12 .948 .975 .988 .963 .913 .878 .889 .939

13 .953 .986 .993 .958 .904 .873 .890 • 939

14 .895 .930 • 930 .886 .831 .806 .829 .873

15 • 778 .813 .804 • 753 .700 .683 .709 • 747

16 .610 .641 .624 .568 .520 .511 .538 .568

17 .1+02 .426 . 401 .343 .302 .301 .329 .349

18 .169 .184 .151 .094 .062 .069 .096 .105

19

20

21

22

23

.166 .220 .231 .190

.414 .463 .463 .418

.634 .674 .665 .620

.810 .841 .824 .782

.930 .951 .928 .892

.987 .997 .971 .944

.976 .975 .949 .934

.899 .889 .865 .862

.759 .742 .723 .734

.568 .545 .53^ .558

.338 .313 .309 .346

.085 .060 .066 .113
- 36 -

Thule, Greenland (76.6% 68.8°W) Time: 75°W

Hourly values of cos X for 15th day of each month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00 .O9I4 .172 .1^3 -015

01 .108 .185 .155 .027

02 .137 .212 .181 .055

03 .018 .177 .250 .218 .09^

Ok .069 .227 .298 .266 .114-3

05 .127 .283 .352 .319 .199 .023

06 .187 .3^0 .1407 .376 .258 .083

07 .037 .2*4-6 .396 . 14-62 .14-31 .315 .ite

08 .092 .299 .I4I+6 .511 Ml .367 .19^ -005

09 .138 .314-2 .1487 .551 .522 .14-10 .237 .014-5

10 .171 .37I4 .517 .580 .553 .I4I42 .267 .073

11 .006 .191 .390 .532 .596 .570 .14-59 .283 .086

12 .011 .195 .392 .533 .597 .573 .^62 .283 .083

13 .001 .183 .378 .518 .58I4 .561 .14-14-9 .267 .065

ih .157 .350 .1+90 .558 .535 A21 .236 .033

15 .117 .309 .^50 .519 .^97 .381 .193

16 .067 .258 .14-00 .V72 .I4I49 .331 .1^5

17 .009 .201 .3I45 .14-18 .395 .275 .082

18 .1I4-I .288 .363 .339 .216 .021

19 .083 .232 .308 .281+ .158

20 .031 .183 .259 .233 .105

21 .114-2 .219 .191 .062

22 .113 .190 .160 .030

23 .O9I4 .173 .1^6 .018
- 37 -

White Sands, New Mexico (32.3% 106.5°W) Time: 105°W

Hourly values of cos X for 15th day of e*ach month

LST Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01

02

03

o4

05

06 .067 .164 .191 .156 .093 .025

07 .023 .143 .283 • 372 • 392 .361 .307 .243 .167 .072

08 .154 .220 .352 .487 .566 .581 .554 .508 .447 .365 .262 .175

09 .325 .410 .536 .663 • 733 .745 .723 .683 .623 • 533 .423 • 336

10 .k6l .556 .681 .800 .861 .873 .856 .821 .758 .660 .544 .460

n • 553 .655 .779 .889 .943 .956 .944 .912 .843 .736 .616 • 538

12 .593 .702 .822 .923 .972 .987 .981 .949 .873 • 757 .635 .565

13 .580 .693 .808 .900 .947 .966 .965 • 931 .845 .721 .600 .540

Ik .514 .629 .738 .823 .869 .894 .896 .858 .762 .630 .512 .463

15 .401 .51^ .615 .695 .744 • 775 .730 .736 .629 .491 .378 .341

16 .2k6 • 355 .450 .526 • 579 .618 .624 .572 .454 .313 .206 .180

17 .062 .165 .252 .327 .387 .433 .439 • 378 .253 .108 .010

18 .036 .113 .181 .233 .237 .167 .033

19 .031 .032

20

21

22

23
- 38 -

Wilkes , Antarctica ( 66. 3°S, 110. 6°E) Time: 105°E

Hourly values cos X for 15th day of each month

LST Jan Feh Mar Apr May Jun Jul Aug Sep Oct Nov Dec

00

01 .018

02 .018 .065

03 .082 .065 .133

0k .163 .021 .153 .216

05 .255 .116 .092 .250 .309

06 .353 .218 .060 .196 .350 .1+06

07 M9 .319 .163 .098 .296 .1*1*5 .1*99

08 .537 A12 .257 .077 .190 .385 .530 .583

09 .611 .1*91 .336 .153 .00U .073 .266 .1*57 .598 .652

10 .666 .550 .395 -207 .051* .001 .129 .320 .506 ,6M* .702

11 .699 .586 .1*29 .237 .082 .003 .032 .161 .31*8 .531 .667 .728

12 .706 .596 .437 .21+1 .O83 .006 .037 .166 .350 .528 .663 .729

13 .687 .578 .1*17 .217 .059 .018 .11*5 -32lf .1*98 .63I* .705

Ik. .645 .535 .371 .168 .011 .099 .273 -kkh .581 .658

15 .581 .1*70 .302 .097 .031 .200 .369 .508 .590

16 .500 .386 .211* .009 .110 .278 .1*20 .507

17 .1*06 .290 .115 .006 .177 .322 .1*11*

18 .309 .188 .010 .073 .223 .318

19 .213 .086 .127 .221*

20 .121* .01*2 .11*0

21 .050 .071

22 .022

23


USCO*M-NeS-Bl