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Table 828. Elements of Solar Motion

Table 828. Elements of Solar Motion

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732



T A B L E 829.-PERPETUAL



CALENDAR *



This calendar gives the day of the week for any known date from the beginning of the Christian

Era down to the year 2400.

Dominical letters

Century

Year



Julian Calendar

100

800

1500t



200

900



300

1000



400

1100



500

1200



600

1300



DC

B

A

G

FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA

G

F

E

DC



ED

C

B

A

GF

E

D

C

BA

G

F

E

DC

B

A

G

FE

D

C

B

AG

F

E

D

CB

A

G

F

ED



FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA

G

F

E

DC

B

A

G

FE



GF

E

D

C

BA

G

F

E

DC

B

A

G

FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF



AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA

G

F

E

DC

B

A

G



BA

G

F

E

DC

B

A

G

FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA



CB

A

G

F

ED

C

B

A

GF

E

D

C

BA

G

F

E

DC

B~

A

G

FE

D

C

B

AG

F

E

D

CB



0



1 29 57 85



2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28



30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56



58 86

59 87

60 88

61 89

62 90

63 91

64 92

65 93

66 94

67 95

68 96

69 97

70 98

71 99

72

73

74

75

76

77

78

79

80

81

82



83

84



FE



D

C

B

AG



1500$ 1600

2000



-_

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C



-_

-_

-_



1700

2100



BA

G

F

E

DC

B

A

G

FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA



C

B

A

G



FE

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF

E

D

C

BA

G

F

E

DC



1800

2200



E

D

C

B

AG

F

E

D

CB

A

G

F

ED

C

B

A

GF



E

D

C

BA

G

F

E

DC

B

A

G

FE



1900

2300



G



F

E



D

CB

A

G

F

ED

C

B

A

GE

E

D

C

BA

G

F

E

DC

B

A

G

FE

D

C

B

AG



Dominical letter



Month



June

Aug.

Sept., Dec.

1 8 15

2 9 16

3 10 17

4 11 18

5 12 19

6 13 20

7 14 21



Gregorian Calendar



0

700

1400



22. 29

23 30

24 31

25

26

27

28



F



A

D

G

B

E

C



B

E

A

C

F

D

G



C

F

B

D

G

E

A



D

G

C

E

A

F

B



Mon.

Tues.

Wed.

Thurs.

Fri.

Sat.



Sat.

Sun.

Mon.

Tues.

Wed.

Thurs.

Fri.



Fri.

Sat.

Sun.

Mon.

Tues.

Wed.

Thurs.



Thurs.

Fri.

Sat.

Sun.

Mon.

Tues.

Wed.



F

Sun.



G

C

F

A

D

B

E



B

E

G

C

A

D

Wed.

Thurs.

Fri.

Sat.

Sun.

Mon.

Tues.



Tues.

~.

Wed.

Thurs.

Fri.

Sat.

Sun.

Mon.

~



Mon.

Tues.

Wed.

Thurs.

Fri.

Sat.

Sun.



T o find the calendar for any year of the Christian Era, first find the Dominical letter for the

pear in the upper section of the table. Two letters are given for leap years ; the first is to be used

for January and February, the second for the other months. I n the lower section of the table,

find the column in which the Dominical letter for the year is in the same line with the month

f o r which the calendar is desired ; this column gives the days of the week that are to be used with

the month.

E.g., in the table of Dominical Letters ,ve find that the letter for 1951 is G ; in the line with

July, this letter occurs in the first column; hence July 4, 1951, is Wednesday.

Prepared by G . hf. Clemence, U. S. Naval Observatory.

and after 1582, Oct. 15 only.



SMITHSONIAN PHYSICAL TABLES



t On



and before 1582, Oct. 4 only.



$On



TABLE 8 3 0 . 4 U L l A N DAY CALENDAR



*



733



Days are numbered consecutively, beginning with the number 0, from Greenwich mean noon

on Jan. 1, 4713 B.C. The number of days since that time that have elapsed at Greenwich mean

noon on any given date is the Julian Day Number of that day.

For A.D. 0 to A.D. 1580 inclusive, the Julian Day Numbers in this table are the days elapsed

at Greenwich mean noon up to January 0 of the Julian Calendar in each leap year.

For 1584 t o 2096 inclusive, the Julian Day Numbers are for January 0 of the Gregorian Calendar, except that in 1700, 1800, and 1900, which were not leap years, they are for January - 1.

A.D.

0

4

8

12

16

20

24

28

32

36

40

44

48

52

56

60

64

68

72

76

80

84

88

92

96



AD

0

4

8

12

16

20

24

28

32

36

40

44

48

52

56

60

64

68

72

76

80

84

88

92

96



100

1757582

17 59043

1760504

1761965

1763426

1764887

1766348

1767809

1769270

1770731

1772192

1773653

1775114

1776575

1778036

1779497

1780958

1782419

1783880

1785341

1786802

1788263

1789724

1791185

1792646



200

1794107

1795568

1797029

1798490

1799951

180 14 12

1802873

1804334

1805795

1807256

1808717

1810178

1811639

1813100

1814561

1816022

1817483

1818944

1820405

182 1866

1823327

1824788

1826249

1827710

1829171



300

1830632

1832093

1833554

1835015

1836476

1837937

1839398

1840859

1842320

1843781

1845242

1846703

1848164

1849625

1851086

1852547

1854008

1855469

1856930

1858391

1859852

18613 13

1862774

1864235

1865696



400

1867 157

1868618

1870079

1871540

187300 1

1874462

1.875923

1877384

1878845

1880306

1881767

1883228

1884689

1886150

1887611

1889072

1890533

1891994

1893455

1894916

1896377

1897838

1899299

1900760

1902221



500

1903682

1905143

1906604

1908065

1909526

19 10987

1912448

1913909

10 15370

191683 1

1918292

1919753

1921214

1922675

1924136

1925597

1927058

1928519

1929980

1931441

1932902

1934363

1935824

1937285

1938746



600

1940207

1941668

1943129

1944590

1946051

1947512

1948973

1950434

195 1895

1953356

1954817

1956278

1957739

1959200

1960661

1962122

1963583

1965044

1966505

1967966

1969427

1970888

1972349

1973810

1975271



1100

1000

2086307 2122832

2087768 2124293

2089229 2125754

2090690 2127215

20921 5 1 2128676

2093 6 12 2130137

2095073 213 1598

2096534 2133059

2097995 2134520

2099456 2135981

2100917 2137442

2102378 2138903

2103839 2140364

2105300 2141825

2106761 2143286

2108222 2144747

2109683 2146208

21 11144 2147669

2112605 2149130

2114066 2150591

2115527 2152052

2116988 2153513

2118449 2154974

2119910 2156435

2121371 2157896

2451544

2000

2453005

2004

2454466

2008

2455927

2012

2457388

2016



1200

2159357

2160818

2162279

2163740

2165201

2166662

2168123

2169584

2171045

2172506

2173967

2175428

2 176889

2178350

2179811

2181272

2182733

2184194

2185655

2187116

2188577

2190038

2191499

2192960

2194421

2020

2024

2028

2032

2036



1300

2195882

2197343

2198804

2200265

2201726

2203187

2204648

2206109

2207570

2209031

22 10492

2211953

2213414

2214875

22 16336

2217797

2219258

2220719

2222180

2223641

2225102

2226563

2228024

2229485

2230946

2458849

2460310

2461771

2463232

2464693



1400

2232407

2233868

2235329

2236790

2238251

2239712

2241173

2242634

2244095

2245556

2247017

2248478

2249939

2251400

2252861

2254322

2255783

2257244

2258705

2260166

2261627

2263088

2264549

2266010

2267471

2040

2044

2048

2052

2056



1500

2268932

2270393

2271854

2273315

2274776

2276237

2277698

2279159

2280620

2282081

2283542

2285003

2286464

2287925

2289386

2290847

2292308

2293769

2295230

2296691

2298152$

22996035

2301064

2302525

2303986

2466154

2467615

2469076

2470537

2471998



1600

1700

2305447 234197 1t

2306908 2343432

1308369 2344893

2309830 2346354

2311291 2347815

2312752 2349276

2314213 2350737

2315674 2352198

2317135 2353659

2318596 2355120

2320057 2356581

2321 5 18 2358042

2322979 2359503

2324440 2360964

2325901 2362425

2327362 2363886

2328823 2365347

2330284 2366808

2331745 2368269

2333206 2369730

2334667 2371191

2336128 2372652

2337589 2374113

2339050 2375574

2340511 2377035

2060

2473459

2064

2474920

2068

2476381

2072

2477842

2076

2479303



0

1721057

1722518

1723979

1725440

1726901

1728362

1729823

173 1284

1732745

1734206

1735667

1737128

1738589

1740050

1741511

1742972

1744433

1745894

1747355

1748816

1750277

1751738

1753199

1754660

1756121



700

1976732

1978193

1979654

1981115

1982576

1984037

1985498

1986959

1988420

1989881

1991342

1992803

1994264

1995725

1997186

1998647

2000108

2001569

2003030

2004491

2005952

2007413

2008874

2010335

2011796



800

2013257

2014718

2016179

2017640

2019101

2020562

2022023

2023484

2024945

2026406

2027867

2029328

2030789

2032250

2033711

2035172

2036633

2038094

2039555

204 1016

2042477

2043938

2045399

2046860

2048321



900

2049782

2051243

2052704

2054165

2055626

2057087

2058548

2060009

2061470

2062931

2064392

2065853

2067314

2068775

2070236

2071697

2073158

2074619

2076080

2077541

2079002

2080463

2081924

2083385

2084846



1800

2378495t

2379956

2381417

2382878

2384339

2385800

2387261

2388722

2390183

239 1644

2393105

2394566

2396027

2397488

2398949

2400410

2401871

2403332

2404793

2406254

2407715

2409176

2410637

2412098

2413559

2080

2084

2088

2092

2096



1900

2415019t

2416480

24 17941

2419402

2420863

2422324

2423785

2425246

2426707

2428168

2429629

2431090

2432551

2434012

2435473

24 369 34

2438395

2439856

2441317

2442778

2444239

2445700

2447161

2448622

2450083

2480764

2482225

2483686

2485147

2486608



Days to be added to reduce to the beginning of each month: For dates from 1582 October 15

to 1583 December 31, inclusive, Gregorian Calendar, dimitzish all numbers in this table by 10.

I n 1700, 1800, and 1900, Gregorian Calendar, f o r January 0 use the number 1 instead of the

tabular value 0, and for February 0 use 32 instead of 31.

Year



Jan. 0



Feb. 0



Mar. 0



0

i

2

3



0

366

731

1096



31

397

762

1127



60

425

790

1155



Apr.0



*Prepared by G. M. Clemence,



p Gregorian Calendar.

SMITHSONlAN PHYSICAL TABLES



91

456

821

1186



u.



May 0



June 0



121

486

851

1216



152

517

882

1247



JULY 0 Aug. 0 Sept. 0

182

213

244

547

578

609

912

943

974

1277 1308 1339



S . Naval Observatory.



t



For January



Oct. 0



- 1.



274

639

1004

1369



Nov. 0 Dec. 0



305

670

1035

1400



335

700

1065

1430



$ Julian Calendar.



734

T A B L E 831.-PHYSICAL



DATA; P L A N E T S A N D PRINCIPAL SATELLITES



( F r o m unpublished compilation by G. P . Kuiper and I). L. Harris, Yerkes Observatory.)

Planet or

satellite



Mass

(Earth = I )



,0543

Llercury . . . . . . . . . . . . . .

,8136

Venus . . . . . . . . . . . . , . . . .

1.0000

Earth _ . , . . _ . . . , . . . , .

l f a r s . . . , . . . . . . . . . . . ...

,1009

_luniter

. . . . . . . . . . . . . . . . . 318.35

Saturn .~. . . . . . . . . . . . . . 95.3

1-Jranue . . . .. . . . . . . . .. .. . . . 14.58

Neptune , . . . . . . . . . . . . . . 17.26

Pluto . . . . . . , . ... . . . . . . . < . l ?

Moon , . . . . . . . . . . . . . . . .

,0123

Jupiter I . . . . . . . . . . . . . .

,0121

luniter

_

. I 1 . . . . . . . . . . . . . . ,0079

Iuni ter I I I . . . . . . . . . . . . .

,0261

Jupiter I V . . . . . . . . . . . . .

,0160

,0235

Titan . . . . . . . . . . . . . . . . . .

,022

Triton . . . . . . , . . . . . . . . . .

,



hrean

diameter t

(E = I)



HeO = 1



( E = 1)



Surface

gravity



Velocity

of escape

km/sec



.38

,967

1.000

,523

10.97

9.03

3.72

3.38

.45

,273

,255

,226

,394

,350

,371

.35



5.46

4.96

5.52

4.12

1.33

.71

1.56

2.47

<5.5?

3.33

4.03

3.78

2.35

2.06

2.54

2.8i



.38

.87

1.oo

.39

2.65

1.17

1.05

1.23



4.3

10.4

11.3

5.1

61.0

36.7

22.4

25.6

<5.3?

2.4

2.5

2.1

2.9

2.4

2.8

2.8?



l







Mean

density



<.5?



.16

.19

.16

.17

.13

.17

.18?



Rotation

period

(days)



88.0

15-30?

1.oo

1.03

.41

.43

.45



.66



?



27.3

1.77

3.55

7.15

16.69

15.95

5.88



* Mass of the E a r t h is 5.975 X lo ” g r a m s ; of the S u n 332.488 ( 1 & 0.00013) E = 1.987 >: 1Om g r a m s ; of the

t Equatorial diameter of the E a r t h = 12,756.78 k m ;

Moon (0.012289 f 0.000004)

= 7.313 X 10’5 grams.

polar diameter 12,713.82 k m ; niean diameter” 12,742.46 km. See Table 827



6F



T A B L E 832.-PLA



N E T A RY T E M P E R A T U R ES

Calculated

7,4-----



A



Measured



Mercury (sunlit side). . . . . . . . . . . . . . . . . . . . . . . . . . .

690” K

Veilus (dark side). . . . . .

250

330

(bright side) . . . . . . . . . . . . . . . . . . . . . . . . . . . .

E a r t h (mean) . . . . . . . . . . . . . . . . . . . . . . . . .

287

400

Moon (center of illuminated hemisphere)

285

M a r s (warmest portions). . . . . . . . . . . . . . . . . . . . . . . .

Jupiter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

135

Saturn . . . . . . .

..

120

Uranus . . . . . . . . .

.........................

less than 90

__

Neptune .......................................



631” K



327

277

277

222

122

90

63

51



464

392

392

316

~~.

273

128

89

72



__



~~~



B



445” K



__



~



All temperatures a r e given on the absolute scale. T o change to centigrade, slihtract 273.

T h e column headed “measured” presents values determined by Coblentz and Lampland,

and by Pettit and Nicholson. T& column headed “A” gives black sphere temperatures;

“B” gives these multiplied by d 2 or the calculated maximum temperatures of the center

of the illuminated hemisphere of atmosphereless black planets. T h e observed values lie,

a s expected, between A and B in nearly -.zry case.

T A B L E 833.-PLANETARY

Mean distance to Sun

Body



A I.



Mercury . . . . . . _ . . . . . .387

,723

Venus . . . . . . . . . . . . . .

E a r t h . . . . . . . . . . . . . . 1.000

M a r s . . . . . . . . . . . . . . . 1.524

Jupiter . . . . . . . . . . . . . 5.203

Saturn . . . . . . . . . . . . . 9.539

Uranus . . . . . . . . . . . . . 19.191

Neptune . . . . . . . . . . . . 30.071

Pluto . . . . . . . . , . . . . . . 39.457



km



57.9 t

108.1

149.5

227.8

777.8

1426.1

2869.1

4495.6

5898.9



ORBITS







zfiT



Sidereal period



vI

Mean

days



Tropical

years



Inclina.

tinn



Eccen.

tricity



87.97

224.70

365.26

686.98

4332.58

10759.20

30685.9 1

60187.60

90469.27



.241

,615

1.000

1.881

1 1.862

29.458

84.015

164.788

247.697



7:004

3.a94

~.

,000

1.850

1.306

2.490

,773

1.774

17:143



,2056



,0086

.2485



* Prepared G. P. Kuiper. Y r r k e s 0l)scrvatory.

.lmerican Eiihemeris a n d Nautical Almanac for 19.50.

x 100

t >lean distance in km c?mputcil f r o m earth’s equatorial radius (6378.388 k m ) and

solar parallax of 8.”80. Recent determinations by Spencer Jones (Monthly Notices. Roy. Astron. Soc..

vol. 101, p. 356, 1941) a n d Rahe (ilstron. Journ., vol. 55, p. 112, 1950) give 8.”790 k 0.”001 a n d

8.”7984

0.”0004, respectively.

zm



t



SMITHSONIAN PHYSICAL TABLES



T A B L E 834.-SATELLITE

Mean disrance

from planet

(km)



Body



Earth

Moon ............

Mars

Phobos ...........

Deimos ...........

Jupiter



v ..............



I I0 ............

I1 Europa ......

I11 Ganymede ... ..

IV Callisto ..... ..

V I .............

VII ............



..



x ..............



..



Sidereal

period

(days)



*



735



vjs

magnitude

at mean opp



Direction

of motion t



384,400



27.322



9,400

23,500



,319

1.262



11.5

13.0



D

D



,498

1.769

3.551

7.155

16.689

250.6

259.6

260.

739.

758.

692.



13.0

5.0

5.3

4.6

5.6

13 7

16.

17.8

16.

17.6

17.4



D

D

D

D

D

D

D

D

R

R

R



.942

1.370

1.888

2.737

4.518

15.945

21.277

79.330

550.48



12.1

11.6

10.5

10.7

9.7

8.2

13.0

10.1-1 1.8

16.



D

D

D

D

D

D

D

D

R



1.413

2.520

4.144

8.706



16.8



D



5.877

368.



13.5

18.5



R



181,200

421,400

670.500

1,069;500

1,881,200

11,500,000

11,750,000

11,750,000

23,500,000

23,700,000

22,500,000



VIII ...........

IX .............

XI .............

Saturn

185,500

Mimas ...........

238,000

Enceladus ........

294.600

Tethys ...........

Dione ............ 377;300

Rhea ............. 526.900

Titan ............ 1,220;800

Hyperion ......... 1,482,000

Iapetus ........... 3,558,000

Phoebe ........... 12,950,000

Uranus

Miranda ..........

129,700

Ariel ............. 190,700

265,700

Umbriel ..........

Titania ...........

435,800

Oberon ........... 582,800

Neptune

353,700

Triton ............

Nereid ............ 5,580,000



....



ORBITS



Compiled hv D. L. Harris, Yerkes Oliservatory.

direct motion, R = retrograde motion.



-12.7



D



?



t With respect to rotation



of planet.



D=



T A B L E 835.-NUMBER

O F STARS [@(M)]

P E R C U B I C PARSEC N E A R T H E

SUN W I T H A B S O L U T E ( P H O T O G R A P H I C A N D V I S U A L )

M A G N I T U D E S M - 1/2 T O M

1/2 * 258



+



log 6

I



M



- 6.0

- 5.0

- 4.0



3.0

- 2.0

- 1.0



-



.O



+ 1.0

+ 2.0

+

3.0

+ 4.0



+ 10



+



(M)

Phot



2.10

3.07

3.65

4.25

4.75

5.07

5.68

6.34

6.77

6.86

7.19



Ion 6 ( M ) 10



Visual



1.63

2.77

3.58

4.12

4.71

5.32

5.98

6.59

6.71

6.98

7.29



M



Phot



Visual



+10.0



7.35

7.49

7.53

7.46

7.49

7.64

7.81

7.97

8.01

8.06



7.40

7.45

7.45

7.55

7.75

7.84

7.99

8.02

8.05



+ 5.0

+

6.0

+

7.0

+

+ 8.0

9.0



+11.0

+12.0

+13.0

$14.0



Prepared by S. W . McCuskey. Case Institute of Technology.

van Rhijn, Groningen Puhl. No. 47, 1936.



p68



SMITHSONIAN PHYSICAL TABLES



...



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