D3 Lunar Solar And Planetary Masses

Additional parameters required for the description of satellite motion include the gravitational parameters for the Sun, Moon, and planets. The values that are used with the planetary ephemerides, such as DE-405 (Standish, et al., 1997), are given in Table D.2. Additional information can be found in McCarthy (1996), Seidelmann (1992), and Standish et al. (1997). All mass parameters have been determined from observations; consult the references for uncertainties.

Table D.l

JGM-3 Earth Gravity Model l m

3 0 0.95717059088800E—0G

4 0 0.5397770G835730E—0G

5 0 0.68658987986543E—07 G 0 —0.149G715G178G04E—0G

7 0 0.90722941G43232E—07

8 0 0.49118003174734E—07

3 1 0.20301372055530E—05

5 1 —0.62727369697705E—07 G 1 —0.7G103580407274E—07

7 1 0.28028G52203G89E—0G

8 1 0.23333751G87204E—07

2 2 0.24392607486563E—05

3 2 0.90470G34127291E—0G

4 2 0.350G7015G45938E—0G

5 2 0.G524591027G353E—0G G 2 0.48327472124892E—07

7 2 0.3297G022742410E—0G

8 2 0.80070GG3931587E—07

3 3 0.72114493982309E—0G

4 3 0.9908G890577441E—0G

5 3 —0.45183704808780E—0G G 3 0.570209G5757974E—07

7 3 0.25050152G75038E—0G

5 4 —0.2951233930219GE—0G G 4 —0.8G228032G19800E—07

8 4 —0.2443580G439297E—0G 5 5 0.174831577G9990E—0G G 5 —0.2G7112271719GGE—0G

7 5 0.1G44003814G411E—08

8 5 —0.25498410010257E—07 G G 0.9501G518338557E—08

7 7 0.137951705G407GE—08

8 7 0.G72G2701848734E—07 8 8 —0.123970G1395498E—0G

0.00000000000000E+00 0.00000000000000E+00 0.00000000000000E+00 0.00000000000000E+00 0.00000000000000E+00 0.00000000000000E+00 0.00000000000000E+00 0.11952801000000E—08 0.248130798255G1E—0G 0.473772370G1597E—0G 0.94194G32134383E—07 0.2G899818932G29E—07 0.94777317813313E—07 0.584992749393G8E—07 0.14002GG3975880E—05 0.G1892284G47849E—0G 0.GG2571345942G8E—0G 0.32333435244435E—0G 0.37381591944355E—0G 0.93193G9G831045E—07 0.G55185590974G4E—07 0.14142039847354E—05 0.20098735484731E—0G 0.2149541934G421E—0G 0.88894738008251 E—08 0.21732010845254E—0G 0.8G28583G534248E—07 0.30884803G90355E—0G 0.49741427230934E—07 0.47140511232148E—0G 0.1241415124851GE—0G 0.G9857074850431E—07 0.GG939293724911E—0G 0.53G4101G4GG390E—0G 0.1807533523350GE—07 0.89090297494G40E—07 0.2372G147889522E—0G 0.1517780844342GE—0G 0.308920G415795GE—0G 0.24128594080773E—07 0.7481319G7G8710E—07 0.12044100GG87GGE—0G

0.4GG0E—10 0.3599E—10 0.1339E—09 0.8579E—10 0.2428E—09 0.2G04E—09 0.399GE—09

0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00

0.0000E+00 0.0000E+00

0.1153E—09 0.8G93E—10 0.24GGE—09 0.2702E—09 0.43G1E—09 0.5070E—09 0.3G55E—10 0.9378E—10 0.1559E—09 0.2392E—09 0.3145E—09 0.4G35E—09 0.5185E—09 0.5755E—10 0.7940E—10 0.1599E—09 0.2598E—09 0.3G5GE—09 0.4947E—09 0.7217E—10 0.92G4E—10 0.1G5GE—09 0.2GG5E—09 0.4033E—09 0.8139E—10 0.84G5E—10 0.1832E—09 0.258GE—09 0.8021E—10 0.5899E—10 0.15GGE—09 0.9709E—10 0.9308E—10 0.1379E—09

0.1152E—09 0.8734E—10 0.24G5E—09 0.2752E—09 0.4344E—09 0.5137E—09 0.3709E—10 0.9375E—10 0.15G0E—09 0.2398E—09 0.31G0E—09 0.4587E—09 0.5323E—09 0.5720E—10 0.7942E—10 0.1G1GE—09 0.2574E—09 0.373GE—09 0.4918E—09 0.7228E—10 0.9288E—10 0.1GG3E—09 0.2G5GE—09 0.40G3E—09 0.8131E—10 0.8510E—10 0.1835E—09 0.2571E—09 0.8081E—10 0.5913E—10 0.15G9E—09 0.9747E—10 0.9378E—10 0.1384E—09

GMEarth = 3.98G004415 x 1014 ± 8 x 106 m3 s-2 ae = G37813G.3 m

Table D.2

Lunar, Solar and Planetary Masses

Planet

GM (m3 s-2)

Mercury

2.203208 x 1013

Venus

3.248586 x 1014

Mars

4.282831 x 1013

Jupiter

1.267128 x 1017

Saturn

3.794063 x 1016

Uranus

5.794549 x 1015

Neptune

6.836534 x 1015

Pluto

9.816009 x 1011

Moon

4.902801 x 1012

Sun

1.327124 x 1020

The Earth-Moon mass ratio is 81.30056 and 1 Astronomical Unit = 149, 597, 870,691 m, as provided with DE-405.

The Earth-Moon mass ratio is 81.30056 and 1 Astronomical Unit = 149, 597, 870,691 m, as provided with DE-405.

Note that using the Earth-Moon mass ratio in Table D.2 yields GMMoon = 4.902804 x 1012m3s-2 based on the GMEarth from JGM-3. The difference with GMMoon in Table D.2 is caused by the GMEarth adopted in DE-405.

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