TABLE 3

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Saturnian System Gravity Field

ParameterNull et al. (1981)Campbell & Anderson (1989)Jacobson (2004)This Paper
GMSun/GMsys...3498.09 ± 0.223497.898 ± 0.0183497.893 ± 0.0053497.9018 ± 0.0001
GM (km3 s-2)...



     System...37938544.0 ± 2400.037940630.0 ± 200.037940672.0 ± 59.037940585.2 ± 1.1
     Saturn...37929085.0 ± 2400.037931272.0 ± 200.037931284.0 ± 57.037931207.7 ± 1.1
     Mimas...2.50 ± 0.06a2.50 ± 0.06a2.55 ± 0.052.5023 ± 0.0020
     Enceladus...4.9 ± 2.4b4.9 ± 2.4b6.9 ± 1.57.2096 ± 0.0067
     Tethys...41.5 ± 0.8a45.0 ± 10.041.21 ± 0.0841.2097 ± 0.0063
     Dione...70.2 ± 2.2b70.2 ± 2.2b73.12 ± 0.0273.1127 ± 0.0025
     Rhea...151.0 ± 34.0154.0 ± 4.0155.0 ± 5.0153.9416 ± 0.0049
     Titan...9059.0 ± 114.08978.2 ± 1.08978.1 ± 0.88978.1356 ± 0.0039
     Hyperion...1.10.00.72 ± 0.350.3727 ± 0.0045
     Iapetus...129.0 ± 49.0106.0 ± 10.0130.0 ± 17.0120.5117 ± 0.0173
     Phoebe.........0.5 ± 0.20.5534 ± 0.0006
J2(×106)...16299.0 ± 18.016298.0 ± 10.016292.0 ± 7.016290.71 ± 0.27
J4(×106)...-916.0 ± 38.0-915.0 ± 40.0-931.0 ± 31.0-935.83 ± 2.77
J6(×106)...81.0103.0 ± 50.091.0 ± 31.086.14 ± 9.64
J8(×106)......-10.0c-10.0c-10.0c
αp (deg)...40.6076 ± 0.0230a40.580 ± 0.016d40.5955 ± 0.0036e40.58279 ± 0.00201f
δp (deg)...83.5219 ± 0.0036a83.540 ± 0.002d83.5381 ± 0.0002e83.53763 ± 0.00021f
p (deg century-1).........-0.04229g-0.04229g
p (deg century-1).........-0.00444g-0.00444g

     NOTE.—Reference radius for the gravitational harmonics: 60,330 km.
     a Adopted from Kozai (1957).
     b Adopted from Kozai (1976).
     c Theoretical estimate used by Nicholson & Porco (1988).
     d Adopted from Simpson et al. (1983).
     e At epoch 1980 November 12, 23:46:32, from French et al. (1993).
     f At epoch 2000 January 1, 12:00:00.
     g Derived from the precession rate of Nicholson et al. (1999).