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Table 1

Comparison between the measured oblateness and data of the gravity fields and the values obtained with our polytropic model (polytrope) and with a model with n = 0 (incompressible).

Jupiter Saturn

Mp [1026 kg] 18.986112(15) 5.684640(30)
Req [107 m] 7.1492(4) 6.0268(4)
Rpol[107 m] 6.6854(10) 5.4364(10)
R0  [107 m] 6.9894 5.8198
Prot   [104 s] 3.57297(41) 3.83577(47)
8.332 13.940
k2 0.49 0.32

n 0.936 0.748
qn 0.547 0.623

f × 102 6.487(8) 9.796(9)
f × 102 (polytrope) 5.701 10.849
f × 102 (incompressible) 10.416 17.425

J2 × 102 1.4697(1) 1.6332(10)
J2 × 102 (polytrope) 1.023 2.586
J2 × 102 (incompressible) 4.166 6.970

Notes. The numbers in parentheses are the uncertainty in the last digits of the value.

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