Static effects of differential rotation on Jupiter’s shape, gravity field, and interior structure

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Table 1

Results for the rotating n = 1 polytropic model of Jupiter: mean radii $R_{m}^{f i t}$ $Mathematical equation: $\[R_{\mathrm{m}}^{\mathrm{fit}}\]$$ and even gravitational harmonics J₂–J₁₀.

Cases	A	v (m/s)	$R_{m}^{f i t}$ $Mathematical equation: $\[R_{\mathrm{m}}^{\mathrm{fit}}\]$$ (km)	J₂ × 10⁶	J₄ × 10⁶	J₆ × 10⁶	J₈ × 10⁶	J₁₀ × 10⁶
TOF5	−	−	69920.429	13988.500	−531.829	30.120	−2.130	0.174
Bessel^(a)	−	−	−	13988.511	−531.828	30.118	−2.132	0.174

1	0.0005	6.286	69918.642	13988.894	−532.500	30.308	−2.170	0.182
2	0.001	12.572	69916.854	13989.250	−533.171	30.496	−2.210	0.189
3	0.002	25.144	69913.277	13989.956	−534.512	30.873	−2.292	0.204
4	0.003	37.716	69909.697	13990.655	−535.852	31.250	−2.373	0.220
5	0.005	62.860	69902.531	13992.022	−538.526	32.007	−2.538	0.251
6	0.010	125.721	69894.578	13995.296	−545.188	33.907	−2.957	0.332

Notes. ^(a) Wisdom & Hubbard (2016). The analysis contains the case of rigid rotation (modeled with TOF5 and Bessel methods) and six cases of differential rotation with varying the intensity parameter A. The third column describes the maximum wind speed in the equatorial region corresponding to the different intensity parameters.

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