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Table 1

High-order moments of different models for rigidly rotating Jupiter.

J2n Juno ToF-4 CMS-1000ab CMS-1000ab Polytropec CMS [HM16] Juno 0.9d CMS-1000e
[F17] J17-3a J17-3a/b J17-6a/b [WH16] DFT-MD 7.13 [CS17] J17-4z

J2/ 10-6 14696.514 ± 0.272 14696.6 13988.15 14696.43 14690.68 14692.26
J4/ 10-6 586.623 ± 0.363 586.64 586.65 531.83 596.05 581.91 582.00
J6/ 10-6 34.244 ± 0.236 34.09 34.21 34.42 30.12 35.15 31.75 33.85
J8/ 10-6 2.502 ± 0.311 2.732 2.460 2.491 2.132 2.546 1.335 2.433
J10/ 10-7 ... ... 2.021 2.057 1.741 2.10 ... 1.999
J12/ 10-8 ... ... 1.821 1.860 1.568 ... ... 1.801
J14/ 10-9 ... ... 1.755 1.797 1.518 ... ... 1.736
J16/ 10-10 ... ... 1.781 1.827 1.552 ... ... 1.762
J18/ 10-11 ... ... 1.883 1.934 1.656 ... ... 1.862

Notes.

(a)

Fit to J2 and J4 Juno data using ToF 4;

(b)

same as (a) but for J2 value to be fitted shifted by the difference ToF 4 minus CMS, values are displayed only where different from (a);

(c)

Bessel solution for rigid rotation;

(d)

Juno data corrected for zonal winds based on Bessel solution for the ΔJ2n of polytropic model with wind depth HAWD = 0.9;

(e)

same as (a) but using the J2 and J4 values from (d).

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