Title: Low- and high-order gravitational harmonics of rigidly rotating Jupiter,
Abstract: The Juno Orbiter has provided improved estimates of the even gravitational
harmonics J2 to J8 of Jupiter. To compute higher-order moments, new methods
such as the Concentric Maclaurin Spheroids (CMS) method have been developed
which surpass the so far commonly used Theory of Figures (ToF) method in
accuracy. This progress rises the question whether ToF can still provide a
useful service for deriving the internal structure of giant planets in the
Solar system. In this paper, I apply both the ToF and the CMS method to compare
results for polytropic Jupiter and for the physical equation of state
H/He-REOS.3 based models. An accuracy in the computed values of J2 and J4 of
0.1% is found to be sufficient in order to obtain the core mass safely within
0.5 Mearth numerical accuracy and the atmospheric metallicity within about
0.0004. ToF to 4th order provides that accuracy, while ToF to 3rd order does
not for J4. Furthermore, I find that the assumption of rigid rotation yields J6
and J8 values in agreement with the current Juno estimates, and that higher
order terms (J10 to J18) deviate by about 10% from predictions by polytropic
models. This work suggests that ToF4 can still be applied to infer the deep
internal structure, and that the zonal winds on Jupiter reach less deep than
0.9 RJup.