Proper Frequencies of a Rotating Two-layer Spheroidal Liquid Mass: A Jupiter Model

We establish the first six proper frequencies for the series of figures of our heterogeneous models. For this purpose, we use the second-order virial equations as developed by Chandrasekhar. The main aim is to know if the figures are stable. We consider all types of figures: those with an oblate or prolate nucleus, with ρ n > ρ a , as well as the cases with ρ n < ρ a . We attempt here also to fit our two-layer model to the planet Jupiter, using its known gravitation obtained by the Juno mission, along with other accepted facts. It is found that the model reproduces reasonably well the observed gravitational moments. Further, it comes out that Jupiter rotates differentially, with a mean period of 9.92 hr, agreeing with the recognized one. © 2019. The American Astronomical Society.

VIVO