Figure parameters and gravitational moments for Jupiter and Saturn

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gas Giant Planets, Jupiter (Planet), Planetary Gravitation, Saturn (Planet), Astronomical Models, Density Distribution, Geodesy, Iterative Solution, Planetology, Radii

Scientific paper

Results of an integration of the system of equations of the theory of the figure in the fifth approximation are presented for the density distributions within Jupiter and Saturn as well as for some models of the density laws. A numerical method based on a previously outlined algorithm is used to solve the system of equations for gas-fluid planet models assumed to be in hydrostatic equilibrium. The gravitational moments of the two planets are also determined, and the results are compared with observational data. The choice of an appropriate mean radius for a giant planet is discussed, and plots of the figure function are provided for Saturn and Jupiter.

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