The equation of hydrostatic equilibrium in the theory of a planetary figure

Astronomy and Astrophysics – Astronomy

Scientific paper

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Approximation, Equilibrium Equations, Hydrostatics, Planetary Composition, Planetary Structure, Planetary Surfaces, Asphericity, Density Distribution, Gravitational Effects, Jupiter (Planet), Legendre Functions, Neptune (Planet), Planetary Mass, Saturn (Planet), Uranus (Planet)

Scientific paper

A numerical method is developed for solving the equation of hydrostatic
equilibrium with allowance for corrections for the asphericity of the
planet. Radial density distributions are found for a set of polytropes
with indices of from 1 to 2 in planets with the parameters of Jupiter,
Saturn, Uranus, and Neptune.

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