paper

The quasi-incompressible planet: some analytics

arXiv:astro-ph/0401359

Abstract

Exact and approximate analytical formulas are derived for the internal structure and global parameters of the spherical non-rotating quasi-incompressible planet. The planet is modeled by a polytrope with a small polytropic index n << 1, and solutions of the relevant differential equations are obtained analytically, to the second order of n.

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The quasi-incompressible planet: some analytics · wovepaper