The quasi-incompressible planet: some analytics
نویسنده
چکیده
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. Some solved and unsolved problems of polytropic models are discussed as well. Subject headings: planets: internal structure—quasi-incompressible model—polytropes
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