Variational methods to calculate the hydrostatic structure of rotating planets.

Details Variational methods to calculate the hydrostatic structure of rotating planets. Variational methods to calculate the hydrostatic structure of rotating planets.

Sep 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995geoji.122..953a&link_type=abstract

Geophysical Journal International, Vol. 122, No. 3, p. 953 - 960

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4

Rotating Fluids: Planets, Rotating Fluids: Hydrodynamics, Planets: Internal Structure, Planets: Rotation, Earth: Internal Structure

Scientific paper

Two variational strategies to calculate the internal flattening induced in the structure of slowly rotating hydrostatic planets are discussed. In the first procedure, the minimization of energy fixes the physical coefficients of a polynomial that describes the dependence of the flattening on depth. In the second, the planet is assumed to be divided into thin equidensity shells, and the condition of minimum energy leads to an algebraic method that can compete with the usual one based on Clairaut's equation. These methods are applied to the Earth. The differences between them and other previous variational strategies are discussed.

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