Rotational distortion of stars of arbitrary structure to fourth-order sectorial harmonics. II - Shape of rapidly rotating bodies (Integral form of Clairaut theory)

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gravitational Fields, Stellar Gravitation, Stellar Rotation, Differential Equations, Rotary Stability

Scientific paper

The centrifugal potential of an explicit form of the radial part of a planet or star is expressed as an expansion in terms of sectorial fourth order harmonics and the radius vector of the respective equipotential surfaces is expanded accordingly. In doing so, the Clairaut equation for an equipotential spheroid is expressed in an explicit form which is an integral form to quantities of fourth-order sectorial harmonics.

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