On the Motion of a Mass Point Inside a Rotating Inhomogeneous Ellipsoidal Body

Astronomy and Astrophysics – Astronomy

Scientific paper

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General Potential, Perturbing Function

Scientific paper

The plane motion of a mass point inside an inhomogeneous rotating ellipsoidal body with a homothetic density distribution is considered. The force function of the problem is expanded in terms of the ellipsoid's second eccentricities up to the fourth order, which are taken as small parameters. We derive an expression for the perturbing function and solve the equations of perturbed motion in orbital elements.

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