Self-gravitating disks as a tool for describing the external gravitational fields of celestial bodies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We found an equivalent self-gravitating inhomogeneous disk whose external gravitational potential coincides with the external gravitational potential of the ellipsoid of revolution. Solutions for a homogeneous ellipsoid and inhomogeneous confocal ellipsoids were obtained. Giant planets were assumed to have forms close to equilibrium ones. The parameters of inhomogeneous disk systems which describe the external gravitational potential of giant planets were found. Gravitational moments of giant planets were taken from astronomical observational data.

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