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On zero-velocity surfaces inside and outside a homogeneous rotating and gravitating ellipsoid

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Surfaces of zero velocity and regions of possible motions of a small body in the gravitational field of a homogeneous rotating ellipsoid are examined. The existence of stable motions in Hill's sense is shown. Applications of the results obtained to problems both on a satellite of triaxial planet motion and on a star inside and outside a galaxy are considered.

Keywords: Gravitational field; Homogeneous rotating ellipsoid; Zero-velocity surfaces

Document Type: Research Article


Publication date: August 1, 2003

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