On libration points near a gravitating and rotating triaxial ellipsoid☆
Review articleOpen access
1981/01/01 Full-length article DOI: 10.1016/0021-8928(81)90004-6
Journal: Journal of Applied Mathematics and Mechanics
AbstractThe problem of the motion of a passively gravitating point near the relative equilibrium position around a uniformly rotating ellipsoid with principal semiaxes of arbitrary lengths is examined. A system of parameters defining the problem, in which the domain wherein the necessary stability conditions are fulfilled, is selected. Certain qualitative properties of the mechanical system being examined are revealed by an analysis of the domain's geometric structure.
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