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On the roto-translatory motion of a satellite of an oblate primary
Authors:J M Ferrándiz  M E Sansaturio  R Caballero
Institution:(1) Dpto. de Matemática Aplicada a la Ingenierá, E.T.S. de Ingenieros Industriales, 47011 Valladolid, Spain
Abstract:We deal with the problem of the motion of a triaxial satellite of an oblate primary of larger mass. We show that the treatment is simplified by using a canonical set of variables previously introduced by the authors, that allows a drastic reduction in the expansions of the potential. A general method to avoid the appearance of virtual singularities when the angles between certain planes are small is designed. Our approach is applicable either to natural or artificial satellites.
Keywords:Satellite Dynamics  orbit-rotation coupling  canonical transformations  symbolic manipulation
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