On the roto-translatory motion of a satellite of an oblate primary |
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Authors: | J M Ferrándiz M E Sansaturio R Caballero |
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Institution: | (1) Dpto. de Matemática Aplicada a la Ingenierá, E.T.S. de Ingenieros Industriales, 47011 Valladolid, Spain |
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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. |
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Keywords: | Satellite Dynamics orbit-rotation coupling canonical transformations symbolic manipulation |
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