Dynamics of a dual satellite system in the Newtonian field of a polygon configuration of N big bodies: The N + 2 ring problem

Autores: M.N. Croustalloudi, T.J Kalvouridi
Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 39, 2013 (Ejemplar dedicado a: Actas de las XI Jornadas de Mecánica Celeste), págs. 59-68
Idioma: inglés
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Resumen
- In this contribution we study some dynamical aspects of a dual satellite system in the dynamical field created by a regular polygon formation of N much bigger bodies where ! = N − 1 of them are located at the vertices of the regular polygon and the Nth body is located at the center of mass. We extract the equations of motion of the two minor bodies and we study their equilibrium locations. We prove that all these positions are located on the plane of the primaries’ revolution and we study their stability and their parametric variation.