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Particular solutions of the singly averaged Hill problem
Authors:M A Vashkov’yak
Institution:(1) Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Abstract:We consider the case of averaging the perturbing function of the Hill problem over the fastest variable, the mean anomaly of the satellite. In integrable special cases, we found solutions to the evolutionary system of equations in elements.
Keywords:celestial mechanics  averaged Hill problem  orbital evolution
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