Particular solutions of the singly averaged Hill problem |
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Authors: | M A Vashkov’yak |
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Institution: | (1) Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia |
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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. |
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Keywords: | celestial mechanics averaged Hill problem orbital evolution |
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