On the covering of a Hill’s region by solutions in the restricted three-body problem |
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| Authors: | Valery Kozlov Ivan Polekhin |
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| Institution: | 1.Steklov Mathematical Institute,Moscow,Russia |
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| Abstract: | We consider two classical celestial-mechanical systems: the planar restricted circular three-body problem and its simplification, the Hill’s problem. Numerical and analytical analyses of the covering of a Hill’s region by solutions starting with zero velocity at its boundary are presented. We show that, in all considered cases, there always exists an area inside a Hill’s region that is uncovered by the solutions. |
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