The Photogravitational Hill Problem: Numerical Exploration |
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| Authors: | S S Kanavos V V Markellos E A Perdios C N Douskos |
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| Institution: | (1) Department of Engineering Sciences, University of Patras, Greece |
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| Abstract: | We consider the recently introduced version of the classical Lunar Hill problem, the photogravitational Hill problem, and study it's equilibrium points and zero-velocity curves. The full network of families of periodic orbits is numerically explored, their stability is computed and critical orbits are determined. Non-periodic orbits are also computed as points on a surface of section, providing an outlook of the stability regions, chaotic motions and escape. |
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| Keywords: | Hill problem photogravitational periodic and non-periodic orbits stability |
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