Constructing Invariant Tori for the Spatial Hill Lunar Problem |
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| Authors: | Dongfeng YAN |
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| Affiliation: | School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | In this paper, the spatial Hill lunar problem is investigated, andthe existence of invariant tori of hyperbolic type in a neighborhoodof its equilibrium is shown. Moreover, the author checks thenon-degenerate condition analytically and obtains two-dimensionalelliptic invariant tori on its central manifold as well. |
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| Keywords: | Spatial Hill lunar problem KAM theorem Quasi-periodic orbits Elliptic invariant tori |
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