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| Constructing Invariant Tori for the Spatial Hill Lunar Problem |
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Citation： |
Dongfeng YAN.Constructing Invariant Tori for the Spatial Hill Lunar Problem[J].Chinese Annals of Mathematics B,2016,37(1):125~136 |
| Page view： 3580
Net amount： 1368 |
Authors： |
Dongfeng YAN; |
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| Abstract： |
In this paper, the spatial Hill lunar problem is investigated, and
the existence of invariant tori of hyperbolic type in a neighborhood
of its equilibrium is shown. Moreover, the author checks the
non-degenerate condition analytically and obtains two-dimensional
elliptic invariant tori on its central manifold as well. |
Keywords： |
Spatial Hill lunar problem, KAM theorem, Quasi-periodic orbits,
Elliptic invariant tori |
Classification： |
37J25, 37J40 |
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