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EARTH-MOON TRANSFERS INVOLVING PERIODIC ORBITS AND INVARIANT MANIFOLDS THROUGH ISOMORPHIC MAPPING

机译:通过同构映射涉及周期轨道和不变歧管的地球月球转移

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Several families of periodic orbits exist in the context of the circular restricted three-body problem. This work studies the planar motion of a spacecraft among these periodic orbits in the Earth-Moon system modeled as a planar circular restricted 3-body problem. A new cylindrical representation of the coordinates, recently introduced by the authors, is used with two purposes: (ⅰ) determine periodic orbits around the Earth and the Moon and (ⅱ) investigate the relations between their manifolds and those of the Lyapunov orbits at the libration points. This research proves how heteroclinic connections between manifolds of distinct periodic orbits can be detected in a straightforward fashion through this original cylindrical representation. Moreover, optimal constant- energy maneuvers are determined through the use of an alternative three-dimensional mapping.
机译:在循环限制的三体问题的背景下存在几个定期轨道的家庭。这项工作研究了航天器在地球系统中的这些周期性轨道之间的平面运动,建模为平面循环限制的3体问题。作者最近推出的坐标的新圆柱形表示,用两个目的使用:(Ⅰ)确定地球周围的周期性轨道和月亮和(Ⅱ)调查其歧管与Lyapunov轨道之间的关系自由点。该研究证明了如何通过这种原始圆柱形表示以直接的方式检测不同周期性轨道之间的歧管之间的杂循环连接。此外,通过使用替代的三维映射来确定最佳恒定能量。

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