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arxiv: 1811.05897 · v1 · pith:BW6IGWR6new · submitted 2018-10-28 · 🧮 math.DS

A Family of Periodic Orbits in the Three-Dimensional Lunar Problem

classification 🧮 math.DS
keywords familyorbitslunarperiodicproblemcollisionconsecutivecontinuations
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A family of periodic orbits is proven to exist in the spatial lunar problem that are continuations of a family of consecutive collision orbits, perpendicular to the primary orbit plane. This family emanates from all but two energy values. The orbits are numerically explored. The global properties and geometry of the family is studied.

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