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A family of periodic orbits in the three-dimensional lunar problem. (English) Zbl 1448.70032

Summary: 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 are studied.

MSC:

70F15 Celestial mechanics
70F07 Three-body problems
34C25 Periodic solutions to ordinary differential equations

Software:

CAPD; Taylor
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Full Text: DOI arXiv

References:

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