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

Published 28 Oct 2018 in math.DS | (1811.05897v1)

Abstract: 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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