Quasi-periodic Solutions of the Spatial Lunar Three-body Problem

Abstract

By application of KAM theorem to Lidov-Ziglin's global study of the quadrupolar approximation of the spatial lunar three-body problem, we establish the existence of several families of quasi-periodic orbits in the spatial lunar three-body problem.

24 pages, 3 figures

References in corpus (1)

• Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations

Cited by in corpus (1)

• Determination of the doubly-symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem