Integrability of close encounters in the spatial restricted three-body problem
Mathematical Physics
2021-04-26 v3 math.MP
Abstract
We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hamiltonian introduced in the Kustaanheimo-Stiefel regularization and construct a complete integral of the related Hamilton-Jacobi equation by means of a series convergent in a neighbourhood of the collisions with the primary or secondary body.
Cite
@article{arxiv.1809.01257,
title = {Integrability of close encounters in the spatial restricted three-body problem},
author = {Franco Cardin and Massimiliano Guzzo},
journal= {arXiv preprint arXiv:1809.01257},
year = {2021}
}
Comments
Preprint version submitted for publication in Communications in Contemporary Mathematics, DOI: 10.1142/S0219199721500401,copyright World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ccm