Integrability of close encounters in the spatial restricted three-body problem-Reference-Cited by-同舟云学术

Integrability of close encounters in the spatial restricted three-body problem

Published:2021-06-04 Issue: Volume: Page:2150040
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Cardin Franco¹,Guzzo Massimiliano¹

Affiliation:

1. Università degli Studi di Padova, Dipartimento di Matematica “Tullio Levi-Civita”, Via Trieste, 63 — 35121 Padova, Italy

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 neighborhood of the collisions with the primary or secondary body.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199721500401

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