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

被引：4

作者：

Cardin, Franco ^{[1
]}

Guzzo, Massimiliano ^{[1
]}

机构：

[1] Univ Studi Padova, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2022年 / 24卷 / 06期

基金：

欧盟地平线“2020”;

关键词：

Three-body problems; collisions in celestial mechanics; regularization; Hamilton-Jacobi equations; KUSTAANHEIMO; COLLISIONS; REGULARIZATION; DYNAMICS; SYSTEMS; ORBITS;

D O I：

10.1142/S0219199721500401

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：41

共 49 条

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