Transverse foliations in the rotating Kepler problem-Reference-Cited by-同舟云学术

Transverse foliations in the rotating Kepler problem

Published:2024-01-19 Issue:1 Volume:26 Page:
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Kim Seongchan

Abstract

AbstractWe construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee’s results on homoclinics [23] and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic–heteroclinic chain in the planar circular restricted three-body problem [20], using pseudoholomorphic curves.

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s11784-023-01090-8.pdf

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