Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem-Reference-Cited by-同舟云学术

Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem

Published:2022-02-04 Issue:3 Volume:35 Page:1431-1446
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Kajihara Yuika,Shibayama Mitsuru

Abstract

Abstract The restricted three-body problem (R3BP) is an important research area that deals with significant issues in celestial mechanics, such as analyzing asteroid movement behavior and orbit design for space probes. We aim to show the existence of periodic orbits in the planar circular R3BP. To find these orbits, we adapt a variational approach and symmetry.

Funder

Japan Society for the Promotion of Science

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ac4c2b/pdf

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