Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems-Reference-Cited by-同舟云学术

Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems

Published:1995 Issue:8 Volume:347 Page:3017-3030
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Llibre Jaume,Saari Donald G.

Abstract

Through the introduction of a new coordinate system followed by a Poincaré compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar three-body problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1995-347-08/S0002-9947-1995-1297534-X/S0002-9947-1995-1297534-X.pdf

Reference10 articles.

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