論文

査読有り
2009年10月

Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem

NONLINEARITY
  • Mitsuru Shibayama
  • ,
  • Kazuyuki Yagasaki

22
10
開始ページ
2377
終了ページ
2403
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0951-7715/22/10/004
出版者・発行元
IOP PUBLISHING LTD

We study the isosceles three-body problem and show that there exist infinitely many families of relative periodic orbits converging to heteroclinic cycles between equilibria on the collision manifold in Devaney's blown-up coordinates. Towards this end, we prove that two types of heteroclinic orbits exist in much wider parameter ranges than previously detected, using self-validating interval arithmetic calculations, and we appeal to the previous results on heteroclinic orbits. Moreover, we give numerical computations for heteroclinic and relative periodic orbits to demonstrate our theoretical results. The numerical results also indicate that the two types of heteroclinic orbits and families of relative periodic orbits exist in wider parameter regions than detected in the theory and that some of them are related to Euler orbits.

リンク情報
DOI
https://doi.org/10.1088/0951-7715/22/10/004
J-GLOBAL
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201002212704356382
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000269717000004&DestApp=WOS_CPL
ID情報
  • DOI : 10.1088/0951-7715/22/10/004
  • ISSN : 0951-7715
  • J-Global ID : 201002212704356382
  • Web of Science ID : WOS:000269717000004

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