Resonant stability and its criterion for the orbits around the sphere of influence

Masayoshi Utashima, Jun'ichiro Kawaguchi

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

This paper discusses the stability of the pseudo orbit, which flies outside of the sphere of influence of the secondary body in the Circular Restricted Three-Body Problem and has the same semi-major axis as the secondary body and a small eccentricity. The whole aspect of the stability of the inclined pseudo orbit is resolved for the first time by both examination using virtual energy and reduction to Mathieu's equation.

Original languageEnglish
Pages (from-to)1691-1698
Number of pages8
JournalAdvances in the Astronautical Sciences
Volume108 II
Publication statusPublished - 2001
Externally publishedYes
EventProceedings of the AAS/AIAA Space Flight Mechanics Meeting - Santa Barbara, CA, United States
Duration: 2001 Feb 112001 Feb 15

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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