Graphical generation of periodic orbits of tschauner-hempel equations

Mai Bando, Akira Ichikawa

研究成果: Contribution to journalArticle査読

15 被引用数 (Scopus)

抄録

Graphical generation of periodic orbits of Tschauner-Hempel (TH) equations is presented. The general solution of the relative dynamics based on the orbital elements is obtained, and the relative motion invariant manifold, where the solution lies, is determined. The region where all periodic solutions lie is determined by two ellipses, whose size depends on the eccentricity of the leader orbit. Size and phase parameters for periodic orbits are introduced for the TH equations, and a simple way to draw a periodic orbit is proposed for a given pair of size and phase parameters and a given initial true anomaly of the elliptic orbit. Results show that the design of a relative orbit with size and position specifications is as simple as in the Hill-Clohessy-Wiltshire (HCW) case.

本文言語英語
ページ(範囲)1002-1007
ページ数6
ジャーナルJournal of Guidance, Control, and Dynamics
35
3
DOI
出版ステータス出版済み - 2012
外部発表はい

All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学
  • 航空宇宙工学
  • 宇宙惑星科学
  • 電子工学および電気工学
  • 応用数学

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