From elliptic restricted three-body problem to Tschauner-Hempel equations: A control strategy based on circular problems

Mai Bando, Akira Ichikawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers halo orbit control for the Earth-moon elliptic restricted threebody problem. Expressing equations of motion with true anomaly, Lagrangian points are defined and a halo orbit control problem at the L 2 point is discussed. By the change of control variables, constant feedback controllers are designed which maintain a halo orbit of the circular restricted problem. Considering equations of motion relative to the moon, and letting the mass of the moon go to zero, the equations of relative motion along an eccentric orbit are derived. Then formation and reconfiguration problems are formulated, and feedback controllers, based on the Hill-Clohessy-Wiltshire systems, are designed from the point of view of L1-norm minimization.

Original languageEnglish
Title of host publicationAstrodynamics 2009 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference
Pages301-313
Number of pages13
Publication statusPublished - Dec 1 2010
Externally publishedYes
EventAAS/AIAA Astrodynamics Specialist Conference - Pittsburgh, PA, United States
Duration: Aug 9 2009Aug 13 2009

Publication series

NameAdvances in the Astronautical Sciences
Volume135
ISSN (Print)0065-3438

Other

OtherAAS/AIAA Astrodynamics Specialist Conference
CountryUnited States
CityPittsburgh, PA
Period8/9/098/13/09

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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    Bando, M., & Ichikawa, A. (2010). From elliptic restricted three-body problem to Tschauner-Hempel equations: A control strategy based on circular problems. In Astrodynamics 2009 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference (pp. 301-313). (Advances in the Astronautical Sciences; Vol. 135).