Periodic orbits with constant control acceleration in the restricted three body problem

Mutsuko Y. Morimoto, Hiroshi Yamakawa

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

2 Citations (Scopus)

Abstract

In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.

Original languageEnglish
Title of host publicationProceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
Pages2607-2611
Number of pages5
DOIs
Publication statusPublished - 2008 Dec 1
Externally publishedYes
EventSICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology - Tokyo, Japan
Duration: 2008 Aug 202008 Aug 22

Publication series

NameProceedings of the SICE Annual Conference

Other

OtherSICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
CountryJapan
CityTokyo
Period08/8/2008/8/22

Keywords

  • Artificial equilibrium point
  • Restricted three body problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • Cite this

    Morimoto, M. Y., & Yamakawa, H. (2008). Periodic orbits with constant control acceleration in the restricted three body problem. In Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology (pp. 2607-2611). [4655106] (Proceedings of the SICE Annual Conference). https://doi.org/10.1109/SICE.2008.4655106