Artificial equilibrium points in the low-thrust restricted three-body problem

Mutsuko Morimoto, Hiroshi Yamakawa, Kuninori Uesugi

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The magnitude and direction of the required acceleration creating the artificial equilibrium point (AEP) in the low-thrust restricted three-dimensional space problem are investigated. A nonequilibrium point is turned into AEP by applying the appropriate continuous control acceleration. The nondimensional magnitude of acceleration is found in terms of the sun-earth system and the required acceleration is obtained by assuming that other planets such as Mars and Venus are not near the spacecraft with negligible effect. The stability of each AEP is found by linearizing the equations of motion and carrying out a linear stability analysis. The results show that for a small mass-ratio system such as the Sun-Earth system, there are stable regions of AEPs with very small control acceleration that are defined in space missions.

Original languageEnglish
Pages (from-to)1563-1568
Number of pages6
JournalJournal of Guidance, Control, and Dynamics
Volume30
Issue number5
DOIs
Publication statusPublished - 2007 Sep 1
Externally publishedYes

Fingerprint

low thrust
Restricted Three-body Problem
three body problem
Equilibrium Point
Acceleration control
thrust
Sun
Earth (planet)
Linear stability analysis
Planets
sun
Equations of motion
Spacecraft
Space Missions
Mars
Linear Stability Analysis
Venus (planet)
space missions
Venus
stability analysis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Artificial equilibrium points in the low-thrust restricted three-body problem. / Morimoto, Mutsuko; Yamakawa, Hiroshi; Uesugi, Kuninori.

In: Journal of Guidance, Control, and Dynamics, Vol. 30, No. 5, 01.09.2007, p. 1563-1568.

Research output: Contribution to journalArticle

Morimoto, Mutsuko ; Yamakawa, Hiroshi ; Uesugi, Kuninori. / Artificial equilibrium points in the low-thrust restricted three-body problem. In: Journal of Guidance, Control, and Dynamics. 2007 ; Vol. 30, No. 5. pp. 1563-1568.
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