Solar sail equilibria in the elliptical restricted three-body problem

Hexi Baoyin, Colin McInnes

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

The existence and dynamical properties of artificial equilibria for solar sails in the elliptical restricted threebody problem is investigated.We show that planar two-dimensional equilibrium curves exist, embedded in threedimensional space, in a nonuniformly rotating, pulsating coordinate system. However, due to the stretching of the system plane coordinates and unstretching of the out-of-plane coordinate, the equilibrium surfaces do not exist in the three-dimensional elliptical restricted three-body system. Control in the neighborhood of an equilibrium point is investigated through a pole assignment scheme. This permits practical out-of-plane equilibria in elliptical three-body systems with small eccentricity.
LanguageEnglish
Pages538-543
Number of pages5
JournalJournal of Guidance, Control and Dynamics
Volume29
Issue number3
Publication statusPublished - May 2006

Fingerprint

Solar sails
Restricted Three-body Problem
ice ridge
three body problem
Stretching
Poles
Cartesian plane
Pole Assignment
Three-dimensional
solar sails
Eccentricity
Equilibrium Point
Rotating
eccentricity
poles
Curve
curves

Keywords

  • solar sails
  • control systems
  • dynamic systems
  • equilibrium curves
  • pole assignment scheme

Cite this

Baoyin, Hexi ; McInnes, Colin. / Solar sail equilibria in the elliptical restricted three-body problem. In: Journal of Guidance, Control and Dynamics. 2006 ; Vol. 29, No. 3. pp. 538-543.
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Solar sail equilibria in the elliptical restricted three-body problem. / Baoyin, Hexi; McInnes, Colin.

In: Journal of Guidance, Control and Dynamics, Vol. 29, No. 3, 05.2006, p. 538-543.

Research output: Contribution to journalArticle

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