Solar sail equilibria in the elliptical restricted three-body problem

Hexi Baoyin, Colin McInnes

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)
112 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)538-543
Number of pages5
JournalJournal of Guidance, Control and Dynamics
Volume29
Issue number3
Publication statusPublished - May 2006

Keywords

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

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