Solar sail equilibria in the elliptical restricted three-body problem

Hexi Baoyin, Colin McInnes

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71 Citations (Scopus)
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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
Issue number3
Publication statusPublished - May 2006


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


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