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Solar sail equilibria in the elliptical restricted three-body problem

Baoyin, Hexi and McInnes, Colin (2006) Solar sail equilibria in the elliptical restricted three-body problem. Journal of Guidance, Control and Dynamics, 29 (3). pp. 538-543. ISSN 0731-5090

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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.