Stability in the relative equilibrium positions of space stations at triangular libration points in the photogravitational three-body problem

Physics

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Lagrangian Equilibrium Points, Space Stations, Spacecraft Stability, Gravity Gradient Satellites, Libration, Three Body Problem

Scientific paper

A study has been made regarding the selection of stable equilibrium orientations for a space station using solar sails for control and gravitational equilibrium for anchoring at specific points in space. The study considers the generalized, photogravitational, restricted, circular three-body problem. Passively gravitating space stations are modeled by solid objects. It is assumed that the sail area of the station (the ratio of cross section to mass) does not depend on the station's orientation. Two dynamically equivalent relative equilibrium positions for the station are found from the conditions of steady-state change in the station's potential energy. The sufficient conditions for stability of the equilibrium solutions are obtained.

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