Abstract

The stability of the relative equilibrium positions (collinear libration points) of the restricted circular photogravitational three-body problem, in which a passively gravitating point, in addition to experiencing the Newtonian gravity force from the main bodies (stars) also experiences forces of light pressure from each of them [1], is investigated. Previously obtained [2] conditions of stability are analysed from new viewpoints, enabling them to be presented more clearly. This is achieved by introducing, for each fixed pair of main bodies, a certain generalized parameter (which was used earlier [3,4] in an examination of triangular libration points) and by transferring from the parameter space of the system to its configuration space.

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