Abstract
The model for the classical restricted three-body problem is generalized to include accelerations caused by low-thrust forces in such a way that the conservative character of the problem is preserved. This model is used to discuss possible modifications in the position, number, and stability character of the five Lagrangian libration points. The possible regions of libration points as a function of the low-thrust forces are discussed. Analytical expressions for regions of unstable libration points are derived. Liapunov's second method is used to derive analytical conditions for nonconstant, radial, low-thrust forces which assure stability in the large around libration points.
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