Journal des sciences théoriques et computationnelles
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Collinear Libration Points in the Perturbed Circular Restricted Three- Body Problem with Heterogeneous and Luminous Primaries Surrounded by a Belt

Jagadish Singh*, Sunusi Haruna

This paper studies a modified type of the classical restricted three-body problem where both primaries are radiating and are heterogeneous oblate spheroids with three layers of different densities, encompassed by circular cluster of material points centred at the mass center of the system (belt) together with additional effects of small perturbations in the Coriolis and centrifugal forces. Using semi analytical and numerical approach, the collinear points are found to be unstable. In addition to the three collinear libration points in the classical case, it appears that there is one more collinear point which resulted from the effects of heterogeneity of the participating primaries together with potential from a belt, though the additional points are found linearly unstable. A practical application of this model could be the study of motion of a dust grain near the heterogeneous and luminous star surrounded by a belt.