Abstract
The existence of equilibrium points and the effect of radiation pressure have been discussed numerically. The problem is generalized by considering bigger primary as a source of radiation and small primary as an oblate spheroid. We have also discussed the Poynting-Robertson (P-R) effect which is caused due to radiation pressure. It is found that the collinear points L 1,L 2,L 3 deviate from the axis joining the two primaries, while the triangular points L 4,L 5 are not symmetrical due to radiation pressure. We have seen that L 1,L 2,L 3 are linearly unstable while L 4,L 5 are conditionally stable in the sense of Lyapunov when P-R effect is not considered. We have found that the effect of radiation pressure reduces the linear stability zones while P-R effect induces an instability in the sense of Lyapunov.
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Kushvah, B.S. The effect of radiation pressure on the equilibrium points in the generalized photogravitational restricted three body problem. Astrophys Space Sci 315, 231–241 (2008). https://doi.org/10.1007/s10509-008-9823-6
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DOI: https://doi.org/10.1007/s10509-008-9823-6