{ "id": "0801.3369", "version": "v2", "published": "2008-01-22T13:59:14.000Z", "updated": "2008-05-16T12:04:45.000Z", "title": "The Effect of Radiation Pressure on the Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem", "authors": [ "Badam Singh Kushvah" ], "journal": "Astrophysics and Space Science, Volume 315, Numbers 1-4 / June, 2008", "doi": "10.1007/s10509-008-9823-6", "categories": [ "math.DS" ], "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.", "revisions": [ { "version": "v2", "updated": "2008-05-16T12:04:45.000Z" } ], "analyses": { "subjects": [ "70F15" ], "keywords": [ "equilibrium points", "generalised photogravitational", "body problem", "linear stability zones", "radiation pressure reduces" ], "tags": [ "journal article" ], "publication": { "journal": "Astrophysics and Space Science", "year": 2008, "month": "Jun", "volume": 315, "number": "1-4", "pages": 231 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008Ap&SS.315..231K" } } }