PERTURBED ROBE’S CIRCULAR RESTRICTED THREE-BODY PROBLEM UNDER AN OBLATE PRIMARY

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dc.contributor.authorOMEBIJE, VERONICA UGBEDEOJO
dc.date.accessioned2017-02-20T12:03:41Z
dc.date.available2017-02-20T12:03:41Z
dc.date.issued2015-05
dc.descriptionA THESIS SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractThe research work examines the existence and linear stability of equilibrium points in the perturbed Robe’s circular restricted three-body problem under the assumption that the hydrostatic equilibrium figure of the first primary is an oblate spheroid. The problem is perturbed in the sense that small perturbations given to the Coriolis and centrifugal forces are being considered. Results of the analysis found two axial equilibrium points on the line joining the centre of both primaries. It is further observed that under certain conditions, points on the circle within the first primary are also equilibrium points. And a special case where the density of the fluid and that of the infinitesimal mass are equal (D = 0) is discussed. The linear stability of this configuration is examined; it is observed that the axial equilibrium points 𝑝1,0,0 and 𝑥11 +𝑝2 ,0,0 are conditionally stable, while the circular points 1 +r𝑐os𝜃,𝑟𝑠in𝜃,0 are unstable.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8740
dc.language.isoenen_US
dc.subjectPERTURBED ROBE’S CIRCULAR RESTRICTED,en_US
dc.subjectTHREE-BODY PROBLEM,en_US
dc.subjectOBLATE PRIMARY,en_US
dc.titlePERTURBED ROBE’S CIRCULAR RESTRICTED THREE-BODY PROBLEM UNDER AN OBLATE PRIMARYen_US
dc.typeThesisen_US
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