A STUDY OF LIBRATION POINTS IN THE PHOTOGRAVITATIONAL CIRCULAR RESTRICTED THREE-BODY PROBLEM WITH ASPHERICITY AND POTENTIAL FROM A BELT

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dc.contributor.authorTAURA, Joel John
dc.date.accessioned2016-08-08T08:06:12Z
dc.date.available2016-08-08T08:06:12Z
dc.date.issued2016-04
dc.descriptionA THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF DOCTOR OF PHILOSOPHY IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIAen_US
dc.description.abstractThis research has investigated an improved version of the classic restricted three-body problem where both primaries are considered as non-spheroids as well as sources of radiation, and are enclosed by a belt of homogeneous cluster of material points centered at the mass center of the system. It studied the effects of the gravitational potential created by the belt on the existence of libration points and their linear stability when the primaries are:(a) radiating-oblate and (b) radiating-triaxial bodies. To this end, the equations that govern the motion of the infinitesimal body have been derived, and the positions of the libration points areobtained. It has been established that the equations and the positions of the libration points are affected by the aforementioned perturbations, such that in addition to the usual five (three collinear, two triangular) libration points of the classicrestricted three-body problem, there exist four new collinear points in the case of radiating-oblate primaries and up to two in the case of radiating-triaxial primaries. The triangular points are seen to be stable for 0 c     and unstable for 1 , 2 c     where c  is the critical mass parameter influenced by the radiation and oblateness/triaxiality of the primaries and potential from the belt. The combined effect of these perturbations is a stabilizing tendency when the primaries are oblate and adestabilizing tendency when they are triaxial. The classical three collinear libration points 1, 2 3 (L L , L ) remain unstable, whereas some of the new libration points have been found to be stable. Furthermore, periodic orbits around the stable triangular points owing to the amalgamated effect of the radiation and oblateness up to the coefficient J4 of the primaries and potential from the belt are found to be ellipses.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8358
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectLIBRATION POINTS,en_US
dc.subjectPHOTOGRAVITATIONAL CIRCULAR RESTRICTED.en_US
dc.subjectTHREE-BODY PROBLEM.en_US
dc.subjectASPHERICITY,en_US
dc.subjectPOTENTIAL,en_US
dc.subjectBELT,en_US
dc.titleA STUDY OF LIBRATION POINTS IN THE PHOTOGRAVITATIONAL CIRCULAR RESTRICTED THREE-BODY PROBLEM WITH ASPHERICITY AND POTENTIAL FROM A BELTen_US
dc.typeThesisen_US
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