AN EXAMINATION OF THE MOTION OF AN OBLATE INFINITESIMAL BODY IN THE GENERALIZED PHOTOGRAVITATIONAL ER3BP WITH CIRCUMBINARY DISC

Simple item page
dc.contributor.authorUMAR, BASHIR
dc.date.accessioned2023-02-02T09:35:32Z
dc.date.available2023-02-02T09:35:32Z
dc.date.issued2021
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF PHYSICAL SCIENCES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA
dc.description.abstractThis study examined the motion of an oblate infinitesimal body under the influence of two finite luminous bodies together with the gravitational potential from a disc, within the framework of the elliptic restricted three body problem. The locations and stability of the equilibrium points with respect to the eccentricity, oblateness of the third body, radiation pressure parameters and gravitational potential from a disc were established. A close examination of  c , shows that all the parameters cause a reduction in the size of the region of stability confirming their destabilizing tendencies, while the gravitational potential from the circumbinary disc has a stabilizing effect. The study also, numerically highlights the influence of the aforementioned parameters on the locations/stability of the triangular and collinear points for the binary systems HD98800B and GJ630.1A. It is observed that the triangular points are stable for 0<µ<µC and unstable for µC <µ < 1/2 and in the case of collinear points we see that the equation determining the distance ratio among the three masses is an eleventh-order polynomial. The collinear points however remain unstable even under the effects of radiation pressure of both the primaries, oblateness of the third body and potential from a disc.
dc.identifier.urihttps://kubanni.abu.edu.ng/handle/123456789/12763
dc.language.isoen
dc.titleAN EXAMINATION OF THE MOTION OF AN OBLATE INFINITESIMAL BODY IN THE GENERALIZED PHOTOGRAVITATIONAL ER3BP WITH CIRCUMBINARY DISC
dc.typeThesis
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
AN EXAMINATION OF THE MOTION OF AN OBLATE INFINITESIMAL .pdf
Size:
1.98 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
SCIENCE