AN EXAMINATION OF THE MOTION OF AN OBLATE INFINITESIMAL BODY IN THE GENERALIZED PHOTOGRAVITATIONAL ER3BP WITH CIRCUMBINARY DISC
AN EXAMINATION OF THE MOTION OF AN OBLATE INFINITESIMAL BODY IN THE GENERALIZED PHOTOGRAVITATIONAL ER3BP WITH CIRCUMBINARY DISC
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Date
2021
Authors
UMAR, BASHIR
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Abstract
This 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.
Description
A 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