INVESTIGATING THE EFFECTS OF AN OBLATE SATELLITE ON EQUILIBRIUMPOINTS FOR PHOTOGRAVITATIONAL ELLIPTIC RESTRICTED THREE-BODY PROBLEM (ER3BP)
INVESTIGATING THE EFFECTS OF AN OBLATE SATELLITE ON EQUILIBRIUMPOINTS FOR PHOTOGRAVITATIONAL ELLIPTIC RESTRICTED THREE-BODY PROBLEM (ER3BP)
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Date
2019-12
Authors
SA’AD, Maryam
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Abstract
We investigate in the elliptic framework of the restricted problem of three-bodies, the
motion of an oblate infinitesimal particle in the vicinity of a luminous primary and an
oblate secondary. The locations and stability of the equilibrium points are found to be
affected by the eccentricity, oblatenessand radiation pressure parameters. We highlights
the effects of the said parameters on the locations of the triangular points and
stabilityusing CEN X-3 model. The triangular points are also found to be stable for
0 C ; where is the mass ratio 1
2
. Further analysis indicates that
collinear points remain unstable in spite of the introduction of these parameters.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF
POSTGRADUATESTUDIES AHMADU BELLO UNIVERSITY IN PARTIAL
FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER
OF SCIENCE DEGREE IN MATHMEATICS
DEPARTMENT OF MATHEMATICS,
FACUTLY OF PHYSICAL SCIENCES,
AHMADU BELLO UNIVERSITY,
ZARIA, NIGERIA
Keywords
INVESTIGATING,, EFFECTS OF AN OBLATE SATELLITE,, EQUILIBRIUMPOINTS,, HOTOGRAVITATIONAL ELLIPTIC RESTRICTED,, THREE-BODY PROBLEM