BEING A RESEARCH THESIS SUBMITTED TO THE POST GRADUTE SCHOOL OF AHMADU BELLO UNIVERSITY ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE AWARD OF MASTERS OF SCIENCE (MSC) DEGREE IN PUBLIC ADMINISTRATION
BEING A RESEARCH THESIS SUBMITTED TO THE POST GRADUTE SCHOOL OF AHMADU BELLO UNIVERSITY ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE AWARD OF MASTERS OF SCIENCE (MSC) DEGREE IN PUBLIC ADMINISTRATION
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Date
2015-05
Authors
OMALE, Achonu Joseph
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Abstract
This research work analyzes the motion of an infinitesimal mass in the framework of Robe’s circular restricted three-body problem in two cases: (i) when the hydrostatic equilibrium figure of the first primary is an oblate spheroid, the shape of the second primary is considered as an oblate spheroid with oblateness coefficients up to the second zonal harmonic, and (ii) when the primary bodies form a Roche ellipsoid-triaxial system. Without ignoring any component in both cases, a full treatment is given to the buoyancy force. The relevant equations of motion are established, and a special case where the density of the fluid and that of the infinitesimal mass are equal (D = 0) is discussed. It is observed in the first case that there are two axial libration points on the line joining the centers of the primaries, points on the circle within the first primary are also libration points under certain conditions. It is further found that the first axial point is stable, while the second one is conditionally stable, and the circular points are unstable. The location of the libration point and its stability when the infinitesimal mass is denser than the medium (D > 0), in the second case, are also studied and it is found that the origin (0, 0, 0) of the system is the only libration point, and this point is stable.
Description
A THESIS SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA
Keywords
ROBE’S CIRCULAR, RESTRICTED, THREE-BODY, ZONAL HARMONICS, ROCHE, ELLIPSOID-TRIAXIAL, SYSTEM