MOTION IN THE GENERALIZED RESTRICTED THREE-BODY PROBLEM
MOTION IN THE GENERALIZED RESTRICTED THREE-BODY PROBLEM
| dc.contributor.author | TAURA, JOEL JOHN | |
| dc.date.accessioned | 2014-03-10T08:14:56Z | |
| dc.date.available | 2014-03-10T08:14:56Z | |
| dc.date.issued | 2011-08 | |
| dc.description | A THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS OF SCIENCE IN MATHEMATICS DEPARTMENT OF MATHEMATICS AHMADU BELLO UNIVERSITY ZARIA AUGUST 2011 | en_US |
| dc.description.abstract | This thesis investigates motion in the generalized restricted three-body problem. It is generalized in the sense that both the primaries are radiating oblate bodies, together with the effect of gravitational potential from a belt. It derives the equations of motion, locates the positions of the equilibrium points and examines their linear stability. It has been found that in addition to the usual five equilibrium points, there appear two new collinear points Ln1, n2 L due to the potential from the belt, and in the presence of all these perturbations, the equilibrium points 1 L , 3 L , 4 L , 5 L come nearer to the primaries; while 2 L , n2 L move towards the bigger primary and n1 L moves away from it. The collinear equilibrium points remain unstable, while the triangular points are stable in 0 c and unstable in 1 , c 2 where c is the critical mass ratio influenced by the oblateness and radiation of the primaries and potential from the belt. This model can be applied in the study of binary systems, especially motion near oblate, radiating binary stars. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/3517 | |
| dc.language.iso | en | en_US |
| dc.subject | MOTION, | en_US |
| dc.subject | GENERALIZED, | en_US |
| dc.subject | RESTRICTED, | en_US |
| dc.subject | THREE-BODY, | en_US |
| dc.subject | PROBLEM. | en_US |
| dc.title | MOTION IN THE GENERALIZED RESTRICTED THREE-BODY PROBLEM | en_US |
| dc.type | Thesis | en_US |
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