Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness
Joint Authors
Umar Sandah, Abubakar
Singh, Jagadish
Source
Advances in Mathematical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-16
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper investigates the positions and linear stability of an infinitesimal body around the equilibrium points in the framework of the Robe’s circular restricted three-body problem, with assumptions that the hydrostatic equilibrium figure of the first primary is an oblate spheroid and the second primary is an oblate body as well.
It is found that equilibrium point exists near the centre of the first primary.
Further, there can be one more equilibrium point on the line joining the centers of both primaries.
Points on the circle within the first primary are also equilibrium points under certain conditions and the existence of two out-of-plane points is also observed.
The linear stability of this configuration is examined and it is found that points near the center of the first primary are conditionally stable, while the circular and out of plane equilibrium points are unstable.
American Psychological Association (APA)
Singh, Jagadish& Umar Sandah, Abubakar. 2012. Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness. Advances in Mathematical Physics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-489825
Modern Language Association (MLA)
Singh, Jagadish& Umar Sandah, Abubakar. Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness. Advances in Mathematical Physics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-489825
American Medical Association (AMA)
Singh, Jagadish& Umar Sandah, Abubakar. Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness. Advances in Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-489825
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489825