Journal :   International Journal of Technology

Volume No. :   6

Issue No. :  2

Year :  2016

Pages :   185-190

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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Combined effects of Finite Straight Segment and Oblateness on the Libration Points in the Restricted-Three Body Problem



Address:   Dinesh Kumar1, Rajiv Aggarwal2, Mamta Jain3
1Shyama Prasad Mukherji College (For Women), University of Delhi, New Delhi, India
2Sri Aurobindo College, University of Delhi, New Delhi, India
3Bhagini Nivedita College, University of Delhi, New Delhi, India
*Corresponding Author
DOI No: 10.5958/2231-3915.2016.00028.6

ABSTRACT:
This paper deals with the existence and stability of the libration points in the restricted-three body problem when the smaller primary is a finite straight segment and bigger primary is an oblate spheroid. We have observed that five libration points do exist in this problem, out of which three are collinear and two are non-collinear with the primaries. The collinear libration points are unstable for all values of mass parameter and the non-collinear libration points are stable if , where is a critical value of mass parameter . The range of stability depends length of the finite straight segment and oblateness factor.
KEYWORDS:
Restricted three-body problem, Libration points, Stability, Finite straight segment, Oblate spheroid.
Cite:
Dinesh Kumar, Rajiv Aggarwal, Mamta Jain. Combined effects of Finite Straight Segment and Oblateness on the Libration Points in the Restricted-Three Body Problem. Int. J. Tech. 2016; 6(2): 185-190.
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