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International Journal of Technology
Year : 2016, Volume : 6, Issue : 2
First page : ( 185) Last page : ( 190)
Print ISSN : 2231-3907. Online ISSN : 2231-3915.
Article DOI : 10.5958/2231-3915.2016.00028.6

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

Kumar Dinesh1,*, Aggarwal Rajiv2,**, Jain Mamta3,***

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 Email: dineshk8392@gmail.com

** rajiv_agg1973@yahoo.com

*** mamtag27@gmail.com

Online published on 2 February, 2017.

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 /u and the non-collinear libration points are stable if jU < /Jc, where jU is a critical value of mass parameter /u. The range of stability depends length of the finite straight segment and oblateness factor.

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Keywords

Restricted three-body problem, Libration points, Stability, Finite straight segment, Oblate spheroid.

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