International Journal of Education & Applied Sciences Research
Print ISSN : 2349 –4808
Online ISSN : 2349 –2899
Frequency : Continuous
Current Issue : Volume 1 , Issue 6
2014
*Muhammad Amjad, **Mohd. Aslam, ***Mohd. Kashif Khan
*,**&***Department of Mathematics Al-Falah University, Faridabad (Haryana)−121004, India
Department of Mathematics Al-Falah University, Faridabad (Haryana)−121004, India
1E-mail:amjadmsctech@gmail.com
2E-mail:kidwaiaslam@gmail.com
3E-mail:md.kashifkhan85@gmail.com
Published Online : 2014-10-30
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Abstract
In this paper we have shown the existence of libration points in the restricted three-body problem when the smaller primary is a uniform straight rod. It is found that there exist five libration points out of which Li (i=1, 2, 3) are collinear and L4, 5 are non-collinear .The collinear libration points are unstable for 0 ≤ µ ≤ ½ and 0 < l <1 while non-collinear libration points are stable for critical value of mass parameter µc = 0.381410285…. and length parameter lc =0.4.
Key Words: Celestial Mechanics, Restricted three-body problem, Collinear Libration points, Non-collinear Libration Points, Stability of Libration points.
