Celestial mechanics

, Volume 35, Issue 3, pp 201–207 | Cite as

Effect of perturbations on the stability of triangular points. In the restricted problem of three bodies with variable mass

  • Jagadish Singh
  • Bhola Ishwar


The effect of small perturbations ε and ε′ in the coriolis and the centrifugal forces respectively on the stability of the triangular points in the restricted problem of three bodies with variable mass has been studied. It is found that the range of stability of triangular points increases or decreases depending upon whether the perturbation point (ε, ε′) lies in one or the other of the two parts in which the (ε, ε′) plane is divided by the line J8ε−J9ε′=0 where J8 and J9 depend upon β, the constant due to the variation in mass governed by Jeans' law.


Small Perturbation Centrifugal Force Variable Mass Restricted Problem Triangular Point 
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Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • Jagadish Singh
    • 1
  • Bhola Ishwar
    • 2
  1. 1.Department of MathematicsVaishali Institute of Technology and ResearchMuzaffarpurIndia
  2. 2.Department of MathematicsBihar UniversityMuzaffarpurIndia

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