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Existence and Stability of L4,5 In The Relativistic Restricted Three-Body Problem
Authors:K B Bhatnagar  P P Hallan
Institution:(1) Centre for Fundamental Research in Space Dynamics Celestial Mechanics, IA/47C, Ashok Vihar, New Delhi, 110052 (, INDIA
Abstract:The existence and stability of triangular libration points in the relativistic restricted three-body problem has been studied. It is found that L4,5 are unstable in the whole range 0 ≤ µ ≤ 1/2 in contrast to the classical restricted three-body problem where they are stable for 0 < µ < µ0, where µ is the mass parameter and µ0 = 0.03852....
Keywords:restricted three-body problem  libration points  stability
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