alexa Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies
Physics

Physics

Journal of Astrophysics & Aerospace Technology

Author(s): Ravinder Kumar Sharma, Z A Taqvi, K B Bhatnagar

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This paper deals with the stationary solutions of the planar restricted three-body problem when the primaries are triaxial rigid bodies with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points, two triangular and three collinear. It is further observed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0 ≤ μ < μcrit(the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of μ.

This article was published in Celestial Mechanics and Dynamical Astronomy and referenced in Journal of Astrophysics & Aerospace Technology

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