Abstract This paper investigates the effect of small perturbations in Coriolis and centrifugal forces on the axial libration points and their stability in Robe’s circular restricted three-body problem when the hydrostatic equilibrium figure of the first primary is an oblate spheroid; the shape of the second primary is a triaxial rigid body. It is observed that the locations of the axial libration points are only influenced by a small change in the centrifugal force due to the force function Ω being dependent of it. The magnitude of the centrifugal force shift the first libration point (p 1,0,0) towards the positive side of the x-axis, while second axial libration (x 11 + p 2,0,0) is shifted away from the origin towards the negative part of the x-axis as a result of the increase in magnitude of the triaxiality and centrifugal force. The range of stability is established and is found that the first axial libration point is stable for p 1 <0, conditionally stable for and unstable for , while the second axial libration point is stable whenever x 11 <0 and if x 11 >0, then it is conditionally stable.
Effects of perturbations in Coriolis and centrifugal forces on the locations and stability of libration points in Robe’s circular restricted three-body problem under oblate-triaxial primaries
Advances in Space Research ; 55 , 1 ; 297-302
2014-08-29
6 pages
Article (Journal)
Electronic Resource
English
British Library Conference Proceedings | 2001
|British Library Conference Proceedings | 2001
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