The effect of small perturbations in the Coriolis and centrifugal forces in the axisymmetric restricted five-body problem
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In the framework of the axisymmetric problem of restricted five bodies, the existence and stability of the libration points, the regions of possible motion are illustrated and analyzed numerically, under the effect of small perturbations in the Coriolis and centrifugal forces. It is explored how the parameters influence substantially the positions of the libration points and the possible regions of motion. In an attempt to understand how the parameters involved due to the small perturbations in the Coriolis and centrifugal forces affect the stability of the libration points, we perform a systematic investigation and reveal that some of the collinear and non-collinear libration points are stable under these perturbations, whereas none of these libration points are stable for any combination of the angle parameters when the effects of these forces are neglected.
KeywordsFive-body problem The Coriolis and centrifugal forces Libration points Stability Zero-velocity curves
The authors are thankful to Center for Fundamental Research in Space dynamics and Celestial mechanics (CFRSC), New Delhi, Delhi, India for providing research facilities. We thank the anonymous referees for careful reading of the manuscript and for all the useful suggestions and comments, which helped us to improve the quality and clarity of the paper.
Compliance with Ethical Standards
Funding: The authors state that they have not received any research grants.
Conflict of interest: The authors declare that they have no conflict of interest.
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