New approach to regularise the perturbed two-body problem

This work aims to construct a new regularisation version for the perturbed two-body problem using bipolar coordinates. We mainly use two transformation techniques to deal with this problem when the distance between two bodies tends to be zero. The system exhibits a well-stabilised periodic orbit ove...

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Bibliographic Details
Main Authors: Alhowaity Sawsan, Selim H. H., Gao Fabao, Pathak Niraj M., Abouelmagd Elbaz I.
Format: Article
Language:English
Published: Sciendo 2023-07-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2021.2.00324