<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 over a long time span through numerical simulations. With the increase in the oblate parameter value of the body, the periodic orbit will gradually evolve into a quasi-periodic form.</p>
</abstract>

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 over a long time span through numerical simulations. With the increase in the oblate parameter value of the body, the periodic orbit will gradually evolve into a quasi-periodic form.

New approach to regularise the perturbed two-body problem

College of Science & Humanities, Shaqra University

Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department

Department of Mathematics, Faculty of Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

New approach to regularise the perturbed two-body problem

Published Online: Nov 25, 2022

Page range: 1245 - 1258

Received: Sep 16, 2022

Accepted: Oct 18, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00324

Keywords
Perturbed two-body problem, regularisation, bipolar coordinates

© 2023 Sawsan Alhowaity et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

New approach to regularise the perturbed two-body problem

Published Online: Nov 25, 2022

Page range: 1245 - 1258

Received: Sep 16, 2022

Accepted: Oct 18, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00324

KeywordsPerturbed two-body problem, regularisation, bipolar coordinates

© 2023 Sawsan Alhowaity et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Perturbed two-body problem, regularisation, bipolar coordinates