New approach to regularise the perturbed two-body problem-Reference-Cited by-同舟云学术

New approach to regularise the perturbed two-body problem

Published:2022-11-25 Issue:0 Volume:0 Page:
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Alhowaity Sawsan¹,Selim H. H.²,Gao Fabao³,Pathak Niraj M.⁴,Abouelmagd Elbaz I.²

Affiliation:

1. 1 Department of Mathematics , College of Science & Humanities, Shaqra University , Saudi Arabia

2. 2 Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department , National Research Institute of Astronomy and Geophysics (NRIAG) , Helwan 11421, Cairo , Egypt

3. 3 School of Mathematical Science , Yangzhou University , Yangzhou 225002 , China

4. 4 Department of Mathematics, Faculty of Technology , Dharmsinh Desai University , Nadiad, Gujarat, 3870001 , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2021.2.00324

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