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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2023-07-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2021.2.00324 |
| _version_ | 1797266185865134080 |
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| author | Alhowaity Sawsan Selim H. H. Gao Fabao Pathak Niraj M. Abouelmagd Elbaz I. |
| author_facet | Alhowaity Sawsan Selim H. H. Gao Fabao Pathak Niraj M. Abouelmagd Elbaz I. |
| author_sort | Alhowaity Sawsan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T16:20:18Z |
| format | Article |
| id | doaj.art-f748344dbfde42128dc36d25089494b4 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-25T00:56:41Z |
| publishDate | 2023-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-f748344dbfde42128dc36d25089494b42024-03-11T10:05:45ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-07-01821245125810.2478/amns.2021.2.00324New approach to regularise the perturbed two-body problemAlhowaity Sawsan0Selim H. H.1Gao Fabao2Pathak Niraj M.3Abouelmagd Elbaz I.41Department of Mathematics, College of Science & Humanities, Shaqra University, Saudi Arabia2Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Helwan 11421, Cairo, Egypt3School of Mathematical Science, Yangzhou University, Yangzhou225002, China4Department of Mathematics, Faculty of Technology, Dharmsinh Desai University, Nadiad, Gujarat, 3870001, India2Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Helwan 11421, Cairo, EgyptThis 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.https://doi.org/10.2478/amns.2021.2.00324perturbed two-body problemregularisationbipolar coordinates70h0570h0770f0570f1570f16 |
| spellingShingle | Alhowaity Sawsan Selim H. H. Gao Fabao Pathak Niraj M. Abouelmagd Elbaz I. New approach to regularise the perturbed two-body problem Applied Mathematics and Nonlinear Sciences perturbed two-body problem regularisation bipolar coordinates 70h05 70h07 70f05 70f15 70f16 |
| title | New approach to regularise the perturbed two-body problem |
| title_full | New approach to regularise the perturbed two-body problem |
| title_fullStr | New approach to regularise the perturbed two-body problem |
| title_full_unstemmed | New approach to regularise the perturbed two-body problem |
| title_short | New approach to regularise the perturbed two-body problem |
| title_sort | new approach to regularise the perturbed two body problem |
| topic | perturbed two-body problem regularisation bipolar coordinates 70h05 70h07 70f05 70f15 70f16 |
| url | https://doi.org/10.2478/amns.2021.2.00324 |
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