A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body
<jats:title>ABSTRACT</jats:title> <jats:p>This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain a linear system for the unperturbed problem...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oxford University Press (OUP)
2022
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| Online Access: | https://hdl.handle.net/1721.1/145410 |
| _version_ | 1826212635635351552 |
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| author | Arnas, David Linares, Richard |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Arnas, David Linares, Richard |
| author_sort | Arnas, David |
| collection | MIT |
| description | <jats:title>ABSTRACT</jats:title>
<jats:p>This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain a linear system for the unperturbed problem and, in addition, a completely polynomial system when considering the perturbation produced by the zonal harmonics from the gravitational force of an oblate celestial body. These orbital elements present no singularities and are able to represent any kind of orbit, including elliptic, parabolic, and hyperbolic orbits. Moreover, an application to this formulation of the Poincaré–Lindstedt perturbation method is included to obtain an approximate first-order solution of the problem for the case of the J2 perturbation, showing the performance of the methodology for different kinds of orbits.</jats:p> |
| first_indexed | 2024-09-23T15:31:18Z |
| format | Article |
| id | mit-1721.1/145410 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:31:18Z |
| publishDate | 2022 |
| publisher | Oxford University Press (OUP) |
| record_format | dspace |
| spelling | mit-1721.1/1454102022-09-29T14:51:20Z A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body Arnas, David Linares, Richard Massachusetts Institute of Technology. Department of Aeronautics and Astronautics <jats:title>ABSTRACT</jats:title> <jats:p>This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain a linear system for the unperturbed problem and, in addition, a completely polynomial system when considering the perturbation produced by the zonal harmonics from the gravitational force of an oblate celestial body. These orbital elements present no singularities and are able to represent any kind of orbit, including elliptic, parabolic, and hyperbolic orbits. Moreover, an application to this formulation of the Poincaré–Lindstedt perturbation method is included to obtain an approximate first-order solution of the problem for the case of the J2 perturbation, showing the performance of the methodology for different kinds of orbits.</jats:p> 2022-09-14T16:08:32Z 2022-09-14T16:08:32Z 2021 2022-09-14T15:57:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145410 Arnas, David and Linares, Richard. 2021. "A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body." Monthly Notices of the Royal Astronomical Society, 502 (3). en 10.1093/MNRAS/STAA4040 Monthly Notices of the Royal Astronomical Society Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press (OUP) arXiv |
| spellingShingle | Arnas, David Linares, Richard A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title | A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title_full | A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title_fullStr | A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title_full_unstemmed | A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title_short | A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| title_sort | set of orbital elements to fully represent the zonal harmonics around an oblate celestial body |
| url | https://hdl.handle.net/1721.1/145410 |
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