The Main Problem of Lunar Orbit Revisited
A novel algorithm based on the Lindstedt–Poincaré method is proposed to construct an analytical solution of the lunar orbit. Based on the analytical solution, a numerical fitting algorithm is proposed to improve the coefficients of the analytical solution so that its accuracy can reach the level of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | The Astronomical Journal |
| Subjects: | |
| Online Access: | https://doi.org/10.3847/1538-3881/acbafa |
| _version_ | 1797701458334842880 |
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| author | Bo-Sheng Li Xi-Yun Hou |
| author_facet | Bo-Sheng Li Xi-Yun Hou |
| author_sort | Bo-Sheng Li |
| collection | DOAJ |
| description | A novel algorithm based on the Lindstedt–Poincaré method is proposed to construct an analytical solution of the lunar orbit. Based on the analytical solution, a numerical fitting algorithm is proposed to improve the coefficients of the analytical solution so that its accuracy can reach the level of a few kilometers within 20 yr. By fitting our solution to the long-term JPL ephemerides, we are able to recover the receding speed of the Moon from the Earth due to tidal effects. The proposed algorithm also provides a general way to treat the third-body perturbation in rectangular coordinates. |
| first_indexed | 2024-03-12T04:35:59Z |
| format | Article |
| id | doaj.art-57b90144907448b9bbf73ee2c92be9a0 |
| institution | Directory Open Access Journal |
| issn | 1538-3881 |
| language | English |
| last_indexed | 2024-03-12T04:35:59Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astronomical Journal |
| spelling | doaj.art-57b90144907448b9bbf73ee2c92be9a02023-09-03T09:55:20ZengIOP PublishingThe Astronomical Journal1538-38812023-01-01165414710.3847/1538-3881/acbafaThe Main Problem of Lunar Orbit RevisitedBo-Sheng Li0Xi-Yun Hou1School of Astronomy and Space Science, Nanjing University , Nanjing 210023, People's Republic of China ; houxiyun@nju.edu.cn; Institute of Space Environment and Astrodynamics, Nanjing University , Nanjing 210023, People's Republic of China; Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Education , Nanjing 210023, People's Republic of ChinaSchool of Astronomy and Space Science, Nanjing University , Nanjing 210023, People's Republic of China ; houxiyun@nju.edu.cn; Institute of Space Environment and Astrodynamics, Nanjing University , Nanjing 210023, People's Republic of China; Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Education , Nanjing 210023, People's Republic of ChinaA novel algorithm based on the Lindstedt–Poincaré method is proposed to construct an analytical solution of the lunar orbit. Based on the analytical solution, a numerical fitting algorithm is proposed to improve the coefficients of the analytical solution so that its accuracy can reach the level of a few kilometers within 20 yr. By fitting our solution to the long-term JPL ephemerides, we are able to recover the receding speed of the Moon from the Earth due to tidal effects. The proposed algorithm also provides a general way to treat the third-body perturbation in rectangular coordinates.https://doi.org/10.3847/1538-3881/acbafaLunar theoryPerturbation methodsOrbital motion |
| spellingShingle | Bo-Sheng Li Xi-Yun Hou The Main Problem of Lunar Orbit Revisited The Astronomical Journal Lunar theory Perturbation methods Orbital motion |
| title | The Main Problem of Lunar Orbit Revisited |
| title_full | The Main Problem of Lunar Orbit Revisited |
| title_fullStr | The Main Problem of Lunar Orbit Revisited |
| title_full_unstemmed | The Main Problem of Lunar Orbit Revisited |
| title_short | The Main Problem of Lunar Orbit Revisited |
| title_sort | main problem of lunar orbit revisited |
| topic | Lunar theory Perturbation methods Orbital motion |
| url | https://doi.org/10.3847/1538-3881/acbafa |
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