Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are...
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| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2019/6324901 |
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| author | Li-Bo Liu Ying-Jing Qian Xiao-Dong Yang |
| author_facet | Li-Bo Liu Ying-Jing Qian Xiao-Dong Yang |
| author_sort | Li-Bo Liu |
| collection | DOAJ |
| description | The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. Potential resonant transition or resonant flyby may occur depending on the possibility of the spacecraft approaching the Moon. Based on an analysis of ballistic capture and flyby, the Kepler energy and the planet’s perturbed gravitational sphere are used as criteria to establish connections between the initial parameters and the possible “steady” resonant orbits. The initial parameter intervals that can cause instability of the resonant orbits in the CRTBP are obtained. Examples of resonant orbits in 1:2 and 2:1 resonances are provided to verify the proposed criteria. |
| format | Article |
| id | doaj-art-32a3446017514070a7674e7fca55fa29 |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
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| series | Advances in Astronomy |
| spelling | doaj-art-32a3446017514070a7674e7fca55fa292025-02-03T06:00:54ZengWileyAdvances in Astronomy1687-79691687-79772019-01-01201910.1155/2019/63249016324901Initial Parameter Analysis about Resonant Orbits in Earth-Moon SystemLi-Bo Liu0Ying-Jing Qian1Xiao-Dong Yang2Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaThe initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. Potential resonant transition or resonant flyby may occur depending on the possibility of the spacecraft approaching the Moon. Based on an analysis of ballistic capture and flyby, the Kepler energy and the planet’s perturbed gravitational sphere are used as criteria to establish connections between the initial parameters and the possible “steady” resonant orbits. The initial parameter intervals that can cause instability of the resonant orbits in the CRTBP are obtained. Examples of resonant orbits in 1:2 and 2:1 resonances are provided to verify the proposed criteria.http://dx.doi.org/10.1155/2019/6324901 |
| spellingShingle | Li-Bo Liu Ying-Jing Qian Xiao-Dong Yang Initial Parameter Analysis about Resonant Orbits in Earth-Moon System Advances in Astronomy |
| title | Initial Parameter Analysis about Resonant Orbits in Earth-Moon System |
| title_full | Initial Parameter Analysis about Resonant Orbits in Earth-Moon System |
| title_fullStr | Initial Parameter Analysis about Resonant Orbits in Earth-Moon System |
| title_full_unstemmed | Initial Parameter Analysis about Resonant Orbits in Earth-Moon System |
| title_short | Initial Parameter Analysis about Resonant Orbits in Earth-Moon System |
| title_sort | initial parameter analysis about resonant orbits in earth moon system |
| url | http://dx.doi.org/10.1155/2019/6324901 |
| work_keys_str_mv | AT liboliu initialparameteranalysisaboutresonantorbitsinearthmoonsystem AT yingjingqian initialparameteranalysisaboutresonantorbitsinearthmoonsystem AT xiaodongyang initialparameteranalysisaboutresonantorbitsinearthmoonsystem |