A multi-step method to calculate long-term quasi-periodic orbits around the Sun-Earth L1/L2
Quasi-periodic orbits around the libration point orbits have attracted significant attention since they can provide more opportunities for space missions. This paper proposes a variable step-size multistep method that can effectively calculate long-term quasi-periodic orbits around the Sun-Earth L 1...
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| Veröffentlicht in: | Astrophysics and space science 2022-10, Vol.367 (10) |
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| creator | Tan, Minghu Ma, Bingbing Li, Haoyu |
| description | Quasi-periodic orbits around the libration point orbits have attracted significant attention since they can provide more opportunities for space missions. This paper proposes a variable step-size multistep method that can effectively calculate long-term quasi-periodic orbits around the Sun-Earth
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in the Sun-Earth-Moon bicircular model. In this method, periodic orbits in the Sun-Earth
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1
/
L
2
serve as the initial reference trajectories for quasi-periodic orbits. Then a two-level multiple shooting is introduced to transition periodic orbits to the short-term quasi-periodic orbits. Finally, a variable step-size multistep method is proposed to obtain long-term quasi-periodic orbits based on the approximately linear relationship between the two-level multiple shooting method and step size. Numerical results show that this method can effectively obtain a large set of long-term quasi-periodic orbits whether the quasi-periodic orbits have free or fixed initial positions. Furthermore, this method is also extended to design long-term quasi-periodic orbits with differential phase angles of the Moon. |
| doi_str_mv | 10.1007/s10509-022-04135-5 |
| format | Article |
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L
1
/
L
2
in the Sun-Earth-Moon bicircular model. In this method, periodic orbits in the Sun-Earth
L
1
/
L
2
serve as the initial reference trajectories for quasi-periodic orbits. Then a two-level multiple shooting is introduced to transition periodic orbits to the short-term quasi-periodic orbits. Finally, a variable step-size multistep method is proposed to obtain long-term quasi-periodic orbits based on the approximately linear relationship between the two-level multiple shooting method and step size. Numerical results show that this method can effectively obtain a large set of long-term quasi-periodic orbits whether the quasi-periodic orbits have free or fixed initial positions. Furthermore, this method is also extended to design long-term quasi-periodic orbits with differential phase angles of the Moon.</description><identifier>ISSN: 0004-640X</identifier><identifier>EISSN: 1572-946X</identifier><identifier>DOI: 10.1007/s10509-022-04135-5</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Algorithms ; Astrobiology ; Astronomy ; Astrophysics ; Astrophysics and Astroparticles ; Cosmology ; Design ; Earth ; Earth-Moon system ; Lagrangian equilibrium points ; Libration ; Methods ; Moon ; Observations and Techniques ; Orbits ; Partial differential equations ; Physics ; Physics and Astronomy ; Solar system ; Space Exploration and Astronautics ; Space missions ; Space Sciences (including Extraterrestrial Physics</subject><ispartof>Astrophysics and space science, 2022-10, Vol.367 (10)</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10509-022-04135-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10509-022-04135-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Tan, Minghu</creatorcontrib><creatorcontrib>Ma, Bingbing</creatorcontrib><creatorcontrib>Li, Haoyu</creatorcontrib><title>A multi-step method to calculate long-term quasi-periodic orbits around the Sun-Earth L1/L2</title><title>Astrophysics and space science</title><addtitle>Astrophys Space Sci</addtitle><description>Quasi-periodic orbits around the libration point orbits have attracted significant attention since they can provide more opportunities for space missions. This paper proposes a variable step-size multistep method that can effectively calculate long-term quasi-periodic orbits around the Sun-Earth
L
1
/
L
2
in the Sun-Earth-Moon bicircular model. In this method, periodic orbits in the Sun-Earth
L
1
/
L
2
serve as the initial reference trajectories for quasi-periodic orbits. Then a two-level multiple shooting is introduced to transition periodic orbits to the short-term quasi-periodic orbits. Finally, a variable step-size multistep method is proposed to obtain long-term quasi-periodic orbits based on the approximately linear relationship between the two-level multiple shooting method and step size. Numerical results show that this method can effectively obtain a large set of long-term quasi-periodic orbits whether the quasi-periodic orbits have free or fixed initial positions. Furthermore, this method is also extended to design long-term quasi-periodic orbits with differential phase angles of the Moon.</description><subject>Algorithms</subject><subject>Astrobiology</subject><subject>Astronomy</subject><subject>Astrophysics</subject><subject>Astrophysics and Astroparticles</subject><subject>Cosmology</subject><subject>Design</subject><subject>Earth</subject><subject>Earth-Moon system</subject><subject>Lagrangian equilibrium points</subject><subject>Libration</subject><subject>Methods</subject><subject>Moon</subject><subject>Observations and Techniques</subject><subject>Orbits</subject><subject>Partial differential equations</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Solar system</subject><subject>Space Exploration and Astronautics</subject><subject>Space missions</subject><subject>Space Sciences (including Extraterrestrial Physics</subject><issn>0004-640X</issn><issn>1572-946X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNpFkMtqwzAQRUVpoWnaH-hK0LWakWRZ0TKE9AGGLppFoAshW3Li4FiOHv9ftyl0NVw4M3c4CD1SeKYAchEpCFAEGCNQUC6IuEIzKiQjqih312gGAAUpC9jdorsYj1NUpZIz9LXCp9ynjsTkRnxy6eAtTh43pm9yb5LDvR_2JLlwwudsYkdGFzpvuwb7UHcpYhN8Hqadg8OfeSAbE9IBV3RRsXt005o-uoe_OUfbl812_Uaqj9f39aoio2SCUMUUayQYSVlti7Z1qqzVkqola41sbF1boAKWJee14MX0NkjTNK60raFggc_R0-XsGPw5u5j00ecwTI2aSUZBCqrURPELFcfQDXsX_ikK-keivkjUk0T9K1EL_g0WN2Q0</recordid><startdate>20221001</startdate><enddate>20221001</enddate><creator>Tan, Minghu</creator><creator>Ma, Bingbing</creator><creator>Li, Haoyu</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>3V.</scope><scope>7TG</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>L7M</scope><scope>M2P</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope></search><sort><creationdate>20221001</creationdate><title>A multi-step method to calculate long-term quasi-periodic orbits around the Sun-Earth L1/L2</title><author>Tan, Minghu ; Ma, Bingbing ; Li, Haoyu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p725-19292c70a712bd4ffe96b981982fa7cdbbd01508633b53496907acce6dfa10d03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>Astrobiology</topic><topic>Astronomy</topic><topic>Astrophysics</topic><topic>Astrophysics and Astroparticles</topic><topic>Cosmology</topic><topic>Design</topic><topic>Earth</topic><topic>Earth-Moon system</topic><topic>Lagrangian equilibrium points</topic><topic>Libration</topic><topic>Methods</topic><topic>Moon</topic><topic>Observations and Techniques</topic><topic>Orbits</topic><topic>Partial differential equations</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Solar system</topic><topic>Space Exploration and Astronautics</topic><topic>Space missions</topic><topic>Space Sciences (including Extraterrestrial Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tan, Minghu</creatorcontrib><creatorcontrib>Ma, Bingbing</creatorcontrib><creatorcontrib>Li, Haoyu</creatorcontrib><collection>ProQuest Central (Corporate)</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><jtitle>Astrophysics and space science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tan, Minghu</au><au>Ma, Bingbing</au><au>Li, Haoyu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A multi-step method to calculate long-term quasi-periodic orbits around the Sun-Earth L1/L2</atitle><jtitle>Astrophysics and space science</jtitle><stitle>Astrophys Space Sci</stitle><date>2022-10-01</date><risdate>2022</risdate><volume>367</volume><issue>10</issue><issn>0004-640X</issn><eissn>1572-946X</eissn><abstract>Quasi-periodic orbits around the libration point orbits have attracted significant attention since they can provide more opportunities for space missions. This paper proposes a variable step-size multistep method that can effectively calculate long-term quasi-periodic orbits around the Sun-Earth
L
1
/
L
2
in the Sun-Earth-Moon bicircular model. In this method, periodic orbits in the Sun-Earth
L
1
/
L
2
serve as the initial reference trajectories for quasi-periodic orbits. Then a two-level multiple shooting is introduced to transition periodic orbits to the short-term quasi-periodic orbits. Finally, a variable step-size multistep method is proposed to obtain long-term quasi-periodic orbits based on the approximately linear relationship between the two-level multiple shooting method and step size. Numerical results show that this method can effectively obtain a large set of long-term quasi-periodic orbits whether the quasi-periodic orbits have free or fixed initial positions. Furthermore, this method is also extended to design long-term quasi-periodic orbits with differential phase angles of the Moon.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10509-022-04135-5</doi></addata></record> |
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| subjects | Algorithms Astrobiology Astronomy Astrophysics Astrophysics and Astroparticles Cosmology Design Earth Earth-Moon system Lagrangian equilibrium points Libration Methods Moon Observations and Techniques Orbits Partial differential equations Physics Physics and Astronomy Solar system Space Exploration and Astronautics Space missions Space Sciences (including Extraterrestrial Physics |
| title | A multi-step method to calculate long-term quasi-periodic orbits around the Sun-Earth L1/L2 |
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