A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance
Class.Quant.Grav. 23 (2006) 673-682 A Hamiltonian that approaches the study of the three-body problem in general relativity is obtained. We use it to study the relativistic version of the circular restricted three-body problem in which the first body is the heaviest and the third body is a test-part...
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| creator | Gueron, Eduardo |
| description | Class.Quant.Grav. 23 (2006) 673-682 A Hamiltonian that approaches the study of the three-body problem in general
relativity is obtained. We use it to study the relativistic version of the
circular restricted three-body problem in which the first body is the heaviest
and the third body is a test-particle. We focus on the orbits around the 3:2
resonance. We show that, in spite of the notable difference between the
relativistic and Newtonian orbits, most of the resonant region is preserved.
Nevertheless, differently from the Newtonian case, the frequencies between the
second and the third body are no longer commensurable. |
| doi_str_mv | 10.48550/arxiv.astro-ph/0502282 |
| format | Article |
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relativity is obtained. We use it to study the relativistic version of the
circular restricted three-body problem in which the first body is the heaviest
and the third body is a test-particle. We focus on the orbits around the 3:2
resonance. We show that, in spite of the notable difference between the
relativistic and Newtonian orbits, most of the resonant region is preserved.
Nevertheless, differently from the Newtonian case, the frequencies between the
second and the third body are no longer commensurable.</description><identifier>DOI: 10.48550/arxiv.astro-ph/0502282</identifier><language>eng</language><subject>Physics - Astrophysics of Galaxies ; Physics - Cosmology and Nongalactic Astrophysics ; Physics - Earth and Planetary Astrophysics ; Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Astrophysical Phenomena ; Physics - Instrumentation and Methods for Astrophysics ; Physics - Solar and Stellar Astrophysics</subject><creationdate>2005-02</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/astro-ph/0502282$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1088/0264-9381/23/3/008$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.astro-ph/0502282$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gueron, Eduardo</creatorcontrib><title>A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance</title><description>Class.Quant.Grav. 23 (2006) 673-682 A Hamiltonian that approaches the study of the three-body problem in general
relativity is obtained. We use it to study the relativistic version of the
circular restricted three-body problem in which the first body is the heaviest
and the third body is a test-particle. We focus on the orbits around the 3:2
resonance. We show that, in spite of the notable difference between the
relativistic and Newtonian orbits, most of the resonant region is preserved.
Nevertheless, differently from the Newtonian case, the frequencies between the
second and the third body are no longer commensurable.</description><subject>Physics - Astrophysics of Galaxies</subject><subject>Physics - Cosmology and Nongalactic Astrophysics</subject><subject>Physics - Earth and Planetary Astrophysics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Physics - High Energy Astrophysical Phenomena</subject><subject>Physics - Instrumentation and Methods for Astrophysics</subject><subject>Physics - Solar and Stellar Astrophysics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjksKwjAQQLNxIeoZnI3LfmwtFHciigdwX8Z0pIE0CdO0tBvPbiw9gKsZhjePJ8T-mMansijSBHlUQ4ydZxu5JkmLNMvKbC0-F-ioVRGTRq8G1XklAZ1ji7IBb8E3BFKx7DUyMAWBkp7qcGcieNl6ggC_NLWApgYE07cUGNRAowtbS8YDsu1NPcvyc_bzWING0las3qg72i1zIw732_P6iObeyoV35KmauyvXVEt3_i_3BbBCVo4</recordid><startdate>20050214</startdate><enddate>20050214</enddate><creator>Gueron, Eduardo</creator><scope>GOX</scope></search><sort><creationdate>20050214</creationdate><title>A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance</title><author>Gueron, Eduardo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_astro_ph_05022823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Physics - Astrophysics of Galaxies</topic><topic>Physics - Cosmology and Nongalactic Astrophysics</topic><topic>Physics - Earth and Planetary Astrophysics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Physics - High Energy Astrophysical Phenomena</topic><topic>Physics - Instrumentation and Methods for Astrophysics</topic><topic>Physics - Solar and Stellar Astrophysics</topic><toplevel>online_resources</toplevel><creatorcontrib>Gueron, Eduardo</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gueron, Eduardo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance</atitle><date>2005-02-14</date><risdate>2005</risdate><abstract>Class.Quant.Grav. 23 (2006) 673-682 A Hamiltonian that approaches the study of the three-body problem in general
relativity is obtained. We use it to study the relativistic version of the
circular restricted three-body problem in which the first body is the heaviest
and the third body is a test-particle. We focus on the orbits around the 3:2
resonance. We show that, in spite of the notable difference between the
relativistic and Newtonian orbits, most of the resonant region is preserved.
Nevertheless, differently from the Newtonian case, the frequencies between the
second and the third body are no longer commensurable.</abstract><doi>10.48550/arxiv.astro-ph/0502282</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Astrophysics of Galaxies Physics - Cosmology and Nongalactic Astrophysics Physics - Earth and Planetary Astrophysics Physics - General Relativity and Quantum Cosmology Physics - High Energy Astrophysical Phenomena Physics - Instrumentation and Methods for Astrophysics Physics - Solar and Stellar Astrophysics |
| title | A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance |
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