Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejectio...
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| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2022-08, Vol.111, p.106410, Article 106410 |
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| creator | Ollé, M. Rodríguez, Ó. Soler, J. |
| description | In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.
•McGehee’s regularization in the 3D RTBP.•Parameterization method.•Numerical computation of ejection/collision orbits.•Families of ejection-collision orbits. |
| doi_str_mv | 10.1016/j.cnsns.2022.106410 |
| format | Article |
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•McGehee’s regularization in the 3D RTBP.•Parameterization method.•Numerical computation of ejection/collision orbits.•Families of ejection-collision orbits.</description><subject>Dynamical systems</subject><subject>Ejection</subject><subject>Ejection-collision orbits</subject><subject>Initial conditions</subject><subject>McGehee’s regularization</subject><subject>Orbits</subject><subject>Parameterization</subject><subject>Parameterization method</subject><subject>Particle physics</subject><subject>Regularization</subject><subject>Regularization methods</subject><subject>Three body problem</subject><issn>1007-5704</issn><issn>1878-7274</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kD9PwzAQxS0EEqXwCVgsMaf1n8R2BgZAUJCKQNCNwXJsp3UU4mInSOXT4zbMTPfu9N7d6QfAJUYzjDCbNzPdxS7OCCIkTViO0RGYYMFFxgnPj5NGiGcFR_kpOIuxQSlVFvkEfLz3g9lBX8N-Y6FtrO6d7-bat62LSUEfKtdH6LqDIW5V71QL31a3r3CIrlsfxs96YTfWwmDXQ6uC-1H7LefgpFZttBd_dQpWD_eru8ds-bJ4urtZZppy1meV4JobWhNmasaYTq1SOa1RWfPS8KLgoqJC50IYiklpNOLYKFMpRDUpEJ2Cq3HtNvivwcZeNn4IXbooCeOMoQJTkVx0dOngYwy2ltvgPlXYSYzkHqJs5AGi3EOUI8SUuh5TNv3_7WyQUTvbaWtcSKik8e7f_C_xvHvg</recordid><startdate>202208</startdate><enddate>202208</enddate><creator>Ollé, M.</creator><creator>Rodríguez, Ó.</creator><creator>Soler, J.</creator><general>Elsevier B.V</general><general>Elsevier Science Ltd</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-8050-9055</orcidid><orcidid>https://orcid.org/0000-0002-6220-5170</orcidid><orcidid>https://orcid.org/0000-0002-4545-5135</orcidid></search><sort><creationdate>202208</creationdate><title>Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization</title><author>Ollé, M. ; Rodríguez, Ó. ; Soler, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c376t-b87c7d3f26df666c87caa43f09f79d75578b38c488d3129dc071dadba03c2503</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Dynamical systems</topic><topic>Ejection</topic><topic>Ejection-collision orbits</topic><topic>Initial conditions</topic><topic>McGehee’s regularization</topic><topic>Orbits</topic><topic>Parameterization</topic><topic>Parameterization method</topic><topic>Particle physics</topic><topic>Regularization</topic><topic>Regularization methods</topic><topic>Three body problem</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ollé, M.</creatorcontrib><creatorcontrib>Rodríguez, Ó.</creatorcontrib><creatorcontrib>Soler, J.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><jtitle>Communications in nonlinear science & numerical simulation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ollé, M.</au><au>Rodríguez, Ó.</au><au>Soler, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization</atitle><jtitle>Communications in nonlinear science & numerical simulation</jtitle><date>2022-08</date><risdate>2022</risdate><volume>111</volume><spage>106410</spage><pages>106410-</pages><artnum>106410</artnum><issn>1007-5704</issn><eissn>1878-7274</eissn><abstract>In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.
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| source | Elsevier ScienceDirect Journals |
| subjects | Dynamical systems Ejection Ejection-collision orbits Initial conditions McGehee’s regularization Orbits Parameterization Parameterization method Particle physics Regularization Regularization methods Three body problem |
| title | Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization |
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