Rotating gravitational lenses: a kinematic approach
This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer-Lindquist and Cartesian coordinates. As a special case, the Schwarzschild acceleration due to a non-rotating mass has a particularly simple and elegant form in Cartesian coordinates. Usi...
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| Veröffentlicht in: | arXiv.org 2014-09 |
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| creator | Walters, Steve bes, Larry |
| description | This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer-Lindquist and Cartesian coordinates. As a special case, the Schwarzschild acceleration due to a non-rotating mass has a particularly simple and elegant form in Cartesian coordinates. Using forward integration, these equations are used to plot the caustic pattern due to a system consisting of a rotating point mass with a smaller non-rotating planet. Additionally, first and second order approximations to the paths are identified, which allows for fast approximations of paths, deflection angles and travel-time delays. |
| doi_str_mv | 10.48550/arxiv.1409.3645 |
| format | Article |
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As a special case, the Schwarzschild acceleration due to a non-rotating mass has a particularly simple and elegant form in Cartesian coordinates. Using forward integration, these equations are used to plot the caustic pattern due to a system consisting of a rotating point mass with a smaller non-rotating planet. Additionally, first and second order approximations to the paths are identified, which allows for fast approximations of paths, deflection angles and travel-time delays.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1409.3645</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Acceleration ; Cartesian coordinates ; Gravitational lenses ; Mathematical analysis ; Physics - Astrophysics of Galaxies ; Planetary rotation ; Rotation ; Travel time</subject><ispartof>arXiv.org, 2014-09</ispartof><rights>2014. 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Additionally, first and second order approximations to the paths are identified, which allows for fast approximations of paths, deflection angles and travel-time delays.</description><subject>Acceleration</subject><subject>Cartesian coordinates</subject><subject>Gravitational lenses</subject><subject>Mathematical analysis</subject><subject>Physics - Astrophysics of Galaxies</subject><subject>Planetary rotation</subject><subject>Rotation</subject><subject>Travel time</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0FLw0AQhRdBsNTee5KA58Td2ZlN4k2KWqEglN7DZrNbU9Mk7qZF_72J9fSGx8fwPsaWgieYEfEH7b_rcyKQ54lUSFdsBlKKOEOAG7YI4cA5B5UCkZwxue0GPdTtPtp7fa6nu2t1EzW2DTY8Rjr6rFt7HGsT6b73nTYft-za6SbYxX_O2e7lebdax5v317fV0ybWJCjOs0qhREHSliV3WJFJMSdAV3FdOmdVygFzcMYJwVVKygmDBrACUYrMyTm7u7z9Eyp6Xx-1_ykmsWISG4H7CzDO-jrZMBSH7uTH9aEAnkGaE43UL5E_T5A</recordid><startdate>20140912</startdate><enddate>20140912</enddate><creator>Walters, Steve</creator><creator>bes, Larry</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20140912</creationdate><title>Rotating gravitational lenses: a kinematic approach</title><author>Walters, Steve ; bes, Larry</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a515-98d6434153ebb0f4d5c749524fd0abffe6702492fcf1106756f1c4c24d21b18f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Acceleration</topic><topic>Cartesian coordinates</topic><topic>Gravitational lenses</topic><topic>Mathematical analysis</topic><topic>Physics - Astrophysics of Galaxies</topic><topic>Planetary rotation</topic><topic>Rotation</topic><topic>Travel time</topic><toplevel>online_resources</toplevel><creatorcontrib>Walters, Steve</creatorcontrib><creatorcontrib>bes, Larry</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</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 China</collection><collection>Engineering collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Walters, Steve</au><au>bes, Larry</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rotating gravitational lenses: a kinematic approach</atitle><jtitle>arXiv.org</jtitle><date>2014-09-12</date><risdate>2014</risdate><eissn>2331-8422</eissn><abstract>This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer-Lindquist and Cartesian coordinates. 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| subjects | Acceleration Cartesian coordinates Gravitational lenses Mathematical analysis Physics - Astrophysics of Galaxies Planetary rotation Rotation Travel time |
| title | Rotating gravitational lenses: a kinematic approach |
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