On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sun-planet systems
In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the c...
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| Veröffentlicht in: | European physical journal plus 2015-03, Vol.130 (3), p.54, Article 54 |
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| creator | Abd El-Salam, F. A. Katour, D. A. Shaker, M. O. |
| description | In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the collinear point
L
1
is computed. Series forms of this location are obtained as new analytical results. In order to introduce a semi-analytical view, a mathematica code, using the Mathematica9 package software, is constructed so as to draw the location of collinear point
L
1
versus
the mass ratio
μ
∈ (0, 0.5), taking into account one or more of the considered perturbations. All the obtained figures are analyzed. Some specific systems of R3BP formed of the Sun as the massive primary and a planet as the less massive primary are studied. |
| doi_str_mv | 10.1140/epjp/i2015-15054-0 |
| format | Article |
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L
1
is computed. Series forms of this location are obtained as new analytical results. In order to introduce a semi-analytical view, a mathematica code, using the Mathematica9 package software, is constructed so as to draw the location of collinear point
L
1
versus
the mass ratio
μ
∈ (0, 0.5), taking into account one or more of the considered perturbations. All the obtained figures are analyzed. Some specific systems of R3BP formed of the Sun as the massive primary and a planet as the less massive primary are studied.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2015-15054-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Perturbation ; Physics ; Physics and Astronomy ; Regular Article ; Relativistic effects ; Shape effects ; Theoretical ; Three body problem</subject><ispartof>European physical journal plus, 2015-03, Vol.130 (3), p.54, Article 54</ispartof><rights>Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015</rights><rights>Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2340-30165f0066c0babe120bc0324098ac737acf9b3df9827cc6130988e7b5c214ed3</citedby><cites>FETCH-LOGICAL-c2340-30165f0066c0babe120bc0324098ac737acf9b3df9827cc6130988e7b5c214ed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2015-15054-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919731685?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,776,780,21367,27901,27902,33721,41464,42533,43781,51294</link.rule.ids></links><search><creatorcontrib>Abd El-Salam, F. A.</creatorcontrib><creatorcontrib>Katour, D. A.</creatorcontrib><creatorcontrib>Shaker, M. O.</creatorcontrib><title>On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sun-planet systems</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the collinear point
L
1
is computed. Series forms of this location are obtained as new analytical results. In order to introduce a semi-analytical view, a mathematica code, using the Mathematica9 package software, is constructed so as to draw the location of collinear point
L
1
versus
the mass ratio
μ
∈ (0, 0.5), taking into account one or more of the considered perturbations. All the obtained figures are analyzed. Some specific systems of R3BP formed of the Sun as the massive primary and a planet as the less massive primary are studied.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Perturbation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Relativistic effects</subject><subject>Shape effects</subject><subject>Theoretical</subject><subject>Three body problem</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9UMlqwzAQFaWFhjQ_0JOgZzejxduxDd0gkNLlLGRFThQcS5HklPx9nbjQnjoMvIG3wDyErgncEsJhqt3GTQ0FkiYkhZQncIZGlJSQpJzz8z_3JZqEsIF-eEl4yUeoW7Q4rjXWu840pvKm22JnTRvxnGAzcG5to115uTdRRmNb2WBbNTJq7HUPZm9CNAq_sftX_GXiGkvnGqNOWtzve9cmrpGtjjgcQtTbcIUuatkEPfnBMfp8fPiYPSfzxdPL7G6eKMo4JAxIltYAWaagkpUmFCoFjHIoC6lylktVlxVb1mVBc6Uywnqi0HmVKkq4XrIxuhlynbe7TocoNrbz_QNB0JKUOSNZkfYqOqiUtyF4XQvnzVb6gyAgjg2LY8Pi1LA4NSygN7HBFHpxu9L-N_of1zfKRYFE</recordid><startdate>20150301</startdate><enddate>20150301</enddate><creator>Abd El-Salam, F. 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A.</au><au>Katour, D. A.</au><au>Shaker, M. O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sun-planet systems</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2015-03-01</date><risdate>2015</risdate><volume>130</volume><issue>3</issue><spage>54</spage><pages>54-</pages><artnum>54</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the collinear point
L
1
is computed. Series forms of this location are obtained as new analytical results. In order to introduce a semi-analytical view, a mathematica code, using the Mathematica9 package software, is constructed so as to draw the location of collinear point
L
1
versus
the mass ratio
μ
∈ (0, 0.5), taking into account one or more of the considered perturbations. All the obtained figures are analyzed. Some specific systems of R3BP formed of the Sun as the massive primary and a planet as the less massive primary are studied.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/i2015-15054-0</doi></addata></record> |
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| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Mathematical and Computational Physics Molecular Optical and Plasma Physics Perturbation Physics Physics and Astronomy Regular Article Relativistic effects Shape effects Theoretical Three body problem |
| title | On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sun-planet systems |
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