On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary
We consider a version of the relativistic restricted three-body problem (R3BP) which includes the effects of oblateness of the secondary and radiation of the primary. We determine the positions and analyze the stability of the triangular points. We find that these positions are affected by relativis...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2015/489120 |
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| author | Nakone Bello Jagadish Singh |
| author_facet | Nakone Bello Jagadish Singh |
| author_sort | Nakone Bello |
| collection | DOAJ |
| description | We consider a version of the relativistic restricted three-body problem (R3BP) which includes the effects of oblateness of the secondary and radiation of the primary. We determine the positions and analyze the stability of the triangular points. We find that these positions are affected by relativistic, oblateness, and radiation factors. It is also seen that both oblateness of the secondary and radiation of the primary reduce the size of stability region. Further, a numerical exploration computing the positions of the triangular points and the critical mass ratio of some binaries systems consisting of the Sun and its planets is given in the tables. |
| format | Article |
| id | doaj-art-e481b2b3c6d3493ea34c1ed062d1cf25 |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-e481b2b3c6d3493ea34c1ed062d1cf252025-02-03T01:02:33ZengWileyAdvances in Astronomy1687-79691687-79772015-01-01201510.1155/2015/489120489120On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating PrimaryNakone Bello0Jagadish Singh1Department of Mathematics, Faculty of Science, Usmanu Danfodiyo University, PMB 2346, Sokoto, NigeriaDepartment of Mathematics, Faculty of Science, Ahmadu Bello University, PMB 1044, Zaria, Kaduna State, NigeriaWe consider a version of the relativistic restricted three-body problem (R3BP) which includes the effects of oblateness of the secondary and radiation of the primary. We determine the positions and analyze the stability of the triangular points. We find that these positions are affected by relativistic, oblateness, and radiation factors. It is also seen that both oblateness of the secondary and radiation of the primary reduce the size of stability region. Further, a numerical exploration computing the positions of the triangular points and the critical mass ratio of some binaries systems consisting of the Sun and its planets is given in the tables.http://dx.doi.org/10.1155/2015/489120 |
| spellingShingle | Nakone Bello Jagadish Singh On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary Advances in Astronomy |
| title | On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary |
| title_full | On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary |
| title_fullStr | On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary |
| title_full_unstemmed | On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary |
| title_short | On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary |
| title_sort | on the stability of l4 5 in the relativistic r3bp with oblate secondary and radiating primary |
| url | http://dx.doi.org/10.1155/2015/489120 |
| work_keys_str_mv | AT nakonebello onthestabilityofl45intherelativisticr3bpwithoblatesecondaryandradiatingprimary AT jagadishsingh onthestabilityofl45intherelativisticr3bpwithoblatesecondaryandradiatingprimary |