Regions of Central Configurations in a Symmetric 4 + 1-Body Problem
The inverse problem of central configuration of the trapezoidal 5-body problems is investigated. In this 5-body setup, one of the masses is chosen to be stationary at the center of mass of the system and four-point masses are placed on the vertices of an isosceles trapezoid with two equal masses m1=...
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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/10.1155/2015/649352 |
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| author | Muhammad Shoaib |
| author_facet | Muhammad Shoaib |
| author_sort | Muhammad Shoaib |
| collection | DOAJ |
| description | The inverse problem of central configuration of the trapezoidal 5-body problems is investigated. In this 5-body setup, one of the masses is chosen to be stationary at the center of mass of the system and four-point masses are placed on the vertices of an isosceles trapezoid with two equal masses m1=m4 at positions ∓0.5, rB and m2=m3 at positions ∓α/2,rA. The regions of central configurations where it is possible to choose positive masses are derived both analytically and numerically. It is also shown that in the complement of these regions no central configurations are possible. |
| format | Article |
| id | doaj-art-0cdabbe9800d47619a4bfbffa6c11744 |
| 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-0cdabbe9800d47619a4bfbffa6c117442025-02-03T06:06:59ZengWileyAdvances in Astronomy1687-79691687-79772015-01-01201510.1155/2015/649352649352Regions of Central Configurations in a Symmetric 4 + 1-Body ProblemMuhammad Shoaib0Department of Mathematics, University of Ha’il, P.O. Box 2440, Ha’il 81451, Saudi ArabiaThe inverse problem of central configuration of the trapezoidal 5-body problems is investigated. In this 5-body setup, one of the masses is chosen to be stationary at the center of mass of the system and four-point masses are placed on the vertices of an isosceles trapezoid with two equal masses m1=m4 at positions ∓0.5, rB and m2=m3 at positions ∓α/2,rA. The regions of central configurations where it is possible to choose positive masses are derived both analytically and numerically. It is also shown that in the complement of these regions no central configurations are possible.http://dx.doi.org/10.1155/2015/649352 |
| spellingShingle | Muhammad Shoaib Regions of Central Configurations in a Symmetric 4 + 1-Body Problem Advances in Astronomy |
| title | Regions of Central Configurations in a Symmetric 4 + 1-Body Problem |
| title_full | Regions of Central Configurations in a Symmetric 4 + 1-Body Problem |
| title_fullStr | Regions of Central Configurations in a Symmetric 4 + 1-Body Problem |
| title_full_unstemmed | Regions of Central Configurations in a Symmetric 4 + 1-Body Problem |
| title_short | Regions of Central Configurations in a Symmetric 4 + 1-Body Problem |
| title_sort | regions of central configurations in a symmetric 4 1 body problem |
| url | http://dx.doi.org/10.1155/2015/649352 |
| work_keys_str_mv | AT muhammadshoaib regionsofcentralconfigurationsinasymmetric41bodyproblem |