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Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses
Joint Authors
Shoaib, M.
Sivasankaran, Anoop
Kashif, Abdul Rehman
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study central configuration of a set of symmetric planar five-body problems where ( 1 ) the five masses are arranged in such a way that m 1 , m 2 , and m 4 are collinear and m 2 , m 3 , and m 5 are collinear; the two sets of collinear masses form a triangle with m 2 at the intersection of the two sets of collinear masses; ( 2 ) four of the bodies are on the vertices of an isosceles trapezoid and the fifth body can take various positions on the axis of symmetry both outside and inside the trapezoid.
We form expressions for mass ratios and identify regions in the phase space where it is possible to choose positive masses which will make the configuration central.
We also show that the triangular configuration is not possible.
American Psychological Association (APA)
Shoaib, M.& Kashif, Abdul Rehman& Sivasankaran, Anoop. 2016. Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses. Advances in Astronomy،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1079410
Modern Language Association (MLA)
Shoaib, M.…[et al.]. Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses. Advances in Astronomy No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1079410
American Medical Association (AMA)
Shoaib, M.& Kashif, Abdul Rehman& Sivasankaran, Anoop. Planar Central Configurations of Symmetric Five-Body Problems with Two Pairs of Equal Masses. Advances in Astronomy. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1079410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1079410