Collinear Equilibrium Solutions of Four-body Problem

We discuss the equilibrium solutions of four different types of collinear four-body problems having two pairs of equal masses. Two of these four-body models are symmetric about the center-of-mass while the other two are non-symmetric.We define two mass ratios as μ1 = m1/MT and μ2 = m2/MT, where m1...

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Bibliographic Details
Main Authors: Shoaib, Muhammad, Faye, Ibrahima
Format: Citation Index Journal
Published: 2011
Subjects:
Online Access:http://eprints.utp.edu.my/7280/1/ISI-ColEq4BP-11.pdf
http://eprints.utp.edu.my/7280/
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Summary:We discuss the equilibrium solutions of four different types of collinear four-body problems having two pairs of equal masses. Two of these four-body models are symmetric about the center-of-mass while the other two are non-symmetric.We define two mass ratios as μ1 = m1/MT and μ2 = m2/MT, where m1 and m2 are the two unequal masses and MT is the total mass of the system. We discuss the existence of continuous family of equilibrium solutions for all the four types of four-body problems.