Collinear Equilibrium Solutions of Four-body Problem |
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Authors: | Muhammad Shoaib Ibrahima Faye |
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Institution: | (1) School of Mathematics and Statistics, Napier University, 219, Colinton Road, Edinburgh, EH14 1DJ, Scotland |
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Abstract: | 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 μ
1 = m
1/M
T and μ
2 = m
2/M
T, where m
1 and m
2 are the two unequal masses and M
T 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. |
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Keywords: | |
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