Collinear Equilibrium Solutions of Four-body Problem

Details Collinear Equilibrium Solutions of Four-body Problem Collinear Equilibrium Solutions of Four-body Problem

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011japa...32..411s&link_type=abstract

Journal of Astrophysics and Astronomy, Volume 32, Issue 3, pp.411-423

Astronomy and Astrophysics

Astrophysics

Equilibrium Solutions—Celestial Mechanics—Four-Body Problem—Few-Body Problem

Scientific paper

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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