Collinear Equilibrium Solutions of Four-body Problem

Journal of astrophysics and astronomy

Muhammad Shoaib1¹  Ibrahima Faye² 

[1] Department of Mathematical Sciences, University of Ha’il, PO Box 2440, Ha’il, Saudi Arabia.$$;Fundamental and Applied Sciences Department, Universiti Teknologi Petronas, Tronoh Perak, Malaysia.$$

关键词: Equilibrium solutions;    celestial mechanics;    four-body problem;    few-body problem.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown