Non-collinear libration points in ER3BP with albedo effect and oblateness

Journal of Astrophysics and Astronomy

M. JAVED IDRISI^1¹  M. SHAHBAZ ULLAH^2² 

[1] College of Natural and Computational Science, Department of Mathematics, Mizan-Tepi University, Tepi, Ethiopia^1;Department of Mathematics, T. M. Bhagalpur University, Bhagalpur, Bihar 812 007, India^2

关键词: Elliptic restricted three-body problem;    radiation pressure;    albedo effect;    libration points;    stability.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we establish a relation between direct radiations (generally called radiation factor) and reflected radiations (albedo) to show their effects on the existence and stability of non-collinear libration points in the elliptic restricted three-body problem taking into account the oblateness of smaller primary. It isdiscussed briefly when $\alpha = 0$ and $\sigma = 0$, the non-collinear libration points form an isosceles triangle with the primaries and as e increases the libration points $L_{4,5}$ move vertically downward ($\alpha$, $\sigma$ and $e$represents the radiation factor, oblateness factor and eccentricity of the primaries respectively). If $\alpha = 0$ but $\sigma \neq 0$, the libration points slightly displaced to the right-side from its previous location and form scalene triangle with the primaries and go vertically downward as $e$ increases. If $\alpha \neq 0$ and $\sigma\neq 0$, the libration points $L_{4,5}$ form scalene triangle with the primaries and as e increases $L_{4,5}$ move downward and displaced to the left-side. Also, the libration points $L_{4,5}$ are stable for the critical mass parameter $\mu \leq \mu_c$.

【 授权许可】

CC BY