Perturbed locations and linear stability of collinear Lagrangian points in the elliptic restricted three body problem with triaxial primaries

Baltic astronomy

article

Walid Ali Rahoma¹  Akram Masoud¹  Fawzy Ahmed Abd El-Salam²  Elamira Hend Khattab¹ 

[1] Department of Astronomy, Faculty of Science, Cairo University;Department of Mathematics, Faculty of Science, Taibah University

关键词: ERTBP;    Collinear pionts;    Oblateness;    Triaxiality;    Stability;   

DOI  :  10.1515/astro-2019-0013

来源: Institute of Theoretical Physics and Astronomy

【 摘 要 】

This paper aims to study the effect of the triaxiality and the oblateness as a special case of primaries on the locations and stability of the collinear equilibrium points of the elliptic restricted three body problem (in brief ERTBP). The locations of the perturbed collinear equilibrium points are first determined in terms of mass ratio of the problem (the smallest mass divided by the total mass of the system) and different concerned perturbing factors. The difference between the locations of collinear points in the classical case of circular restricted three body problem and those in the perturbed case is represented versus mass ratio over its range. The linear stability of the collinear points is discussed. It is observed that the stability regions for our model depend mainly on the eccentricity of the orbits in addition to the considered perturbations.

【 授权许可】

Unknown