Abstract 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.

中文翻译：

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三轴初选椭圆限制三体问题共线拉格朗日点的扰动位置和线性稳定性

摘要 本文旨在研究三轴度和扁度作为初选特例对椭圆受限三体问题（简称ERTBP）共线平衡点位置和稳定性的影响。扰动共线平衡点的位置首先根据问题的质量比（最小质量除以系统的总质量）和不同的相关扰动因素来确定。在圆形受限三体问题的经典情况下，共线点的位置与扰动情况下的共线点位置之间的差异用其范围内的质量比表示。讨论了共线点的线性稳定性。