The present investigation considers the effect of small perturbations given in the Coriolis and centrifugal forces on the location and stability of the equilibrium points in the Robe’s circular restricted three-body problem with non-spherical primary bodies. The felicitous equations of motion of \(m_3\) are obtained by taking into account the shapes of primaries \(m_1\) and \(m_2\), the full buoyancy force of the fluid which is filled inside \(m_1\) of density \(\rho _1\), the forces due to the gravitational attraction of the fluid and \(m_2\). We assume that the massive body \(m_1\) is an oblate spheroid and the \(m_2\) a finite straight segment, and they move under a mutual gravitational attraction described by the Newton’s universal law of gravitation. In the present problem, \(m_3\) is moving in the fluid and the rotating reference frame is used, its motion is bound to be affected by the perturbed Coriolis and centrifugal forces. In this attempt these effects along with the effects caused by the oblateness and length parameters A and l respectively, on the location and stability of the equilibrium points are observed. A pair of collinear equilibrium points \(L_1\) and \(L_2\) and infinite number of non-collinear equilibrium points are obtained. The stability of all the equilibrium points depends on the coefficients of their corresponding characteristic polynomials that are obtained with the help of linear variational equations.

本研究考虑了科里奥利扰动和离心力对非球面原边的长袍圆形受限三体问题中平衡点的位置和稳定性的影响。通过考虑初生\（m_1 \）和\（m_2 \）的形状，可以得到\（m_3 \）的运动方程，即填充在\（m_1 \）内部的流体的全部浮力。密度\（\ rho _1 \），是由于流体和\（m_2 \）的重力吸引而产生的力。我们假设大块体\（m_1 \）是扁球形，而\（m_2 \）有限的直线段，它们在牛顿万有引力定律描述的相互引力吸引下运动。在当前问题中，\（m_3 \）在流体中移动，并且使用了旋转参考系，其运动必然会受到摄氏科里奥利力和离心力的影响。在该尝试中，观察到这些影响以及分别由扁度和长度参数A和l引起的对平衡点的位置和稳定性的影响。一对共线平衡点\（L_1 \）和\（L_2 \）得到无限数量的非共线平衡点。所有平衡点的稳定性取决于借助线性变分方程获得的其相应特征多项式的系数。