This paper studies the motion of a third body near the family of the out-of-plane equilibrium points, , in the elliptic restricted problem of three bodies under an oblate primary and a radiating-triaxial secondary. It is seen that the pair of points () which correspond to the positions of the family of the out-of-plane equilibrium points, , are affected by the oblateness of the primary, radiation pressure and triaxiality of the secondary, semimajor axis, and eccentricity of the orbits of the principal bodies. But the point is unaffected by the semimajor axis and eccentricity of the orbits of the principal bodies. The effects of the parameters involved in this problem are shown on the topologies of the zero-velocity curves for the binary systems PSR 1903+0327 and DP-Leonis. An investigation of the stability of the out-of-plane equilibrium points, numerically, shows that they can be stable for and for very low eccentricity. of PSR 1903+0327 and DP-Leonis are however linearly unstable.

中文翻译：

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椭圆约束三体问题框架中的广义平面外平衡点：扁圆形初级和发光三轴次级的影响

本文研究的第三主体的靠近运动家庭外的平面中的平衡点的，，在下一个扁圆初级和辐射-三轴二次三个机构的椭圆受限问题。可以看到一对点（），它们对应于平面外平衡点族的位置，受主扁率，辐射压力和副半长轴的三轴性以及主体轨道的偏心率的影响。但该点不受主体主轴的半长轴和偏心距的影响。在二进制系统PSR 1903 + 0327和DP-Leonis的零速度曲线的拓扑上显示了此问题涉及的参数的影响。对平面外平衡点的稳定性进行数值研究表明，它们对于并且偏心率非常低。但是，PSR 1903 + 0327和DP-Leonis的线性不稳定。