The aim of this research is to show the significant effects of albedo on the existence of out-of-plane equilibria in the elliptic restricted three-body problem under an oblate primary model. We computed out-of-plane equilibria numerically and graphically for different values of the parameters μ, α, e, k and σ where μ, α, e, k and σ are mass parameter, albedo factor, eccentricity, ratio of the luminosity of smaller primary to luminosity of bigger primary considered as constant and oblateness factor due to smaller primary, respectively. Further, we examined the stability of out-of-plane equilibria and found that these equilibria are unstable in linear sense for all parameters μ, α, e, k and σ. Finally, the three-dimensional periodic orbits are analyzed for different values of albedo factor α and oblateness factor σ.

本研究的目的是展示反照率对扁圆主模型下椭圆受限三体问题中面外平衡存在的显着影响。我们用数值和图形计算了参数μ、α、e、k和σ 的不同值的平面外平衡，其中μ、α、e、k和σ是质量参数、反照率因子、偏心率、光度比由于较小的初级，较小的初级对较大初级的光度分别被认为是常数和扁率因子。此外，我们检查了面外平衡的稳定性，发现这些平衡对于所有参数μ、α、e、k和σ在线性意义上都是不稳定的. 最后，针对反照率因子α和扁率因子σ 的不同值，分析了三维周期轨道。