This paper examines motion around equilibrium points (EPs) of an oblate body having a third body in the PR3BP with the disc. The problem is photogravitational, such that the third body gravitates under the influence of two primaries, which emit radiation pressure and the Poynting–Robertson (P–R) drag. Further, the primaries are enclosed by a disc. The mathematical analysis (equations of motion) and the locations of EPs have been studied. There exist six collinear EPs in the line joining the primaries. The first is an additional EP, which depends on parameters, \(\mu\) and \(W_{i} \,(i = 1,2)\) of the primaries, while the three are analogous to the collinear EPs of the classical R3BP. The last two are the Jiang–Yeh EPs, which exist due to the mass parameter and the disc. Further, two triangular EPs are found and are characterized by the disc, oblateness of the third body, radiation pressure, P–R drag and mass parameters of the primaries. The stability of the EPs is examined, and it is that they are unbounded due to either a positive root or a positive real part of the complex root. In particular, the numerical exploration is being performed using the binary Achird to compute numerically the locations/or positions of the EPs and the roots of their corresponding characteristic equations. In the case of the collinear point, the roots contain a positive real root and a complex root with positive real part. In view of the triangular points, the roots contain positive real parts of the complex roots. Hence, we conclude that for the R3BP when the primaries emit radiation pressure and P–R drag with disc and the third body is in shape of a sphere, eight EPs exist and are unstable due to radiational forces which reveal positive real part of the complex root.

本文研究了PR3BP中具有圆盘的第三体的扁圆体的平衡点（EPs）周围的运动。问题是光引力，第三个物体在两个原色的影响下被引力吸引，这两个原色发出辐射压力并且受到Poynting-Robertson（P-R）的拖曳。此外，原色被光盘包围。对EP的数学分析（运动方程式）和位置进行了研究。连接原色的线中存在六个共线EP。第一个是附加的EP，取决于参数\（\ mu \）和\（W_ {i} \，（i = 1,2）\）其中的三个与经典R3BP的共线EP相似。最后两个是江叶EP，由于质量参数和圆盘而存在。此外，发现了两个三角形的EP，其特征是圆盘，第三体的扁度，辐射压力，PR阻力和原色的质量参数。检查了EP的稳定性，这是由于EP根的正根或复数根的正实部，它们是不受限制的。特别是，正在使用二进制Achird进行数值探索，以数字方式计算EP的位置/或位置及其相应特征方程的根。在共线点的情况下，根包含正实根和具有正实部的复数根。鉴于三角点，根包含复数根的正实部。因此，我们得出的结论是，对于R3BP，当原色发射辐射压力且P–R拖曳着圆盘并且第三物体呈球形时，存在8个EP，并且由于辐射力而不稳定，这揭示了复合物的正实部根。