The fractal basins of convergence (BoC) linked with the equilibrium points are explored in the (N + 1)− body ring problem under the effect of small perturbations in the Coriolis and centrifugal forces when the bodies are sources of radiation. The evolution of the positions and the stability of the libration points and the possible regions of motion are determined as the function of mass parameter, the Coriolis, and centrifugal and radiation parameters. In addition, the parametric variation of the effect of the small perturbations in the Coriolis and centrifugal forces on the stability of the equilibrium points are also illustrated numerically. The multivariate version of the Newton–Raphson(NR) iterative method is used to analyze the effect of the radiation parameters and mass parameter on the topology of the BoC.

中文翻译：

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摄动（N + 1）-体环问题中与平衡点相关的收敛分形盆地的研究

在（N  +1）−中探索与平衡点相关的分形收敛盆地（BoC）当身体是辐射源时，在科里奥利的小扰动和离心力的作用下，会出现身体环问题。确定位置的演变，释放点的稳定性以及可能的运动区域，取决于质量参数，科里奥利以及离心和辐射参数。此外，还以数值方式说明了科里奥利小扰动和离心力对平衡点稳定性的影响的参数变化。牛顿-拉夫森（NR）迭代方法的多元版本用于分析辐射参数和质量参数对BoC拓扑的影响。