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The perturbed restricted three-body problem with angular velocity: Analysis of basins of convergence linked to the libration points
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2020-04-24 , DOI: 10.1016/j.ijnonlinmec.2020.103494
Md Sanam Suraj , Rajiv Aggarwal , Amit Mittal , Md Chand Asique

The analysis of the affect of angular velocity on the geometry of the basins of convergence (BoC) linked to the equilibrium points in the restricted three-body problem is illustrated when the primaries are source of radiation. The bivariate scheme of the Newton–Raphson (N–R) iterative method has been used to discuss the topology of the basins of convergence. The parametric evolution of the fractality of the convergence plane is also presented where the degree of fractality is illustrated by evaluating the basin entropy of the convergence plane.



中文翻译:

具有角速度的摄动受限三体问题:与解放点相关的收敛盆地分析

当原色是辐射源时,说明了角速度对与受限三体问题中的平衡点相关的会聚盆地(BoC)几何形状的影响的分析。牛顿-拉夫逊(N-R)迭代方法的双变量方案已用于讨论收敛盆地的拓扑。还介绍了收敛平面分形的参数演化,其中通过评估收敛平面的盆地熵来说明分形的程度。

更新日期:2020-04-24
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