论文标题
正方形配置的受限六体问题中不可预测的盆地边界
Unpredictable basin boundaries in restricted six-body problem with square configuration
论文作者
论文摘要
目前的工作涉及最近引入的六个带有方形配置的六个身体问题。确定质量参数的库总数为十二和二十，$ 0 <μ<0.25 $。牛顿 - 拉夫森方案的多元形式用于讨论吸引力的盆地。研究和详细研究了吸引吸引盆地的不同方面。沿边界发现了不同盆地的复杂组合。盆地熵的概念用于揭示边界的性质。对于$μ= 0.22 $和$ 0.23 $，吸引力的盆地在整个过程中都是无法预测的。可以观察到，对于质量参数$μ$的所有值，盆地边界是高度可预测的。此外，我们研究了吸引盆地中WADA盆地边界的存在。
The present work deals with the recently introduced restricted six body-problem with square configuration. It is determined that the total number of libration points are twelve and twenty for the mass parameter $0< μ< 0.25$. The multivariate form of Newton-Raphson scheme is used to discuss the basin of attraction. Different aspects of the basin of attraction are investigated and explained in detail. The complex combination of the different basins is found along the boundaries. The concept of basin entropy is used to unveil the nature of the boundaries. For $μ= 0.22$ and $0.23$, the basin of attraction is unpredictable throughout. It is observed that for all values of the mass parameter $μ$, the basin boundaries are highly unpredictable. Further, We have investigated the presence of Wada basin boundary in the basin of attraction.
