Computation of weak stability boundaries: Sun–Jupiter system
Computation of weak stability boundaries: Sun–Jupiter system
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DOI：
10.1007/s10569-009-9222-5
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发表时间：
2009-08
影响因子：
1.6
通讯作者：
F. Topputo;E. Belbruno
中科院分区：
文献类型：
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作者：
F. Topputo;E. Belbruno
我们从算法定义出发，计算平面圆形限制性三体问题的弱稳定边界，并由García和Gómez推广。此外，我们考虑了一组新的原色，太阳-木星，以取代以前的研究中考虑的地球-月球的情况。数值增强描述和以前的方法相比。这包括定义极坐标系中的运动方程和用于推导稳定集及其边界的修改的数值方案。这些改进减少了计算时间。通过考虑太阳-木星的情况下，我们比较地球-月球的情况下，得到了新的结果。
We compute the weak stability boundary in the planar circular restricted three-body problem starting from the algorithmic definition, and its generalization by García and Gómez. In addition, we consider a new set of primaries, Sun–Jupiter, to replace the case of Earth–Moon considered in previous studies. Numerical enhancements are described and compared to previous methods. This includes defining the equations of motion in polar coordinates and a modified numerical scheme for the derivation of both stable sets and their boundaries. These enhancements decrease the computational time. New results are obtained by considering the Sun–Jupiter case which we compare to the Earth–Moon case.