论文标题
在可变质量框架内对受限制的五体问题的分析
The analysis of restricted five-body problem within frame of variable mass
论文作者
论文摘要
在限制五个身体问题的框架中,在第五个体的非异位质量变化的效果下,探索和分析了库点的存在和稳定性(测试粒子或无穷小体)。这些点的位置的演变和可能的运动区域被说明是扰动参数的函数。我们进行系统的研究,以了解由于第五机构的可变质量而引起的扰动参数如何影响库点的位置,运动和稳定性。此外,我们已经揭示了与库点相关的收敛盆地域的域基本上受扰动参数的影响。
In the framework of restricted five bodies problem, the existence and stability of the libration points are explored and analysed numerically, under the effect of non--isotropic mass variation of the fifth body (test particle or infinitesimal body). The evolution of the positions of these points and the possible regions of motion are illustrated, as a function of the perturbation parameter. We perform a systematic investigation in an attempt to understand how the perturbation parameter due to variable mass of the fifth body, affects the positions, movement and stability of the libration points. In addition, we have revealed how the domain of the basins of convergence associated with the libration points are substantially influenced by the perturbation parameter.