Choreographic solution to the general-relativistic three-body problem.
Choreographic solution to the general-relativistic three-body problem.
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DOI：
10.1103/physrevlett.98.201102
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发表时间：
2007-02
影响因子：
8.6
通讯作者：
T. Imai;T. Chiba;H. Asada
中科院分区：
文献类型：
--
作者：
T. Imai;T. Chiba;H. Asada
我们在广义相对论的框架下重新审视三体问题。牛顿n体问题有编排的解，如果每个大质量粒子周期性地在一个封闭轨道上运动，这种解就被称为编排。一种是三体系统的稳定的8字形轨道，它首先由摩尔（1993）发现，并由Chenciner和Montgomery（2000）证明其存在性后重新发现。然而，在广义相对论中，星周位移阻止双星系统在一条封闭曲线上运行。因此，目前尚不清楚广义相对论效应是否承认数字8这样的编排。我们检查了初始条件的广义相对论修正，以便三体系统的轨道可以是舞蹈和数字8。这个例子表明，广义相对论的n体问题也可能承认一类编排的解决方案。
We reexamine the three-body problem in the framework of general relativity. The Newtonian N-body problem admits choreographic solutions, where a solution is called choreographic if every massive particle moves periodically in a single closed orbit. One is a stable figure-eight orbit for a three-body system, which was found first by Moore (1993) and rediscovered with its existence proof by Chenciner and Montgomery (2000). In general relativity, however, the periastron shift prohibits a binary system from orbiting in a single closed curve. Therefore, it is unclear whether general-relativistic effects admit choreography such as the figure eight. We examine general-relativistic corrections to initial conditions so that an orbit for a three-body system can be choreographic and a figure eight. This illustration suggests that the general-relativistic N-body problem also may admit a certain class of choreographic solutions.