Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses
Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses
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DOI：
10.1103/physrevd.91.124016
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发表时间：
2015-05
影响因子：
5
通讯作者：
Kei Yamada;T. Tsuchiya;H. Asada
中科院分区：
文献类型：
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作者：
Kei Yamada;T. Tsuchiya;H. Asada
在早期出版物中开始的继续工作[T. Ichita等人，D 83，084026（2011）; K. Yamada和H. Asada，Phys.Rev.D86，124029（2012）]，我们研究了后牛顿（PN）对一般质量的相对论性三体问题中三角形解的稳定性的影响。对于三个有限质量，三角形解的稳定性条件得到的第一后牛顿（1 PN）的顺序，它恢复以前的结果PN限制三体问题时，一个质量趋于零。即使在1 PN阶下，稳定区域仍然存在，尽管对于一般质量的PN三角形构型不如PN限制的三体情形以及牛顿情形稳定。
Continuing work initiated in earlier publications [T. Ichita et al., Phys. Rev. D 83, 084026 (2011); K. Yamada and H. Asada, Phys. Rev. D 86, 124029 (2012)], we examine the post-Newtonian (PN) effects on the stability of the triangular solution in the relativistic three-body problem for general masses. For three finite masses, a condition for stability of the triangular solution is obtained at the first post-Newtonian (1PN) order, and it recovers previous results for the PN restricted three-body problem when one mass goes to zero. The stability regions still exist even at the 1PN order, though the PN triangular configuration for general masses is less stable than the PN restricted three-body case as well as the Newtonian one.