黑洞双星系统的拉格朗日平衡点L_4和L_5
The Lagrange Equilibrium Points L_4 and L_5 in a Black Hole Binary System
摘要：
本文计算了当双星系统由于引力辐射损失而演化时，圆形限制性三体问题中L_4和L_5拉格朗日平衡点的位置和稳定性。相对于纯牛顿情形，我们发现L_4平衡点移向次级质量，稳定性稍差，而L_5平衡点移离次级质量，稳定性增强。我们讨论了一些天体物理应用这些结果，特别是作为一种机制，产生电磁对应的引力波信号。
英文摘要：
We calculate the location and stability of the L_4 and L_5 Lagrange equilibrium points in the circular restricted three-body problem as the binary system evolves via gravitational radiation losses. Relative to the purely Newtonian case, we find that the L_4 equilibrium point moves towards the secondary mass and becomes slightly less stable, while the L_5 point moves away from the secondary and gains in stability. We discuss a number of astrophysical applications of these results, in particular as a mechanism for producing electromagnetic counterparts to gravitational-wave signals.
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