自旋黑洞II的同宿轨道：相空间像
Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait
摘要：
在本系列的第一篇论文中，我们找到了赤道同宿轨道的精确表达式：束缚与倾伏、旋转与不旋转之间的分界线。作为物理空间研究的一个同伴，在本文中，我们画了一个相空间的同宿轨道，其中包括行动和基频的精确表达式的肖像。此外，我们开发了一个简化的哈密顿描述克尔运动，使我们能够跟踪组的轨迹与一个单一的全球时钟。这有利于变分分析，其稳定性指数和特征向量可能是有用的，为未来的研究家庭的黑洞轨道和相关的引力波形。
英文摘要：
In paper I in this series, we found exact expressions for the equatorial homoclinic orbits: the separatrix between bound and plunging, whirling and not whirling. As a companion to that physical space study, in this paper we paint a phase space portrait of the homoclinic orbits that includes exact expressions for the actions and fundamental frequencies. Additionally, we develop a reduced Hamiltonian description of Kerr motion that allows us to track groups of trajectories with a single global clock. This facilitates a variational analysis, whose stability exponents and eigenvectors could potentially be useful for future studies of families of black hole orbits and their associated gravitational waveforms.
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