论文标题
纽顿后BBH系统(讲义)的基于整合性和动作角度解决方案
Integrability and action-angle-based solution of the post-Newtonian BBH system (lecture notes)
论文作者
论文摘要
这些讲义是基于参考文献。 ARXIV:2110.15351,ARXIV:2012.06586和ARXIV:1908.02927,旨在通过两种不同等效的方式为1.5pn的旋转,古怪的二进制黑洞动力学提供封闭式解决方案:(1)使用汉密尔顿方程和使用行动量的标准方式(1)标准的方式。上面的论文假设对经典力学的符合性几何方法具有一定程度的熟悉程度,而读者的不足可能会使论文显得深奥。这些讲义的目的是为读者提供上述论文对读者所假定的先决条件知识。
These lecture notes are based on Refs. arXiv:2110.15351, arXiv:2012.06586, and arXiv:1908.02927, which aim to give closed-form solutions to the spinning, eccentric binary black hole dynamics at 1.5PN via two different equivalent ways: (1) the standard way of integrating Hamilton's equations and (2) using action-angle variables. The above papers assume a certain level of familiarity with the symplectic geometric approach to classical mechanics, the non-fulfillment of which on the reader's part may make the papers appear esoteric. The purpose of these lecture notes is to give the reader this prerequisite knowledge which the above papers assume on the reader's part.