论文标题
Newtonian后订单1.5的旋转，偏心二进制黑洞的封闭式解决方案
Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
论文作者
论文摘要
自1966年引入以来，很难在很长一段时间内获得1.5后牛顿（PN）精确的二进制黑洞（BBH）的封闭式解决方案。具有任意参数的PN BBH系统的封闭式解决方案（质量，spins，centricity）是建模Gravitation the Gravitational Waves（Gratitational Waves ficterational of Gravitation）（Gratitation the Gravitational Waves thempational Waves ficterational Waves them Gratitational waves them ageSsection of the Gratitation waves them thegs themegational of。 GWS的准确模型对于通过Ligo/pergo和Lisa检测至关重要。直到最近，在ARXIV：1908.02927（不使用动作角变量）和ARXIV：2012.06586，ARXIV：2110.15351（基于Action-Angle）中提出了两种解决BBH动力学的解决方案方法。本文结合了上述文章中提出的想法，填补了缺失的空白，并提供了完全准确的两种解决方案。我们还提出了一个公共Mathematica软件包BBHPntoolKit，该软件包实现了这两种解决方案，并将其与完全数值的处理进行了比较。这些解决方案之间的一致性水平为ARXIV：2012.06586和ARXIV中构建的所有五个动作提供了数值验证：2110.15351。因此，本文是通过规范扰动理论将基于动作角度的解决方案推向2PN顺序的垫脚石。
The closed-form solution of the 1.5 post-Newtonian (PN) accurate binary black hole (BBH) Hamiltonian system has proven to be difficult to obtain for a long time since its introduction in 1966. Closed-form solutions of the PN BBH systems with arbitrary parameters (masses, spins, eccentricity) are required for modeling the gravitational waves (GWs) emitted by them. Accurate models of GWs are crucial for their detection by LIGO/Virgo and LISA. Only recently, two solution methods for solving the BBH dynamics were proposed in arXiv:1908.02927 (without using action-angle variables), and arXiv:2012.06586, arXiv:2110.15351 (action-angle based). This paper combines the ideas laid out in the above articles, fills the missing gaps and provides the two solutions which are fully 1.5PN accurate. We also present a public Mathematica package BBHpnToolkit which implements these two solutions and compares them with a fully numerical treatment. The level of agreement between these solutions provides a numerical verification for all the five actions constructed in arXiv:2012.06586, and arXiv:2110.15351. This paper hence serves as a stepping stone for pushing the action-angle-based solution to 2PN order via canonical perturbation theory.
