标题： 具有领先阶自旋-轨道相互作用的致密双星保守后牛顿精确动力学的确定性特性 显示英文标题

标题： The deterministic nature of conservative post-Newtonian accurate dynamics of compact binaries with leading order spin-orbit interaction

摘要： 我们正式证明，当自旋效应仅限于一阶自旋-轨道相互作用时，具有任意质量的旋转致密双星在偏心轨道上运动的保守二阶后牛顿（PN）精确动力学，在以下两种不同情况下不能是混沌的：(i) 双星由任意质量的致密天体组成，其中只有一个具有任意自旋；(ii) 双星由质量相等的致密天体组成，具有两个任意自旋。 我们的论点基于对上述情况的PN精确开普勒型参数解的最新确定，表明在这些情况下，PN精确的动力学是可积的。 我们将我们的情况(i)的预测与一个等效场景的数值研究结果进行了比较，该研究观察到了相关动力学中的混沌。 我们还提出了可能的差异原因。 显示英文摘要

摘要： We formally show that the conservative second post-Newtonian (PN) accurate dynamics of spinning compact binaries moving in eccentric orbits, when spin effects are restricted to the leading order spin-orbit interaction cannot be chaotic for the following two distinct cases: (i) the binary consists of compact objects of arbitrary mass, where only one of them is spinning with an arbitrary spin and (ii) the binary consists of equal mass compact objects, having two arbitrary spins. We rest our arguments on the recent determination of PN accurate Keplerian-type parametric solutions to the above cases, indicating that the PN accurate dynamics is integrable in these two situations. We compare predictions of our case (i) with those from a numerical investigation of an equivalent scenario that observed chaos in the associated dynamics. We also present possible reasons for the discrepancies.