We derive the second-and-half post-Newtonian solution for the generally inclined motion of a test particle in Kerr spacetime when the effects of the spin-induced quadrupole are negligible. The next-to-leading order spin-orbit effects on the test particle’s motion are obtained, which are important in fitting the motions of the extremely-mass-ratio-inspiral systems and also calculating the gravitational wave radiated by this kind of systems at the second-and-half post-Newtonian order.

中文翻译：

---

克尔时空一般运动的次要自旋轨道效应

当自旋诱导四极杆的影响可以忽略不计时，我们推导出测试粒子在克尔时空中的一般倾斜运动的第二个半后牛顿解。得到了次一阶自旋轨道对测试粒子运动的影响，这对于拟合极质量比螺旋系统的运动以及计算此类系统在极质量比螺旋系统上辐射的引力波具有重要意义。后牛顿阶次半。