The second post-Newtonian solution for the equatorial motion of a test particle in the Kerr spacetime is derived under the harmonic coordinates. The effects of the spin-induced quadrupole on the equatorial motion are obtained. The solution is formulated in terms of the Kerr black hole’s mass and spin, as well as the particle’s orbital energy and angular momentum.

中文翻译：

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自旋诱导四极子对克尔时空赤道运动的影响

克尔时空中测试粒子赤道运动的第二个后牛顿解是在调和坐标下导出的。获得了自旋诱导四极杆对赤道运动的影响。该解是根据克尔黑洞的质量和自旋，以及粒子的轨道能量和角动量制定的。