Kerr场中缓慢粒子的运动

本文用后－后牛顿近似讨论Ｋｅｒｒ场中缓慢粒子的运动，我们用Ｂｏｙｅｒ－Ｌｉｎｄｑｕｉｓｔ坐标，导出试验粒子的运动方程，把它与有心力场中粒子作二体运动之球坐标形式下的运动方程对比，得出由于Ｋｅｒｒ场的作用而引起的试验粒子的等效摄动加速度，利用球面三角公式把它换算到行星运动摄动方程的形状，对摄动方程进行积分，我们得出了试验粒子绕中心天体运动一周后粒子轨道根数的变化以及单位时间中轨道根数的平均变化，运用

MOTION OF PARTICLES WITHE SLOW VELOCITY IN THE KERR METRIC FILD OF GRAVITY

Using the method outlined by Landau-Lifshitz, a force, the counterpart of Newtonian gravitation, exerting on a test particle with slow velocity outside of a rotating object is calculated under the Kerr metric field produced by the rotating object.Taking the difference between the force and Newtonian gravitation as a disturbing force of the Newtonian two-body problem, the disturbing equations for the particle moved around the central rotating object are solved in the post-post-Newtonian approtimation The variations of the orbital elements in a period, to the second order turms, have been found. Some influence of these variations of the orbital elements with the second order turms on the evolution of the solar system is also discussed in the text.