中文摘要：

研究了轴对称引力场中准经典自旋粒子的短程线运动．由自旋空间一般形式的Killing方程导出了以这些方程解形式出现的运动常量．主要讨论在赤道平面的特殊情况，由于场源具有角动量，自旋粒子在Kerr场中的运动不同于史瓦西场中的情况．

英文摘要：

We study the geodesic motion of pseudo-classical spinning particles in the gravitational field. We investigate the generalized killing equations for spinning space and derive the constants of motion in terms of the solutions of these equations. We discuss the special case of motion in a plane, because of the angular momentum per unit mass, a, the spinning particles in Kerr spacetime is different form the case in Schwarzschild spacetime.