用凯特摆测量重力加速度的关键步骤是让其正摆和倒摆的周期相等. 本文以凯特摆在正摆与倒摆时的周期差异为目标函数，给出其对悬挂点、大摆锤和小摆锤位置这三个位形参数的单调性和敏感度分析. 在此基础上，我们提出了一种快速寻找凯特摆正倒摆周期相等的位形参数的算法，此算法显著减少了位形参数的调整次数，大幅地提高了测量的效率.

A crucial step in measuring gravitational acceleration using a Kater pendulum is to equalize the periods of its normal and inverted oscillations. This paper takes the oscillating period difference of a Kater pendulum in its normal and inverted configurations as the objective function, and presents a monotonicity and sensitivity analysis of this function with respect to three configuration parameters: hanging point, large bob, and small bob positions. Based on this analysis, we propose an efficient algorithm for finding the configuration parameters with isochronous normal and inverted oscillations in Kater pendulum, significantly reducing the number of adjustments required and substantially improving experimental efficiency.