本文将教科书中的傅科摆模型推广至球面约束的小振动系统，其振动中心沿球面任意闭合轨道缓慢运动．从该广义傅科摆的拉格朗日函数出发，推导得到绝热近似解及进动转角．结果表明，在绝热近似条件下，进动转角与运动细节无关，仅为闭合轨道的泛函，且几何上起源为闭合轨道所围球面区域的立体角．本文规避了直接应用曲面矢量平移等微分几何理论．

The Foucault pendulum model in textbooks is generalized to a small vibration system with spherical constraint, where the vibration center undergoes slow motion along any closed orbit on the sphere. Starting from the Lagrangian function of the generalized Foucault pendulum, the adiabatic approximate solution and precession angle are derived. The results show that under the adiabatic approximation, the precession angle is independent of motion details, being only a functional of the closed orbit, which geometrically originates from the solid angle of the spherical area enclosed by the closed orbit. This paper avoids the application of theories of differential geometry such as surface vector translation.