本文以当地水平坐标系中的自由飞行的等角摄动方程组为基础,在求出各种类型的摄动方程组的状态矢量的转换关系后,利用矩阵理论中代数等价系统的性质,获得建立各种类型摄动方程组及求出其状态转移矩阵解析解的统一方法,最后给出了等角、等高、等时摄动方程组的状态转移矩阵的解析表达式。 Based on the free-flight isometric perturbation equations in the local horizontal coordinate system, after the transformation of the state vectors of various types of perturbation equations is obtained, by using the properties of the algebraic equivalent system in the matrix theory, The uniform method of establishing all kinds of perturbed equations and finding the analytic solution of its state transition matrix is ​​obtained. Finally, the analytical expression of the state transition matrix of equi-angle, contour and isochronous perturbed equations is obtained.