In the part of orbit control , the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint , and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control , the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra , moreover , to design corresponding control schemes 在轨道控制部分，研究的主要思想是从整体化的观点出发定义一种建立在riemann流形上的非线性控制系统，将状态空间的几何结构与控制系统的状态方程建立直接的联系。在姿态控制部分，研究的主要思想是以整体微分几何方法为工具，以李群与李代数等数学理论为基础，从数学角度建立具有良好性能的数学模型，并设计出相应的控制方法。
