中继卫星系统动力学分析

应用单摆模型来等效液体晃动，并利用拉格朗日方程建立了中继卫星的动力学方程。在确定天线跟踪规律的基础上，从工程实际的角度分析了天线和星体之间的耦合作用。考虑天线不同的跟踪模式，将卫星的本体视为刚性体，在星体无控情况下进行系统的动力学响应分析。通过数值仿真确定天线在不同跟踪模式下对星体姿态的影响，并通过有无柔性振动和液体晃动结果的分析，得出天线运动特别是高速回扫、附件柔性振动都会对星体姿态产生比较大的影响，而液体晃动对星体姿态影响不大的结论。

Dynamics Analysis of Tracking and Data Relay Satellite

The single pendulum model is used as the equivalent mechanical model of the fuel sloshing in this paper, and the dynamics model of the TDRS is established by using the Lagrange equation. On the basis of having determined the antenna tracking law, the coupling between the antennas and the satellite platform is analyzed from the viewpoint of engineering practice. Regarding the platform as a rigid body, the dynamic response is analyzed in the case that the platform isn't controlled. The effect of the motion of the appendages imposing on the attitude of the platform and the effect of the liquid sloshing and the elastic vibration of the appendages imposing on the attitude of the platform are studied. Through the numerical simulation and the analysis of the simulation results, we know that the motion, especially the slew with high speed of the antennas and the vibration of the flexible appendages produce great impact on the TDRS platform, while the sloshing of the liquid has less influence on it.