中心对称平面三连杆的同步运动

研究中心对称平面三连杆的运动.该模型是常见的力学系统,可以近似描述外层空间中弱引力条件下带有太阳能板的卫星的运动状况.然而,由于该系统是不可积系统,一般的运动状况比较复杂.在本文中对该模型建立Lagrange运动方程,主要研究其同步运动,求出同步运动的精确解,并分析其运动规律,证明了在一定条件下存在周期解.本文的结果为进一步研究该系统的在同步运动附近的复杂性打下了基础.

Synchronous Motion of Center Symmetry Plane Three Connecting Rod

Center symmetry plane three connecting rod is studied. This model can be used to describe the movement of satellite with symmetry solar pane in outer space with weak gravitation. Since the system is nonintegrable, in general, the movement of such system is complicated. The Lagrange motion equation of the system is established, and synchronous movement is studied.Exact solution of synchronous movement is presented and movement disciplinarian is studied. It proved that under certain condition, it exist periodic motion. Results will be helpful to analysis the complicity of near synchronous movement of the system.