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在假设了无质量的系绳和地球中心引力场后 ,绳系卫星系统在同一轨道平面内运动由子星—母星之间相对位置向量描述 ,亦即由该向量的长度 (两星间距 )变化和方位角的变化而决定。在引入距离速率控制算法之后 ,系统的动力学主要由方位角运动而定。当母星轨道为圆形时 ,系统运动状态具有极限点 ,而在椭圆轨道下则有极限环。采用了非线性动态系统的方法和技术来计算极限状态和分析它们的稳定特性以及运动的分形问题。用本文中方法对TSS 1以及其他绳系卫星系统方案作了数字模拟。
After assuming a massless tether and a gravitational field at the center of the Earth, the movement of the tethered satellite system in the same orbital plane is described by the vector of relative position between the star and the mother star, that is, the change of the length of the vector (two-star pitch) and Azimuth changes and decide. After the introduction of the distance-rate control algorithm, the dynamics of the system are mainly determined by the azimuthal motion. When the mother orbit is circular, the state of the system has a limit point, and there is a limit cycle under the elliptical orbit. The methods and techniques of nonlinear dynamic systems are used to calculate the limit states and to analyze their stability characteristics and fractal problems of motion. The method of this article was used to digitally simulate the TSS 1 and other tethered satellite systems.