基于修正罗德里格参数的绳系卫星动力学模型  

Tethered Satellite System Dynamic Model Based on Modified Rodrigues Parameters

作　　者：唐溢敏 战兴群[1] Tang Yimin;Zhan Xingqun(Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学

出　　处：《航天控制》2019年第4期20-26,共7页Aerospace Control

摘　　要：针对基于欧拉角的绳系卫星动力学系统模型在面外角的余弦函数为0时,面内角变得不稳定的奇点问题,提出一种基于修正的罗德里格参数和其阴影相结合的绳系卫星系统动力学模型。在证明了其在消除奇点问题可行性的基础上,进行了仿真,实验结果表明该模型在消除奇点的优势下,修正的罗德里格参数及其阴影的非连续性转换并不会影响到欧拉角的连续性变化和表示,具有全局性。A tethered satellite dynamic model is proposed,which is based on the combination of Modified Rodrigues Parameters(MRPs)and their shadow parameters.The singularity problem is successfully resoved when the cosine of external angle is zero in the traditional dynamic model based on Euler angle.In addition to the analytical derivations,a simulation analysis is implemented,and the results indicate that this model can effectively solve the singularity problem.Also,it is shown that the discontinuity switch of MRPs and their shadow parameters can not influence the continuity of the changes and expression of Euler angle.Therefore,a global solution is presented by using MRPs in this model.

关 键 词：绳系卫星 动力学模型 修正的罗德里格参数 奇点消除 

分 类 号：V11[航空宇航科学与技术—人机与环境工程]