轨道平面外直线形绳系编队系统运动状态解析关系  

Analytical Relationship of Motion States of a Linear Tethered Formation in Nontypical Planes

作　　者：汤毓宁 余本嵩[1] TANG Yuning;YU Bensong(State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学航空航天结构力学及控制国家重点实验室,南京210016

出　　处：《空间控制技术与应用》2023年第3期85-96,共12页Aerospace Control and Application

基　　金：国家自然科学基金资助项目(12072147);江苏省自然科学基金(BK20211177);航空科学基金(2020Z063052001)。

摘　　要：本文研究正交控制力约束下,轨道平面外三星直线排列的绳系编队系统动力学特性.在非惯性坐标系下构建系统动力学模型,其中卫星和两根起连接作用系绳分别简化为质点和无质量弹簧,推导系统状态与系统动力学的解析关系式及对运动形式间临界状态的影响.提出一个三维动力学参数域以展示系统在任意轨道面内动力学,并通过数值仿真进行验证,结果显示解析计算结果与仿真结果完全一致.The dynamics of a linear tethered system with three satellites in nontypical plane with orthogonal control force is studied in this paper.An approximate but useful model for a high-dimensional nonlinear system is established in the non-inertial frame,where three satellites and two space tethers are deemed to be particles and massless springs,respectively.The analytical relationship between the initial state and dynamics and its influence on the critical state of dynamic behavior are derived.A three-dimensional dynamic parameter domain is proposed to demonstrate the dynamics in any orbital plane,and verified by numerical simulation.The results show that the analytical calculation is completely consistent with the simulation.

关 键 词：直线形编队 轨道平面外 参数域 临界状态 解析关系 

分 类 号：O322[理学—一般力学与力学基础]