摘要
针对大规模星座轨道预报存在卫星数量多、摄动方程强非线性等难题,提出一种基于平均速率矩阵的多星同步快速轨道预报算法。该算法首先基于哈密顿力学理论建立了二阶带谐项摄动下的轨道动力学模型,其次,利用无奇异轨道根数提出了一种近圆无奇异解析轨道预报模型,并基于Fourier-Bessel级数理论消除真近点角使模型只含有平近点角,简化预报计算过程,在此基础上,基于矩阵理论构造了多星轨道同步预报算法,实现多星轨道同步快速预报。以“星链”卫星星座为例进行仿真,结果表明:提出的方法能够将计算速度提高一个数量级,7天的轨道预报误差小于2.7 km。
For dealing with the challenges of strong nonlinearity of perturbed dynamics and numerous satellites when predicting the orbital evolution of a large-scale constellation,a nonsingular multi-satellite synchronous orbit prediction method based on the average rate matrix is proposed.Firstly,the orbital dynamics model under the second-order zonal perturbation is established based on Hamiltonian theory.Secondly,a near-circular nonsingular analytic orbit prediction model is proposed by using nonsingular orbit elements.Afterward,a multi-satellite orbit synchronous prediction algorithm is constructed based on matrix theory,which significantly improves the efficiency of multi-satellite orbit prediction.Taking the Starlink constellation as the simulation example,the results show that the proposed method can increase the calculation speed by an order of magnitude,and the error of 7-day orbit prediction is less than 2.7 km.
作者
聂涛
潘政雨
李金峰
徐瑞
秦凡
崔平远
NIE Tao;PAN Zhengyu;LI Jinfeng;XU Rui;QIN Fan;CUI Pingyuan(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration,Ministry of Industry and Information Technology,Beijing 100081,China)
出处
《宇航学报》
EI
CAS
CSCD
北大核心
2023年第10期1503-1511,共9页
Journal of Astronautics
基金
北京理工大学青年教师学术启动计划,空间碎片专项(KJSP2020020302)。
关键词
轨道预报
大规模星座
二阶带谐项摄动
轨道根数速率矩阵
Orbit prediction
Large-scale constellation
Second-order zonal perturbation
Velocity matrix of orbital elements
