摘要
最优观测周期的确定对脉冲星导航计算具有重要意义。首先推导了航天器处观测脉冲相位估计方差的理论下界,然后给出了观测脉冲相位估计误差与脉冲星观测周期之间的关系式,并以观测脉冲相位估计的均方误差最小为准则,给出了最优观测周期的近似计算公式,最后利用脉冲星PSR B0531+21的实测数据验证了该关系式的正确性。仿真结果表明所给最优观测周期计算公式对脉冲星PSR B0531+21的预测误差为44 s,证明了所给公式的正确性,为导航中脉冲星观测周期的确定提供了理论基础。
To improve the estimation accuracy of observation pulse phase,the relationship between pulsar observation period and observation pulse phase estimation accuracy in navigation is studied.Firstly,the theoretical lower bound of observation pulse phase estimation variance at spacecraft is derived,and then the relationship between observation pulse phase estimation error and pulsar observation period is given.Taking the minimum mean square error of observation pulse phase estimation as the criterion,the approximate calculation formula of the optimal observation period is given.Finally,the observational data of PSR B0531+21 are used to verify the correctness of the formula.The simulation results show that the prediction error of the given optimal observation period formula for PSR B0531+21 is 44 s,which proves the correctness of the formula given in this paper and provides a theoretical basis for determining the observation period of pulsars in navigation.
作者
苏剑宇
方海燕
高敬敬
赵良
SU Jianyu;FANG Haiyan;GAO Jingjing;ZHAO Liang(School of Aerospace Science and Technology,Xidian University,Xi’an 710126,China;Science and Technology on Space Physics Laboratory,Beijing Institute of Nearspace Vehicle’s SystemsEngineering,Beijing 100101,China)
出处
《航空学报》
EI
CAS
CSCD
北大核心
2023年第3期245-256,共12页
Acta Aeronautica et Astronautica Sinica
基金
省部级项目。
关键词
脉冲星导航
观测脉冲相位
观测周期
理论下界
均方误差
pulsar navigation
observation pulse phase
observation period
theoretical lower bound
mean square error
