Modeling and analysis of solar Doppler difference bias with arbitrary rotation axis

作     者：Jin LIU Yangyang LI Xiaolin NING Xiao CHEN Zhiwei KANG Jin LIU;Yangyang LI;Xiaolin NING;Xiao CHEN;Zhiwei KANG

作者机构：College of Information Science and EngineeringWuhan University of Science and TechnologyWuhan 430081China College of Instrument Science and Optoelectronic EngineeringBeihang UniversityBeijing 100191China Shanghai Institution of Satellite EngineeringShanghai 200240China College of Information Science and EngineeringHunan UniversityChangsha 410082China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2020年第33卷第12期

页      面：3331-3343页

核心收录：

学科分类：08[工学] 081105[工学-导航、制导与控制] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported in part by the National Natural Science Foundation of China(Nos.61873196 61501336 61772187)。 

主　　题：Bias Doppler navigation Measurement Modeling Rotation 

摘      要：The solar rotation causes the solar Doppler difference bias,which leads to the decline of the velocity measurement accuracy.Modeling and compensation are an effective solution.The limited model with specific geometric direction,where the solar rotation axis is perpendicular to the plane through the Sun,the Earth and Mars,was established.However,in fact,the geometric relationship among the Sun,Mars and the spacecraft is not fully in line with the hypothesis of the model due to the spacecraft orbital angle and the solar rotation axis drift.Thus,this model is not consistent with the fact.In order to solve this problem,a universal solar Doppler difference bias model,which provides the expression with arbitrary rotation axis,is established in this paper.In this method,for any point at the solar surface,four variables including the direction of the solar rotation linear velocity at this point,the distance from this point to the rotation axis,the vector from this point to Mars,and the vector from this point to the spacecraft are calculated.Based on these four variables,the solar Doppler difference bias corresponding to this point is obtained.The theoretical analysis and simulation results demonstrate that the solar Doppler difference bias model with the actual rotation axis is different from that with one of the specific rotation axes.Therefore,it is indispensable to build the proposed model for compensation.Besides,the direction of the solar rotation axis,the spacecraft-Mars-Sun angle and the spacecraft-to-Mars distance are important impact factors for the proposed model.