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

Chinese Journal of Aeronautics 2020年第12期33卷 3331-3343页

作者： Jin LIU Yangyang LI Xiaolin NING Xiao CHEN Zhiwei KANG College of Information Science and Engineering Wuhan University of Science and TechnologyWuhan 430081China College of Instrument Science and Optoelectronic Engineering Beihang UniversityBeijing 100191China Shanghai Institution of Satellite Engineering Shanghai 200240China College of Information Science and Engineering Hunan UniversityChangsha 410082China

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.

关键词： Bias Doppler navigation Measurement Modeling Rotation

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