Study on Spatial Perturbation Error Algorithm for Electrostatic Accelerometer Measurement in Space Applications
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摘要: 摘要 静电加速度计具有很高的非保守力测量精度,在空间飞行器相关的科学和工程领域正获得越来越广泛的应用。针对空间应用中存在的空间耦合加速度的问题,本文通过加速度计及空间动力学建模及理论推导,获得了包含日月等三体在内的空间动力学摄动因素对加速度计测量影响的关系式。这些因素包含了日月等空间三体、高阶地球重力场及潮汐力场、飞行器的轨道与姿态变化、加速度计的安装位置、飞行器自身的引力以及各种空间非保守力。并据此进行了空间各耦合摄动源对静电加速度计输出的三维摄动算法研究,利用Matlab完成了实时空间耦合摄动的算法,并对地球同步轨道卫星的空间各摄动进行了计算,结果符合预期。获得的算法可用于提高静电加速度计的测量精度,为空间飞行器惯性导航和定轨等相关应用提供部分支持。
Abstract: Abstract Electrostatic accelerometer offer high precision in measuring non-conservative forces and are increasingly being utilized in scientific and engineering fields related to space vehicles.To address the issue of spatial coupling accelerations in space applications,this paper derives relationships that express the influence of spatial dynamic perturbation factors,including the Sun,Moon,and other third-body bodies on accelerometer measurements.These factors encompass third body perturbation(Sun,Moon,etc.),the high order Earth gravity field and tidal force field,orbital and attitude variations of the spacecraft,installation position of the accelerometer,the spacecraft’s own gravitational field,and various spatial non-conservative forces.Based on these,a three dimensional perturbation algorithm for the output of the electrostatic accelerometer under various coupled perturbation sources in space is developed.A real time spatial coupled perturbation algorithm is implemented using MATLAB,and calculations on a geosynchronous orbit satellite are performed,yielding results consistent with expectations.The proposed algorithm can enhance the measurement accuracy of the electrostatic accelerometer and provide partial support for applications such as space vehicle inertial navigation and orbit determination.
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