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基于无奇点根数的空间相对导航插值滤波算法
引用本文:李轶,张善从.基于无奇点根数的空间相对导航插值滤波算法[J].宇航学报,2012,33(12):1727-1735.
作者姓名:李轶  张善从
作者单位:1. 中国科学院光电研究院,北京 100094; 2. 中国科学院研究生院,北京 100049;3.北京国科环宇空间技术有限公司,北京 100190
基金项目:国家自然科学基金(40374054);国家863计划(2008AA12A221)
摘    要:为了提高椭圆轨道航天器的相对导航精度,将基于Stirling公式的多项式插值滤波方法(DDF2)引入导航算法,降低了传统的卡尔曼滤波方法中泰勒级数展开线性化

关 键 词:无奇点根数  相对轨道要素  相对自主导航  多项式插值滤波  编队飞行  
收稿时间:2011-10-31

Interpolation Filtering for Relative Navigation in Space Based on Non Singularity Orbit Elements #br#
LI Yi,ZHANG Shan cong.Interpolation Filtering for Relative Navigation in Space Based on Non Singularity Orbit Elements #br#[J].Journal of Astronautics,2012,33(12):1727-1735.
Authors:LI Yi  ZHANG Shan cong
Affiliation:1. Academy of Opto Electronics,Chinese Academy of Science,Beijing 100094,China; 2. Graduate University of Chinese Academy of Science,Beijing 100049,China; 3. Beijing UCAS Space Technology Co.,Ltd,Beijing 100190,China
Abstract:In order to improve the relative navigation accuracy of spacecrafts with elliptical orbit, the polynomial interpolation based on Stirling formula is applied to decrease the model error caused by Taylor expansion linearization in traditional Kalman filter, thus improving relative navigation accuracy effectively. The non singularity orbit elements are applied as the state variables in the state equation, the transform formulas between relative non\|singularity orbit elements and relative position(velocity) between spacecrafts are also derived, so that the singular points are avoided in the Kepler’s elements. Compared with the traditional C\|W formula, the non singularity formula is more suitable without any restriction of eccentricity. Taking the relative distance, azimuth and elevation between spacecrafts as measurement vectors, validity of UKF and polynomial interpolation is compared by using the same principal of sigma point selecting method and approximate computational load, the polynomial interpolation is proved to be more accurate and stable by using the numerical simulation results.
Keywords:Non singularity orbit elements  Relative orbit elements  Relative autonomous navigation  Polynomial interpolation filtering  Formation flying  
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