Star spot motion trajectory modeling and error evaluation under large angular velocity
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摘要:
在大角速度条件下星敏感器成像平面上的星像会产生严重拖尾，影响星敏感器性能。为了全面认识星敏感器的星像运动轨迹形式，并定量评估星像运动对星点提取过程的影响，首先研究建立了星敏感器成像平面上星像运动轨迹的数学模型，推导出在成像平面上星像运动轨迹为一段圆弧；然后建立了星像运动时的能量分布模型，并对大角速度条件下基于质心法的星点坐标误差进行了评估，分析得到星点坐标误差的模近似可用星像运动轨迹长度的二分之一来衡量。仿真实验结果验证了所得结论的正确性。
Abstract:Star spots obtained by the star sensor on the imaging plane will be seriously blurred under large angular velocity, which affects the performance of the star sensor. In order to fully understand the star spot motion blur trajectory and quantitatively evaluate the influence of the star spot motion blur on the star centroid extraction process, this paper firstly establishes the mathematical model of the star spot motion trajectory on the imaging plane. It is derived that the star spot motion blur trajectory on the imaging plane is a part of the circle during the exposure time. Then the energy distribution model of the blurred star spot is established and the star spot centroid coordinate error based on the centroid method is evaluated under the large angular velocity. It is analyzed that the modulus of the star spot centroid error can be approximated to one half of the length of the star spot motion blur trajectory. The simulation results verify the correctness of the conclusions obtained in this paper.
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Key words:
- star sensor /
- motion blur /
- star spot extraction /
- motion decomposition and synthesis /
- error evaluation
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图 1 绕任意轴方向转动时的星像运动示意图
Figure 1. Schematic diagram of star spot motion when rotating around any axis
图 2 模糊星图上星像能量分布仿真示意图
Figure 2. Schematic diagram of star spot energy distribution simulation on blurred star image
图 5 绕Osxs轴转动时star1、star2和star3的运动轨迹
Figure 5. Motion trajectory of star1, star2 and star3 when rotating around Osxs axis
图 6 绕Osys轴转动时star1、star2和star3的运动轨迹
Figure 6. Motion trajectory of star1, star2 and star3 when rotating around Osys axis
图 7 绕Oszs轴转动时star1、star2和star3的运动轨迹
Figure 7. Motion trajectory of star1, star2 and star3 when rotating around Oszs axis
图 8 绕Osxs、Osys和Oszs轴转动时star1、star2和star3的运动轨迹
Figure 8. Motion trajectory of star1, star2 and star3 when rotating around Osxs, Osys and Oszs axis
图 10 仿真条件1)的星点坐标误差
Figure 10. Star spot coordinate error under simulation condition 1)
图 11 仿真条件1)的星点坐标误差的模与星像运动轨迹长度二分之一的对比
Figure 11. Comparison of modulus of star spot coordinate error and one half of star spot motion trajectory length under simulation condition 1)
图 12 仿真条件2)的星点坐标误差
Figure 12. Star spot coordinate error under simulation condition 2)
图 13 仿真条件2)的星点坐标误差的模与星像运动轨迹长度二分之一的对比
Figure 13. Comparison of modulus of star spot coordinate error and one half of star spot motion trajectory length under simulation condition 2)
图 14 仿真条件3)的星点坐标误差
Figure 14. Star spot coordinate error under simulation condition 3)
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