大气湍流对高分辨率遥感卫星定位精度的影响分析

曹宗新; 曹楠; 杨燕燕; 丁致雅; 毛红敏; 彭建涛; 樊丽娜; 陆焕钧; 孙会娟; 胡立发; 曹召良

doi:10.37188/CO.2022-0196

大气湍流对高分辨率遥感卫星定位精度的影响分析

doi: 10.37188/CO.2022-0196

曹宗新^{1, 2, †,},
曹楠^{1, 2, †,},
杨燕燕³,
丁致雅^{1, 2},
毛红敏^{1, 2},
彭建涛⁴,
樊丽娜^{1, 2},
陆焕钧^{1, 2},
孙会娟⁵,
胡立发³,
曹召良^{1, 2, ,}

1.
苏州科技大学物理科学与技术学院, 江苏苏州 215009
2.
江苏省微纳热流技术与能源应用重点实验室, 江苏苏州 215009
3.
江南大学理学院, 江苏无锡 214122
4.
中国航天科技集团公司上海卫星工程研究所, 上海 201109
5.
北京联合大学数理部, 北京 100101

基金项目: “十四五”江苏省重点学科资助（No. 2021135）；中国航天科技集团公司第八研究院产学研合作基金资助（No. SAST2020-025）；北京联合大学科研项目资助（No. ZK70202007）；江苏省自然科学基金青年基金项目（No. BK20220640）；江苏省基础科学（自然科学）研究面上项目（No. 22KJB150011）

详细信息

作者简介:
曹宗新（1999—），男，江苏镇江人，硕士研究生，2021年于苏州大学文正学院获得学士学位，主要研究方向为激光雷达以及大气湍流的影响分析。E-mail：caozx117@qq.com

曹　楠（2000—），女，江苏苏州人，2022年于苏州科技大学获得学士学位，主要研究方向为大气湍流的影响分析。E-mail：2651145014@qq.com

曹召良（1974 —），男，河南济源人，博士，教授，博士生导师，2008年于中国科学院长春光学精密机械与物理研究所获得博士学位，主要从事液晶自适应光学系统的光学设计、光学实验以及理论分析和模拟工作。E-mail：caozl@usts.edu.cn

中图分类号: O439
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出版历程
- 收稿日期: 2022-09-22
- 修回日期: 2022-09-30
- 录用日期: 2022-12-09
- 网络出版日期: 2022-12-09

Effect of atmospheric turbulence on the tracking accuracy of high-resolution remote sensing satellites

CAO Zong-xin^{1, 2, †
,},
CAO Nan^{1, 2, †
,},
YANG Yan-yan³,
DING Zhi-ya^{1, 2},
MAO Hong-min^{1, 2},
PENG Jian-tao⁴,
FAN Li-na^{1, 2},
LU Huan-jun^{1, 2},
SUN Hui-juan⁵,
HU Li-fa³,
CAO Zhao-liang^{1, 2
, ,}

1.
School of Physical Science and Technology, Suzhou University of Science and Technology, Suzhou 215009, China
2.
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, Suzhou 215009, China
3.
School of Science, Jiangnan University, Wuxi 214122, China
4.
Shanghai Institute of Satellite Engineering, China Aerospace Science and Technology Corporation, Shanghai 201109, China
5.
Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China

Funds: Supported by Jiangsu Key Disciplines of the Fourteenth Five-Year Plan (No. 2021135); Industry-University-Institute Cooperation Foundation of the Eighth Research Institute of China Aerospace Science and Technology Corporation (No. SAST2020-025); the Academic Research Projects of Beijing Union University (No. ZK70202007); the Natural Science Foundation of Jiangsu Province (No. BK20220640); the Natural Science Foundation of Jiangsu Higher Education Institutions of China (No. 22KJB150011)

More Information

Corresponding author: caozl@usts.edu.cn

摘要

摘要:
本文重点研究相机口径、大气湍流强度和卫星轨高对高分辨率遥感卫星定位精度的影响。首先，基于Kolmogorov湍流理论建立对地观测大气湍流模型和湍流模拟方法；然后，仿真分析了相机口径、卫星轨道高度和大气相干长度对卫星定位精度的影响规律，推导出湍流波前倾斜与相机口径、卫星轨道高度和大气相干长度的普适公式；最后，基于该普适公式，得出卫星对地观测时抖动量的理论计算公式。本论文的研究可为后续高分辨率遥感卫星的设计、分析和评估提供大气湍流影响的理论依据。
- 大气湍流 /
- 高分辨率遥感卫星 /
- 对地观测 /
- 倾斜像差 /
- 跟踪精度
Abstract:
We focuse on the effects of camera aperture, atmospheric turbulence intensity and satellite orbit height on the tracking and positioning accuracy of high-resolution remote sensing satellites. Firstly, we establish a turbulence model and turbulence simulation method based on Kolmogorov turbulence theory for observation of the Earth. Then, the influence of camera aperture, satellite orbit height and atmospheric coherence length on the positioning accuracy of the satellite is simulated and analyzed, and then a universal formula is deduced to calculate the tilt aberration of turbulence wavefront. Finally, based on this universal formula, a theoretical formula for calculating jitter is derived for Earth observation. This work can provide a theoretical basis of the influence of atmospheric turbulence for the design, analysis and evaluation of high-resolution remote sensing satellites.
- atmospheric turbulence /
- high-resolution remote sensing satellite /
- earth observation /
- tilt aberration /
- tracking accuracy
注释:

1) † 共同第一作者

HTML全文

图 1 （a）地对空成像示意图；（b）卫星对地成像示意图

Figure 1. Schematic diagrams of (a) ground-to-space imaging and (b) satellite-to-earth imaging

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图 2 湍流分层示意图

Figure 2. Schematic diagram of turbulence stratification

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图 3 （a）第一层，（b）第二层，（c）第三层及（d）总的湍流波前畸变

Figure 3. (a) The first layer, (b) the second layer, (c) the third layer and (d) total distorted turbulents wavefronts

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图 4 湍流波前的倾斜

Figure 4. Tilt of turbulent wavefront

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图 5 倾斜量随相机口径的变化

Figure 5. Variation of the tilt with camera aperture

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图 6 倾斜量随卫星轨道高度的变化

Figure 6. Variation of the tilt with satellite orbit height

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图 7 倾斜量随大气相干长度的变化

Figure 7. Variation of the tilt with atmospheric coherence length

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图 8 倾斜量随大气湍流强度和卫星轨高的变化关系

Figure 8. Variation of tilt with atmospheric turbulence intensity and satellite orbital height

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图 9 不同参量值下的仿真值与理论值

Figure 9. Simulated and theoretical values at different parameters

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图 10 不同参量值下的仿真与理论误差

Figure 10. Simulated and theoretical errors at different parameters

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图 11 角度抖动量随轨高和大气相干长度的变化

Figure 11. Variation of angular jitter with satellite orbit height and atmospheric coherence length

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图 12 焦平面抖动量的三维图

Figure 12. 3D plot of focal plane jitter

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表 1 随机选取的变量

Table 1. Randomly selected variables

　 1 2 3 4 5 6 7

D(m) 2 2 4 4 6 8 10
H(km) 100 400 300 200 700 1200 800
r₀(cm) 5.6 8.6 5.6 15 7 3 11.7

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