顾及温度效应改正的多星敏感器角速度重建方法

doi:10.11947/j.AGCS.2024.20240093

测绘学报 ›› 2024, Vol. 53 ›› Issue (9): 1748-1760.doi: 10.11947/j.AGCS.2024.20240093

• 大地测量与导航 • 上一篇

顾及温度效应改正的多星敏感器角速度重建方法

胡丹怡¹^,²(), 吴云龙¹^,³(), 肖云⁴^,⁵, 仇越⁶, 吴晓辉¹, 钟玉龙¹

^1.中国地质大学（武汉）地理与信息工程学院，湖北　武汉　430074
^2.华中科技大学精密重力测量研究设施，湖北　武汉　430074
^3.中国地质大学（武汉）区域生态过程与环境演变湖北省重点实验室，湖北　武汉　430074
^4.西安测绘研究所，陕西　西安　710054
^5.地理信息工程国家重点实验室，陕西　西安　710054
^6.航天东方红卫星有限公司，北京　100094

收稿日期:2024-03-07 发布日期:2024-10-16
通讯作者: 吴云龙 E-mail:hudanyi@cug.edu.cn;wuyunlong@cug.edu.cn
作者简介:胡丹怡（2001—），女，硕士生，研究方向为卫星重力数据处理。E-mail：hudanyi@cug.edu.cn
基金资助:
国家自然科学基金(42274111);国家精密重力测量科学中心2024年度开放课题支持项目(PGMF-2024-P006);中国地质大学（武汉）中央高校基本科研业务员(2024XLB13)

Multi-star tracker angular velocity reconstruction method considering temperature effect correction

Danyi HU¹^,²(), Yunlong WU¹^,³(), Yun XIAO⁴^,⁵, Yue QIU⁶, Xiaohui WU¹, Yulong ZHONG¹

^1.School of Geography and Information Engineering, China University of Geosciences(Wuhan), Wuhan 430074, China
^2.National Precise Gravity Measurement Facility, Huazhong University of Science and Technology, Wuhan 430074, China
^3.Hubei Key Laboratory of Regional Ecology and Environmental Change, China University of Geosciences(Wuhan), Wuhan 430074, China
^4.Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China
^5.State Key Laboratory of Geo-Information Engineering, Xi'an 710054, China
^6.DFH Satellite Co., Ltd., Beijing 100094, China

Received:2024-03-07 Published:2024-10-16
Contact: Yunlong WU E-mail:hudanyi@cug.edu.cn;wuyunlong@cug.edu.cn
About author:HU Danyi(2001—), female, postgraduate, majors in satellite gradiometry data processing. E-mail: hudanyi@cug.edu.cn
Supported by:
The National Natural Science Foundation of China(42274111);The National Precise Gravity Measurement Facility 2024 Open Topic Support Project(PGMF-2024-P006);The Fundamental Research Funds for National Universities, China University of Geosciences (Wuhan)(2024XLB13)

摘要/Abstract

摘要：

高精度卫星姿态控制是卫星重力数据预处理的重要环节。地球重力场和海洋环流探测（GOCE）卫星搭载的关键荷载星敏感器在低轨运行状态中，不可避免地受到空间环境的温度变化影响，导致星敏感器视轴夹角（IBA）存在2″~14″偏移，直接影响卫星姿态的精度。定量分析温度效应对卫星姿态的影响，精确测定卫星角速度，是卫星数据预处理流程中的重要环节，直接影响高精度重力梯度分量构建的精度。本文基于GOCE卫星任务的特性，构建了一种多星敏感器联合姿态四元数的温度效应改正方法，包括星敏感器之间的相对姿态偏移量构建为温度相关线性函数，结合星敏感器各轴的精度差异建立加权矩阵，依据最小二乘原理得到最优姿态四元数重建角速度。同时，在原始姿态数据的解算中，构建一种对数四元数Hermite超曲面内插方法进行数据优化处理。研究结果表明，改正后的星敏感器姿态四元数计算出的IBA与参考框架信息对比无明显偏移。且经过温度效应改正后，星敏感器各轴角速度噪声水平大幅下降了约两个量级，精度达到10^-10 rad·s^-1，显著提高了角速度重建的精度，各轴角速度精度保持良好一致性。基于本文方法计算得到的重力梯度迹的功率谱密度，在整个频域内有较为明显的改善。

关键词: 星敏感器, 视轴夹角, 姿态四元数, 温度效应, Hermite超曲面内插

Abstract:

High-precision satellite attitude control is an important data preprocessing aspect of satellite gravity mission operation. The key payload star trackers onboard the gravity field and steady-state ocean circulation explorer (GOCE) satellite inevitably experience temperature variations in its low orbit, leading to inter-boresight angles (IBA) deviations ranging from 2 to 14 arcseconds, directly impacting the accuracy of satellite attitude. Quantitative analysis of temperature effects on satellite attitude and precise determination of satellite angular velocities are essential steps in the satellite data preprocessing workflow, directly influencing the accuracy of high-precision gravity gradient component reconstruction. In this study, based on the characteristics of the GOCE satellite mission, we develop a temperature effect correction method for joint attitude quaternion reconstruction using multiple star trackers. This method involves constructing a linear function of temperature-related relative attitude offsets between star trackers, establishing a weighted matrix considering the precision differences among sensor axes, and obtaining the optimal quaternion reconstruction of attitude velocities based on the principle of least squares. Additionally, in the original attitude data processing, we propose a logarithmic quaternion Hermite hypersurface interpolation method for data optimization. The research results demonstrate that the corrected attitude quaternions calculated from star tracker data exhibit no significant deviation when compared with reference frame information. Moreover, after temperature effect correction, the noise level of angular velocity for each tracker axis significantly decreases by approximately two orders of magnitude, achieving an accuracy of 10^-10 rad·s^-1 and significantly improving the precision of velocity reconstruction. Additionally, the angular velocity accuracy of each tracker axis maintains good consistency.The power spectral density of the gravity gradient trace calculated based on this method shows a more significant improvement in the whole frequency domain.

Key words: star tracker, inter-boresight angles, attitude quaternion, temperature effect, Hermite hypersurface interpolation

中图分类号:

P223

胡丹怡, 吴云龙, 肖云, 仇越, 吴晓辉, 钟玉龙. 顾及温度效应改正的多星敏感器角速度重建方法[J]. 测绘学报, 2024, 53(9): 1748-1760.

Danyi HU, Yunlong WU, Yun XIAO, Yue QIU, Xiaohui WU, Yulong ZHONG. Multi-star tracker angular velocity reconstruction method considering temperature effect correction[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(9): 1748-1760.

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数据产品	描述
STR_VC2_1b	星敏感器标识符(STR_ID)，四元数(Q₁，Q₂，Q₃，Q₄)，有效标志(Val_Flag)，星敏感器视场异物标志(BBO)
STR_VC3_1b	星敏感器标识符(STR_ID)，四元数(Q₁，Q₂，Q₃，Q₄)，有效标志(Val_Flag)，星敏感器视场异物标志(BBO)
AUX_NOM_1b	星敏感器CCD温度
AUX_EGG_DB	从星敏感器参考系(SSRF)到与卫星主轴对齐的公共参考系(梯度仪参考系GRF)的旋转

星敏感器	三轴总标准差	x^GRF轴标准差	y^GRF轴标准差	z^GRF轴标准差
温度改正前STR1	2.911 5×10^－4	3.173 7×10^－5	13.160 0×10^－5	8.257 2×10^－5
温度改正后STR1	2.777 0×10^－4	3.006 5×10^－5	1.164 2×10^－5	3.248 8×10^－5

结果对比	IBA12	IBA23	IBA31
飞行前/(°)	40.705 5	55.052 2	39.655 9
温度改正前飞行中/(°)	40.709 6	55.049 7	39.655 3
与飞行前的差异/(″)	14.760 0	9.000 0	2.160 0
温度改正后飞行中/(°)	40.705 6	55.052 2	39.655 9
与飞行前的差异/(″)	0.360 0	0.000 0	0.000 0

顾及温度效应改正的多星敏感器角速度重建方法

Multi-star tracker angular velocity reconstruction method considering temperature effect correction

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