Document Type : Original Article


1 Space Sensors Group, Institute of Mechanics, Shiraz, Iran

2 Remote Sensing Payloads, Institute of Mechanics Shiraz, Iran


Star tracker is one of the most important devices used on satellites for attitude determination. Since its output is discontinuous, it needs a complementary unit to cover its discontinuities. Using gyroscope unit is the most suitable choice for aiding the star tracker. However, using these two kinds of sensor simultaneously has some challenges. In other words, not only not only sensor biases decrease the accuracy of attitude determination, but also the installation error has a significant effect on the accuracy. In this paper, after presenting the important role of installation errors between star tracker and gyroscope in the accuracy of attitude determination, an effective method is proposed to determine the misalignment error between these two sensors which is only based on their measurements, and the mathematical formulation is presented in detail. Finally, to validate the performance of the proposed method, it is implemented to calculate the instantiation error of an experimental dataset gathered in the Mount Pooladkaf, And the results are reported in the form of graphs and tables


Main Subjects

[1]         R. Mu, H. Sun, Y. Li, and N. Cui, “INS/CNS Deeply Integrated Navigation Method of Near Space Vehicles,” Sensors, vol. 20, no. 20, 2020.
[2]         Y. Yang, C. Zhang, J. Lu, and H. Zhang, “Classification of Methods in the SINS/CNS Integration Navigation System,” IEEE Access, vol. 6, pp. 3149–3158, 2017.
[3]         Z. W. Memon, S. J. H. Pirzada, and F. Li, “Navigation of Student Satellite in LEO with Minimal Sensors,” in Advances in Guidance, Navigation and Control, 2022, pp. 5409–5418.
[4]         M. Ghesmati, J. Heyrani Nobari, M. Arvan, and A. Kashaninia, “Gyroscope Drift Error Analysis in the Position-Independent Navigation Algorithm of a stable platform Inertial System,” J. Control, vol. 14, no. 2, 2020.
[5]         J. Lu, C. Lei, and Y. Yang, “A Dynamic Precision Evaluation Method for the Star Sensor in the Stellar-Inertial Navigation System,” Sci. Rep., vol. 7, no. 1, p. 4356, 2017.
[6]         F. L. Markley and J. L. Crassidis, Fundamentals of Spacecraft Attitude Determination and Control. New York, NY: Springer New York, 2014.
[7]         J. Jiang, W. Yu, and G. Zhang, “High-accuracy decoupling estimation of the systematic coordinate errors of an INS and intensified high dynamic star tracker based on the constrained least squares method,” Sensors (Switzerland), vol. 17, no. 10, 2017.
[8]         X. Ning, J. Zhang, M. Gui, and J. Fang, “A Fast Calibration Method of the Star Sensor Installation Error Based on Observability Analysis for the Tightly Coupled SINS/CNS-Integrated Navigation System,” IEEE Sens. J., vol. 18, no. 16, pp. 6794–6803, 2018.
[9]         Y. Yang, C. Zhang, J. Lu, and H. Zhang, “In-Flight Calibration of Gyros and Star Sensor with Observability Analysis for SInS/CnS Integration,” IEEE Sens. J., vol. 17, no. 21, pp. 7131–7142, 2017.
[10]       Z. Yang, X. Zhu, Z. Cai, W. Chen, and J. Yu, “A real-time calibration method for the systematic errors of a star sensor and gyroscope units based on the payload multiplexed,” Optik (Stuttg)., vol. 225, 2021.
[11]       م. رضایی و ح. سبحانی پور, "کالیبراسیون حسگر ژیروسکوپ سه محوره ممز", صنایع الکترونیک، دوره 7، شماره 1، صص 11-18، 1395.
[12]       Z. Zuo, B. Yang, C. Yue, and D. Meng, “Study of Simulation Platform for BDS/INS/CNS Deep Integration Navigation,” Math. Probl. Eng., vol. 2020, 2020.
[13]       S. Winkler, “Observability of Star Tracker / Gyro Based Attitude Estimation Considering Time-Variant Sensor Misalignment BT - Advances in Aerospace Guidance, Navigation and Control,” in Advances in Aerospace Guidance, Navigation and Control, 2011, pp. 373–384.
[14]       S. Ranjbaran, A. Roudbari, and S. Ebadollahi, “A Simple and Fast Method for Field Calibration of Triaxial Gyroscope by Using Accelerometer,” J. Electr. Comput. Eng. Innov., vol. 6, no. 1, pp. 1–6, 2018.
[15]       M. A. Samaan, D. Mortari, and J. L. Junkins, “Compass star tracker for GPS-like applications,” IEEE Trans. Aerosp. Electron. Syst., vol. 44, no. 4, pp. 1629–1634, 2008.
[16]       G. Petit and B. Luzum, “IERS Technical Note No. 36, IERS Conventions 2010,” International Earth Rotation and Reference Systems Service, Frankfurt, 2010.