Abstract
Airborne one-point to multiple-point laser communication terminal is an important node in laser communication networking. In order to meet the requirements of miniaturization and lightweight of the optical transceivers, we simplify several gyroscopes of the optical transceiver and shared the strapdown stable information with only one gyroscope. According to the position relationship between mirrors on the optical transceiver, we establish a series of new mirror coordinate systems. Based on these coordinate systems, we extend the application of the concepts of projection transformation and Euler angle, and supply the mathematical model of attitude stability of multi-mirror with single gyro. In the process of deducing the mathematical model, we notice that the arc tangent function can only solve the function values in the range of (\(-\,90^{\circ }, 90^{\circ }\)), but can not satisfy the full-cycle motion calculation of yaw attitude. Through the analysis of the elements in the attitude transformation matrix, we found the model modification methods of mirrors in different positions, which can expand the range of yaw attitude calculation. We simulate four mirrors mounted at \(0^{\circ }\), \(90^{\circ }\), \(180^{\circ }\) and \(-90^{\circ }\) positions of the optical transceiver and give the calculation curves of yaw attitude. The results show that the maximum calculation range of the yaw attitude of each mirror is \((-\,90^{\circ },90^{\circ })\) before adopting the modification methods. As the pitch attitude decreases, the calculation range also shrink. After adopting the modification methods, the calculation range is increased to \((0^{\circ },360^{\circ })\). The mathematical model and modification methods provide theoretical support for multi-attitude stabilization system with single gyro and greatly reduce the burden of airplane.
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Acknowledgements
This paper was supported by the Joint Funds of the National Natural Science Foundation of China, Grant No. U2141231, and Science and Technology Research Project of Education Department of Jilin Province, No. JJKH20210836KJ.
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Wang, L., Zhang, L., Meng, L. et al. A study of modeling method of strapdown stable attitude in laser communication networking. Opt Rev 30, 190–198 (2023). https://doi.org/10.1007/s10043-023-00799-8
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DOI: https://doi.org/10.1007/s10043-023-00799-8