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Dot Product Equality Constrained Attitude Determination from Two Vector Observations: Theory and Astronautical Applications

by Jin Wu 1 and Shangqiu Shan 2,*
1
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China
2
Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, China
*
Author to whom correspondence should be addressed.
Aerospace 2019, 6(9), 102; https://doi.org/10.3390/aerospace6090102
Received: 4 July 2019 / Revised: 6 September 2019 / Accepted: 9 September 2019 / Published: 12 September 2019
(This article belongs to the Special Issue Spacecraft Attitude Determination and Control)
In this paper, the attitude determination problem from two vector observations is revisited, incorporating the redundant equality constraint obtained by the dot product of vector observations. Analytical solutions to this constrained attitude determination problem are derived. It is found out that the studied two-vector attitude determination problem by Davenport q-method under the dot product constraint has deterministic maximum eigenvalue, which leads to its advantage in error/perturbation analysis and covariance determination. The proposed dot product constrained two-vector attitude solution is applied then to solve several engineering problems. Detailed simulations on spacecrafts attitude determination indicate the efficiency of the proposed theory. View Full-Text
Keywords: attitude determination; redundant reference information; vector observations; equality constraint; eigenvalue problem attitude determination; redundant reference information; vector observations; equality constraint; eigenvalue problem
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Wu, J.; Shan, S. Dot Product Equality Constrained Attitude Determination from Two Vector Observations: Theory and Astronautical Applications. Aerospace 2019, 6, 102.

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