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Algorithms of increasing the calculation accuracy for an aircraft’s orientation angle

Algorithms for calculating an aircraft’s orientation angles based on the results of the numerical integration of Poisson’s and quaternion equations are proposed. The algorithms in the presence of random errors of the matrix elements of direction cosines and quaternions are characterized by a signifi...

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Bibliographic Details
Published in:Journal of computer & systems sciences international 2016, Vol.55 (1), p.150-161
Main Authors: Bulgakov, V. V., Korsun, O. N., Kulabukhov, V. S., Stulovskii, A. V., Timofeev, D. S.
Format: Article
Language:English
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Summary:Algorithms for calculating an aircraft’s orientation angles based on the results of the numerical integration of Poisson’s and quaternion equations are proposed. The algorithms in the presence of random errors of the matrix elements of direction cosines and quaternions are characterized by a significantly higher accuracy in comparison to the formulas for solving the formulated problem. The results of testing the mathematical modeling data under random errors, which confirm the increased accuracy of the calculation of the orientation angles, are given.
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230715050032