The problem of determining the body attitude in matrix form using the least-squares method is considered. A loss function that allows us to theoretically analyze the influence of the measurement errors on the accuracy of the attitude for an arbitrary number of vectors without the need for the mutual perpendicularity of the vectors. The proposed method allows us to use measurable quantities with weight coefficients.
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Translated from Prikladnaya Mekhanika, Vol. 56, No. 3, pp. 122–126, May–June 2020.
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Ryzhkov, L.M. Matrix Method for Determining the Body Attitude. Int Appl Mech 56, 367–371 (2020). https://doi.org/10.1007/s10778-020-01020-y
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DOI: https://doi.org/10.1007/s10778-020-01020-y