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The optimization of TRIAD

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MATERIAM SUPERABAT OPUS.2 Publius Ovidius Naso (43 BCE-17 CE) Metamorphoses Book II

Abstract

The optimized TRIAD algorithm of Bar-Itzhack and Harman, proposed in 1997 on the basis of insupportable premises, is shown to provide, nonetheless, the optimal solution of the Wahba problem to within terms on the order of the measurement variances. A careful rigorous derivation of the algorithm is presented as well as a comparison with the arguments of Bar-Itzhack and Harman. The algorithm is compared to a result of Markley’s.

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Authors and Affiliations

  1. Acme Spacecraft Company, 13017 Wisteria Drive, Box 328, Germantown, Maryland, 20874, USA

    Malcolm D. Shuster (Director of Research)

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  1. Malcolm D. Shuster
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Correspondence to Malcolm D. Shuster.

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Shuster, M.D. The optimization of TRIAD. J of Astronaut Sci 55, 245–257 (2007). https://doi.org/10.1007/BF03256523

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