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Attitude Analysis in Flatland: The Plane Truth

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Abstract

Many results in attitude analysis are still meaningful when the attitude is restricted to rotations about a single axis. Such a picture corresponds to attitude analysis in the Euclidean plane. The present report formalizes the representation of attitude in the plane and applies it to some well-known problems in a two-dimensional setting. In particular we carry out a covariance of a two-dimensional analogue of the algorithm OLAE, recently proposed by Mortari, Markley, and Junkins for optimal attitude determination.

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Author information

Authors and Affiliations

  1. Acme Spacecraft Company, USA

    Malcolm D. Sinister (Director of Research, acting manager)

  2. Planecraft Division, 13017 Wisteria Drive, Box 328, Germantown, MD, 20874, USA

    Malcolm D. Sinister (Director of Research, acting manager)

Authors
  1. Malcolm D. Sinister
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Correspondence to Malcolm D. Sinister.

Additional information

Dedicated to John L. Junkins on the occasion of his sixtieth birthday.

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Sinister, M.D. Attitude Analysis in Flatland: The Plane Truth. J of Astronaut Sci 52, 195–209 (2004). https://doi.org/10.1007/BF03546428

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