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1 results

  • 5 - Converting Vector Coordinates Across Bases

  • Don Koks
  • Book:
    Rotation Sequences and the Theory of Vectors and Coordinates
    Published online:
    17 April 2025
    Print publication:
    24 April 2025, pp 106-136

  • Summary

    This chapter begins the proper study of the closely related subjects of how to transform vector coordinates across bases, and how to quantify vehicle attitude. The direction-cosine matrix appears, and I discuss its properties. I then cover several in-depth examples of using it to describe aircraft attitude. Transforming coordinates leads to a discussion of the meaning of position, which serves to introduce homogeneous coordinates. I end with an example of calculating the motion of a ship.