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Triad method

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The Triad Method is a method for calculating the inclination of an object based on two known vectors in relation to that object's axis system[1].It was developed in 1964 and first publisehd in the Journal of the American Institute of Aeronautics and Astronautics.

Explanation

The triad method is in essence a change of basis where a cross product based on the two existing vectors produces a new vector orthogonal to the existing ones, then a 2nd cross product operation produces the 3rd vector thus providing a new 3-axis system which can be used to build a rotation matrix.


References

  1. ^ 1. Harold D. Black. A passive system for determining the attitude of a satellite. American Institute of Aeronautics and Astronautics Journal, 2(7):1350–1351, July 1964.