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The efficiency of methods of renewal of norm numeral decisions of quaternion of kinematics equalizations

Keywords:

A.V. Maximov – Ph. D. (Eng.), Associate Professor, Department «Compute systems and networks», Kaluga branch of the Bauman MSTU. E-mail: av_maximov@bk.ru
E.A. Maximova – Post-graduate Student, Assistant, Department «Compute systems and networks», Kaluga branch of the Bauman MSTU. E-mail: eam@mail333.com


In the numerical solution of the kinematic equations in quaternions specific error occurs – a violation of the norm of a quaternion final turn. The necessity of the valuation parameters of the quaternion. For this, three methods can be used. The effectiveness of these methods is demonstrated by solving a system of kinematic equations simple numerical methods: the method of rectangles and trapezoid method.
References:

  1. Branets V.N., Shmyglevskii I.P. The use of quaternions in problems of orientation of a rigid body. Moskau: Nauka. 1973.
  2. The inertial systems control. Algorithmic aspects. / Lebedev D.V., Tkachenko A.I.; Managing editor Kozorev V.V. Kiev: Naukova dumka. 1991. 208 s.

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