Article or book title, author's surname, DOI

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

A.V. Maximov1, E.A. Maximova2

research article Pages: 18-24

  1. 1 Ph. D. (Eng.), Associate Professor, Department «Compute systems and networks», Kaluga branch of the Bauman MSTU
  2. 2 Post-graduate Student, Assistant, Department «Compute systems and networks», Kaluga branch of the Bauman MSTU

Abstract

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.

How to cite

Максимов А.В., Максимова Е.А. Эффективность методов восстановления нормы численного решения кватернионных кинематических уравнений // Электромагнитные волны и электронные системы. 2014. № 10. С. 18–24.

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.