GEOMETRIC ALGEBRA WITH DIFFERENTIAL EQUATION USING ROTATION VECTOR

Volume 18 No 4 (2020)

Dr. Kuruva Maddileti

DOI: 10.48047/nq.2020.18.4.NQ20160

Abstract

Geometric Algebra (GA) is a powerful mathematical language for expressing physical ideas. It unifies many diverse mathematical formalisms and aids physical intuition. In our various publications and lectures will find many examples of the insights that geometric algebra brings to problems in physics and engineering. The rotation vector differential equation is vital to the attitude algorithm in the modern strapdown inertial navigation system. A substitutive derivation of the rotation vector differential equation in Geometric Algebra (GA) form is provided by utilizing the kinematic equation of rotors. The GA form of the equation inherits the simplicity and efficiency of the vector form. Hence, this model gives better results interms of efficiency and accuracy.

Keywords

Inertial Navigation, Computational Modeling, Graphical Models, Rotors, Vector

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