Orientation and kinematics of rotation: quaternionic and four-dimensional skew-symmetric operators, equations, and algorithms

DOI10.3103/S0025654422080106OpenAlexW4360996361MaRDI QIDQ2695894

Yu. N. Chelnokov

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654422080106

zbMATH Keywords

Euler parametersCayley formulaexponential representation of orthogonal operatorHamilton rotation quaternionorientation algorithm

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Kinematics of a rigid body (70B10)

Cites Work

• Principal rotation representations of proper \(N\times N\) orthogonal matrices
• Kinematic equations of a rigid body in four-dimensional skew-symmetric operators and their application in inertial navigation
• A preferred coordinate system and the associated orientation representation in attitude dynamics
• Strapdown Inertial Navigation Integration Algorithm Design Part 1: Attitude Algorithms
• New Penalty Functions and Optimal Control Formulation for Spacecraft Attitude Control Problems
• Higher-Order Cayley Transforms with Applications to Attitude Representations
• On the Parametrization of the Three-Dimensional Rotation Group
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