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Simple Relations between Elements of the Three-Dimensional Orthogonal Matrix of the Basic Representation and Euler and RPY’ Angles

Author

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  • Hüseyin Önal

    (International Black Sea University)

Abstract

In this Article transformation angles of the methods of RPY (Roll, Pitch and Yaw) and Euler are found using Spinor method [Milnikov A.A., Prangishvili A.I., Rodonaia I.D. (2005) ], which The method is based on the principally new approach-spinor representation of the spatial generalized rotations. And provides easy, reliable and efficient way of solution of inverse kinematics problem of multijoints spherical manipulators.

Suggested Citation

  • Hüseyin Önal, 2008. "Simple Relations between Elements of the Three-Dimensional Orthogonal Matrix of the Basic Representation and Euler and RPY’ Angles," IBSU Scientific Journal, International Black Sea University, vol. 2(1), pages 187-192.
    • Handle: RePEc:ibl:journl:v:2:y:2008:i:1:p:187-192
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    Keywords

    RPY’ angles; Euler’s angles; spinors; rotations; and kinematics inverse problem;
    All these keywords.

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory

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