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Switching Principles to Circumvent Euler Angle Singularity
AIAA/AAS Astrodynamics Specialist Conference, 2010In this paper, the singularity associated with a minimal attitude parameterization using Euler angles is circumvented by recently developed switching principles. These principles are based on describing the attitude as a function of time with two sets of Euler angle sequences that possess nonconjunctive singularities.
Mohamed Okasha, Brett Newman
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General Formula for Extracting the Euler Angles
Journal of Guidance, Control, and Dynamics, 2006Introduction R ECENTLY, the authors completed a study1 of the Davenport angles, which are a generalization of the Euler angles for which the initial and final Euler axes need not be either mutually parallel or mutually perpendicular or even along the coordinate axes.
Malcolm D. Shuster, F. Landis Markley
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More applications of Euler rotation angles
IEEE Antennas and Propagation Magazine, 1999Discusses various uses of rotation matrices. The author has used rotation matrices to find the patterns with elements in a conformal array that requires one to rotate not only the direction, but the polarization directions, as well. A second useful thing to do with rotation matrices is to analytically rotate objects in space.
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Classroom Attention Analysis Based on Multiple Euler Angles Constraint and Head Pose Estimation
Conference on Multimedia Modeling, 2020Xin Xu, X. Teng
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Euler angles, direction cosines, and angular momentum
American Journal of Physics, 1981The line of nodes en for the Euler angles (φ, ϑ, χ) is orthogonal to the plane of the two z axes e°z and ez. In the present paper we introduce two vectors, f°z and fz, in the plane of the z axes such that the set (f°z, en, fz) is biorthogonal to (e°z, en, ez).
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On the Euler angles for infinitesimal rotations
European Journal of Physics, 2000Summary: We find the Euler angles \((a,b,c)\) connecting two Cartesian frames which are rotated infinitesimally (in the most general sense) with respect to each other. It is pointed out that while \(a+c\) and \(b\) are first-order small quantities, the angles \(a\) and \(c\) should be of order unity.
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Resolution of Functional Redundancy for 3T2R Robot Tasks using Two Sets of Reciprocal Euler Angles
Advances in Mechanism and Machine Science, 2019Moritz Schappler, S. Tappe, T. Ortmaier
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Designing the platform for monitoring and visualization orientation in Euler angles
IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, 2017Artem D. Karpov, A. Zhilenkov
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