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Optimum determination of Euler Angles
Studia Geophysica et Geodaetica, 1975У лы Эŭлерa мо уm быmь в общем оnре¶rt;елены мuнuмaльно ¶rt;вумя рaзнымu нanрaвленuямu нa земноŭ nоверхносmu в nре¶rt;nоложенuu, чmо онu ¶rt;aны кaк в ео¶rt;езuческоŭ референц-сuсmеме, maк u в aсmрономuческоŭ сuсmеме коор¶rt;uнam. Нa nрaкmuке uсnользуюm больще чем ¶rt;вa нanрaвленuя, nрuчем нaблю¶rt;енuя мо уm быmь ор aнuзовaны nо ...
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A Large Displacement Formulation Using Euler’s Angles
Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise, 1999Abstract The goal of this paper is to present a flexible multi-body formulation involving large displacements. This method is based on a separate discretisation of the kinetic and the internal energies. To introduce flexibility, we discretize the structure in elements (of two nodes): on each element of the beam discretisation, the local ...
G. Biakeu +3 more
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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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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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