Results 251 to 260 of about 2,182,834 (296)

Relativistic spin and Euler angles

Annals of Physics, 1966
Abstract The Bargmann-Wigner equations for particles of mass m ≠ 0 and spin s ≠ 0 are derived from a set of equations involving differential operators only. To this aim, an expansion of the wave function with respect to a suitable set of functions of Euler angles is utilized.
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Performing Euler angle rotations in cad systems

Computer-Aided Design, 1995
The elementary result of this note can be extended and proved as follows. Let \(A\), \(B\) be the matrix representations of two linear transformations acting on a space \(V\) relative to a frame \(e\). Then the representation of the map of \(B\) in the frame \(Ae\) is \(B'= A^{-1} BA\). Hence, \(AB'= BA\). By induction, let \(A_ i'= (A_ 1\cdots A_{i-1})
Lee, Y. T., Koh, A. S.
openaire   +2 more sources

Euler-Angle-Joints (EAJs)

2012
As frequently noted in the literature on robotics (Sugihara et al. 2002; Kurazume et al. 2003; Vukobratovic et al. 2007; Kwon and Park 2009) and mechanisms (Duffy 1978; Chaudhary and Saha 2007), a higher Degrees-of-Freedom (DOF) joint, say, a universal, a cylindrical or a spherical joint, can be represented using a combination of several intersecting 1-
Suril Vijaykumar Shah, Subir Kumar Saha, Jayanta Kumar Dutt   +2 more
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Error analysis of Euler angle transformations

Guidance and Control Conference, 1972
Error analyses of Euler angle transformations arise in the design of precision pointing systems, guidance systems and other systems containing gimbals. The generalized problem, including nonorthogonality of nominally orthogonal coordinate axes as well as errors in the Euler angles, is treated.
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Correction to: Review study of using Euler angles and Euler parameters in multibody modeling of spatial holonomic and non-holonomic systems

International Journal of Dynamics and Control, 2022
Q. Bai, M. Shehata
semanticscholar   +2 more sources

Euler's parallel oblique-angled diameters

The Mathematical Gazette, 2011
In the paper [1], Euler was examining properties of the conic sections that could be shared by more general curves. Most of the paper is concerned with ‘oblique-angle diameters’, a concept that seems to have been familiar to his readers in the eighteenth century, but has been ignored today.
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Design of an analytical fault tolerant attitude determination system using Euler angles and rotation matrices for a three-axis satellite

, 2014
This article presents a fault tolerant attitude determination system for a three-axis satellite including a sun sensor and a magnetometer. The suggested methodology is developed based on all possible rotations between reference and body frames and ...
H. Bolandi, M. Abedi, S. Nasrollahi
semanticscholar   +1 more source

Optimum determination of Euler Angles

Studia Geophysica et Geodaetica, 1975
У 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, 1999
Abstract 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, F. Thouverez, J. P. Laine, L. Jezequel   +3 more
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Euler angles and numerical representation of the railroad track geometry

Acta Mechanica, 2021
Hao Ling, A. Shabana
semanticscholar   +1 more source