Results 151 to 160 of about 12,663 (185)
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Relativistic spin and Euler angles
Annals of Physics, 1966Abstract 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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Error analysis of Euler angle transformations
Guidance and Control Conference, 1972Error 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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IEEE Transactions on Automatic Control, 1966
The definition of sets of Euler angles is discussed and a useful tool for treating the mathematics associated with Euler angles is illustrated. Restricting attention to right-handed coordinate systems and positive rotations, twelve distinct but equivalent sets of Euler angles are partitioned into two subsets.
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The definition of sets of Euler angles is discussed and a useful tool for treating the mathematics associated with Euler angles is illustrated. Restricting attention to right-handed coordinate systems and positive rotations, twelve distinct but equivalent sets of Euler angles are partitioned into two subsets.
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Rail Geometry and Euler Angles
Rail Transportation, 2006In railroad vehicle dynamics, Euler angles are often used to describe the track geometry (track centerline and rail space curves). The tangent and curvature vectors as well as local geometric properties such as the curvature and torsion can be expressed in terms of Euler angles.
Cheta Rathod, Ahmed A. Shabana
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A Solution to the Euler Angle Transformation Equations
IEEE Transactions on Electronic Computers, 1960As simulation studies grow more elaborate and complex, the computer operator is confronted with an ever increasing number of problems not directly associated with the study at hand. This paper describes a specially designed computer for solving the coordinate transformation equations normally encountered in a six degree of freedom simulation study ...
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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 +2 more
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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 +2 more
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The rotation number and the herpolhode angle in Euler?s top
Zeitschrift f�r angewandte Mathematik und Physik, 2005The authors describe the relation between the rotation number and the herpolhode angle in the rotation of the force-free rigid body.
Bates, L., Cushman, R.H., Savev, E.
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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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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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A Classical View of the Euler Angles and the Euler Kinematic Equations in NMR
Journal of Magnetic Resonance, Series A, 1995Abstract The link between spin kinematics and rigid-body kinematics made evident in the recently proposed rotation-operator approach is considered here using a classical picture of spin precession. This link is discussed using both the rotation angle/axis {Φ,n} and the Euler angle {α, β, γ} parametrizations of rotations.
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