Results 81 to 90 of about 1,939,111 (241)

An Analytical Study of Euler Angle and Rodrigues Parameter Representations of So(3) Towards Describing Subsets of So(3) Geometrically and Establishing the Relations between These

, 2023
Bibekananda Patra, Sandipan Bandyopadhyay   +1 more
openalex   +1 more source

Orientlib: An R Package for Orientation Data

Journal of Statistical Software, 2003
Orientlib is an R package to facilitate working with orientation data, i.e. elements of S O(3). It provides automatic translation between different representations of orientations, including rotation matrices, quaternions, Euler angles and skew-symmetric
Duncan Murdoch
doaj   +1 more source

Analysis of conditions for operating the S193 Rad/Scat in the solar pointing mode [PDF]

The S193 Rad/Scat, although initially programmed for operating in the earth pointing mode, can be operated in the solar pointing mode as well. The usual coordinate systems for describing the S193 in orbit are defined.
Pintar, J., Sobti, A.
core   +1 more source

A Method for Fast Diagonalization of a 2x2 or 3x3 Real Symmetric Matrix [PDF]

, 2015
A method is presented for fast diagonalization of a 2x2 or 3x3 real symmetric matrix, that is determination of its eigenvalues and eigenvectors. The Euler angles of the eigenvectors are computed.
Kronenburg, M. J.
core  

Parametrizing Clifford Algebras’ Matrix Generators with Euler Angles

Advances in Applied Clifford Algebras
A parametrization, given by the Euler angles, of Hermitian matrix generators of even and odd-degenerate Clifford algebras is constructed by means of the Kronecker product of a parametrized version of Pauli matrices and by the identification of all possible anticommutation sets for a given algebra.
Manuel Beato Vásquez, Melvin Arias Polanco   +1 more
openaire   +2 more sources

Quantum Euler angles and agency-dependent space-time

Progress of Theoretical and Experimental Physics
Abstract Quantum gravity is expected to introduce quantum aspects into the description of reference frames. Here we begin exploring how quantum gravity induced deformations of classical symmetries could modify the transformation laws among reference frames in an effective regime.
G Amelino-Camelia, V D’Esposito, G Fabiano, D Frattulillo, P A Höhn, F Mercati   +5 more
openaire   +4 more sources

Generalized Euler Angles Viewed as Spherical Coordinates

Geometry, Integrability and Quantization, 2017
Here we develop a specific factorization technique for rotations in $\mathbb{R}^3$ into five factors about two or three fixed axes. Although not always providing the most efficient solution, the method allows for avoiding gimbal lock singularities and decouples the dependence on the invariant axis ${\bf n}$ and the angle $\phi$ of the compound rotation.
Brezov, Danail S., Mladenova, Clementina D., Mladenov, Ivaïlo M.   +2 more
openaire   +2 more sources

Advanced quaternion forward kinematics algorithm including overview of different methods for robot kinematics [PDF]

FME Transactions, 2014
Formulation of proper and efficient algorithms for robot kinematics is essential for the analysis and design of serial manipulators. Kinematic modeling of manipulators is most often performed in Cartesian space.
Vidaković Jelena Z., Lazarević Mihailo P., Kvrgić Vladimir M., Dančuo Zorana Z., Ferenc Goran Z.   +4 more
doaj  

Direct inversion of rigid-body rotational dynamics [PDF]

The global linearization (inversion) of rigid-body rotational dynamics is reviewed and representations in terms of quaternions and direction cosines are compared.
Bach, Ralph, Paielli, Russell
core   +1 more source

Application of Navier-Stokes analysis to stall flutter [PDF]

A solution procedure was developed to investigate the two-dimensional, one- or two-dimensional flutter characteristics of arbitrary airfoils. This procedure requires a simultaneous integration in time of the solid and fluid equations of motion. The fluid
Sankar, L. N., Srivastava, R., Wu, J. C.
core   +1 more source