Results 11 to 20 of about 12,663 (185)
On Generalized Euler Angles [PDF]
, 2014 This paper first explores the generalization of Euler angles to the case in which the rotation axes are not necessarily members of an orthonormal triad, and presents a concise solution to their computation that relies on the calculation of standard Euler angles.
Aleix Rull, Federico Thomas
core +6 more sources
Journal of Mathematical Physics, 2005 We provide a simple coordinatization for the group G2, which is analogous to the Euler coordinatization for SU(2). We show how to obtain the general element of the group in a form emphasizing the structure of the fibration of G2 with fiber SO(4) and base H, the variety of quaternionic subalgebras of octonions.
Cacciatori, S +4 more
openaire +9 more sources
Generalization of the Euler Angles [PDF]
The Journal of the Astronautical Sciences, 2003 It is shown that the Euler angles can be generalized to axes other than members of an orthonormal triad. As first shown by Davenport, the three generalized Euler axes, hereafter: Davenport axes, must still satisfy the constraint that the first two and the last two axes be mutually perpendicular if these axes are to define a universal set of attitude ...
Malcolm D. Shuster, F. Landis Markley
openaire +3 more sources
Measurement of the Euler Angles of Wurtzitic ZnO by Raman Spectroscopy [PDF]
Journal of Spectroscopy, 2017 A Raman spectroscopy-based step-by-step measuring method of Euler angles φ,θ,and ψ was presented for the wurtzitic crystal orientation on a microscopic scale.
Wu Liu, Qiu Li, Gang Jin, Wei Qiu
doaj +2 more sources
Correction to the Euler Lagrange Multirotor Model with Euler Angles Generalized Coordinates [PDF]
Journal of Intelligent & Robotic SystemsAbstractThis technical note proves analytically how the exact equivalence of the Newton-Euler and Euler-Lagrange modeling formulations as applied to multirotor UAVs is achieved. This is done by deriving a correct Euler-Lagrange multirotor attitude dynamics model.
Simone Martini 0004 +4 more
openaire +4 more sources
Quaternion to Euler angles conversion: A direct, general and computationally efficient method. [PDF]
PLoS One, 2022 International audienceCurrent methods of the conversion between a rotation quaternion and Euler angles are either a complicated set of multiple sequence-specific implementations, or a complicated method relying on multiple matrix multiplications. In this
Bernardes E, Viollet S.
europepmc +2 more sources
Statistical properties of effective elastic moduli of random cubic polycrystals
Mechanics & Industry, 2023 The homogenized elastic properties of polycrystals depend on the grain morphology and crystallographic orientations. For simplification purposes, the orientations of the grains are usually considered three independent Euler angles.
Sheng Ningyue +3 more
doaj +1 more source
Quantum Euler angles and agency-dependent space-time
Progress of Theoretical and Experimental PhysicsAbstract 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 +5 more
openaire +5 more sources
EXPERIMENTAL COMPARISON BETWEEN MAHONEY AND COMPLEMENTARY SENSOR FUSION ALGORITHM FOR ATTITUDE DETERMINATION BY RAW SENSOR DATA OF XSENS IMU ON BUOY [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 The accurate measurement of platform orientation plays a critical role in a range of applications including marine, aerospace, robotics, navigation, human motion analysis, and machine interaction.
A. Jouybari +2 more
doaj +1 more source
Study on the estimation of Euler angles for Macau Science Satellite-1
Earth and Planetary Physics, 2023 The Euler angle estimation is a calibration method for vector data measured by the magnetometer on a satellite. It is used to find the relative rotation between the coordinate system of the magnetometer and the satellite (usually determined by Star ...
Qing Yan +4 more
doaj +1 more source