Results 11 to 20 of about 1,939,111 (241)
Correction to the Euler Lagrange Multirotor Model with Euler Angles Generalized Coordinates [PDF]
Journal of Intelligent & Robotic Systems, 2023 This 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 +4 more
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Journal of Mathematical Physics, 2005 We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization 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,
Alberto Della Vedova +7 more
core +7 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
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Libration points in the restricted three-body problem: Euler angles, existence and stability
Discrete and Continuous Dynamical Systems. Series A, 2019 The objective of the present paper is to study in an analytical way the existence and the stability of the libration points, in the restricted three-body problem, when the primaries are triaxial rigid bodies in the case of the Euler angles of the ...
H. Selim +2 more
semanticscholar +2 more sources
Measurement of the Euler Angles of Wurtzitic ZnO by Raman Spectroscopy
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
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Shuttle Program. Euler angles, quaternions, and transformation matrices working relationships [PDF]
, 1977 A brief mathematical development of the relationship between the Euler angles and the transformation matrix, the quaternion and the transformation matrix, and the Euler angles and the quaternion is presented.
David M. Henderson
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An Enhanced Dynamic Model of a Spatial Parallel Mechanism Receiving Direct Constraints from the Base at Two Point-Contact Higher Kinematic Pairs [PDF]
BiomimeticsIn this paper, a biologically congruent parallel mechanism (PM) inspired by the masticatory system of human beings has been proposed to recreate complete chewing behaviours in three-dimensional space.
Chen Cheng, Xiaojing Yuan, Yenan Li
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Variations on the theme Euler angles [PDF]
Surveys in Mathematics and its Applications, 2019 We discuss different parameterizations of the Lie group SO(3). The well-known Rodrigues formula describes the three dimensional orthogonal matrices in terms of their axes and angles of rotation.
Clementina D. Mladenova +1 more
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Application of Krylov–Bogoliubov–Mitropolski method to asymmetric gyrostatic 3D motion in multi-fields [PDF]
Scientific ReportsThe 3D rotary movement of an asymmetric rigid body (RB) in space around a fixed point is investigated. A gyrostatic torque (GT), a magnetic field (MF), and a Newtonian force field (NFF) all have an impact on the RB’s ability to rotate.
T. S. Amer +2 more
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Wigner rotation and Euler angle parametrization
American Journal of Physics, 2022 Analogous to the famous Euler angle parametrization in three-dimensional Euclidean space, a reflection-free Lorentz transformation in (2 + 1)-dimensional Minkowski space can be decomposed into three simple parts. Applying this decomposition to the Wigner rotation problem, we are able to show that the related mathematics becomes much simpler and the ...
Leehwa Yeh
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