Results 201 to 210 of about 38,112 (227)

The Application of Quaternion Algebra to Gyroscopic Motion, Navigation, and Guidance

45th AIAA Aerospace Sciences Meeting and Exhibit, 2005
Currently, many six degree of freedom (6-DOF) trajectory simulations and simulations of gyroscopic motion use quaternions to define a vehicle’s orientation. Of those that do, however, none take full advantage of the properties of quaternion algebra. Quaternions are also known as hypercomplex numbers.
George Davailus, Brett Newman
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The Motion of a Gyroscope Mounted in Gimbals

2000
Equations of motion of an astatic gyroscope mounted in gimbals in presence of a viscous friction in the gimbals axes have the form [33] $$\left[ {{A_2} + (A + {A_1}){{\cos }^2}\beta + {C_1}} \right]\frac{{{d^2}\alpha }}{{d{T^2}}} + ({C_1} - A - {A_1})\sin (2\beta )\frac{{d\alpha }}{{dT}}\frac{{d\beta }}{{dT}} + H\cos \beta \frac{{d\beta }}{{dT}} + {
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Asymptotic properties of the motions of a heavy gyroscope with internal dissipation

Journal of Applied Mathematics and Mechanics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aduyenko, A. A., Amelkin, N. I.
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Generalized distance functions of Riemannian manifolds and the motions of gyroscopic systems

Siberian Mathematical Journal, 2008
Summary: We use the homology groups of the path space of an arbitrary Riemannian manifold to define some analogs of the distance function and study their main properties. For the natural systems with gyroscopic forces we prove an existence theorem for solutions to the two-point boundary value problem, which complements the results of [\textit{E.
Ershov, Yu. V., Yakovlev, E. I.
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Asymptotic properties of the solutions of the equations of motion of gyroscopic systems

Journal of Applied Mathematics and Mechanics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the stability of motion of a heavy gyroscope on gimbals

Journal of Applied Mathematics and Mechanics, 1960
Abstract Chetaev [1] has investigated the motion of a heavy unbalanced gyroscope on gimbals with the vertical axis of the outer ring. The stability of certain stationary solutions of such a motion has been investigated by Skimel [2], Magnus [3] and Rumiantsev [4].
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On the motion of gyroscopic devices under the influence of random forces

Journal of Applied Mathematics and Mechanics, 1960
Abstract The motion of gyroscopic devices under ship's rolling coniditions was usually considered assuming the roll sinusoidal. The works of Sveshnikov [1] showed that the rolling motion of a ship can be considered a stationary random process, and obtained the correlation function and spectral density for this process. The motion of some ship devices
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Constrained Motion Approach to the Synchronization of the Multiple Coupled Slave Gyroscopes

Journal of Aerospace Engineering, 2013
AbstractA set of n gyroscopes are coupled to form a system of slave gyroscopes. A simple approach is developed for synchronizing the motion of these slave gyroscopes whose individual motion may be regular or chaotic, with the motion of an independent master gyroscope irrespective of the chaotic or regular motion exhibited by the master.
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Approximate Gyroscope Theory and Its Applications to the Motion of Space Objects

Doklady Mathematics
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Control of the motion of a contactless gyroscope

Soviet Applied Mechanics, 1990
Komarov, V. N., Urman, Yu. M.
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