scholarly journals An exact derivation of the Thomas precession rate using the Lorentz transformation

2020 ◽  
Author(s):  
Masud Mansuripur
Keyword(s):  
Lorentz Transformation ◽  
Thomas Precession ◽  
Precession Rate ◽  
Exact Derivation

scholarly journals Derivation of a general lorentz transformation without rotation

1969 ◽  
Vol 10 (1-2) ◽  
pp. 141-144
Author(s):  
A. H. Klotz
Keyword(s):  
Lorentz Transformation ◽  
Lorentz Transformations ◽  
Thomas Precession

An elementary, purely algebraic derivation of the most general Lorentz transformations without spacial rotation and of the Thomas precession is given.

Reexamining the Thomas precession

2020 ◽  
Author(s):  
Marcelo Carvalho
Keyword(s):  
Lorentz Transformation ◽  
Essential Elements ◽  
The State ◽  
Lorentz Transformations ◽  
Exact Form ◽  
Physical Consequence ◽  
Thomas Precession ◽  
Thomas Rotation ◽  
Inertial Frames ◽  
Axis Parallel

We review the Thomas precession exhibiting the exact form of the Thomas rotation in the axis-angle parameterization. Assuming three inertial frames S, S', S'' moving with arbitrary velocities and with S, S'' having their axis parallel to the axis of S' we focus our attention on the two essential elements of the Thomas precession: (i) there is a rotation between the axis of frames S, S'' and (ii) the combination of two Lorentz transformations from S to S' and from S' to S'' fails to produce a pure Lorentz transformation from S to S''. The physical consequence of (i) and (ii) refers to the impossibility of arbitrary frames S, S', S'' moving with non-paralell relative velocities have their axis mutually parallel. Then, we reexamine the validity of (i) and (ii) under the conjecture that time depends on the state of motion of the frames and we show that the Thomas precession assumes a different form as formulated in (i) and (ii).

Mars precession rate determined from radiometric tracking of the InSight Lander

2021 ◽  
Vol 199 ◽  
pp. 105208 ◽  
Author(s):  
Daniel S. Kahan ◽  
William M. Folkner ◽  
Dustin R. Buccino ◽  
Véronique Dehant ◽  
Sébastien Le Maistre ◽  
...  
Keyword(s):  
Precession Rate

On Tachyon Lorentz Transformation

1969 ◽  
Vol 37 (12) ◽  
pp. 1281-1281 ◽  
Author(s):  
K. H. Mariwalla
Keyword(s):  
Lorentz Transformation

Upper bounds on the energy dissipation in turbulent precession

1996 ◽  
Vol 321 ◽  
pp. 335-370 ◽  
Author(s):  
R. R. Kerswell
Keyword(s):  
Experimental Data ◽  
Energy Dissipation ◽  
Viscous Dissipation ◽  
Upper Bound ◽  
Dissipation Rate ◽  
Oblate Spheroid ◽  
Upper Bounds ◽  
Precession Rate ◽  
Long Cylinder

Rigorous upper bounds on the viscous dissipation rate are identified for two commonly studied precessing fluid-filled configurations: an oblate spheroid and a long cylinder. The latter represents an interesting new application of the upper-bounding techniques developed by Howard and Busse. A novel ‘background’ method recently introduced by Doering & Constantin is also used to deduce in both instances an upper bound which is independent of the fluid's viscosity and the forcing precession rate. Experimental data provide some evidence that the observed viscous dissipation rate mirrors this behaviour at sufficiently high precessional forcing. Implications are then discussed for the Earth's precessional response.

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