Chaplygin ball in a solenoidal field

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Alexey Vladimirovich Borisov ◽  
Andrey Vladimirovich Tsiganov
Keyword(s):  
Chaplygin Ball ◽  
Solenoidal Field

scholarly journals Chaplygin ball over a fixed sphere: an explicit integration

2008 ◽  
Vol 13 (6) ◽  
pp. 557-571 ◽  
Author(s):  
A. V. Borisov ◽  
Yu. N. Fedorov ◽  
I. S. Mamaev
Keyword(s):  
Explicit Integration ◽  
Chaplygin Ball

scholarly journals Possible demonstration of ionization cooling using absorbers in a solenoidal field

1996 ◽  
Author(s):  
R. C. Fernow ◽  
J. C. Gallardo ◽  
H. G. Kirk ◽  
T. Kycia ◽  
Y. Y. Lee ◽  
...  
Keyword(s):  
Solenoidal Field

scholarly journals Old Inconsistency In Electromagnetism And A Way To Eliminate It

2018 ◽  
Vol 14 (1) ◽  
pp. 5193-5203
Author(s):  
Valerij Disan Petushchak
Keyword(s):  
Axial Vector ◽  
Magnetic Interaction ◽  
Electromagnetic Theory ◽  
Magnetic Interactions ◽  
Classical Electrodynamics ◽  
The Third ◽  
Correct Form ◽  
Correct Formula ◽  
Solenoidal Field ◽  
Micro Level

Classical electromagnetic theory uses axial pseudo-vectors to describe magnetic interactions. It is impossible to explain adequately magnetic interaction at the micro level (elements of conductors and the magnetic interactions of charges) by axial vectors. As a result, the correct form of interactions in classical electrodynamics is only an integral one. The differential formulas for magnetic interactions violate the third Newton’s law. In the paper, we use polar vectors (real physical vectors) to describe magnetic interactions. On this way, we show that the real physical magnetic field, in contrast to the solenoidal field of the axial vector magnetic induction B, has two components: a potential field with nonvanishing divergence and a solenoidal field with vanishing divergence. These two fields act separately and independently and have different models of interactions. Doing so, we can write differential form  for the Ampere’s law obtaining correct formula for the magnetic interactions and adequate interpretation of the Biot-Savart law.

BACKGROUNDS AT AN e-e- LINEAR COLLIDER

1998 ◽  
Vol 13 (14) ◽  
pp. 2467-2477
Author(s):  
T. W. MARKIEWICZ ◽  
T. MARUYAMA
Keyword(s):  
Linear Collider ◽  
Experimental Environment ◽  
Solenoidal Field

Background sources at a 1 TeV Linear Collider are discussed along with ideas on how to limit their effect on the detector. With modest shielding and an adequate solenoidal field, we find that detector backgrounds are minimal and that the experimental environment should be similar to that which one normally associates with e+e- colliders.

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