Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics
Characterizing the dynamics of heavy symmetric tops is essential in several fields of theoretical and applied physics. Accordingly, a series of approaches have been developed to describe their motion. In this paper, we present a derivation based on elementary geometric considerations carried out in...
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2020-12-01
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Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2020.584294/full |
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doaj-68864785f43d4895a69680589c629bc52020-12-24T10:36:51ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-12-01810.3389/fphy.2020.584294584294Analyzing the Motion of Symmetric Tops Without Recurring to Analytical MechanicsZsolt I. Lázár0Antal Jakovác1Péter Hantz2Péter Hantz3Faculty of Physics, Babes-Bolyai University, Cluj–Napoca, RomaniaWigner Research Centre for Physics, Budapest, HungaryCentre for Ecological Research, Budapest, HungaryFibervar LLC., Cluj–Napoca / Kolozsvár, RomaniaCharacterizing the dynamics of heavy symmetric tops is essential in several fields of theoretical and applied physics. Accordingly, a series of approaches have been developed to describe their motion. In this paper, we present a derivation based on elementary geometric considerations carried out in the laboratory frame. Our framework enabled the simple derivation of the equation of motion for small nutations. The introduced formalism is also employed to determine the alteration of the dynamics of heavy, symmetric, spinning tops in a rotating force field, that is compared to the precession characteristics of a quantum magnetic dipole in rotating magnetic field.https://www.frontiersin.org/articles/10.3389/fphy.2020.584294/fullspinning topprecessiongeometric interpretationsmall nutationsrotating force fields |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zsolt I. Lázár Antal Jakovác Péter Hantz Péter Hantz |
spellingShingle |
Zsolt I. Lázár Antal Jakovác Péter Hantz Péter Hantz Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics Frontiers in Physics spinning top precession geometric interpretation small nutations rotating force fields |
author_facet |
Zsolt I. Lázár Antal Jakovác Péter Hantz Péter Hantz |
author_sort |
Zsolt I. Lázár |
title |
Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics |
title_short |
Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics |
title_full |
Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics |
title_fullStr |
Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics |
title_full_unstemmed |
Analyzing the Motion of Symmetric Tops Without Recurring to Analytical Mechanics |
title_sort |
analyzing the motion of symmetric tops without recurring to analytical mechanics |
publisher |
Frontiers Media S.A. |
series |
Frontiers in Physics |
issn |
2296-424X |
publishDate |
2020-12-01 |
description |
Characterizing the dynamics of heavy symmetric tops is essential in several fields of theoretical and applied physics. Accordingly, a series of approaches have been developed to describe their motion. In this paper, we present a derivation based on elementary geometric considerations carried out in the laboratory frame. Our framework enabled the simple derivation of the equation of motion for small nutations. The introduced formalism is also employed to determine the alteration of the dynamics of heavy, symmetric, spinning tops in a rotating force field, that is compared to the precession characteristics of a quantum magnetic dipole in rotating magnetic field. |
topic |
spinning top precession geometric interpretation small nutations rotating force fields |
url |
https://www.frontiersin.org/articles/10.3389/fphy.2020.584294/full |
work_keys_str_mv |
AT zsoltilazar analyzingthemotionofsymmetrictopswithoutrecurringtoanalyticalmechanics AT antaljakovac analyzingthemotionofsymmetrictopswithoutrecurringtoanalyticalmechanics AT peterhantz analyzingthemotionofsymmetrictopswithoutrecurringtoanalyticalmechanics AT peterhantz analyzingthemotionofsymmetrictopswithoutrecurringtoanalyticalmechanics |
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1724371987564855296 |