Explicit equations from orbit reduction: one and two stages

It is known that orbit reduction can be performed in one or two stages and it has been proven that the two processes are symplectically equivalent. In the context of orbit reduction by one stage we shall write an expression for the reduced two-form in the general case and obtain the equations of mot...

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Autores principales: Díaz, Viviana Alejandra, Zuccalli, Marcela
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Matemática
Orbit reduction
Equations
Two stages
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129310
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129310
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Orbit reduction
Equations
Two stages
spellingShingle Matemática
Orbit reduction
Equations
Two stages
Díaz, Viviana Alejandra
Zuccalli, Marcela
Explicit equations from orbit reduction: one and two stages
topic_facet Matemática
Orbit reduction
Equations
Two stages
description It is known that orbit reduction can be performed in one or two stages and it has been proven that the two processes are symplectically equivalent. In the context of orbit reduction by one stage we shall write an expression for the reduced two-form in the general case and obtain the equations of motion derived from this theory. Then we shall develop the same process in the case in which the symmetry group has a normal subgroup to get the reduced symplectic form by two stages and the consequent orbit reduced equations. In both cases we shall illustrate the method with the example of a rigid body with rotors and compare the obtained equations with the ones given by other authors in different frameworks.
format Articulo
Preprint
author Díaz, Viviana Alejandra
Zuccalli, Marcela
author_facet Díaz, Viviana Alejandra
Zuccalli, Marcela
author_sort Díaz, Viviana Alejandra
title Explicit equations from orbit reduction: one and two stages
title_short Explicit equations from orbit reduction: one and two stages
title_full Explicit equations from orbit reduction: one and two stages
title_fullStr Explicit equations from orbit reduction: one and two stages
title_full_unstemmed Explicit equations from orbit reduction: one and two stages
title_sort explicit equations from orbit reduction: one and two stages
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/129310
work_keys_str_mv AT diazvivianaalejandra explicitequationsfromorbitreductiononeandtwostages
AT zuccallimarcela explicitequationsfromorbitreductiononeandtwostages
bdutipo_str Repositorios
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