Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1742-6596/1365/1/012015 http://hdl.handle.net/11449/198287 |
Resumo: | The present work presents a test of two Hamiltonians that produce integrable models recently proposed to study the roto-orbital motion of an axisymmetric rigid body in motion under a central gravitational field. The dynamics assumed here is approached by the motion of an axisymmetric rigid body orbiting another massive spherical one. Based on the concept of intermediary, both models are treated in Hamiltonian formalism, as perturbation of the Keplerian-Eulerian motion, using canonical variables associated to the total angular momentum. An analysis of parameters introduced to visualize possible different applications are made, in this case with special focus in binary asteroid type dynamics. The parameters space analysis present comparisons of two recently proposed intermediaries with respect to the original non-analytically integrable model and with respect to each other. In conclusion, both models behave well in regions of the parameters space where they were proposed to be valid. |
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Repositório Institucional da UNESP |
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spelling |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid bodyThe present work presents a test of two Hamiltonians that produce integrable models recently proposed to study the roto-orbital motion of an axisymmetric rigid body in motion under a central gravitational field. The dynamics assumed here is approached by the motion of an axisymmetric rigid body orbiting another massive spherical one. Based on the concept of intermediary, both models are treated in Hamiltonian formalism, as perturbation of the Keplerian-Eulerian motion, using canonical variables associated to the total angular momentum. An analysis of parameters introduced to visualize possible different applications are made, in this case with special focus in binary asteroid type dynamics. The parameters space analysis present comparisons of two recently proposed intermediaries with respect to the original non-analytically integrable model and with respect to each other. In conclusion, both models behave well in regions of the parameters space where they were proposed to be valid.Asher Space Research Institute Technion Israel Institute of TechnologyDept of Physics UNESP São Paulo State UniversitySpace Mechanics and Control Division INPE National Institute for Space ResearchDept of Physics UNESP São Paulo State UniversityIsrael Institute of TechnologyUniversidade Estadual Paulista (Unesp)National Institute for Space ResearchDos Santos, Josué Cardoso [UNESP]2020-12-12T01:08:39Z2020-12-12T01:08:39Z2019-11-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1088/1742-6596/1365/1/012015Journal of Physics: Conference Series, v. 1365, n. 1, 2019.1742-65961742-6588http://hdl.handle.net/11449/19828710.1088/1742-6596/1365/1/0120152-s2.0-85076568965Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccess2021-10-23T10:11:29Zoai:repositorio.unesp.br:11449/198287Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T10:11:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
title |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
spellingShingle |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body Dos Santos, Josué Cardoso [UNESP] |
title_short |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
title_full |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
title_fullStr |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
title_full_unstemmed |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
title_sort |
Simple parameters spaces analysis of roto-orbital integrable Hamiltonians for an axisymmetric rigid body |
author |
Dos Santos, Josué Cardoso [UNESP] |
author_facet |
Dos Santos, Josué Cardoso [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Israel Institute of Technology Universidade Estadual Paulista (Unesp) National Institute for Space Research |
dc.contributor.author.fl_str_mv |
Dos Santos, Josué Cardoso [UNESP] |
description |
The present work presents a test of two Hamiltonians that produce integrable models recently proposed to study the roto-orbital motion of an axisymmetric rigid body in motion under a central gravitational field. The dynamics assumed here is approached by the motion of an axisymmetric rigid body orbiting another massive spherical one. Based on the concept of intermediary, both models are treated in Hamiltonian formalism, as perturbation of the Keplerian-Eulerian motion, using canonical variables associated to the total angular momentum. An analysis of parameters introduced to visualize possible different applications are made, in this case with special focus in binary asteroid type dynamics. The parameters space analysis present comparisons of two recently proposed intermediaries with respect to the original non-analytically integrable model and with respect to each other. In conclusion, both models behave well in regions of the parameters space where they were proposed to be valid. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-11-04 2020-12-12T01:08:39Z 2020-12-12T01:08:39Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1742-6596/1365/1/012015 Journal of Physics: Conference Series, v. 1365, n. 1, 2019. 1742-6596 1742-6588 http://hdl.handle.net/11449/198287 10.1088/1742-6596/1365/1/012015 2-s2.0-85076568965 |
url |
http://dx.doi.org/10.1088/1742-6596/1365/1/012015 http://hdl.handle.net/11449/198287 |
identifier_str_mv |
Journal of Physics: Conference Series, v. 1365, n. 1, 2019. 1742-6596 1742-6588 10.1088/1742-6596/1365/1/012015 2-s2.0-85076568965 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics: Conference Series |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649811435487232 |