EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA

Detalhes bibliográficos
Autor(a) principal: PIMENTA, ALTENI FIDELIS
Data de Publicação: 2009
Outros Autores: FERREIRA, LUIZ DANILO DAMASCENO, AFONSO, GERMANO BRUNO
Tipo de documento: Artigo
Idioma: por
Título da fonte: Boletim de Ciências Geodésicas
Texto Completo: https://revistas.ufpr.br/bcg/article/view/16281
Resumo: In this work, it was developed a semi-empirical model by describing the dynamic evolution of the Earth-Moon system from data on the Earth rotation supplied by IERS (International Earth Rotation and Reference System Service) combined with Celestial Mechanics equations. Focusing the interest on secular terms, an equation that supplies the Earth angular velocity was gotten, which, combined with the equation that relates the loss of the Earth rotation angular momentum due to the tide friction of the Moon and the Sun with the change in the lunar orbital angular momentum culminated in the expression that yields the major semi-axis of the Moon’s orbit. In addition, an expression for the tidal time lag response to the force of gravitational attraction suffered by the Earth as a function of the orbital parameters of the Moon and the time was found, which was applied to the differential equations system integrated to the past. Equations expressing the Earth’s rotation velocity, Earth-Moon distance, eccentricity and inclination of the lunar orbit were obtained. The results were compared to those found by methods that analyze records derived from research based on sedimentary cyclic rhithmites sedimentation and an excellent agreement between them was gotten.  
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spelling EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUADynamic evolution of the Earth Moon systemGeodésiaForça de Maré Lunar; Velocidade de Rotação da Terra; Distância Terra-Lua.In this work, it was developed a semi-empirical model by describing the dynamic evolution of the Earth-Moon system from data on the Earth rotation supplied by IERS (International Earth Rotation and Reference System Service) combined with Celestial Mechanics equations. Focusing the interest on secular terms, an equation that supplies the Earth angular velocity was gotten, which, combined with the equation that relates the loss of the Earth rotation angular momentum due to the tide friction of the Moon and the Sun with the change in the lunar orbital angular momentum culminated in the expression that yields the major semi-axis of the Moon’s orbit. In addition, an expression for the tidal time lag response to the force of gravitational attraction suffered by the Earth as a function of the orbital parameters of the Moon and the time was found, which was applied to the differential equations system integrated to the past. Equations expressing the Earth’s rotation velocity, Earth-Moon distance, eccentricity and inclination of the lunar orbit were obtained. The results were compared to those found by methods that analyze records derived from research based on sedimentary cyclic rhithmites sedimentation and an excellent agreement between them was gotten.   Desenvolveu-se neste trabalho um modelo semi-empírico que descreve a evolução dinâmica do sistema Terra-Lua a partir de dados sobre a rotação da Terra fornecidos pelo IERS (International Earth Rotation and Reference System Service), combinados com equações da Mecânica  Celeste. Com interesse direcionado a termos seculares, foi obtida uma equação que fornece a velocidade angular da Terra, a qual, combinada com a equação que relaciona a perda de momento angular  otacional da Terra devida ao atrito de maré da Lua e do Sol com a mudança no momento angular orbital lunar, culminou na expressão que fornece o semi-eixo maior da órbita da Lua. Obteve-se uma  expressão para o tempo de atraso de resposta da maré à força de atração gravitacional sofrida pela Terra, em função dos parâmetros orbitais da Lua e do tempo. Essa expressão foi aplicada ao sistema de equações diferenciais representativo do modelo, o qual foi integrado para o tempo passado. Equações, em função do tempo, que expressam a velocidade de rotação da Terra, distância Terra-Lua, excentricidade  e inclinação da órbita lunar, foram obtidas. Os resultados foram comparados  com valores que advém de análise de registros derivados de pesquisas baseadas em sedimentação maregráfica, havendo excelente concordância entre eles.  Boletim de Ciências GeodésicasBulletin of Geodetic Sciences2009-12-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.ufpr.br/bcg/article/view/16281Boletim de Ciências Geodésicas; Vol 15, No 4 (2009)Bulletin of Geodetic Sciences; Vol 15, No 4 (2009)1982-21701413-4853reponame:Boletim de Ciências Geodésicasinstname:Universidade Federal do Paraná (UFPR)instacron:UFPRporhttps://revistas.ufpr.br/bcg/article/view/16281/10772PIMENTA, ALTENI FIDELISFERREIRA, LUIZ DANILO DAMASCENOAFONSO, GERMANO BRUNOinfo:eu-repo/semantics/openAccess2009-12-09T17:15:25Zoai:revistas.ufpr.br:article/16281Revistahttps://revistas.ufpr.br/bcgPUBhttps://revistas.ufpr.br/bcg/oaiqdalmolin@ufpr.br|| danielsantos@ufpr.br||qdalmolin@ufpr.br|| danielsantos@ufpr.br1982-21701413-4853opendoar:2009-12-09T17:15:25Boletim de Ciências Geodésicas - Universidade Federal do Paraná (UFPR)false
dc.title.none.fl_str_mv EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
Dynamic evolution of the Earth Moon system
title EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
spellingShingle EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
PIMENTA, ALTENI FIDELIS
Geodésia
Força de Maré Lunar; Velocidade de Rotação da Terra; Distância Terra-Lua.
title_short EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
title_full EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
title_fullStr EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
title_full_unstemmed EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
title_sort EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
author PIMENTA, ALTENI FIDELIS
author_facet PIMENTA, ALTENI FIDELIS
FERREIRA, LUIZ DANILO DAMASCENO
AFONSO, GERMANO BRUNO
author_role author
author2 FERREIRA, LUIZ DANILO DAMASCENO
AFONSO, GERMANO BRUNO
author2_role author
author
dc.contributor.author.fl_str_mv PIMENTA, ALTENI FIDELIS
FERREIRA, LUIZ DANILO DAMASCENO
AFONSO, GERMANO BRUNO
dc.subject.por.fl_str_mv Geodésia
Força de Maré Lunar; Velocidade de Rotação da Terra; Distância Terra-Lua.
topic Geodésia
Força de Maré Lunar; Velocidade de Rotação da Terra; Distância Terra-Lua.
description In this work, it was developed a semi-empirical model by describing the dynamic evolution of the Earth-Moon system from data on the Earth rotation supplied by IERS (International Earth Rotation and Reference System Service) combined with Celestial Mechanics equations. Focusing the interest on secular terms, an equation that supplies the Earth angular velocity was gotten, which, combined with the equation that relates the loss of the Earth rotation angular momentum due to the tide friction of the Moon and the Sun with the change in the lunar orbital angular momentum culminated in the expression that yields the major semi-axis of the Moon’s orbit. In addition, an expression for the tidal time lag response to the force of gravitational attraction suffered by the Earth as a function of the orbital parameters of the Moon and the time was found, which was applied to the differential equations system integrated to the past. Equations expressing the Earth’s rotation velocity, Earth-Moon distance, eccentricity and inclination of the lunar orbit were obtained. The results were compared to those found by methods that analyze records derived from research based on sedimentary cyclic rhithmites sedimentation and an excellent agreement between them was gotten.  
publishDate 2009
dc.date.none.fl_str_mv 2009-12-09
dc.type.none.fl_str_mv

dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://revistas.ufpr.br/bcg/article/view/16281
url https://revistas.ufpr.br/bcg/article/view/16281
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://revistas.ufpr.br/bcg/article/view/16281/10772
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Boletim de Ciências Geodésicas
Bulletin of Geodetic Sciences
publisher.none.fl_str_mv Boletim de Ciências Geodésicas
Bulletin of Geodetic Sciences
dc.source.none.fl_str_mv Boletim de Ciências Geodésicas; Vol 15, No 4 (2009)
Bulletin of Geodetic Sciences; Vol 15, No 4 (2009)
1982-2170
1413-4853
reponame:Boletim de Ciências Geodésicas
instname:Universidade Federal do Paraná (UFPR)
instacron:UFPR
instname_str Universidade Federal do Paraná (UFPR)
instacron_str UFPR
institution UFPR
reponame_str Boletim de Ciências Geodésicas
collection Boletim de Ciências Geodésicas
repository.name.fl_str_mv Boletim de Ciências Geodésicas - Universidade Federal do Paraná (UFPR)
repository.mail.fl_str_mv qdalmolin@ufpr.br|| danielsantos@ufpr.br||qdalmolin@ufpr.br|| danielsantos@ufpr.br
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