EVOLUÇÃO DINÂMICA DO SISTEMA TERRA-LUA
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
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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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 |
_version_ |
1799771722365272064 |