The Saros cycle: obtaining eclipse periodicity from Newton's laws

Detalhes bibliográficos
Autor(a) principal: Chalub, Fábio Augusto da Costa Carvalho
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/24765
Resumo: This work was supported by FCT/Portugal. I also would like to thank M. Souza for a careful revision of the manuscript.
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spelling The Saros cycle: obtaining eclipse periodicity from Newton's lawslaws3-bodyproblemrestrictedSarosNewton'scycleseclipsesprecessioneclipsesNewton's lawsRestricted 3-body problemSaros cyclesThis work was supported by FCT/Portugal. I also would like to thank M. Souza for a careful revision of the manuscript.The Saros cycle has been known since antiquity and refers to the periodicity of eclipses. It is the least common multiple of three periods: the synodic, the draconic, and the anomalistic months. We show how to obtain these periods from Newton's laws with a precision greater than 0.02% using only the sidereal month and year as references.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNChalub, Fábio Augusto da Costa Carvalho2017-10-30T23:01:13Z2009-032009-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/24765eng0102-4744PURE: 488815https://doi.org/10.1590/S1806-11172009000100003info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:12:55Zoai:run.unl.pt:10362/24765Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:28:07.438369Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The Saros cycle: obtaining eclipse periodicity from Newton's laws
title The Saros cycle: obtaining eclipse periodicity from Newton's laws
spellingShingle The Saros cycle: obtaining eclipse periodicity from Newton's laws
Chalub, Fábio Augusto da Costa Carvalho
laws
3-body
problem
restricted
Saros
Newton's
cycles
eclipses
precession
eclipses
Newton's laws
Restricted 3-body problem
Saros cycles
title_short The Saros cycle: obtaining eclipse periodicity from Newton's laws
title_full The Saros cycle: obtaining eclipse periodicity from Newton's laws
title_fullStr The Saros cycle: obtaining eclipse periodicity from Newton's laws
title_full_unstemmed The Saros cycle: obtaining eclipse periodicity from Newton's laws
title_sort The Saros cycle: obtaining eclipse periodicity from Newton's laws
author Chalub, Fábio Augusto da Costa Carvalho
author_facet Chalub, Fábio Augusto da Costa Carvalho
author_role author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Chalub, Fábio Augusto da Costa Carvalho
dc.subject.por.fl_str_mv laws
3-body
problem
restricted
Saros
Newton's
cycles
eclipses
precession
eclipses
Newton's laws
Restricted 3-body problem
Saros cycles
topic laws
3-body
problem
restricted
Saros
Newton's
cycles
eclipses
precession
eclipses
Newton's laws
Restricted 3-body problem
Saros cycles
description This work was supported by FCT/Portugal. I also would like to thank M. Souza for a careful revision of the manuscript.
publishDate 2009
dc.date.none.fl_str_mv 2009-03
2009-03-01T00:00:00Z
2017-10-30T23:01:13Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/24765
url http://hdl.handle.net/10362/24765
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0102-4744
PURE: 488815
https://doi.org/10.1590/S1806-11172009000100003
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eu_rights_str_mv openAccess
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