The Saros cycle: obtaining eclipse periodicity from Newton's laws
Autor(a) principal: | |
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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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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 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137907982729216 |