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

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 onl...

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Main Author: Fabio A.C.C. Chalub
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172009000100003&lng=en&tlng=en
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author Fabio A.C.C. Chalub
author_facet Fabio A.C.C. Chalub
author_sort Fabio A.C.C. Chalub
collection DOAJ
description 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.
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spelling doaj.art-ed9d393c93ae4ab585ffd14dcef990702022-12-21T22:47:26ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-11171806-91263111303.11303.610.1590/S1806-11172009000100003S1806-11172009000100003The Saros cycle: obtaining eclipse periodicity from Newton's lawsFabio A.C.C. Chalub0Universidade Nova de LisboaThe 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.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172009000100003&lng=en&tlng=ensaros cycleseclipsesnewton's lawsrestricted 3-body problem
spellingShingle Fabio A.C.C. Chalub
The Saros cycle: obtaining eclipse periodicity from Newton's laws
Revista Brasileira de Ensino de Física
saros cycles
eclipses
newton's laws
restricted 3-body problem
title 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_short The Saros cycle: obtaining eclipse periodicity from Newton's laws
title_sort saros cycle obtaining eclipse periodicity from newton s laws
topic saros cycles
eclipses
newton's laws
restricted 3-body problem
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172009000100003&lng=en&tlng=en
work_keys_str_mv AT fabioaccchalub thesaroscycleobtainingeclipseperiodicityfromnewtonslaws
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