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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Format: | Article |
Language: | Portuguese |
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Sociedade Brasileira de Física
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Series: | Revista Brasileira de Ensino de Física |
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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. |
first_indexed | 2024-12-14T21:06:13Z |
format | Article |
id | doaj.art-ed9d393c93ae4ab585ffd14dcef99070 |
institution | Directory Open Access Journal |
issn | 1806-1117 1806-9126 |
language | Portuguese |
last_indexed | 2024-12-14T21:06:13Z |
publisher | Sociedade Brasileira de Física |
record_format | Article |
series | Revista Brasileira de Ensino de Física |
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 AT fabioaccchalub saroscycleobtainingeclipseperiodicityfromnewtonslaws |