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

Fábio Augusto da Costa Carvalho Chalub

doi:10.1590/S1806-11172009000100003

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

Fábio Augusto da Costa Carvalho Chalub

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Abstract

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.

Original language	English
Article number	1303
Journal	Revista Brasileira De Ensino De Fisica
Volume	31
Issue number	1
DOIs	https://doi.org/10.1590/S1806-11172009000100003
Publication status	Published - Mar 2009

Keywords

eclipses
Newton's laws
Restricted 3-body problem
Saros cycles

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title = "The Saros cycle: obtaining eclipse periodicity from Newton's laws",

abstract = "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.",

keywords = "laws, 3-body, problem, restricted, Saros, Newton's, cycles, eclipses, precession, eclipses , Newton's laws , Restricted 3-body problem , Saros cycles",

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N2 - 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.

AB - 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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KW - 3-body

KW - problem

KW - restricted

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KW - precession

KW - eclipses

KW - Newton's laws

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

Abstract

Keywords

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