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Nature of 580-Year Cycle of Lunar and Solar Eclipses | Synapse

April 13, 2026

Nature of 580-Year Cycle of Lunar and Solar Eclipses

Key Points

The aim is to understand the relationship between the Saros cycle and lunar orbit precession that leads to the 580-year eclipse cycle.
Developed a mathematical model of the eclipse cycle
Analysed the modulation of the Saros cycle with lunar orbit precession
Confirmed that the combination of the Saros cycle and lunar orbit precession results in a 580-year cycle of eclipses
Identified specific patterns in eclipse occurrences over centuries

Abstract

It is shown that the 580-year eclipse cycle occurs due to the modulation of the cycle of Saros (18.03) with a cycle of precession of the plane of the lunar orbit (18.61). The sum of these two cycles gives rise to 580 cycles of eclipses of the moon and sun. A mathematical model of this cycle has been built.

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Authors

N

N. S. Sidorenkov

P

P. N. Sidorenkov

L

L. V. Zotov

Journals

Moscow University Physics Bulletin

Actions

Institutions

Lomonosov Moscow State University

National Research University Higher School of Economics

Hydrometeorological Research Centre of Russian Federation

References and Citations

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Cite this study

Sidorenkov et al. (Mon,) studied this question.

www.synapsesocial.com/papers/69dc87ea3afacbeac03ea017 — DOI: https://doi.org/10.3103/s0027134925701371