Antikythera Mechanism: Bronze Analog Computer Modeling Lunisolar Saros-Metonic Cycles — E8 Intelligence Research

FINDING: The Antikythera Mechanism is a bronze geared analog computer (c. 150–100 BCE) that models lunisolar-Saros-Metonic astronomical cycles via a pin-and-slot differential and epicyclic trains, with a front zodiac/parapegma dial and back spiral dials. | MATH: Saros = 223 synodic months ≈ 18.03 tropical years; Metonic = 235 synodic months = 19 tropical years; Callippic = 4 Metonic = 76 years; Exeligmos = 3 Saros = 669 synodic months; synodic month ≈ 29.530589 d; tropical year ≈ 365.2422 d; 235/19 ≈ 12.3684; 223/18 ≈ 12.3889. Gear tooth counts (Freeth et al. 2006, Nature): b1=224, b2=64, c1=38, c2=48, d1=24, d2=127, e2=32, e5=50, e6=50, k1=50, k2=50, l1=38, l2=53, m1=27, m2=45, n1=57, n2=50, p1=60, p2=12. | CONNECTION: 235/19 and 223/18 are continued-fraction convergents of the ratio synodic month / tropical year; the pin-and-slot mechanism (e3–e5) produces a variable lunar angular velocity by an eccentricity ratio ≈ 1/20, encoding the first-order lunar anomaly (Hipparchan). Base-60 s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23721763
Primary Topic
Historical Astronomy and Related Studies
Type
preprint
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Antikythera Mechanism: Bronze Analog Computer Modeling Lunisolar Saros-Metonic Cycles — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
Historical Astronomy and Related Studies
preprint

Antikythera Mechanism: Bronze Analog Computer Modeling Lunisolar Saros-Metonic Cycles — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Antikythera Mechanism is a bronze geared analog computer (c. 150–100 BCE) that models lunisolar-Saros-Metonic astronomical cycles via a pin-and-slot differential and epicyclic trains, with a front zodiac/parapegma dial and back spiral dials. | MATH: Saros = 223 synodic months ≈ 18.03 tropical years; Metonic = 235 synodic months = 19 tropical years; Callippic = 4 Metonic = 76 years; Exeligmos = 3 Saros = 669 synodic months; synodic month ≈ 29.530589 d; tropical year ≈ 365.2422 d; 235/19 ≈ 12.3684; 223/18 ≈ 12.3889. Gear tooth counts (Freeth et al. 2006, Nature): b1=224, b2=64, c1=38, c2=48, d1=24, d2=127, e2=32, e5=50, e6=50, k1=50, k2=50, l1=38, l2=53, m1=27, m2=45, n1=57, n2=50, p1=60, p2=12. | CONNECTION: 235/19 and 223/18 are continued-fraction convergents of the ratio synodic month / tropical year; the pin-and-slot mechanism (e3–e5) produces a variable lunar angular velocity by an eccentricity ratio ≈ 1/20, encoding the first-order lunar anomaly (Hipparchan). Base-60 s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Historical Astronomy and Related Studies
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