Gears model Hipparchus's lunar motion, Metonic cycle and Saros eclipses

The Antikythera Mechanism Is Weirder Than You Think
Source: The Antikythera Mechanism Is Weirder Than You Think by Michael Button

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Hipparchus' Moon model sits in the gear train: two off-centre gears with a pin sliding in a slot make the output speed up and slow like the real Moon. The back spiral spans 235 lunar months, the 19-year Metonic cycle; the lower, 223 months, is the Saros eclipse cycle, known to Babylonians. 🌙

Key facts

  • In the 2nd century BC the astronomer Hipparchus argued the Moon moves in one large circle with the Earth slightly off-centre, so it appears faster when close and slower when far away.
  • The maker implemented this with two slightly off-centre gears, a pin on one sliding inside a slot on the other, so the output sped up and slowed down to mimic the real Moon.
  • The upper spiral on the back of the mechanism spans 235 lunar months, the 19-year Metonic cycle in which 7 of every 19 years carry a 13th intercalary month, adding 7 months to 228 to keep the calendar aligned with the seasons.
  • A smaller dial beside the upper spiral counts the four-year Olympic cycle and carries engraved names of other Greek festivals: Olympia, Nemea, Isthmia and Pythia.
  • Twelve month names identified on the larger Metonic spiral belong to the Corinthian calendar tradition, whose related calendars were used in parts of northwestern Greece and in Syracuse, Sicily; this narrowed possible intended users but does not prove where the device was made.
  • The lower back spiral spans 223 lunar months, the Saros eclipse cycle of roughly 18 years, known to Babylonian astronomers long before.
  • Glyphs around the Saros spiral mark months in which a solar or lunar eclipse was possible, give an expected hour, and note obscuration amount, direction and predicted colour, though the forecasts were not always accurate.
  • Because each Saros repeat brings the eclipse about 8 hours later in the day, the Exeligmos dial tracks three successive Saros cycles and indicates whether to add 0, 8 or 16 hours to the listed eclipse time.
  • The video notes that in 2nd century BC Greece and Babylon an unexpected eclipse could panic a city, halt battles, or in Babylon signal the king's death, sometimes leading to the use of a substitute king who was later killed.

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Sources

michaelbutton.substack.com
Linked in video description
Antikythera mechanismen.wikipedia.org
The Antikythera mechanism is an ancient Greek hand-powered orrery (model of the Solar System) built in the 2nd century BC and discovered in 1901.
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by E Gourtsoyannis · 2010 · Cited by 26 — Antikythera Mechanism of the 2nd century BCE modeled the anomalistic motion of the Moon more accurately than Ptolemy's account of Hipparchus's theory of the…
The influence of Hipparchus in Antikythera mechanismsciencedirect.com
by IS Diolatzis · 2019 · Cited by 3 — On the other hand in Antikythera mechanism remains, there is an advanced device, known as the “pin & slot”, which simulates the non-uniform motion of the moon.
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