Enthusiasts mathematics and astronomy can now seek good relations wooden gear clock for gear trains

During a visit to the National Archaeological Museum reserves Athens in 1902, the mathematician Spyridon STAIS looking for fragments of a beautiful statue, Adonis, recovered with hundreds of other objects in the wreckage of a Roman ship near the coast of the island of Antikythera. Among these fragments, Spyridon STAIS noticed bits of gears on which tiny inscriptions appeared as calcification of marine sediments.
Very quickly, experts agreed wooden gear clock on the nature of the object: it was the remains of an astronomical machine. Then began a fight that lasted almost a century: wooden gear clock it was an astrolabe, a planetarium, a navigational instrument or something else? The clues to solve the puzzle were scattered: three dozen gears visible on radiographs and a few hundred characters engraved on ancient Greek fragments wooden gear clock of bronze and legible to the naked eye.
Among these indices, two numbers: 19 and 76, readable from astronomical and mechanical terms. Specialists in ancient astronomy had immediately recognized as corresponding to the duration in years of lunisolar cycles Metonic and Callippus. A lunisolar cycle is a common wooden gear clock multiple wooden gear clock (approximate) of a solar year and a lunar month: after 235 lunar months (number also engraved on the machine), it took 19 years and barely more half past one. Cycle Callippus is a different approximation (and better).
By choosing a date on the Egyptian solar calendar, the user of the machine can be seen on the front positions and phases of the moon and the positions of the Sun and the five planets known in antiquity. On the back side are shown including lunar calendar month in Metonic cycles and Callipe. Refinement of the science of the second century BCE, the apparently wooden gear clock irregular motion of the Moon is also calculated, with decelerations and accelerations due to the elliptical shape of its orbit.
A button (or crank) rotates all the workings of a fixed manner. When an axis on which are fixed two gears having respectively N and M teeth, a full turn of the wheel is rotated teeth N advancing M teeth the second wheel. Thus, a tooth of the first advances M / N of the second teeth. If the second wheel constitutes a third another axis with two wheels, which have teeth P and Q respectively, move a tooth of the first wheel will move the fourth wheel (M / N) (P / Q) teeth. And so on. For example, the sidereal lunar month, the desired wooden gear clock ratio is 254/19 (254 synodic months to 19 years). However, the number of teeth of the gear train is involved: (64/38) (48/24) (127/32), which is equal to (2 32/2 19) (2 24/24 ) (127/32) = (2 127/19) = 254/19!
Enthusiasts mathematics and astronomy can now seek good relations wooden gear clock for gear trains driving the hands of the planets: indeed, this part of the machine is probably still at the bottom of the sea Antikythera, it n 'there is no expert consensus on how to reproduce the movements of the planets. On your calculators so!
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