Turning an oscillation into a second
sourcemodern model
In 1659 Kochański proposes replacing the pendulum with a regulating spring and fixing the number of beats per hour — sixteen years before Huygens's balance spring. Both solutions board the same ship below: Jean Richer's voyage from La Rochelle to Cayenne, 1672.
- Latitude
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- Temperature
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- Pendulum drift
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- Spring drift
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- Position error — pendulum
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- Position error — spring
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The spring is not better — it moves the problem from gravity to temperature. Compensation had to wait for Harrison, ninety years after Kochański's proposal.
The route is simplified to a steady run south and the temperature is derived from latitude rather than a ship's log.
Text description of the instrument
A clock regulated in La Rochelle loses time on the way to Cayenne in three ways: gravity weakens, rolling widens the pendulum's swing, and the temperature rises. After 64 days the position error reaches several thousand kilometres. A spring-regulated clock is immune to the first two but ten times more sensitive to temperature. Only temperature compensation brings the error near the longitude prize threshold of half a degree, about 56 km.