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Schiehallion experiment

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The Schiehallion experiment was a landmark scientific study from the 18th century. Its primary goal was to determine the mean density of the Earth. Mean density describes how much mass is packed into a specific volume.

Schiehallion 01
Schiehallion 01

Before this experiment, scientists only knew the relative ratios of masses in our solar system. They knew how much heavier one planet was than another, but not their actual values. By calculating the Earth's density, they could finally estimate the true masses of the Sun, the Moon, and all the other planets. This was a massive step in understanding the scale of the universe.

The experiment relied on a phenomenon called gravitational deflection. Normally, a plumb-line—a weight hanging from a string—points directly toward the center of the Earth. However, a large mass like a mountain exerts its own gravitational pull. This pull tugs the plumb-line slightly away from the true vertical.

Schiehallion angles
Schiehallion angles

To measure this, scientists compared the plumb-line's position to the position of a known star. By measuring this tiny angle of deflection on opposite sides of a mountain, they could calculate the mountain's mass. If they also knew the mountain's volume and its rock density, they could use math to find the Earth's density.

Finding the right location was a major challenge. Earlier, in 1738, French astronomers Pierre Bouguer and Charles Marie de La Condamine tried this on Mount Chimborazo in Ecuador.

Chimborazo from southwest
Chimborazo from southwest

They detected a tiny deflection of 8 seconds of arc, but the difficult terrain and climate made it hard to be certain. Later, during the survey of the Mason–Dixon line, Henry Cavendish noticed errors in surveying tools. He realized the Allegheny Mountains were likely pulling on the instruments. This prompted Nevil Maskelyne, the Astronomer Royal, to propose a more controlled experiment in Scotland.

Schiehallion was chosen as the ideal site in 1774.

Loch Rannoch
Loch Rannoch

It was located in Perthshire, Scotland, and stood isolated from other large hills. This isolation ensured that other mountains would not interfere with the measurements. The mountain also had a very symmetrical east-west ridge. This shape made the complex mathematical calculations much simpler. Its steep slopes allowed the team to set up stations close to the mountain's center of mass to maximize the effect.

The scientific team was exceptionally well-equipped for the task. Nevil Maskelyne led the project, supported by mathematicians Charles Hutton and Reuben Burrow. They used high-precision tools, including a brass quadrant from a previous expedition and a regulator, which is a very accurate pendulum clock. They even built small observatories and a bothy for equipment on the mountainside. The work was physically demanding and often interrupted by mist and rain. Maskelyne conducted hundreds of observations on various stars to ensure his data was accurate.

One of the most important results came from the surveying work. To find the mountain's volume, Charles Hutton had to divide it into many vertical prisms. He processed thousands of bearing angles from over a thousand different points. To manage this massive amount of data, Hutton developed a method of marking points of equal height.

Schiehallion
Schiehallion

These became known as contour lines. This technique allowed him to visualize the terrain and became a standard tool in modern cartography. This helped turn a chaotic mountain shape into a precise mathematical model.

In the end, the experiment was a profound success. Maskelyne announced that the Earth's mean density was approximately double that of Schiehallion.

Schiehallion
Schiehallion

This result provided powerful evidence for Isaac Newton's law of universal gravitation. Although Newton had been skeptical that such a small deflection could be measured, the experiment proved him wrong. It confirmed that gravitational effects are detectable even on a local scale. The success of the project earned Maskelyne the Copley Medal and helped solidify the Newtonian system of physics in the scientific world.

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🖼️ Images & Media (6)
File:Schiehallion 01.jpg
Schiehallion 01.jpg
File:Chimborazo from southwest.jpg
Chimborazo from southwest.jpg
File:Loch Rannoch.jpg
Loch Rannoch.jpg
File:Schiehallion angles.svg
Schiehallion angles.svg
File:Edinburgh Arthur Seat dsc06165.jpg
Edinburgh Arthur Seat dsc06165.jpg
File:Schiehallion.svg
Schiehallion.svg
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