Earth, planets and orbits
1859
Mercury misbehaves
Urbain Le Verrier
What do you do when the best theory in history is off by a hair?
Fresh from Neptune, Le Verrier found that Mercury’s orbit slowly turns a little faster than the other planets’ pulls can explain: about 43 arcseconds per century today. He predicted another hidden planet, Vulcan. People searched for decades. It does not exist.
First, make a guess
Adding Einstein’s extra pull near the Sun makes the orbit…
- Turn per orbit
- 0.00°
- Real Mercury
- 0.0000288° per orbit (43″ per century)
- Exaggeration here
- —
With Newton alone (strength 0) the ellipse closes on itself forever. Einstein’s theory adds a tiny extra pull close to the Sun, and the closest point (pink lines) creeps round, tracing a rosette. For Mercury the real effect is about 0.1 arcseconds per orbit, so here it is exaggerated many thousands of times.
How they figured it out
Fresh from his Neptune triumph, Le Verrier studied Mercury and found by 1859 that the point of its closest approach to the Sun crept round about 38 arcseconds per century faster than all the planets’ pulls could explain (the modern figure is 43). It worked last time, so he proposed another unseen planet, Vulcan, inside Mercury’s orbit.
Months later an amateur astronomer, Edmond Lescarbault, claimed to have seen a dot cross the Sun. Le Verrier believed him. Astronomers hunted for Vulcan at eclipses for decades. It was never there. The fault was in Newton’s law itself.
The equation
The orbit’s closest point creeps around the Sun slightly faster than Newton predicts.
See it in real life
A leak, or a wrong formula?
If your car uses a little more fuel than the manual says, it might be a hidden leak (another planet) or the manual’s formula might be incomplete (new physics). With Neptune it was the leak; with Mercury it was the formula.
Where engineers use it
Precision testing
Tiny leftover differences between model and measurement are how engineers and scientists find missing physics.
Where it came from
- A planet found on paper 1846
Led to
After Neptune, Le Verrier used the same reasoning on Mercury and predicted a planet, Vulcan, that does not exist.
What it led to
- General relativity November 1915
Led to
General relativity explained Mercury’s extra 43 arcseconds per century with no new planet.