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Ole Rømer Sticker
Io Isn’t Late. Light Is. | Physics
Jupiter’s moon Io kept missing its schedule, and that was the clue. In 1676 Ole Rømer saw Io’s eclipses run late when Earth was farther from Jupiter: light takes time to travel. A pixel-art portrait on a 3" × 3" sticker; the physics panel below has the equation, every symbol and the sources.
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Size3″ × 3″
3″ × 3″ kiss-cut sticker.
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The physics
Io's eclipses behind Jupiter ran later when Earth was farther from Jupiter, because the light had farther to travel. Rømer used that delay to show that light has a finite speed, crossing the width of Earth's orbit in a matter of minutes.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(\Delta t\) | extra light travel time | \(\mathrm{s}\) |
| \(\Delta d\) | extra distance light must travel | \(\mathrm{m}\) |
| \(c\) | speed of light in vacuum | \(\mathrm{m/s}\) |
| \(\text{AU}\) | astronomical unit, about the mean Earth–Sun distance (exactly 149 597 870 700 m since 2012) | \(\mathrm{m}\) |
Sources
- Rømer (1677) A Demonstration concerning the Motion of Light, Phil. Trans. 12, 893 (opens in a new tab)
- Bobis & Lequeux (2008) Cassini, Rømer and the velocity of light, JAHH 11, 97 (opens in a new tab)
- Wikipedia — Rømer's determination of the speed of light (opens in a new tab)
- NIST — speed of light in vacuum (exact) (opens in a new tab)
- Wikipedia — Astronomical unit (IAU 2012 exact definition) (opens in a new tab)
Source Rømer, O. (1677). A demonstration concerning the motion of light, communicated from Paris, in the Journal des Sçavans, and here made English. Philosophical Transactions of the Royal Society of London 12, 893–894.doi.org/10.1098/rstl.1677.0024 (opens in a new tab)