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Rømer, 1676

How We First Timed Light

Light was thought to be instant. A moon of Jupiter kept running late.

When Earth is nearJupiter The eclipse happenson scheduleWhen Earth is far The same eclipse runsabout 16 minutes late
The moon was not late. The news was.
  1. Step 1 of 5

    Everyone assumed light took no time at all.

    Lantern uncoveredon one hill Seen on theother, apparentlyinstantly

    Galileo had tried to measure it with two men, two lanterns and two hilltops, and found only that light was faster than anyone could time by hand. Most people concluded it was simply instantaneous.

  2. Step 2 of 5

    Jupiter's moon Io is a very good clock.

    Io orbits Jupiter Slips into theshadow Every 42.5hours, exactly

    Io goes round Jupiter every 42.5 hours and disappears into Jupiter's shadow each time. That is a bright, sharp, repeating event, visible through a small telescope, and utterly regular — the best clock in the sky.

  3. Step 3 of 5

    Except it was not regular. It drifted.

    1 Earth movesround theSun2 Half theyear: weapproach3 Half theyear: werecede4 The eclipsesdrift, instep

    Rømer kept records for years and found the eclipses ran progressively early for half the year and progressively late for the other half. Nothing about Io was changing. What was changing was where Earth was standing.

  4. Step 4 of 5

    The lateness is the extra distance.

    Earth, on the farside of its orbit About 300 millionkm of extratravel16 minutes of lateness

    If light takes time, its journey is longer when Earth is on the far side of its orbit. The extra distance is the whole width of that orbit, and the light arrives that much later. The total drift across the year was about sixteen minutes.

  5. Step 5 of 5

    Divide the distance by the lateness.

    Rømer's answer, 1676about 220,000km/sThe true speed of light299,792 km/s

    That is the whole calculation. Rømer's own answer was around 220,000 kilometres per second — low, because the size of Earth's orbit was not yet well known. The method was right. The real figure is 299,792.

    He was ignored for fifty years. The clinching confirmation came in 1729, from a completely different method, long after he died.

The short version

The speed of light was first measured by noticing that Jupiter's moon appeared late whenever Earth was further away.

Try it yourself

Watch a distant firework. The bang arrives well after the flash — the same idea, with a much slower messenger.

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