Eclipses — Rare Maths in the Sky

🌌 Sky & Space · Lesson 3 of 50 · about 7 minutes

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← Akademi · 🌌 Sky & Space · Lesson 3 of 50 · about 7 min

If the Moon’s orbit lay flat with Earth’s orbit around the Sun, we would get a solar and a lunar eclipse every single month. It does not: the Moon’s path tilts about five degrees, so most months its shadow misses Earth entirely, or Earth’s shadow misses the Moon. When the alignment is exact, a solar eclipse happens — and the Moon’s shadow traces a narrow band, typically under 250 kilometres wide. Stand outside that ribbon of totality and you see a partial bite, not a corona.

The uncanny arithmetic behind totality: the Sun is about 400 times wider than the Moon, and also about 400 times farther away, so the two discs match in the sky. That match is a temporary gift of geology — with the Moon slowly receding, total solar eclipses as we know them will one day be impossible. Somewhere on Earth an eclipse of some kind happens roughly every 18 months, but any single point waits centuries between totalities.

Safety is not negotiable: looking at a partial or ring (annular) Sun with the naked eye, or with ordinary sunglasses or smoked glass, can burn the retina with no pain at all. Only ISO 12312-2 certified filters — or a projected pinhole image — are safe for the Sun’s disc. The one exception: during the few minutes of totality, when the Moon fully covers the Sun’s surface, naked-eye viewing is genuinely safe. If it is not total, never look.

Key takeaways

  • The 5° tilt of the Moon’s orbit is why eclipses are rare, not monthly
  • Totality needs the Moon’s ~200 km shadow ribbon — location matters more than date
  • Only certified solar filters are safe, except during the brief minutes of totality

Check yourself

Why isn’t there a solar eclipse every new Moon?

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