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Why the night sky is dark: Olbers' paradox and the light that hasn't arrived yet
Go outside and look between the stars: it's dark. That's strange. In an endless, unchanging universe, every line of sight would end on a star, and the whole…
How astronomers find planets by their shadow: the dip in starlight
Most planets around other stars are far too faint to see directly, so astronomers watch the star instead. When a planet crosses its face, a tiny dark disc…
Why there are two high tides a day: the Moon pulls the near sea harder and the far sea softer
The sea rises twice a day, not once, and the second high tide happens on the side of the Earth facing away from the Moon. Why? The Moon pulls the near ocean a…
How a stick's shadow measured the whole Earth: Eratosthenes, a well and 5,000 stadia
Two sticks, one shadow and one distance were enough for Eratosthenes to size the whole planet around 240 BC. On the summer solstice the noon Sun shone straight…
Why the Moon changes shape: always half lit, and only part of it faces you
Ask why the Moon changes shape and most people blame the Earth's shadow. It is a natural guess, and it is wrong: the Moon is half lit by the Sun all the time…
Why planets speed up near the Sun: Kepler's equal-areas law
Earth moves at 30.29 km/s near 3 January and 29.29 km/s near 4 July, with nothing pushing it along. The rule behind the change is Kepler's equal-areas law: a…
Why rockets drop their tanks on the way up: the rocket equation and staging
Orbit isn't about height. It's about speed: roughly 7.8 km/s sideways, and about 9 to 10 km/s of total speed gain once gravity and air drag take their cut. The…
Why a cannonball fired hard enough never lands: Newton's cannon and the orbit
Fire a cannonball horizontally from a mountaintop and it lands some distance away. Fire it harder and it lands farther. Fire it hard enough and the Earth's…
How a stick and a well measured the whole Earth: Eratosthenes
Around 240 BC, the librarian Eratosthenes measured the size of the Earth using a well, a stick and a shadow. At noon on the summer solstice the sun shone…
How astronomers measure a star's distance by looking from both sides of the Earth's orbit: parallax
Hold a thumb at arm's length and blink one eye, then the other: the thumb jumps against the background. Astronomers do the same with the whole orbit of the…
Why the Moon always shows us the same face: tidal locking
The Moon does spin. It turns exactly once for every trip around the Earth, so the same face always points our way. Walk around a chair while always facing it…
Why one day on Mercury lasts two Mercury years
Mercury circles the Sun in 88 Earth days and spins once every 58.6 days. That odd pairing, three spins for every two orbits, means one sunrise to the next…