By Lawrence
5 minutes
5 minutes
Equal Areas, Equal Times
The gold ellipse shows the path. It can't tell you when a ball will reach any point on it. Let's put a clock on it.
Kepler's area rule
A ball on an ellipse doesn't move at a steady speed. It races past the planet and crawls at the far end. Kepler found the rule. Draw a line from the planet to the ball, and that line sweeps out equal areas in equal times.

Near the planet the line is short, so the ball has to cover a lot of ground to sweep its share. Far away the line is long, so a little movement does it.
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