366 Days of Mathematics

New Year's Day of Mathematics

On January 1, 1801, Carl Friedrich Gauss predicted the position of the newly discovered dwarf planet Ceres using his method of least squares — one of the greatest feats of mathematical astronomy. Ceres had been observed for only 41 days before disappearing behind the sun. Gauss used just three observations and a new computational method to predict where it would reappear nine months later. He was right to within half a degree.

If you only knew where a planet was on three separate nights, how would you figure out its entire orbit?

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