Day 362 · Dec 27

The Birthday of Johannes Kepler (1571)

Kepler discovered three laws of planetary motion: (1) ellipses with Sun at focus; (2) equal areas in equal times; (3) T² ∝ a³. He used Tycho’s data and geometry. Kepler’s second law is a consequence of conservation of angular momentum (mathematics of motion). His third law led Newton to inverse‑square gravity. Kepler also wrote on the polyhedral model of the solar system (Platonic solids), a beautiful but incorrect theory. He is the father of celestial mechanics – mathematics as the language of the heavens.

What is ‘Kepler’s equation’? M = E – e sin E, where M is mean anomaly, E eccentric anomaly. It is transcendental – no closed form, but solved numerically.

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