Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times

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Published: 04 Jun 2026 › Updated: 04 Jun 2026 Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times

Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times

In this video, I derive Kepler's 2nd law of planetary motion and show that the line joining the Sun to a planet sweeps out equal areas in equal times. In other words, the rate of change of the area of the orbit being swept is constant in time.

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Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times