Robert Weinstock
Abstract
Two demonstrations of Kepler's third law for elliptical orbits are presented. Both assume the validity of Kepler's first two laws and a few simple facts concerning the geometry of the ellipse; one directly employs conservation of energy, the other the centripetal-force relation. But neither involves an elaborate use of the calculus.
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Two demonstrations of Kepler's third law for elliptical orbits are presented. Both assume the validity of Kepler's first two laws and a few simple facts concerning the geometry of the ellipse; one directly employs conservation of energy, the other the centripetal-force relation. But neither involves an elaborate use of the calculus.
Key concepts: Kepler, Ellipse, Kepler problem, Kepler's laws of planetary motion, Physics, Centripetal force, Elliptic orbit, Third law