Kepler's third law

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Noun1.Kepler's third law - a law stating that the ratio of the square of the revolutionary period (in years) to the cube of the orbital axis (in astronomical units) is the same for all planets
Kepler's law, Kepler's law of planetary motion - (astronomy) one of three empirical laws of planetary motion stated by Johannes Kepler
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Following the development of astronomical thought, the activities relate to topics like the Moon, astronomy measurements, precision astronomy, the magnitude system, spiral nebulae, Hubble's Law, and Kepler's Third Law. Worksheets are included.
If the orbital periods show this resonance phenomenon, then also the orbital spacing of a planetary system follows the same pattern a direct consequence of Kepler's third law linking the orbital spacing (given as the semi-major axis, (a)) with the period of an planet orbiting a star, [P.sup.2] x [a.sup.3], leading to the relationships a [varies] [P.sup.2/3] and P [varies] or [proportional] [a.sup.3/2].
Kepler's third law of planetary motion, which states that the square of a planet's orbital period is proportional to the cube of its distance from the Sun, had profound implications.
Within its dense texture of geometry, astronomy, astrology, and cosmic music, The Harmony ofthe World contains near the end a mathematical gem, what today we call Kepler's third law. For Copernicus, the qualitative relationship between the size of a planet's orbit and its period of revolution was an aesthetic prize, one of the most important reasons for his rejection of the traditional geocentric cosmology.
Plugging those numbers into Kepler's Third Law yields the density of the star and planet.
(2) Derive Kepler's Third Law for the case of circular orbits.