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" But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent of secular changes. They are so connected by Kepler's law, of the squares of the periodic times being proportional... "
Mechanism of the Heavens - Page xiv
by Mary Somerville - 1831 - 621 pages
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The Great Astronomical Revolution: 1534-1687 and the Space Age Epilogue

Patrick Moore - 1994 - 270 pages
...joining the centre of the planet to the centre of the Sun- sweeps out equal areas in equal times. 3. The cubes of the mean distances of the planets from the Sun are proportional to the squares of their periods of revolution. Law i needs no further clarification....
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Explorers of the Southern Sky: A History of Australian Astronomy

Raymond Haynes - 1996 - 550 pages
...breakthrough in offering a proportional model of the solar system, since his third law states that the cubes of the mean distances of the planets from the Sun are proportional to the square of their periods of revolution around the Sun. However, Kepler's laws...
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Space Warfare: High-tech War of the Future Generation

Nordin Yusof - 1999 - 900 pages
...complete orbit) are proportional to the cubes of their average distance from the Sun."w In other words, the cubes of the mean distances of the planets from the Sun are proportional to the squares of the periods of the revolution. '"The more distant the planet, the...
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Laws and Models: Science, Engineering, and Technology

Carl W. Hall - 2018 - 566 pages
...connecting each planet with the sun describes equal areas in equal times. Third Law; Harmonic Law (1619) The cubes of the mean distances of the planets from the sun are proportional to the squares of their times of revolution about the sun. Kepler based much of his...
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Philosophy of Nature

Georg Wilhelm Friedrich Hegel - 2002 - 400 pages
...situated. (2) The radius vector joining each planet with the sun describes equal areas in equal times. (3) The cubes of the mean distances of the planets from the sun are proportional to the squares of their times of revolution. The first two were discovered between...
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Prime Elements of Ordinary Matter, Dark Matter & Dark Energy: Beyond ...

Vladimir B. Ginzburg - 2007 - 446 pages
...relationship between the periods of revolutions of the planets T and their mean distances from the Sun,/?: The cubes of the mean distances of the planets from the Sun are proportional to the squares of their periods of revolution. This statement is presented by the...
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