 | 1891 - 846 pages
...tation. Kepler's third and greatest law is that the squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the Sun. Themost unmathematical reader has no cause to be alarmed by this somewhat technical statement, for... | |
 | Orison Swett Marden - 1894 - 480 pages
...sun passes over equal spaces in equal times, and that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. This boy with no chance became one of the world's greatest astronomers. "When 1 found that I was black,"... | |
 | Trevor H. Levere, Trevor Harvey Levere - 2002 - 296 pages
...to a planet describes equal areas in equal times. 3. The squares of the periods of rotation of the planets about the sun are proportional to the cubes of their mean distances from the sun. Steffens reversed this order, so that his first law was Kepler's third. His derivation was based, obscurely... | |
 | Frank Durham, Robert D. Purrington - 1985 - 300 pages
...equal areas in equal times. The Third Law, the harmonic law. The squares of the periods of the planets are proportional to the cubes of their mean distances from the Sun. This can be written T* = kd i or T = k'd 3lt . In the solar system, with T in years and distance in astronomical... | |
 | Joseph H. Cater - 1984 - 498 pages
...calculated by the use of Kepler's third law, which states that "the square of the periods of any two planets are proportional to the cubes of their mean distances from the sun." Since the orbital periods of the planets are known with a reasonable accuracy, most of the other unknowns... | |
 | Paul Davies - 1985 - 269 pages
...relationships governing the motions of the planets, such as the fact that the squares of the orbital periods are proportional to the cubes of their mean distances from the sun. All this culminated in Newton's establishment of the laws of mechanics and gravity. He found that gravity... | |
 | I. Bernard Cohen - 1985 - 280 pages
...which states that the squares of times of revolution of any two planets around the sun (earth included) are proportional to the cubes of their mean distances from the sun. In mathematical language, we may say that "T* is always proportional to D 3 " or ~ K D3 where AT is... | |
 | Charles E. Hummel - 1986 - 300 pages
...we now call his third law of motion: For any two planets, the squares of their periods of revolution are proportional to the cubes of their mean distances from the sun. Kepler was especially pleased with that law because it neatly linked the planetary distances with their... | |
 | Julian B. Barbour - 1988 - 784 pages
...specific consequence of the inverse square law and states that the squares of the periods of the planets are proportional to the cubes of their mean distances from the sun. If P is the period and R the mean distance of a planet, then or P = where a is a constant of proportionality.... | |
 | Roger Muncaster - 1993 - 964 pages
...to the Sun sweeps out equal areas in equal times. 3 The squares of the periods of revolution of the planets about the Sun are proportional to the cubes of their mean distances from it. Fig. 8.1 illustrates law 2 but gives an exaggerated idea of the eccentricity of most planetary... | |
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The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
