 | Richard P. Olenick, Tom M. Apostol, David L. Goodstein - Science - 1985 - 616 pages
...luxuriant fantasies of the Harmony of the Worlds is Kepler's third law of planetary motion, which states that the square of the period of revolution of a planet is proportional to the cube of the length of its semimajor axis. Mathematically we've written this law T2 = ka\ where k is a constant,... | |
 | Steven C. Frautschi, Richard P. Olenick, Tom M. Apostol, David L. Goodstein - Science - 1986 - 616 pages
...luxuriant fantasies of the Harmony of the Worlds is Kepler's third law of planetary motion, which states that the square of the period of revolution of a planet is proportional to the cube of the length of its semimajor axis. Mathematically we can write this law as T2 = ka> where k is a constant,... | |
 | Marcia Sweet Stayer - Biography & Autobiography - 1988 - 152 pages
...Third Law: the square of the period of each planet (the time for completing its journey around the sun) is proportional to the cube of its mean distance from the sun (Fig. 17). For Newton this was powerful evidence that a truly universal inverse-square law of gravitation... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...joining the planet to the sun sweeps out equal areas in equal limes. Third Law. The square of the period of a planet is proportional to the cube of its mean distance from the sun. Kepler's laws provide only a description, not an explanation, of planetary motion. Each of these laws,... | |
 | Brian Cotterell, Johan Kamminga - Biography & Autobiography - 1990 - 348 pages
...observations of the German astronomer Johann Kepler (1571-1630), that the square of a planet's year is proportional to the cube of its mean distance from the sun, Newton deduced that the forces which keep the planets in their orbit are inversely proportional to... | |
 | Eli Maor - Mathematics - 1991 - 306 pages
...equal areas in equal times. 3. The square of the period of revolution of each planet around the sun is proportional to the cube of its mean distance from the sun. // seems to me, that if ¡be mailer of our sun and planets, and all the matter of the unitene, were... | |
 | Sahotra Sarkar - Philosophy - 1996 - 434 pages
...law of centripetal force, and Kepler's rule (that the square of a planet's mean period of revolution is proportional to the cube of its mean distance from the sun) — from this the law of gravitation can be inferred uniquely. Thus, given the question, "If the planetary... | |
 | Stuart Shanker - Mathematics - 2003 - 508 pages
...ellipse in equal periods of time; (3) the time each planet takes to complete its journey around the sun is proportional to the cube of its mean distance from the sun. Keynes, John Maynard - British economist; the most seminal economist of the twentieth century. Koyri... | |
 | Brian Burrell - Mathematics - 1998 - 386 pages
...(which are explained in detail in Chapter 2). The law says: The square of a planet's solar orbit time is proportional to the cube of its mean distance from the sun. Table 1.8 gives orbital times in terms of earth years, and distances in terms of the earth's mean distance... | |
 | Y. S. Brenner - Business & Economics - 508 pages
...equal areas in equal times, and the square of the period of each planet's revolution around the sun is proportional to the cube of its mean distance from the sun, 45 but, this regularity was regularity in motion. To be sure, change was not a new experience. For... | |
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The square of the period of a planet is proportional to the cube of its mean distance from the Sun. 
