 The radius vector of each planet describes equal areas in equal times. (3) The squares of the periods of the planets are proportional to the cubes of their mean distances from the su» ; ie, £12 : ia2 : : «!3 : a28. This is the so-called "Harmonic Law.  The Elements of Astronomy: A Textbook - Сторінка 178автори: Charles Augustus Young - 1897 - 464 стор.Повний перегляд - Докладніше про цю книгу
 | Rama B. Bhat - 2001 - 416 стор.
...its focus. 2. The radius vector from the sun to a planet sweeps over equal areas in equal times. 3. The squares of the periods of the planets are proportional to the cubes of the semi major axes of their respective orbits. The first two laws were published in 1609 AD and third... | |
 | David C. Cassidy, Gerald Holton, F. James Rutherford - 2002 - 857 стор.
...is an arithmetic law, not a geometric law: Kepler's third law of planetary motion, the harmonic law: The squares of the periods of the planets are proportional to the cubes of their average distances from the Sun, for all of the planets. If we call the period of a planet T, and its... | |
 | Peter Achinstein - 2004 - 448 стор.
...the ellipse; (2) a line drawn from the sun to each planet sweeps out equal areas in equal times; (3) the squares of the periods of the planets are proportional to the cubes of the mean distances from the sun (or, as Newton puts it, their periods are proportional to the '/iths... | |
 | Sura College of Competition - 2004 - 1030 стор.
...of planetary motion (1) The orbit of each planet is an ellipse with the Sun at one of the foci; (2) the Radius vector of each planet describes equal areas in equal times; (3) The squares of the periods of the planets are proportional to the cubes of their mean distances... | |
 | John R. Wilson, NIGEL CORLETT - 2005 - 1048 стор.
...tetween the Sun and the Planet sweeps out the same area in the same time no matter where in the orbit The squares of the periods of the planets are proportional to the cubes of their semimajor axes The square of the period of the orbit of a planet is proportional to the mean distance... | |
 | International Astronomical Union. Colloquium - 2005 - 568 стор.
...Astronomical Unit is Kepler's third law. advanced in his Harmonizes Mundi of 1619. This law holds that the squares of the periods of the planets are proportional to the cubes of the semimajor axes of their orbits. For this work, we will take the Astronomical Unit to be the average... | |
 | R. Douglas Gregory - 2006 - 14 стор.
...the straight line connecting the planet to the Sun sweeps out equal areas in equal times. Third law The squares of the periods of the planets are proportional to the cubes of the major axes of their orbits. The problem of determining the law of force that causes the motions... | |
 | Gordon Fisher - 2006 - 230 стор.
...Harmonices mundi (1619), this proposition had evolved into Kepler's third law of planetary motion, that the squares of the periods of the planets are proportional to the to the cubes of the semi-major axes of the ellipses in which they move. This law still stands, to a... | |
 | Roger G. Newton - 2007 - 366 стор.
...Again, the comforting beauty of uniform motion in the heavens was abandoned. The third law states that the squares of the periods of the planets are proportional to the cubes of their mean distance from the sun, a rule that especially satisfied Kepler's mathematical mysticism and made the... | |
 | 1144 стор.
...of planetary motion (1 ) The orbit of each planet is an ellipse with the Sun at one of the foci; (2) the Radius vector of each planet describes equal areas in equal times; (3) The squares of the periods of the planets are proportional to the cubes of their mean distances... | |
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