 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
 | Robert Gibbes Thomas - 1919 - 598 стор.
...motion. INTEGRAL CALCULUS I. The orbits of the planets are ellipses, of which the sun occupies a focus. II. The radius vector of each planet describes equal areas in equal times. III. The squares of the periodic times of the planets are as the cubes of the major axes of their orbits. The statement of... | |
 | Henry Norris Russell, Raymond Smith Dugan, John Quincy Stewart - 1926 - 514 стор.
...as follows : (1) The orbit of each planet is an ellipse with the sun in one of Us foci (§311). (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... | |
 | William Duncan MacMillan - 1927 - 460 стор.
...in Sec. 300, Pi1 = *,'QS + m,) Oif PI Ki'OS + mi) ' a,3' According to Kepler's third law, however, the squares of the periods of the planets are proportional to the cubes of their mean distances. Hence, so far as Kepler could detect, the factor is equal to unity. Actually mi and m2 are not equal,... | |
 | 1878 - 698 стор.
...19d. 17h." The application of Kepler's third law, namely — that the squares of the periodic times of the planets are proportional to the cubes of their mean distances, gives a remarkable semblance of truth to Le Verricr's " Elements." On March 20th, 1802, Lummis, in... | |
 | Norwood Russell Hanson - 1979 - 260 стор.
...vector from sun to planet sweeps out equal areas in equal times. (These two laws were given in 1609.) 3. The squares of the periods of the planets are proportional to the cubes of the mean distances. (This law was given in 1619.) Imagine planet P moving elliptically, the sun S being... | |
 | Albert Van Helden - 2010 - 213 стор.
...planets is precisely the sesquialter of the ratio of their mean distances,"15 or, in modern terms, the squares of the periods of the planets are proportional to the cubes of their heliocentric distances. This is Kepler's third law. The periods of the planets had always been subject... | |
 | Vincent L. Pisacane, Robert Clark Moore - 1994 - 788 стор.
...of the foci 2. The radius vector from the Sun to a planet sweeps out equal areas in equal times 3. The squares of the periods of the planets are proportional to the cubes of the semimajor axes. It is shown here that Kepler's laws follow directly from the solution of the twobody... | |
 | Glenn Fulford, Peter Forrester, Arthur Jones - 1997 - 420 стор.
...focus. 2. The area swept out by a ray from the sun to the planet is proportional to the time taken. 3. The squares of the periods of the planets are proportional to the cubes of the major axes of their orbits. Kepler's laws were based on the observations of the planets' motion... | |
 | Moustafa Gadalla - 2000 - 192 стор.
...A line joining a planet/comet and the Sun sweeps out equal areas in equal intervals of time. Law 3. The squares of the periods of the planets are proportional to the cubes of their semi-major axes. "Now, eighteen months after the first light, three months after the true day, but... | |
 | Moustafa Gadalla - 2001 - 192 стор.
...A line joining a planet comet and the sun sweeps out equal areas in equal intervals of time. Law 3. The squares of the periods of the planets are proportional to the cubes of their semi-major axes. Yet none of these Western academicians tell us how Kepler arrived (out of thin air)... | |
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