| Edward Isidore Sears, David Allyn Gorton, Charles H. Woodman - Periodicals - 1880
...motion of these parts would not be regulated by Kepler's third law of physical astronomy, viz.: that **the periodic times are proportional to the cubes of the mean distances.** The separation of this revolving nebula into distinct parts must have been the result of the attraction... | |
| George Biddell Airy - Astronomy - 1881 - 304 pages
...South Pole of the earth. From the relation of the motions of different planets expressed in Kepler's **third law (that the squares of the periodic times are proportional to the cubes of the** distances), it follows that the periodic times increase in a greater proportion than the distances... | |
| John Nelson Stockwell - Lunar theory - 1881 - 378 pages
...their centres from that of the sun. Lastly, from the law that the squares of the times of revolution **are proportional to the cubes of the mean distances from the sun,** he concludes, that the force is proportional to the mass. The same laws of motion are found to prevail... | |
| C. J. Kemper - Mechanics - 1882 - 265 pages
...: r,. (d) If T' : T? ::r* : r,', whence T* = 5^-, we have r, .. 1 . 1 : 7?"^1^ that is to say, when **the squares of the periodic times are proportional to the cubes of the** radii, the central forces will be inversely as the squares of the radii. This corresponds to the third... | |
| John Bradley Harbord - Naval art and science - 1883 - 421 pages
...each planet about the sun are, in the same orbit, proportional to the time of describing them; (3) **The squares of the periodic times are proportional to the cubes of the** major axes. It must, however, be borne in mind that, strictly speaking, the centre of the sun is not... | |
| Robert Stawell Ball - Astronomy - 1885 - 551 pages
...between the mean distance and the periodic time. That relation is stated in the following words : — " **The squares of the periodic times are proportional to the cubes of the mean distances."** Kepler saw that the different planets had different periodic times ; he also saw that the greater the... | |
| W. H. Laverty - Dynamics - 1889 - 224 pages
...year, from 91 to 94 million of miles. But if we take the mean distances, Kepler found by observation **that the squares of the periodic times are proportional to the cubes of the mean distances.** Therefore so far we have a corroboration of the 2nd law. 137. The 2nd law comes into this problem mainly... | |
| Frederic Harrison - Biography - 1892 - 644 pages
...distance. But what precisely was the law of this increase ? After laborious trial he found it to be **that the squares of the periodic times are proportional to the cubes of the mean distances.** Taking the mean solar distance and the period of the Earth as unity, if, in any other case considered,... | |
| Frederic Harrison - Biography - 1892 - 644 pages
...distance. But what precisely was the law of this increase 1 After laborious trial he found it to be **that the squares of the periodic times are proportional to the cubes of the mean distances.** Taking the mean solar distance and the period of the Earth as unity, if, in any other case considered,... | |
| Robert Stawell Ball - Sun - 1893 - 376 pages
...referred to the famous law of Kepler, which declares that for planets moving around the same primary **the squares of the periodic times are proportional to the cubes of the mean distances.** This principle will answer every question regarding the periodic time which the Moon would have it'... | |
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