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The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
History of Astronomy - Page 53
by George Forbes - 1909 - 200 pages

## The National Quarterly Review

...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...

## Popular Astronomy: A Series of Lectures Delivered at Ipswich

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...

## Theory of the Moon's Motion: Deduced from the Law of Universal Gravitation

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...

## An Elementary Treatise on Mechanics

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...

## The Story of the Heavens

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...

## The Laws of Motion: An Elementary Treatise on Dynamics

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...

## The New Calendar of Great Men: Biographies of the 558 Worthies of All Ages ...

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,...