But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent of secular changes. They are so connected by Kepler's law, of the squares of the periodic times being proportional... Mechanism of the Heavens - Page xivby Mary Somerville - 1831 - 621 pagesFull view - About this book
| Isaac Newton, Percival Frost - 1878 - 326 pages
...produced by the planets on each others orbits, the statement of Kepler's third law should be amended **to " The cubes of the mean distances of the planets from the sun** are as the squares of the periodic times multiplied into the sum of the masses of the sun and the planet.... | |
| Edward John Chalmers Morton - 1882 - 372 pages
...the laborious calculations in which he was involved. The result he ultimately arrived at was that " **The cubes of the mean distances of the planets from the sun** are to one another as the squares of the times they take to describe their orbits." His delight at... | |
| Ernst Mach - 1893 - 648 pages
...joining each planet with the laws. Their . . part in the sun describes equal areas in equal times. 3) **The cubes of the mean distances of the planets from the sun** are proportional to the squares of their times of revolution. He who clearly understands the doctrine... | |
| Ernst Mach - 1893 - 566 pages
...with the laws. Their , . ,' . % . part in the sun describes equal areas in equal times. discovery. 3) **The cubes of the mean distances of the planets from the sun** are proportional to the squares of their times of revolution. He who clearly understands the doctrine... | |
| Isaac Newton - 1900 - 320 pages
...produced by the planets on each others orbits, the statement of Kepler's third law should be amended **to " The cubes of the mean distances of the planets from the sun** are as the squares of the periodic times multiplied into the sum of the masses of the sun and the planet.... | |
| William Watson - 1902 - 1022 pages
...at one of the foci. 3. The squares of the time taken to describe its orbit by different planets are **proportional to the cubes of the mean distances of the planets from the sun.** Thus if 7\ and Tt are the times taken by two planets to describe their orbits, and Z>, and Z>2 are... | |
| Simon Newcomb - 1902 - 370 pages
...swept over by the line joining the planet and sun in equal times are all equal. The third law is that **the cubes of the mean distances of the planets from the sun** arc proportional to the squares of their times of revolution. This law requires some illustration.... | |
| Edwin Fitch Northrup - 1917 - 232 pages
...acceleration toward the sun is constant.) (Consult Mach, Science of Mechanics, p. 188.) KEPLER'S THIRD LAW. **The cubes of the mean distances of the planets from the sun** are proportional to the squares of their times of revolution about the sun. This law may be stated... | |
| Edward Arthur Fath - 1926 - 328 pages
...with the sun at one focus. 2. The radius vector of a planet sweeps over equal areas in equal times. 3. **The cubes of the mean distances of the planets from the sun** are proportional to the squares of their sidereal periods. 1. From the historical standpoint the first... | |
| B. BiĆ©kowska - 1973 - 170 pages
...problem which preoccupied his thoughts for over twenty years. In the terminology of his day it states: **the cubes of the mean distances of the planets from the Sun,** divided by the squares of the periods of revolution, are equal for all the planets. The experiments... | |
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