 | Nautical astronomy - 1977 - 1412 pages
...vector) sweeps over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets are proportional to the cubes of their mean distances from the sun. In 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets.... | |
 | John Bonnycastle - Astronomy - 1816 - 490 pages
...that the squares of the times in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the sun. To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and... | |
 | Mary Somerville - Celestial mechanics - 1831 - 720 pages
...law of Kepler gives whence (85) But, by Kepler's third law, the. squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun ; therefore T' = *" a\ k being the same for all the planets. Hence c == but 2a (1 — e*) is 2SV, the... | |
 | Hervey Wilbur - Astronomy - 1831 - 170 pages
...the squares of the periods, in which any two pla* nets complete their revolutions in their orbits, are proportional to. the cubes of their mean distances from the Sun. \ This proportion requires illustration. Let the period of tha Earth's revolution, be called 12 months,... | |
 | Mary Somerville - Physical sciences - 1834 - 666 pages
...sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which is not sensible,... | |
 | Mary Somerville - Physical science - 1834 - 390 pages
...sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which is not sensible,... | |
 | Hervey Wilbur - Astronomy - 1834 - 172 pages
...that the squares of the periods, in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the Sun. This proportion requires illustration. Let the period of the Earth's revolution, be called 12 months,... | |
 | Western Literary Institute and College of Professional Teachers - Education - 1837 - 286 pages
...would lead him to the knowledge of the Keplerian law, that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun's centre! ' These are subsequent efforts. A child of four years of age can say, "God exists," but... | |
 | William Augustus Norton - Astronomy - 1839 - 530 pages
...ellipse, of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. These laws are known by the denomination of Kepler's Laws.... | |
 | Roswell Park - Best books - 1841 - 722 pages
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being... | |
| |
The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
