| Nautical astronomy - 1977
...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 - 428 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 - 621 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 - 144 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 - 458 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 - 356 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 - 144 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
...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 - 373 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 - 587 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... | |
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