The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun ; that is, ti2 : k2 ,• ,• ai3 ,• (h3This is the so-called harmonic law. Encyclopedia of the Solar System - Page 56redigeeritud poolt - 2006 - 992 lehteLimited preview - About this book
| John Bonnycastle - 1816 - 428 lehte
...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 - 1831 - 621 lehte
...the 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 - 1831 - 144 lehte
...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 - 1834 - 458 lehte
...conic 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... | |
| Mary Somerville - 1834
...conic 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... | |
| Hervey Wilbur - 1834 - 144 lehte
...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,... | |
| 1837
...than it 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 - 1839 - 373 lehte
...is an 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 - 1841 - 587 lehte
...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... | |
| John Gummere - 1842 - 471 lehte
...the sun and their mean distances from him, Kepler discovered that the squares of the periodical times **of the planets are proportional to the cubes of their mean distances from** him. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24,... | |
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