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Raamatud Books 1 - 10 of 165 on The squares of the periods of the planets are proportional to the cubes of their....
" 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 56
redigeeritud poolt - 2006 - 992 lehte
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An Introduction to Astronomy

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...
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Mechanism of the Heavens

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...
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Elements of Astronomy: Descriptive and Physical ...

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,...
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On the Connexion of the Physical Sciences

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...
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The connexion of the physical sciences

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...
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Elements of Astronomy, Descriptive and Physical: In which the General ...

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,...
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Transactions of the ... Annual Meeting of the Western Literary ..., 6. köide

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...
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An Elementary Treatise on Astronomy: In Four Parts. Containing a Systematic ...

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....
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

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...
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An Elementary Treatise on Astronomy: In Two Parts. The First Containing, a ...

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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