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" The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. "
Elements of Astronomy: Descriptive and Physical ... - Sivu 80
tekijä(t) Hervey Wilbur - 1831 - 144 sivua
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American Practical Navigator, Nide 1

1977
...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....

An Introduction to Astronomy

John Bonnycastle - 1816 - 428 sivua
...the most accurate observations, he discovered, 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...

Mechanism of the Heavens

Mary Somerville - 1831 - 621 sivua
...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...

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

Hervey Wilbur - 1834 - 144 sivua
...series of the most accurate observations, that the squares of the periods, in which any two planets complete their revolutions in their orbits, are proportional...proportion requires illustration. Let the period of the Earth's revolution, be called 12 months, and the period of Mercury's revolution, 3 months. By the...

On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 458 sivua
...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...

On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 458 sivua
...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...

The Encyclopædia of Geography: Comprising a Complete Description of ..., Nide 1

Hugh Murray - 1837
...From Kepler's third law, we know that the squares of the periodical times of any two of the planets are proportional to the cubes of their mean distances from the sun. This law is independent of the eccentricities of the orbits; and the same relation would subsist between...

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

William Augustus Norton - 1839 - 373 sivua
...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....

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

Roswell Park - 1841 - 587 sivua
...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...

Uranography: Or, A Description of the Heavens; Designed for Academics and ...

Ezra Otis Kendall - 1845 - 365 sivua
...in making a revolution. Kepler discovered that the squares of the periodic times of any two planets are proportional to the cubes of their mean distances from the sun. Take, for example, the Earth and Mars, whose periods are 365.2504 and 686.9796 days, and whose distances...




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