 | 1977 - 1412 էջ
...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.... | |
 | New Church gen. confer - 1855 - 590 էջ
...the present planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not seen.... | |
 | 1823 - 894 էջ
...some relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of the Orbit j of the Comets. OF all the celestial bodies,... | |
 | Mary Somerville - 1831 - 710 էջ
...the orbits of the planets and comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets...proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts on a moving body be known, the... | |
 | Mary Somerville - 1831 - 720 էջ
...indefinitely small time dt, is J cdt ; hence the law of Kepler gives whence (85) But, by Kepler's third law, the. squares of the periodic times of the planets...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,... | |
 | Mary Somerville - 1834 - 390 էջ
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets...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... | |
 | Mary Somerville - 1834 - 484 էջ
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets...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... | |
 | William Augustus Norton - 1839 - 530 էջ
...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... | |
 | 1840 - 556 էջ
...time in which a body revolves around the sun, we can find the longer axis of its orbit by Kepler's law — that the squares of the periodic times of the planets are to one another as the cubes of the major ones of their orbits. This law is known to govern all the... | |
 | 1840 - 550 էջ
...time in which a body revolves around the sun, we can find the longer axis of its orbit by Kepler's law — that the squares of the periodic times of the planets are to one another as the cubes of the major ones of their orbits. This law is known to govern all the... | |
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The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. 
