 | Perry Fairfax Nursey - 1836 - 502 oldal
...been attended by at least five moons. We shall see how this agrees with one of Kepler's laws, namely, that the squares of the periodic times are as the cubes of the mean distances from the sun. Let t and T be the periodic times, of two planets, </ and D their mean... | |
 | John BRINKLEY (Bishop of Cloyne.) - 1836 - 334 oldal
...satellites. It is found that the satellites of Jupiter move round Jupiter in orbits nearly circular, and that the squares of the periodic times are as the cubes of their distances from the primary. Whence it may be easily shewn, that they are constantly impelled... | |
 | Hugh Murray - 1837 - 612 oldal
...system. When the mean distances of the planets are compared, and also their periodical times, it is found that the squares of the periodic times are as the cubes of the distances. The great general facts which have now been pointed out respecting the orbits of the planets,... | |
 | Denison Olmsted - 1839 - 306 oldal
...known, the mean distance of any planet (its periodic time being known) may be found by Kepler's law, that the squares of the periodic times are as the cubes of the distances. The method of finding the distance of an inferior planet from the sun by observations at... | |
 | Henry Brougham Baron Brougham and Vaux - 1839 - 532 oldal
...sfluare of the distai«:e. Now if n — 5 , T : / : : H' : r* or T1 : <« : : K' : r1 ; in other words the squares of the periodic times are as the cubes of the distances from the centre, which is the law discovered by Kepler actually to prevail in the cane of... | |
 | 1840 - 1046 oldal
...swept by each radius vector in a given time is a constant quantity for the same planet, and lastly, that the squares of the periodic times are as the cubes of the mean distance, have supplied means for a much more accurate determination of the sun's parallax. Assuming... | |
 | Joseph Denison - 1842 - 56 oldal
...conformable to the famous analogy discovered by Kepler in the A 3 beginning of the 17th century, viz. that the squares of the periodic times are as the cubes of the mean distances ; by demonstrating it from his own two analogies, which he considered as an abundant... | |
 | Andrew Searle Hart - 1847 - 156 oldal
...the velocities proportional to the radii, the centrifugal forces are directly as the radii. Again, if the squares of the periodic times are as the cubes of the radii, and therefore the squares of the angular velocities inversely as the cubes of the radii, the... | |
 | Anna Cabot Lowell - 1850 - 378 oldal
...swept by each radius vector in a given time is a constant quantity for the same planet, and, lastly, that the squares of the periodic times are as the cubes of the mean distances, have supplied means for a much more accurate determination of the sun's parallax. Assuming... | |
 | James McCosh - 1851 - 540 oldal
...by lines drawn from the sun to the planet are proportional to the times employed in the motion, and that the squares of the periodic times are as the cubes of their distances. It is because of the constant presentation of regular forms and numbers in the shapes... | |
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... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances. 
