...are proportional to these lengths of time. (3) The squares of the periodic times of different planets are proportional to the cubes of their mean .distances from the sun, that is, of the semi-axes major of their elliptic orbits. If the sun and planets be considered material...

...last his labour issued in the discovery that the squares of the times of the planetary revolutions are proportional to the cubes of their mean distances from the sun : a law which all subsequent observations have verified. One important result of this law is that we...

...one of its foci in the sun's centre. III. That the squares of the periodic times of the planets about the sun are proportional to the cubes of their mean distances from that body. These are called the laws of Kepler, and lead directly to a knowledge of the nature of the...

...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 the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on opposite...

...remains," we are happy to learn, by the permission of the new school, " unshaken to its proper citent ; it repeats the law of that great force of central...calculations, that all the planets are attracted by the sanie absolute force towards the sun. How Mr. Mushet's kind patronage of Kepler's third law, to the...

...of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,...

...of the sun is one of the foci, 3°. The squares of the times of revolution of the different planets are proportional to the cubes of their mean distances from the sun, or the semi-major axes of their orbits. These laws relate only to the center of inertia of each planet,...

...fastest when nearest to the sun, 1 slowest when farthest from him. 3. The squares of their periodic times are proportional to the cubes of their mean distances from the sun. 8. It is with the latter of these laws alone that we are concerned at present, and its use in investigating...

...the periodic times of the planets, that is, of the times of a complete revolution in their orbits, are proportional to the cubes of their mean distances from the sun ; in other words, that the square of the periodic time of one planet is to the square of the periodic...

...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 the sun. 155. To find the position of the line of the apsides of the solar orbit. Let B and D, Fig. 24, on,...