...in 1619 he published the third law — The squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. For example: The square of Jupiter's period is to the square of Mars's period as the cube...

...time ; and, lastly, that the squares of the times in which the several planets complete a revolution round the sun are proportional to the cubes of their mean distances from it. These three laws were deduced from actual examination of the movements of the planets. Kepler did...

...twice as far. Kepler's third law is : " The squares of the periodic times of the planets' revolution N v r c љ' Gy .~t ;NYAK c - ;A | :ўם׽C ?(?ދ him." In the latter part of December, 1900, the little planet was so near that two observers, one in...

...Kepler's third law, which says : " The squares of the periodic times of the planet's revolution around the Sun are proportional to the cubes of their mean distances from him." Eros, at rare intervals, approaches to within thirty-five million miles of the Earth. It will...

...motion. It may be stated as follows : "The squares of the times of revolution of any two planets about the sun are proportional to the cubes of their mean distances from the sun." This law is shown by the figures in the following table: Planets Distance Cube of Dist. Period...

...in 1619) is, that the squares of the periods or times of revolution of the different planets about the Sun are proportional to the cubes of their mean distances from the Sun. By way of illustration, suppose the period or time of revolution of one planet is eight times...

...equal areas in equal times; the third, that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from that body. The first two laws were discovered by Kepler in the course of a laborious examination of...

...third law : — The squares of the times of revolution of any two planets (including the earth) about the sun are proportional to the cubes of their mean distances from the sun. In his delight he exclaims 'Nothing holds me, I will indulge in my sacred fury ; I will triumph...

...equal intervals of tune ; and (c) that the squares of the times which any two planets take to complete their revolutions round the sun are proportional to the cubes of their mean distances from the sun. Newton showed that these laws could all be deduced from the law that the planets (or, more...

...describes equal areas in equal times. 3. The squares of the times of revolution of any two planets about the Sun are proportional to the cubes of their mean distances from the Sun. It will be noted that the first two laws concern the motion of any one planet and the third...