Ancient and Modern Physics by Thomas E. Willson
page 48 of 83 (57%)
page 48 of 83 (57%)
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were a mile more per hour, then the earth would wind out, each
year getting farther and farther away, until finally it would be lost. When the speed is exactly proportional to the pull--that is, when it is as 1.6 is to 2,--the result is a circular orbit, the eccentricity of which is caused by certain fluctuations in the attraction and repulsion. "Suppose a planet were to be placed so that it would have a time of two years. Its distance from the sun would be 1.6 that of the earth. Why? Because to get the time doubled we would have to take the square root of 4; and to get the distance the cube root of the same number, 4. If you wish to be very exact the cube root is 1.5889, but 1.6 is near enough for all ordinary work. "If you wanted to find out the distance of a planet revolving in six months you would divide the earth's distance by 1.6. "In proportion you get any time or distance you may desire with absolute accuracy. The distance of any planet from the sun gives its time, or its time gives its distance--when that of any of the others is known. This law applies throughout the universe; in everything and everywhere. It is not a law of orbital revolution alone, but a law of all motion. "Our moon has a time of 29 days and a speed of about 50,000 miles per day. If the speed were greater it would leave us, if less it would wind up, falling to the earth in the form of a spiral. "At what distance would it have to be to have a time of fourteen days? Divide 240,000 miles by 1.6. A seven-day moon, would be |
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