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Updated: May 23, 2025
Here, then, is the mathematical formula, which is known as Bode's Law: Write from left to right a row of 4's and under these, beginning with the second 4, place a geometrical series beginning with 3 and increasing by the ratio of 2; add the two columns together, and we have a series running 4, 7, 10, etc.; and this row of results has an astonishing coincidence, or approximate coincidence with the relative distances of the planets from the sun thus: 4 4 4 4 4 4 4 4 4 3 6 12 24 48 96 192 384 4 7 10 16 28 52 100 196 388
They had both proceeded upon the principle expressed in Bode's Law. This law indicated the place of Neptune as 38.8 times the distance of the earth from the sun. A verification of the result showed that the new-found planet was actually only thirty times as far as the earth from the sun.
Which was, when one thought about it, inevitable. This was a Sol-type sun, of the same kind and color as the star which warmed the planet Earth. It had planets, like the sun of men's home world. There was a law Bode's Law which specified that planets must float in orbits bearing such-and-such relationships to each other.
In addition to Kepler's prediction and the indications of Bode's Law, there was a general reason for thinking that a planetary body of some kind should occupy the space between the orbits of Mars and Jupiter. The mean distance of Mars from the sun is about 141,500,000 miles; that of Jupiter, is about 483,000,000 miles. The distance from one orbit to the other is therefore about 341,500,000 miles.
Amongst the Earl of Egremont's papers Von Zach had discovered Harriot's observations on Halley's comet at its appearance in 1607, and published them as a supplement to Bode's Annual.
Bode's opinion that the homely simple portraits painted in ordinary costume and under ordinary conditions of light during Rembrandt's first three years in Amsterdam are intellectually more worth while than the earlier more personal works. The theory is that he turned them out in competition with his contemporaries and eclipsed them on their own ground.
According to Bode's Law there ought to be a planet like ours between Mars and Jupiter. If there was, it blew itself to pieces, or maybe the people on it had an atomic war." Gail cocked her head to one side. "Now, that promises!" she said. "Keep on!" "There ought to be a planet between Mars and Jupiter, in a certain orbit," he told her. "There isn't.
This bold prediction was brilliantly fulfilled by the finding of two more Juno in 1804, and Vesta in 1807. Olbers would seem to have been led to the invention of his hypothesis of a planetary explosion by the faith which astronomers at that time had in Bode's Law.
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