It was early noted that, except in one instance, the planets seemed
to show in their distance from the sun something like a mathematical
progression. Struck by this appearance, an astronomer named Bode worked
it out into a formula, known ever since as Bode’s law, though the idea
seems to have originated with another astronomer. One almost always
sees it mentioned in any work dealing with this phase of planetary
history, and it is especially interesting because of the part it played
in the discovery of the planetoids. It was as follows: Beginning with
nothing for Mercury, add three for Venus, twice three, or six, for the
earth, twelve for Mars, and continue thus to double the number for each
planet out to and including Saturn. Then to each one of the numbers so
obtained add four, and the numbers resulting will very nearly represent
the relative distances of the planets from the sun. Thus:
0 3 6 12 24 48 96 192 384
4 4 4 4 4 4 4 4 4
-------------------------------------------
4 7 10 16 28 52 100 196 388
The exception was that at the fifth number, 28, there was no planet to
correspond, and Jupiter was nearly twice as far away from Mars as it
should have been to conform to the law, thus leaving room for another
planet to occupy the allotted position and fill out this very beautiful
progression.
About nine years after this law was set forth Uranus was discovered
circling out in space far beyond Saturn, and was found to conform to
the law in a most satisfactory manner, its distance being approximately
twice that of Saturn. With such close accord between the actual
distances and the prescribed distances of the planets from the sun, and
with the one exception leaving almost exactly the space allotted by
Bode’s law for another planet, astronomers naturally had a very strong
feeling that there must be another planet between Mars and Jupiter.
They accordingly set to work to prove this, if possible, and to find
what had become of this lost member of the planet family, if it ever
existed.
Public-domain text, read in full here on John Shaqi.
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