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A formula by which the distances of the first seven planets from the sun are roughly derived in terms of powers of two.
‘When Sir William Herschel discovered Uranus, the seventh planet, in 1781, at a distance that corresponded to Bode's law, scientific excitement about the validity of this mathematical expression reached an all-time high.’
‘This assumption was strengthened in 1781 when William Herschel identified Uranus at a distance of 19.2 astronomical units, very close to the predicted position after Saturn, which gives a result according to Bode's law of 19.6.’
‘Bodes Law was a mathematical concept developed for predicting planetary distances in this solar system.’
‘At the academy Gauss independently discovered Bode's law, the binomial theorem and the arithmetic - geometric mean, as well as the law of quadratic reciprocity and the prime number theorem.’
‘However, the next planets did not fit well at all into the law, though a few scientists still argue today that Bode's law must be more than a mathematical coincidence and result from a physical cause.’
Origin
Mid 19th century: named after Johann E. Bode (1747–1826), the German astronomer who drew attention to the law, which was discovered earlier by his countryman, Johann D. Titius (1729–96).