Abstract
EXACTLY two hundred years ago, Titius1 published a mnemonic for the mean distances of the planets from the Sun. His rule was where αi is the major semi-axis of the orbit of the ith planet from the Sun. Titius's law represents the distances of the then known planets with an accuracy of a few per cent, provided that (i) for Mercury, we take i= −∞ instead of i=1 and (ii) the orbital i=5 is left vacant. The law made three valid predictions. Uranus (discovered by William Herschel in 1781) fits the orbital i=8. After the discovery of Uranus, Bode publicized the law, which became known as Bode's Law. The search for a planet for i=5 culminated in the discovery of the first asteroid, Ceres, in 1801. Recognition of a similar law for the satellite system of Saturn led to the discovery of Hyperion in 1848.
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References
Titius, J. D., footnote to Bonnet's Contemplations de la Nature, second edition, 7 (1772).
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Ovenden, M. W., Proceedings of NATO Advanced Institute in Dynamical Astronomy, Cortina d' Ampezzo (in the press).
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Roy, A. E., and Ovenden, M. W., Mon. Not. Roy. Astron. Soc., 115, 296 (1955).
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OVENDEN, M. Physical sciences: Bode's Law and the Missing Planet. Nature 239, 508–509 (1972). https://doi.org/10.1038/239508a0
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DOI: https://doi.org/10.1038/239508a0
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