The significance of the Titius-Bode law and the peculiar location of the Earth's orbit

Details The significance of the Titius-Bode law and the peculiar location of the Earth's orbit The significance of the Titius-Bode law and the peculiar location of the Earth's orbit

Jun 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004mnras.351..133n&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 351, Issue 1, pp. 133-136.

Astronomy and Astrophysics

Astronomy

7

Methods: Statistical, Earth, Planets And Satellites: Formation

Scientific paper

Using the Lynch method, we continue the discussion on the statistical significance of agreement between planetary distributions and a power law. The Lynch method determines the probability that a power law (e.g. the Titius-Bode law) will agree by chance, at the observed level, with a given sequence of planetary distances. We find interesting results by assuming not only that the mean asteroid-belt distance should be considered as a regular planetary distance, but also that the current distance of the Earth should be regarded as peculiar and omitted from the Titius-Bode law. We examine these assumptions under two cases: (a) where no physical limitations are imposed and (b) where relatively close planetary orbits are excluded. We find that the corresponding sequence of distances matches the power law by chance with a probability of only 0.3 per cent for case (a) and 3 per cent for (b). These values are in direct contrast to those corresponding to the traditional Titius-Bode law as well as those corresponding to some common alternative assumptions. These range from 29 to 100 per cent for (a) and 95 to 100 per cent for (b).

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