Abstract
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).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.