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Fitting Selected Random Planetary Systems to Titius–Bode Laws

Overview Simple ‘‘solar systems’’ are generated with planetary orbital radii r distributed uniformly random in log r between 0.2 and 50 AU, with masses and order identical to our own Solar System. A conservative stability criterion is imposed by requiring that adjacent planets are separated by a minimum distance of k times the sum of their Hill radii for values of k ranging from 0 to 8. Least-squares fits of these systems to generalized Bode laws are performed and compared to the fit of our own Solar System. We find that this stability criterion and other ‘‘radius-roughly describes the planetary semi-major axes in astro- exclusion’’ laws generally produce approximately geometrically spaced planets that fit a Titius–Bode law about as well as our nomical units (AU), with Mercury assigned i 52y, Venus own Solar System.

Further White Paper Details
Publisher	University of Toronto	File Format	PDF, requires Acrobat Rdr 5
Date Published	August 2003	Downloads	50
Format	White Papers
Topics	Data Compression, Astronomy

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