A new empirical formula for satellite distances and its explanation

Statistics – Computation

Scientific paper

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Computational Astrophysics, Distance, Gas Giant Planets, Natural Satellites, Accretion Disks, Fluid Dynamics, Protoplanets

Scientific paper

An empirical formula (an = Bl x B to the n-th), has been developed for calculating the distances of the n-th satellites in the Jovian, Saturnian, and Uranian systems. The formula is based on the fluid dynamical properties of planetesimal accretion in the gas-planetesimal disk surrounding the planets. Comparison of the known distances with values calculated by means of the empirical formula showed an average difference of only 10 percent for all the satellites of Jupiter, Saturn and Uranus. The observed distances are compared with derived values in a table.

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