Abstract
Abstract In this paper new formulae for the computation of orbital periods and mean distances of secondary bodies from a primary central body are given as a function (i) of an integer orbit number, and (ii) of the mass of the primary. Not all orbits numbered by the consecutive integers are occupied by the secondaries; on the contrary, most of them remain empty. It has been found that the mass of the primary, for which the formulae are valid, must be greater than M o = 1.747M Earth. The mean primary/secondary distances and orbital periods agree surprisingly accurately with the real ones for all systems considered (Solar, Jovian, Saturnian, Uranian and Neptunian, Table 7).
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