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It is shown that orbital period ratios of successive secondaries in the Solarplanetary and giant satellite systems and in exoplanetary systems arepreferentially closer to irreducible fractions formed with Fibonacci numbersbetween 1 and 8 than to other fractions, in a ratio of approximately 60% to40%. Furthermore, if sets of minor planets are chosen with gradually smallerinclinations and eccentricities, the proximity to Fibonacci fractions of theirperiod ratios with Jupiter or Mars$'$ period tends to increase. Finally, asimple model explains why the resonances with ratios of orbital periods $P_{1}$and $P_{2}$ of successive secondaries being equal to ratio of small integers$p$ and $(p+q)$, $P_{1}/P_{2}=p/(p+q)$, are stronger and more commonlyobserved.

Orbital Period Ratios and Fibonacci Numbers in Solar Planetary and Satellite Systems and in Exoplanetary Systems