Mean orbital distances of planets from the Sun and of major satellites from the parent planets Jupiter, Saturn and Uranus are described by the square law, where the values of are consecutive integers, and is the mean orbital distance expected at for a particular system. Terrestrial planets and Jovian planets are analysed as separate systems. Thus, five independent solar-like systems are considered. The basic assumption is that specific orbital angular momentum is �quantized�. Consequently, all orbital parameters are also discrete. The number relates to the law of orbital spacing. An additional discretization, related to, i.e. to the scale of orbits, accounts for the detailed structure of planar gravitational systems. Consequently, it is also found that orbital velocity multiplied by is equal to the multiple of a fundamental velocity, valid for all subsystems in the Solar System. This velocity is equal to one of the �velocity� increments of quantized redshifts of galaxies.