Orbits of Natural Satellites

Physics

Scientific paper

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Scientific paper

BODE's law, a three-parameter formula giving the distances of the planets from the Sun, is well known. In a recent communication, Woolfson1 discussed whether Bode-type laws also applied to the innermost satellites of Jupiter, Saturn and Uranus and arrived at the conclusion that agreement was then less precise. It is the object of this communication to point out that the distances of all known satellites from the centre of the parent body can be given reasonably accurately by a simple two-parameter formula, subject to the assumption that vacant positions sometimes occur.

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