An Analog Computer Simulation of the Restricted Three-Body Problem by Automatic Scale-Changing Techniques

This paper describes a method for solving, on a standard analog computer, problems with wide dynamic ranges. Specifically treated is the restricted three-body problem, numerous examples of which are presented, as well as comparisons to digital results. Some attendant problems are discussed. Limited dynamic range, capacitor dielectric absorption, and electronic multiplier limitations are described in some detail. Automatic scale-changing techniques are detailed, which produce the high accuracy shown, as well as providing near-optimum scaling at all times.