Abstract

A brief description of a project to determine the chaotic regions of the inner and outer solar system (Project CRISS-CROSS) is presented. Taking the planar, circular restricted three-body problem, for a mass ratio μ = 10 −3 we have determined the regular and chaotic regions of the phase space for a variety of starting conditions using the techniques of Poincare Surface of Section (PSS) and the calculation of the Liapunov Characteristic Exponent (LCE). A preliminary comparison of these two techniques shows that there is some advantage in using the PSS method and that it can help to understand the LCE results.

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