A fast method for quantitatively measuring stability in a three-body dynamical system (Q1892064)

First, a formal definition of the planar circular restricted three-body problem is presented, and the corresponding equations of motion are described. These are then linearized and the analytical boundaries for the linearized equations are developed using the results of \textit{D. Mittleman} [Motion about the stable libration points in the linearized restricted three-body problem, NASA Reference Publication 1065 (1980)]. Accordingly, a set of maximum velocity and maximum displacement envelopes is established creating a base for the final stability investigations. In the paper, both analytical and numerical approaches to stability are combined, which results in a global measure of stability.