CONTINUATION OF PERIODIC ORBITS AROUND LAGRANGE POINTS AND AUTO2000

摘要

AUTO is a software tool for continuation and bifurcation problems in ordinary differential equations, originally written in 1980 and widely used in the dynamical systems community. In this paper we discuss the parameter continuation algorithms that underlie the AUTO2000 software and demonstrate how they may be applied to the gravitational Circular Restricted 3-Body Problem (CR3BP). Our computational focus is families of periodic orbits which emanate from the L1 Lagrange point in the CR3BP.