Abstract

In this thesis, the continuation and bifurcation software AUTO is used to compute periodic solutions of the circular restricted Three-Body problem (CR3BP). Periodic solution families for the Sun-Earth, the Earth-Moon, and the Sun-Jupiter system are studied in detail. Bifurcation diagrams for these systems are presented. Corresponding periodic orbits are also shown. To understand the solution structure better, a new data visualization package, PLAUT04, has been developed for AUTO. It reads AUTO data files and creates solution diagrams and bifurcation diagrams. This new package can also be used to animate solutions. A special version of PLAUT04, called PLAUT04/r3b, has been developed for the CR3BP. Using PLAUT04/r3b, we can animate solutions both in a rotating frame and in an inertial frame. These new graphics packages for AUTO have good rendering speed, flexibility, and display quality. A user-friendly interface makes both easy to learn and use.