All work here has been moved to Halo-Explorations!
This repository contains a report and a Pluto notebook which which implement analytical and numerical Halo Orbit solvers with the Julia Programming Language. The primary source for this project is Rund's Masters Thesis at Cal Poly. In addition to implementing Halo Orbit solvers, the report and notebook also summarize how invariant manifolds about Halo Orbits can be used to design low-cost interplanetary transfers. This project was completed as part of the University of Maryland's graduate astrodynamics course, ENAE601.
Halo orbits are theoretically perfectly periodic orbits about equilibrium positions (a.k.a. Lagrange points) within the Circular Restricted Three-body Problem. All Halo Orbits are surrounded by stable and unstable manifolds. These manifolds can be used to carry a spacecraft closer to a desired destination without spending fuel. As Rund shows, this can be used to drastically lower the fuel costs required for interplanetary trajectories.