Quasi-periodic invariant tori and retrieval of Near-Earth Asteroids using low-energy trajectories

Near-Earth Asteroids (NEAs) have attracted the attention of the scientific community in the last few years. Not only because of their importance to life on Earth but also their scientific potential and possible economic returns. This work explores the use of quasi-periodic orbits to bound the motion of NEAs close to the Earth’s vicinity for...

Optimal Trajectories in the Earth-Moon CR3BP system

The aim of this investigation is to improve the first stage of mission analysis on trajectories in the Circular Restricted Three-Body Problem (CR3BP). This will be achieved by developing a versatile tool that can optimize any transfer in the CR3BP in terms of ΔV and time of flight. Hence, the output will not be<br/>a single solution, but a...

Low-energy transfers from GTO to lunar Halo orbits: rideshare options and sensitivities

In this research project, the design of a smallsat mission to a Halo orbit around the Earth-Moon second libration point (EML-2) using a rideshare launch opportunity to an inclined geosynchronous transfer orbit (GTO) was investigated. <br/>The design leverages classical results from Dynamical Systems Theory (DST) to determine low-energy transfers...

Connecting hyperbolic invariant manifolds at variations of the Poincaré section orientation: A numerical investigation into novel transfer solutions connecting collinear periodic libration point orbits through their associated manifold structures

The three-body problem (3BP) formulated by I. Newton has inspired many great mathematicians like L. Euler (1707-1783), J.L. Lagrange (1736-1813), K.G.J. Jacobi (1804-1851), W.R. Hamilton (1805-1865) and J.H. Poincaré (1854-1912) to develop mathematical studies, methods and theories in an attempt to solve this problem. Although these concepts...