Dia: Dimecres, 28 de febrer de 2024
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Jared Todd Blanchard, Standford University
Títol: Analysis of Invariant Funnels in the Circular Restricted Three-Body Problem
Resum: Scientists have identified the ocean worlds Europa and Enceladus as the most promising targets in the search for life in the solar system. Designing trajectories to such deep space targets requires balancing fuel and time constraints. Study of the Circular Restricted Three-Body Problem (CR3BP) has allowed mission designers to find very efficient trajectories that arrive in realistic time frames. Mission design work relies on using the periodic and quasi-periodic orbits that add structure to the chaotic dynamics of the CR3BP, as well as their hyperbolic invariant manifolds to intelligently sample the state space. In this presentation, we review our novel method for computing invariant funnels around non-periodic trajectories that approach the secondary body. Invariant funnels are sets of trajectories that converge in position space to a target point and can often be generated in backward time by imposing a parallel velocity condition. We review some of their applications to mission design for the ocean worlds.
Last updated: Wed Feb 28 11:58:18 2024