Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems
arXiv:2404.00721 · doi:10.1103/PhysRevResearch.6.L022046
Abstract
Modern space missions with uncrewed spacecraft require robust trajectory design to connect multiple chaotic orbits by small controls. To address this issue, we propose a control scheme to design robust trajectories by leveraging a geometrical structure in chaotic zones, known as a {\it lobe}. Our scheme shows that appropriately selected lobes reveal possible paths to traverse chaotic zones in a short time. The effectiveness of our method is demonstrated through trajectory design in both the standard map and Hill's equation.
5 pages, 4 figures + Supplemental Material (5 pages, 6 figures)