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arXiv · 2404.00721

Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems

Naoki Hiraiwa·Mai Bando·Isaia Nisoli·Yuzuru Sato
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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.

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Naoki Hiraiwa, Mai Bando, Isaia Nisoli, Yuzuru Sato. 2024-03-31. Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems. https://doi.org/10.1103/physrevresearch.6.l022046

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