Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914816254279680 |
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| author | Hiraiwa, Naoki Bando, Mai Nisoli, Isaia Sato, Yuzuru |
| author_facet | Hiraiwa, Naoki Bando, Mai Nisoli, Isaia Sato, Yuzuru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00721 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems Hiraiwa, Naoki Bando, Mai Nisoli, Isaia Sato, Yuzuru Chaotic Dynamics Instrumentation and Methods for Astrophysics Dynamical Systems Optimization and Control Classical Physics 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. |
| title | Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems |
| topic | Chaotic Dynamics Instrumentation and Methods for Astrophysics Dynamical Systems Optimization and Control Classical Physics |
| url | https://arxiv.org/abs/2404.00721 |