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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2603.11830 |
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| _version_ | 1866914387715948544 |
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| author | Borndörfer, Ralf Jocas, Arturas Weiser, Martin |
| author_facet | Borndörfer, Ralf Jocas, Arturas Weiser, Martin |
| contents | We present an eikonal-based approach that is capable of finding a continuous globally optimal trajectory for an aircraft in a stationary wind field. This minimizes emissions and fuel consumption. If the destination is close to a cut locus of the associated Hamilton-Jacobi-Bellman equation, small numerical discretization errors can lead to selecting a merely locally optimal trajectory and missing the globally optimal one. Based on finite element error estimates, we construct a trust region around the cut loci in order to guarantee uniqueness of trajectories for destinations sufficiently far from cut loci. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11830 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An Eikonal Approach for Globally Optimal Free Flight Trajectories Borndörfer, Ralf Jocas, Arturas Weiser, Martin Optimization and Control 35F21, 49L12, 49L20, 49N60, 65N15 We present an eikonal-based approach that is capable of finding a continuous globally optimal trajectory for an aircraft in a stationary wind field. This minimizes emissions and fuel consumption. If the destination is close to a cut locus of the associated Hamilton-Jacobi-Bellman equation, small numerical discretization errors can lead to selecting a merely locally optimal trajectory and missing the globally optimal one. Based on finite element error estimates, we construct a trust region around the cut loci in order to guarantee uniqueness of trajectories for destinations sufficiently far from cut loci. |
| title | An Eikonal Approach for Globally Optimal Free Flight Trajectories |
| topic | Optimization and Control 35F21, 49L12, 49L20, 49N60, 65N15 |
| url | https://arxiv.org/abs/2603.11830 |