An Eikonal Approach for Globally Optimal Free Flight Trajectories
under review
- 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.
| Author: | Ralf Borndörfer, Arturas Jocas, Martin WeiserORCiD |
|---|---|
| Document Type: | In Proceedings |
| Year of first publication: | 2026 |
| ArXiv Id: | http://arxiv.org/abs/2603.11830 |

