Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, under certain assumptions, this is the case.
@article{arxiv.2302.04748,
title = {Newton's Method for Global Free Flight Trajectory Optimization},
author = {Ralf Borndörfer and Fabian Danecker and Martin Weiser},
journal= {arXiv preprint arXiv:2302.04748},
year = {2024}
}