Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schr\"odinger Bridge and Reaction-Diffusion PDEs

arXiv:2401.07961v3 Announce Type: replace-cross
Abstract: Lambert's problem concerns with transferring a spacecraft from a given initial to a given terminal position within prescribed flight time via velocity control subject to a gravitational force field. We consider a probabilistic variant of the Lambert problem where the knowledge of the endpoint constraints in position vectors are replaced by the knowledge of their respective joint probability density functions. We show that the Lambert problem with endpoint joint probability density constraints is a generalized …

abstract arxiv bridge concerns control cs.lg cs.sy diffusion eess.sy math.mp math.oc math-ph solution spacecraft stat.ml terminal transport type via