Lambert Problem

The Lambert problem, originating in orbital mechanics, focuses on determining the initial velocity needed to transfer between two specified points in space within a given timeframe, considering gravitational forces. Current research explores probabilistic extensions of the problem, leveraging optimal mass transport and Schrödinger bridge problems, and employing deep neural networks for faster and more accurate solutions, particularly in scenarios with perturbations like the J2 effect. These advancements improve spacecraft trajectory planning and have broader implications for fields like computer vision, where related techniques are used in intrinsic image decomposition to separate reflectance and shading, moving beyond the traditional Lambertian assumption.