The Rocket Problem in General Relativity
We derive the covariant optimality conditions for rocket trajectories in general relativity, with and without a bound on the magnitude of the proper acceleration. The resulting theory is then applied to solve two specific problems: the minimum fuel consumption transfer between two galaxies in a FLRW model, and between two stable circular orbits in the Schwarzschild spacetime.
general relativity relativistic rocket optimal trajectory friedmannlematrerobertsonwalker models schwarzschild solution hohmann manoeuvre