The rocket problem in general relativity

Details The rocket problem in general relativity The rocket problem in general relativity

2011-05-26

arxiv.org/abs/1105.5235v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 3 figures; v2: several changes to improve clarity, including a new derivation of the rocket equation; matches final

Scientific paper

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.

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