paper

Optimal escape from circular orbits around black holes

arXiv:1207.3179 · doi:10.1007/s10714-013-1502-4

Abstract

Using the theory of optimal rocket trajectories in general relativity, recently developed in arXiv:1105.5235, we show that the "obvious" manoeuvre of using a tangential instantaneous acceleration to escape a stable circular orbit in the Schwarzschild spacetime satisfies the optimality conditions if and only if the magnitude of the acceleration is smaller than a certain bound.

7 pages

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