Optimal escape from circular orbits around black holes
General Relativity and Quantum Cosmology
2020-09-08 v1 Optimization and Control
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.
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Cite
@article{arxiv.1207.3179,
title = {Optimal escape from circular orbits around black holes},
author = {Jose Natario},
journal= {arXiv preprint arXiv:1207.3179},
year = {2020}
}
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7 pages