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arXiv · 1105.5235

The rocket problem in general relativity

Pedro G. Henriques·Jose Natario
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Abstract

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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Pedro G. Henriques, Jose Natario. 2011-05-26. The rocket problem in general relativity. https://arxiv.org/abs/1105.5235

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