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- Title
The Rocket Problem in General Relativity.
- Authors
Henriques, Pedro; Natário, José
- 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.
- Subjects
GENERAL relativity (Physics); COVARIANCE matrices; ENERGY consumption; TRAJECTORIES (Mechanics); ROCKET design &; construction; RELATIVISTIC quantum theory
- Publication
Journal of Optimization Theory & Applications, 2012, Vol 154, Issue 2, p500
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-012-0023-8