The Rocket Problem in General Relativity

Pedro G. Henriques and José Natário ()
Additional contact information
Pedro G. Henriques: Instituto Superior Técnico
José Natário: Instituto Superior Técnico

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 9, 500-524

Abstract: 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.

Keywords: Relativistic rocket; Optimal trajectory; General relativity; Friedmann–Lemaître–Robertson–Walker models; Schwarzschild solution; Hohmann manoeuvre (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-012-0023-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:154:y:2012:i:2:d:10.1007_s10957-012-0023-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-012-0023-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().