The Optimization of Trajectories

Previous article The Optimization of TrajectoriesJohn V. BreakwellJohn V. Breakwellhttps://doi.org/10.1137/0107018PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] H. S. Tsien and , R. C. Evans, Optimum thrust programming for a sounding rocket, J. Amer. Rocket Soc., 21 (1951), 99–107 CrossrefISIGoogle Scholar[2] G. Leitmann, Stationary trajectories for a high-altitude rocket with drop-away bolster, Astronaut. Acta, 2 (1956), 119–124 MR0097907 Google Scholar[3] A. Miele, An extension of the theory of the optimum burning program for the level flight of a rocket-powered aircraft, J. Aero. Sci., 24 (1957), 874–884 0082.18506 CrossrefISIGoogle Scholar[4] A. E. Bryson, Jr. and , S. E. Ross, Optimum rocket trajectories with aerodynamic drag, Jet Propulsion, 28 (1958), 465–469 CrossrefGoogle Scholar[5] D. F. Lawden, Optimal programming of rocket thrust direction, Astronaut. Acta, 1 (1955), 41–56 MR0080435 Google Scholar[6] B. D. Fried, On the powered flight trajectory of an earth satellite, Jet Propulsion, 27 (1957), 641–643 CrossrefGoogle Scholar[7] P. Cicala, Le evoluzioni ottime di un aereo, Atti Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat., 89 (1954–55), 350– 0067.17804 Google Scholar[8] Boris Garfinkel, Minimal problems in airplane performance, Quart. Appl. Math., 9 (1951), 149–162 MR0043664 0044.32001 CrossrefISIGoogle Scholar[9] T. F. Cartaino and , S. E. Dreyfus, Application of dynamic programming to the airplane minimum time-to-climb problem, Rand Report No. P834, 1957 Google Scholar[10] George Leitmann, Trajectory programming for maximum range, J. Franklin Inst., 264 (1957), 443–452 10.1016/0016-0032(57)90103-5 MR0092363 CrossrefGoogle Scholar[11] Gilbert A. Bliss, Lectures on the Calculus of Variations, University of Chicago Press, Chicago, Ill., 1946ix+296, Ch. VII. MR0017881 0063.00459 Google Scholar Previous article FiguresRelatedReferencesCited byDetails An Historical Survey of Computational Methods in Optimal Control2 August 2006 | SIAM Review, Vol. 15, No. 2AbstractPDF (3413 KB)Optimal-Thrust Trajectories in an Arbitrary Gravitational FieldJoseph G. Gurley18 July 2006 | Journal of the Society for Industrial and Applied Mathematics Series A Control, Vol. 2, No. 3AbstractPDF (727 KB)A Solution of the Goddard ProblemBoris Garfinkel18 July 2006 | Journal of the Society for Industrial and Applied Mathematics Series A Control, Vol. 1, No. 3AbstractPDF (1523 KB)Optimization and Control of Nonlinear Systems Using the Second VariationJohn V. Breakwell, Jason L. Speyer, and Arthur E. Bryson18 July 2006 | Journal of the Society for Industrial and Applied Mathematics Series A Control, Vol. 1, No. 2AbstractPDF (2001 KB) Volume 7, Issue 2| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:10 June 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107018Article page range:pp. 215-247ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics