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Long-range energy-state maneuvers for minimum time to specified terminal conditionsThe calculus of variations and energy-state approximation are used to determine the optimum maneuvers in three-dimensional minimum-time aircraft flight paths to a specified final point or line. Constraints on thrust, Mach number, angle of attack, dynamic pressure, and load factor are included. It is shown that when the initial range is sufficiently large that the maximum velocity constraint is encountered en route, the calculation of minimum-time maneuvers can be greatly simplified by a separation of arcs into two two-parameter problems. Suboptimal paths along which the bank angle is restricted to three discrete values (negative maximum angle, 0, positive maximum angle) compare favorably with the optimum, continuous bank angle solutions for transonic speeds and below.
Document ID
19760042130
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Parsons, M. G.
(Michigan, University Ann Arbor, Mich., United States)
Bryson, A. E., Jr.
(Stanford University Stanford, Calif.; Aerospace Systems, Inc., Burlington, Mass., United States)
Hoffman, W. C.
(Aerospace Systems, Inc. Burlington, Mass., United States)
Date Acquired
August 8, 2013
Publication Date
December 1, 1975
Publication Information
Publication: Journal of Optimization Theory and Applications
Volume: 17
Subject Category
Aircraft Design, Testing And Performance
Accession Number
76A25096
Funding Number(s)
CONTRACT_GRANT: N00014-67-A-0112-0063
CONTRACT_GRANT: NGL-05-020-007
CONTRACT_GRANT: F44620-72-C-001
Distribution Limits
Public
Copyright
Other

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