NDLI: Characteristics of constrained optimum trajectories with specified range

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Characteristics of constrained optimum trajectories with specified range

Content Provider	NASA Technical Reports Server (NTRS)
Author	Lee, H. Erzberger, H.
Copyright Year	1978
Description	Necessary conditions of optimality are derived for trajectories whose structure is limited to climb, steady cruise, and descent segments. The performance function consists of the sum of fuel and time costs, referred to as direct operating cost (DOC). The state variable is range to go and the independent variable is energy. In this formulation a cruise segment always occurs at the optimum cruise energy for sufficiently large range. At short ranges (500 n. mi. and less) a cruise segment may also occur below the optimum cruise energy. The existence of such a cruise segment depends primarily on the fuel flow vs thrust characteristics and on thrust constraints. If thrust is a free control variable along with airspeed, it is shown that such cruise segments will not generally occur. If thrust is constrained to some maximum value in climb and to some minimum in descent, such cruise segments generally will occur. Computer calculations of typical short-range trajectories obtained about a 1% cost penalty for constraining the thrust.
File Size	3560547
Page Count	41
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19780022129
Archival Resource Key	ark:/13960/t01z90n8j
Language	English
Publisher Date	1978-09-01
Access Restriction	Open
Subject Keyword	Aircraft Communications And Navigation Climbing Flight Aircraft Guidance Cruising Flight Fuel Flow Descent Trajectories Flight Control Air Traffic Control Combustion Efficiency Trajectory Optimization Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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