Optimal cruise trajectories for supersonic airplanes

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086 0 ‡aNAS 1.14:D-6707
088 ‡aNASA-TN-D-6707
100 1 ‡aTeren, Fred.
245 1 0 ‡aOptimal cruise trajectories for supersonic airplanes / ‡cFred Teren and Carl J. Daniele.
260 ‡aWashington, DC : ‡bNational Aeronautics and Space Administration, ‡c1972.
300 ‡a30 p. : ‡bill. ; ‡c26 cm.
490 0 ‡aNASA technical note ; ‡vNASA TN D-6707
500 ‡a"E-6506."
500 ‡a"NASA TN D-6707."
500 ‡a"March 1972."
504 ‡aIncludes bibliographical references (p. 22).
520 ‡aEquations are derived for maximizing range for specified initial and final values of mass and altitude. Constant-velocity flight is assumed, and normal acceleration is neglected. The problem is solved by using the maximum principle. Optimal trajectories are obtained and uniqueness is demonstrated. Results are obtained for a supersonic airplane. Curves are presented which can be used to obtain the optimal trajectory and maximum range for a range of initial and final mass and altitude. The optimal range is compared to the range obtained by using the standard cruise trajectory profile (consisting of a Breguet cruise plus maximum and minimum-thrust connecting segments) and to the range obtained at constant-altitude cruise.--P. [i].
530 ‡aAlso available online in PDF from NASA Technical Reports Server Web site.
536 ‡aSponsored by the National Aeronautics and Space Administration (NASA); performed by the Lewis Research Center under ‡v110-06.
538 ‡aMode of access: Internet.
650 0 ‡aNumerical analysis.
650 0 ‡aTrajectory optimization.
650 0 ‡aAirplanes ‡xTrajectories ‡xMathematical models.
700 1 ‡aDaniele, Carl J.
710 1 ‡aUnited States. ‡bNational Aeronautics and Space Administration.
710 2 ‡aLewis Research Center.
CID ‡a011445278
DAT 0 ‡a20101111085455.0 ‡b20141009010000.0
DAT 1 ‡a20141112165512.0 ‡b2023-03-14T18:36:08Z
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