Optimal cruise trajectories for supersonic airplanes /
Fred Teren and Carl J. Daniele.

Description

Main Author

Teren, Fred.

Related Names

Daniele, Carl J.
United States. National Aeronautics and Space Administration.
Lewis Research Center.

Language(s)

English

Published

Washington, DC : National Aeronautics and Space Administration, 1972.

Subjects

Numerical analysis.
Trajectory optimization.
Airplanes > Airplanes / Trajectories > Airplanes / Trajectories / Mathematical models.

Summary

Equations 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].

Note

"E-6506."
"NASA TN D-6707."
"March 1972."
Also available online in PDF from NASA Technical Reports Server Web site.

Physical Description

30 p. : ill. ; 26 cm.

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