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 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 Bereguet cruise plus maximum- and minimum-thrust connecting segments) and to the range obtained at constant-altitude cruise. (Author)
Optimal Cruise Trajectories for Supersonic Airplanes
1972
32 pages
Report
Keine Angabe
Englisch
Optimal cruise trajectories for supersonic airplanes
TIBKAT | 1972
|Optimal cruise trajectories for supersonic airplanes
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|Thrust Requirements for Supersonic Airplanes
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