Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft
December 1966
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| Format: | Technical Report |
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[Cambridge, Mass.] : Massachusetts Institute of Technology, Flight Transportation Laboratory, 1966
2012
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| Online Access: | http://hdl.handle.net/1721.1/67989 |
| _version_ | 1826194788563550208 |
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| author | Gallant, Robert Alfred |
| author2 | United States. Office of High-Speed Ground Transportation |
| author_facet | United States. Office of High-Speed Ground Transportation Gallant, Robert Alfred |
| author_sort | Gallant, Robert Alfred |
| collection | MIT |
| description | December 1966 |
| first_indexed | 2024-09-23T10:01:49Z |
| format | Technical Report |
| id | mit-1721.1/67989 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:01:49Z |
| publishDate | 2012 |
| publisher | [Cambridge, Mass.] : Massachusetts Institute of Technology, Flight Transportation Laboratory, 1966 |
| record_format | dspace |
| spelling | mit-1721.1/679892019-04-10T10:00:06Z Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft Gallant, Robert Alfred United States. Office of High-Speed Ground Transportation Massachusetts Institute of Technology. Flight Transportation Laboratory Calculus of variations Vertically rising aircraft Aeronautics, Commercial Passenger traffic Mathematical models December 1966 Includes bibliographical references (p. 52-53) The method of steepest descent of the calculus of variations is used to determine the optimal flight profile of a hypothetical tilt wing aircraft travelling a distance of 50 miles. Direct operating cost, (as derived from the ATA formulation) is minimized using aircraft lift coefficient and power as control variables each with upper and lower limits. Only the portion of the flight from the end of transition to the beginning of retransition was considered, with both initial and final values of velocity, flight path angle, and altitude specified. The results show that full power is used to accelerate and to climb at a speed about twice the value for maximum rate of climb. At 12000 feet, power is reduced to flight idle and a high speed, power off glide is made to destination. A rapid deceleration is made at low altitude to achieve the specified conditions for retransition. While the optimal profiles for velocity, altitude, and power are greatly different from the nominal profiles chosen to design the aircraft (Ref. 5), the optimal trip cost of $30.54 is only slightly less than the nominal trip cost of $31.60. Office of High Speed Ground Transport, Dept. of Commerce 2012-01-06T06:58:17Z 2012-01-06T06:58:17Z 1966 Technical Report 06109428 http://hdl.handle.net/1721.1/67989 FTL report (Massachusetts Institute of Technology. Flight Transportation Laboratory) ; R66-5 89 p application/pdf [Cambridge, Mass.] : Massachusetts Institute of Technology, Flight Transportation Laboratory, 1966 |
| spellingShingle | Calculus of variations Vertically rising aircraft Aeronautics, Commercial Passenger traffic Mathematical models Gallant, Robert Alfred Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title | Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title_full | Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title_fullStr | Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title_full_unstemmed | Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title_short | Application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| title_sort | application of the calculus of variations in determining optimum flight profiles for commercial short haul aircraft |
| topic | Calculus of variations Vertically rising aircraft Aeronautics, Commercial Passenger traffic Mathematical models |
| url | http://hdl.handle.net/1721.1/67989 |
| work_keys_str_mv | AT gallantrobertalfred applicationofthecalculusofvariationsindeterminingoptimumflightprofilesforcommercialshorthaulaircraft |