Technical Paper
Algorithmic Approach for Algebraic Derivation of Time and Distance to Speed during Variable Acceleration
2013-09-17
2013-01-2324
The take-off of a departing aircraft is subjected to varying forces, the largest of which are function of the speed of the aircraft itself: the thrust of a jet engine, the aerodynamic drag of the airframe are essentially polynomial function of the airspeed. First principle field performance determination has relied for the last half century on stepwise integration, a brute force approach that requires properly tuned integration steps, which has the benefit of being fairly reliable but with relatively low computational efficiency. An alternate, mathematically more formal approach would be to algebraically integrate an accelerative function combining all the forces in presence.
