Influence of drag force upon the shortest time trajectory of an aircraft
Journal Title: INCAS BULLETIN - Year 2015, Vol 7, Issue 2
Abstract
The shortest time trajectory of an aircraft between two given locations is determined using a simple mathematical model. By taking into account the drag force (viscous friction force with the air), a problem of variational calculus is obtained which consists in determining two functions that minimize a functional, subject to a non-holonomic constraint. The trajectory is determined directly, by numerical integration of Euler equations with multipliers. Three types of drag forces were considered: constant, linear and quadratic. The results are verified through comparison to the values obtained from numerical minimization of the involved functional approximate forms.
Authors and Affiliations
CRAIFALEANU Andrei , PETRE Roxana Alexandra
Keywords
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- EP ID EP122175
- DOI 10.13111/2066-8201.2015.7.2.6
- Views 82
- Downloads 0
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