Aircraft Performance Modeling with Polynomial Function using Small Variable Units Technique

Abstract

Mathematical methods of Regression analysis, with focus on polynomial regression, are useful analytical methods for trend-line definitions of an aircraft aerodynamics. Nomogram is graphical interpretation of polynomial regression analysis results and aero-dynamical performance according to different environmental parameters and requirements. If diagram defines relations of two variables, where the one is dependable of another one (y=f (x)), the nomogram defines relations among three variables, where the one is resulting and dependable of another two undependable. The Small Variable Units Technique is efficient method to transfer nomograms’ data in polynomial equitation which can give us different mathematical models of an aircraft performance. In combination with time based navigation, digitalization of aerodynamical characteristic will be a step forward to Continuous Climb and Descent Trajectories, as the most optimal one.