Numerical-analytical integrating the equations of a point mass projectile motion at the velocities close to sonic peak of air drag exponent

Abstract

It is shown that the relative air drag force for many different ballistic profiles obeys the law as follows R(V)=Mg·w(V/WT)n(V) with V being the velocity, WT - some threshold velocity close to that of sound, w equals to R(WT) and n(V) is the exponent in broken power Gȃvre formula. Using the Legendre transformation and in frames of perturbation approach received was the expression for addition abb''(b) to resolvent function abb''(b), where a(b) is an intercept and b=tg, - inclination angle.

Keywords

• ballistic profile
• power-law air resistance
• exponent
• sonic peak
• Legendre transformation
• resolvent function
• perturbation approach
• first term