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

Chistyakov V.V.
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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 δabb''(b) to resolvent function abb''(b), where a(b) is an intercept and b=tgθ, θ — inclination angle.

Keywords: ballistic profile, power-law air resistance, exponent, sonic peak, Legendre transformation, resolvent function, perturbation approach, first term
Citation in English: Chistyakov V.V. Numerical-analytical integrating the equations of a point mass projectile motion at the velocities close to sonic peak of air drag exponent // Computer Research and Modeling, 2013, vol. 5, no. 5, pp. 785-798
Citation in English: Chistyakov V.V. Numerical-analytical integrating the equations of a point mass projectile motion at the velocities close to sonic peak of air drag exponent // Computer Research and Modeling, 2013, vol. 5, no. 5, pp. 785-798
DOI: 10.20537/2076-7633-2013-5-5-785-798
URL: http://crm-en.ics.org.ru/journal/article/2082/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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