Journal of Theoretical
and Applied Mechanics

54, 4, pp. 1183-1195, Warsaw 2016
DOI: 10.15632/jtam-pl.54.4.1183

Comparison of explicit and implicit forms of the modified point mass trajectory model

Leszek Baranowski, Błażej Gadomski, Jacek Szymonik, Przemysław Majewski
The article compares the results of trajectory computation for a 35mm projectile using two forms (explicit and implicit) of the modified point-mass trajectory model. All necessary ammunition parameters (aerodynamic coefficients, dimensions, mass etc.) and initial conditions for differential equations are provided. The results of numerical integration (using non-stiff fourth-order Runge-Kutta solver) are presented in form of projectile trajectories projections onto vertical and horizontal planes. Data tables comparing both models in terms of projectile position and velocity in chosen time steps are also attached.
Keywords: exterior ballistics, projectile motion, MPMTM, equations of motion, projectile trajectory