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

• Autorzy: Baranowski L. , Gadomski B. , Szymonik J. , Majewski P.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1183

• Języki publikacji: EN

Abstrakty

EN

The article compares the results of trajectory computation for a 35 mm 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.

Słowa kluczowe

EN

exterior ballistics; projectile motion; MPMTM; equations of motion; projectile trajectory

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1183--1195
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Baranowski L.

• Military University of Technology, Faculty of Mechatronics and Aeropace, Warszawa, Poland

autor

Gadomski B.

• PIT-RADWAR S.A., Warszawa, Poland

autor

Szymonik J.

• PIT-RADWAR S.A., Warszawa, Poland

autor

Majewski P.

• PIT-RADWAR S.A., Warszawa, Poland and University of Warsaw, Chair of Mathematical Methods in Physics, Warsaw, Poland

Bibliografia

• 1. Baranowski L., 2013, Feasibility analysis of the modified point mass trajectory model for the need of ground artillery fire control systems, Journal of Theoretical and Applied Mechanics, 51, 3, 511-522
• 2. Baranowski L., Furmanek W., 2013, The problem of validation of the trajectory model of 35 mm calibre projectile TP-T in the normal conditions (in Polish), Problemy Techniki Uzbrojenia, 125, 35-44
• 3. Baranowski L., Gadomski B., Majewski P., Szymonik J., 2016, Explicit “ballistic M-model”: a refinement of the implicit “modified point mass trajectory model”, Bulletin of the Polish Academy of Sciences – Technical Sciences, 64, 1, 81-89
• 4. Coleman N., May R., Neelakandan M., Papanagopoulos G., Udomkesmalee S., Lin C.F., Politopoulos A., 2003, Fire control solution using robust MET data extraction and impact point prediction, 4th International Conference on Control and Automation ICCA’03, Montreal, 770-774
• 5. ISO 2533, 1975, The ISO Standard Atmosphere, U.S. Government Printing Office, Washington, D.C.
• 6. Koruba Z., Dziopa Z., Krzysztofik I., 2010, Dynamics and control of a gyroscope-stabilized platform in a self-propelled anti-aircraft system, Journal of Theoretical and Applied Mechanics, 48, 1, 5-26
• 7. Kowaleczko G., Żyluk A., 2009, Influence of atmospheric turbulence on bomb release, Journal of Theoretical and Applied Mechanics, 47, 1, 69-90
• 8. Ładyżyńska-Kozdraś E., 2012, Modeling and numerical simulation of unmanned aircraft vehicle restricted by non-holonomic constraints, Journal of Theoretical and Applied Mechanics, 50, 1, 251-268
• 9. Lieske R.F., Reiter M.L., 1966, Equations of Motion for a Modified point Mass Trajectory, U.S. Army Ballistic Research Laboratory, Report No. 1314
• 10. MATLAB 2014b Documentation
• 11. McCoy R.L., 1999, Modern Exterior Ballistics. The Launch and Flight Dynamics of Symmetric Projectiles, Schiffer Publishing
• 12. Pope R.L., 1978, The Analysis of Trajectory and Solar Aspect Angle Records of Shell Flights. Theory and Computer Programs, Department of Defence, Defence Science and Technology Organistaion, Weapons Systems Research Laboratory
• 13. Shanks D., Walton T.S., 1957, A New General Formula for Representing the Drag on a Missile Over the Entire Range of Mach Number, NAVORD Report 3634, May
• 14. STANAG 4119, 2007, Adoption of a Standard Cannon Artillery Firing Table Format, Ed. 2
• 15. STANAG 4355, 2009, The Modified Point Mass and Five Degrees of Freedom Trajectory Models, Ed. 3

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.