Effect of the mathematical model and integration step on the accuracy of the results of computation of artillery projectile flight parameters

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Abstract

In the paper the three different mathematical models of motion of a spin-stabilized, conventional artillery projectile, possessing at least trigonal symmetry, have been introduced. The vector six-degrees-of-freedom (6-DOF) differential equations of motion are an updated edition of those published by Lieske and McCoy and are consistent with STANAG 4355 (Ed. 3). The mathematical models have been used to developing software for simulating the flight of the Denel 155mm Assegai M2000 series artillery projectile and to conduct comprehensive research of the influence of the applied model and integration step on the accuracy and time of computation of projectile trajectory.

References
  • [1] R.F. Lieske and R.L. McCoy, Equations of Motion of a RigidProjectile, Ballistic Research Laboratories Report No. 1244, 1964.

  • [2] J. Gacek, Exterior Ballistics. Part I. Modeling Exterior Ballisticsand Flight Dynamics, Military University of Technology, Warsaw, 1997, (in Polish).

  • [3] ISO 1151-1, Flight Dynamics - Concepts, Quantities and Symbols- Part 1: Aircraft Motion Relative to the Air, 1988.

  • [4] J. Gajda, “Using quaternions in algorithms for determining spatial orientation of moving objects”, Theoretical and AppliedMechanics 28 (3-4), CD-ROM (1990), (in Polish).

  • [5] R.E. Roberson and R. Shwertassek, Dynamics of MultibodySystem, Springer-Verlag, Berlin, 1988.

  • [6] Z. Gosiewski and A. Ortyl, “Determining spatial orientation of aircraft using measurement of angular velocity vector”, 6th Pol. Conf. on Mechanics in Aviation 1, 191-215 (1995), (in Polish).

  • [7] R.L. McCoy, Modern Exterior Ballistics. The Launch andFlight Dynamics of Symmetric Projectiles, Schiffer Publishing, Atglen, 1999.

  • [8] G. Kowaleczko and A. Żyluk, “Influence of atmospheric turbulence on bomb release”, J. Theoretical and Applied Mechanics 47 (1), 69-90, (2009).

  • [9] Z. Dziopa, I. Krzysztofik, and Z. Koruba, “An analysis of the dynamics of a launcher-missile on a moveable base”, Bull. Pol. Ac.: Tech. 58 (4), 645-650 (2010).

  • [10] E. Ładyżyńska-Kozdraś and Z. Koruba, “Model of the final section of navigation of a self-guided missile steered by a gyroscope”, J. Theoretical and Applied Mechanics 50 (2), 473-485 (2012).

  • [11] STANAG 4355 (Edition 3), The Modified Point Mass and FiveDegrees of Freedom Trajectory Models, 2009.

  • [12] J. Shapiro, Exterior ballistics, Oborongiz, Moscow, 1946, (in Russian).

  • [13] ISO 2533, The ISO Standard Atmosphere, 1975

Bulletin of the Polish Academy of Sciences Technical Sciences

The Journal of Polish Academy of Sciences

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