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35 mm ammunition’s trajectory model identification based on firing tables

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Baranowski L. , Gadomski B. , Majewski P. , Szymonik J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

tom Vol. 66, nr 5

635--643

The article presents a procedure designed for identification of projectile’s trajectory model through aerodynamic coefficients estimation. The identification process is based on firing tables artificially prepared (firing tables prepared using mathematical flight model for the projectile instead of trajectories recorded on field tests) with the use of modified point–mass and rigid body trajectory models. All the necessary data, including physical parameters of the projectile and its aerodynamic characteristics are provided. The detailed results of estimation of chosen aerodynamic coefficients are presented in both visual and tabular form. The main purpose of this paper is to establish the minimum number of trajectories (as characterized in firing tables), and the permissible error of initial parameters being passed to the mathematical model that would allow the correct identification of projectile’s trajectory model.

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

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Baranowski L. , Gadomski B. , Szymonik J. , Majewski P.

Journal of Theoretical and Applied Mechanics

2016

tom Vol. 54 nr 4

1183--1195

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.

35 mm ammunition’s trajectory model identification based on firing tables

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Baranowski L. , Gadomski B. , Majewski P. , Szymonik J.

Komunikaty meteorologiczne dla artylerii przeciwlotniczej

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Baranowski L. , Chiliński M. , Gadomski B. , Jasiński J.

Problemy Techniki Uzbrojenia

2017

tom R. 46, z. 141

7--23

Wpływ warunków meteorologicznych na tor lotu pocisku jest tematem rozważań naukowych przynajmniej od początku poprzedniego wieku. W tym czasie powstały różne standardy oraz metody uwzględniania zmian warunków meteorologicznych przy wyznaczaniu nastaw działowych. W artykule zaprezentowano kilka najbardziej rozpowszechnionych metod. Dodatkowo przedstawiono rezultaty ich zastosowania na przykładzie armaty przeciwlotniczej KDA 35 mm.

Impact of meteorological conditions on projectile trajectory has been subjected to scientific research since the beginning of 20th century. During this time different standards and methods of taking meteorological conditions into account in calculations of firing an-gles were established. This paper presents a number of widely used methods and the results of their application basing on an example of KDA 35 mm antiaircraft gun.

Explicit “ballistic M-model”: a refinement of the implicit “modified point mass trajectory model”

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Baranowski L. , Gadomski B. , Majewski P. , Szymonik J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

tom Vol. 64, nr 1

81--89

Various models of a projectile in a resisting medium are used. Some are very simple, like the “point mass trajectory model”, others, like the “rigid body trajectory model”, are complex and hard to use, especially in Fire Control Systems due to the fact of numeric complexity and an excess of less important corrections. There exist intermediate ones - e.g. the “modified point mass trajectory model”, which unfortunately is given by an implicitly defined differential equation as Sec. 1 discusses. The main objective of this paper is to present a way to reformulate the model obtaining an easy to solve explicit system having a reasonable complexity yet not being parameter-overloaded. The final form of the M-model, after being carefully derived in Sec. 2, is presented in Subsec. 2.5.