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2 Bulletin of the Polish Academy of Sciences. Technical Sciences

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Explicit form of the “modified point mass trajectory model” for the use in Fire Control Systems

Baranowski L., Majewski P., Szymonik J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2020

Vol. 68, nr 5

1167--1175

The main objective of this article is to obtain equations of motion of the spin–stabilized projectile in the presence of non–constant wind. Introducing models allowing utilization of inhomogeneous wind is dictated by new possibilities created by the use of e.g. lidars in the Fire Control Systems (FCS). Constant feed of wind data can replace meteorological messages, increasing the FCS effectiveness. Article contains results of projectile flight simulations which indicate the positive effect that the derived explicit form of the model has when considering software development for modern Fire Control Systems.

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

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

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

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.