Geodesic
The mathematical model of motion of a spinning projectile
Matematičeskoe modelirovanie, Tome 32 (2020) no. 5, pp. 126-142

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The semi-empirical mathematical model for movement of mass center of spinning projectile in atmosphere was proposed. This model takes into account effects of derivation and change of frontal resistance by changing of angle of attack. These effects are taking into account without description of spinning in detail in our model. Therefore big integration step can be used and the opportunity of calculation of ballistic corrections in real time is provided. The procedure for model parameters selection has been described in detail for real weapon systems.
Keywords: semi-empirical model, external ballistics, derivation, angle of attack, frontal cross-section resistance, ballistic computer. 
@article{MM_2020_32_5_a6,
     author = {I. A. Kozlitin},
     title = {The mathematical model of motion of a spinning projectile},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {126--142},
     publisher = {mathdoc},
     volume = {32},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_5_a6/}
}
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I. A. Kozlitin. The mathematical model of motion of a spinning projectile. Matematičeskoe modelirovanie, Tome 32 (2020) no. 5, pp. 126-142. http://geodesic.mathdoc.fr/item/MM_2020_32_5_a6/