APPLICATIONS OF DIFFERENTIAL-CALCULUS TO BALLISTICS

This paper gives an overview of various forms of the differential equa tions of exterior, interior and terminal ballistics, as well as a pres entation of the problems they induce in computer algebra. Some of thes e problems have been investigated at ISL (French-German Institute of S aint-Louis): through the quasi-monomial transforms (QMT) of Brenig, fo r the ordinary differential equations (ODE's) of exterior ballistics t hat have been implemented in REDUCE and led to numerical applications, asymptotic expansions of solutions of the ordinary differential equat ions in the ''Winter thermodynamic'' model of interior ballistics. In the prospects, we quote the application of the quasi monomial transfor m for solving ordinary differential equations, resulting of a separati on of variables (by consideration of symmetry groups) of the partial d ifferential equations of interior and terminal ballistics (with a firs t application concerning nuclear explosions).