Applications du calcul formel à la balistique

Abstract

This paper gives an overview of various forms of the differential equations of exterior, interior and terminal ballistics, as well as a presentation of the problems they induce in computer algebra. Some of these problems have been investigated at ISL (French-German Institute of Saint-Louis): —through the quasi-monomial transforms (QMT) of Brenig, for the ordinary differential equations (ODE's) of exterior ballistics that have been implemented in REDUCE and led to numerical applications —asymptotic expansions of solutions of the ordinary differential equations in the “Winter thermodynamic” model of interior ballistics. In the prospects, we quote the application of the quasi monomial transform for solving ordinary differential equations, resulting of a separation of variables (by consideration of symmetry groups) of the partial differential equations of interior and terminal ballistics (with a first application concerning nuclear explosions).