Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 109
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Dušan J. Mikičić. Variational equations of motion of the mechanical system of variable mass and their integration. Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 109 . http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a10/
@article{TAM_1985_11_1_a10,
author = {Du\v{s}an J. Miki\v{c}i\'c},
title = {Variational equations of motion of the mechanical system of variable mass and their integration},
journal = {Theoretical and applied mechanics},
pages = {109 },
year = {1985},
volume = {11},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a10/}
}
TY - JOUR
AU - Dušan J. Mikičić
TI - Variational equations of motion of the mechanical system of variable mass and their integration
JO - Theoretical and applied mechanics
PY - 1985
SP - 109
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a10/
LA - en
ID - TAM_1985_11_1_a10
ER -
%0 Journal Article
%A Dušan J. Mikičić
%T Variational equations of motion of the mechanical system of variable mass and their integration
%J Theoretical and applied mechanics
%D 1985
%P 109
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a10/
%G en
%F TAM_1985_11_1_a10
The paper examines the variational equations of motion of a mechanical system of variable mass of the form $\ddot{\xi}^\gamma=A^\gamma_\delta(t)\xi^\gamma+B^\gamma_\delta(t)\dot{\xi}^\delta$, $(\xi,\delta=1,\dots,n)$. Here it is shown how a discrete model of a linear system $x(t_{n+1})=E(t_n)x(t_n)+F(t_n)U$ be used to solve the variations $\xi^\gamma(t)$.
