  We provide in this paper the discrete equations of motion for the newtonian
$n$-body problem deduced from the quantum calculus of variations (Q.C.V.)
developed in \cite{Cre,CFT,RS1,RS2}. These equations are brought into the usual
lagrangian and hamiltonian formulations of the dynamics and yield sampled
functional equations involving generalized scale derivatives. We investigate
especially homographic solutions to these equations that we obtain by solving
algebraic systems of equations similar to the classical ones. When the
potential forces are homogeneous, homographic solutions to the discrete and
classical equations may be related through an explicit expansion factor that we
provide. Consequently, perturbative equations both in lagrangian and
hamiltonian formalisms are deduced.
