G. Gallavotti, G. Gentile, V. Mastropietro Melnikov's approximation dominance. Some examples. (46K, TeX (as plain as it can be)) ABSTRACT. We continue a previous paper to show that Melnikov's first order formula for {\it part} of the separatrix splitting of a pendulum under fast quasi periodic forcing holds, in special examples, as an asymptotic formula in the forcing rapidity.