In this work we point out a theoretical picture accounting for some unpredi
cted trapping conditions that have been observed-but not satisfactorily exp
lained-in the past and have been recently confirmed by our experiments, We
have realized a sodium magneto-optical trap working on the 3(2)S(1/2)(F=1)-
->3(2)P(3/2)(F'=0) transition that, according to the usually accepted model
, should not work. Our results, with respect to the previous unexplained ob
servations, support more stringent conclusions because our experimental set
up gives us the possibility to repump atoms from the F=2 state using D-1 tr
ansitions. This definitely excludes that the repumping frequency may play a
role in the trap dynamics. A peculiar perturbation approach allows us to d
emonstrate that the confinement force originates, in this case, from a magn
etically induced level-mixing effect. Moreover, we describe separately the
nature of damping and confining forces and we recognize that in this case t
hey are due to different transitions. Trap simulations based on a dynamical
three-dimensional model are presented, which quantitatively reproduce our
experimental results.