  A knot K is called n-adjacent to the unknot, if K admits a projection
containing n generalized crossings such that changing any m (no larger than n)
of them yields a projection of the unknot. We show that a non-trivial satellite
knot K is n-adjacent to the unknot, for some n>0, if and only if it is
n-adjacent to the unknot in any companion solid torus. In particular, every
model knot of K is n-adjacent to the unknot. Along the way of proving these
results, we also show that 2-bridge knots of the form K_{p/q}, where
p/q=[2q_1,2q_2] for some integers q_1,q_2, are precisely those knots that have
genus one and are 2-adjacent to the unknot.
