  In this paper, we investigate the behavior of orbits inside parabolic basins.
Let $f(z)=z+az^{m+1}+(\text{higher terms}), m\geq1, a\neq0.$ We choose an
arbitrary constant $C>0$ and a point $q\in{\bf v_j}\cap\mathcal{P}_j$. Then
there exists a point $z_0\in \mathcal{P}_j$ so that for any $\tilde{q}\in Q:=
\cup_{l=0}^{\infty}f^{-l}(f^k(q)) (l, k$ are non-negative integers), the
Kobayashi distance $d_{\mathcal {P}_j}(z_0, \tilde{q})> C$, where
$d_{\mathcal{P}_j}$ is the Kobayashi metric. In a previous paper [4], we showed
that this result is not valid for attracting basins.
