  The aim of this work is to revise but also explore even further the escape
dynamics in the H\'{e}non-Heiles system. In particular, we conduct a thorough
and systematic numerical investigation distinguishing between trapped (ordered
and chaotic) and escaping orbits, considering only unbounded motion for several
energy levels. It is of particular interest, to locate the basins of escape
towards the different escape channels and relate them with the corresponding
escape periods of the orbits. In order to elucidate the escape process we
conduct a thorough investigation in several types of two-dimensional planes and
also in a three-dimensional subspace of the entire four-dimensional phase
space. We classify extensive samples of orbits by integrating numerically the
equations of motion as well as the variational equations. In an attempt to
determine the regular or chaotic nature of trapped motion, we apply the SALI
method, as an accurate chaos detector. It was found, that in all studied cases
regions of non-escaping orbits coexist with several basins of escape. Most of
the current outcomes have been compared with previous related work.
