  In the first paper of this series, a comprehensive approach has been provided
for the study of S-type and P-type habitable regions in stellar binary systems,
which was, however, restricted to circular orbits of the stellar components.
Fortunately, a modest modification of the method also allows for the
consideration of elliptical orbits, which of course entails a much broader
range of applicability. This augmented method is presented here, and numerous
applications are conveyed. In alignment with Paper I, the selected approach
considers a variety of aspects, which comprise the consideration of a joint
constraint including orbital stability and a habitable region for a possible
system planet through the stellar radiative energy fluxes ("radiative habitable
zone"; RHZ). The devised method is based on a combined formalism for the
assessment of both S-type and P-type habitability; in particular, mathematical
criteria are deduced for which kinds of systems S-type and P-type habitable
zones are realized. If the RHZs are truncated by the additional constraint of
orbital stability, the notation of ST-type and PT-type habitability applies. In
comparison to the circular case, it is found that in systems of higher
eccentricity, the range of the RHZs is significantly reduced. Moreover, for a
considerable number of models, the orbital stability constraint also reduces
the range of S-type and P-type habitability. Nonetheless, S-, P-, ST-, and
PT-type habitability is identified for a considerable set of system parameters.
The method as presented is utilized for BinHab, an online code available at The
University of Texas at Arlington.
