  The planetary exospheres are poorly known in their outer parts, since the
neutral densities are low compared with the instruments detection capabilities.
The exospheric models are thus often the main source of information at such
high altitudes. We present a new way to take into account analytically the
additional effect of the radiation pressure on planetary exospheres. In a
series of papers, we present with an Hamiltonian approach the effect of the
radiation pressure on dynamical trajectories, density profiles and escaping
thermal flux. Our work is a generalization of the study by Bishop and
Chamberlain (1989). In this second part of our work, we present here the
density profiles of atomic Hydrogen in planetary exospheres subject to the
radiation pressure. We first provide the altitude profiles of ballistic
particles (the dominant exospheric population in most cases), which exhibit
strong asymmetries that explain the known geotail phenomenon at Earth. The
radiation pressure strongly enhances the densities compared with the pure
gravity case (i.e. the Chamberlain profiles), in particular at noon and
midnight. We finally show the existence of an exopause that appears naturally
as the external limit for bounded particles, above which all particles are
escaping.
