  Photodissociation cross sections for the SH$^+$ radical are computed from all
rovibrational (RV) levels of the ground electronic state X$~^3\Sigma^-$ for
wavelengths from threshold to 500~\AA. The five electronic transitions, $2~
^3\Sigma^- \leftarrow$ X$~^3\Sigma^-$, $3~ ^3\Sigma^- \leftarrow$
X$~^3\Sigma^-$, $A~ ^3\Pi \leftarrow$ X$~^3\Sigma^-$, $2~ ^3\Pi \leftarrow$
X$~^3\Sigma^-$, and $3~ ^3\Pi \leftarrow$ X$~^3\Sigma^-$, are treated with a
fully quantum-mechanical two-state model, {i.e. no non-adiabatic coupling
between excited states was included in our work.}. The photodissociation
calculations incorporate adiabatic potentials and transition dipole moment
functions computed in the multireference configuration interaction approach
along with the Davidson correction (MRCI+Q), but adjusted to match available
experimental molecular data and asymptotic atomic limits. Local thermodynamic
equilibrium (LTE) photodissociation cross sections were computed which assume a
Boltzmann distribution of RV levels in the X$~^3\Sigma^-$ molecular state of
the SH$^+$ cation. The LTE cross sections are presented for temperatures in the
range 1000-10,000~K. Applications of the current photodissociation cross
sections to interstellar gas, photon-dominated regions, and stellar atmospheres
are briefly discussed.
