  I derive a system of pulsation equations for compact stars made up of an
arbitrary number of perfect fluids that can be used to study radial
oscillations and stability with respect to small perturbations. I assume
spherical symmetry and that the only inter-fluid interactions are
gravitational. My derivation is in line with Chandrasekhar's original
derivation for the pulsation equation of a single-fluid compact star and keeps
the contributions from the individual fluids manifest. I illustrate solutions
to the system of pulsations equations with one-, two-, and three-fluid
examples.
