  We investigate compact objects formed by dark matter admixed with ordinary
matter made of neutron star matter and white dwarf material. We consider
non-self annihilating dark matter with an equation-of-state given by an
interacting Fermi gas. We find new stable solutions, dark compact planets, with
Earth-like masses or lower and radii about one meter for weakly interacting
dark matter. For the strongly interacting dark matter case, we obtain dark
compact planets with Jupiter-like masses or lower and radii of a kilometer.
These objects could be formed primordially and accrete white dwarf material
subsequently. They could be detected by observing exoplanets with unusually
small radii. Moreover, we find that the recently observed 2 ${\rm M}_{\odot}$
pulsars set limits on the amount of dark matter inside neutron stars which is,
at most, $10^{-5}{\rm M}_\odot$.
