  We study the planet populations in the discovery window of the
CoRoT-space-telescope scheduled for launch on December 27th. We base the
prediction on `first principles' calculations of planet formation in the
framework of the planetesimal hypothesis.
  Aims: To provide a-priori planetary initial mass functions for confrontation
with the CoRoT-planet discoveries in the entire range of sensitivity of the
CoRoT instrument, i.e. for all giant planets and down to terrestrial planet
masses.
  Methods: We construct a comprehensive set of static complete-equilibrium
core-envelope protoplanets with detailed equations of state and opacity and
radiative transfer by convection and radiation. Protoplanets are calculated for
host-star masses of 0.8 to 2 solar masses and orbital periods of 1 to 16 days.
We subsequently check the stability of the planetary population by a series of
methods.
  Results: We find the static planetary populations to be stable and thus a
plausible ensemble to predict the planetary IMF for orbital periods in the
specified range.
  Conclusions: We predict bimodal planetary initial mass functions with shapes
depending on orbital period. The two main maxima are around a Jupiter mass and
about 50 earth masses. We predict an abundant population of Hot Neptunes and a
large population of planets that fill the solar-system gap of planetary masses
between Neptune and Saturn.

Astrophysics