Context. The Gaia satellite will measure highly accurate absolute parallaxes
of hundreds of millions of stars by comparing the parallactic displacements in
the two fields of view of the optical instrument. The requirements on the
stability of the 'basic angle' between the two fields are correspondingly
strict, and possible variations (on the microarcsec level) are therefore
monitored by an on-board metrology system. Nevertheless, since even very small
periodic variations of the basic angle might cause a global offset of the
measured parallaxes, it is important to find independent verification methods.
Aims. We investigate the potential use of Galactic Cepheids as standard candles
for verifying the Gaia parallax zero point. Methods. We simulate the complete
population of Galactic Cepheids and their observations by Gaia. Using the
simulated data, simultaneous fits are made of the parameters of the
period-luminosity relation and a global parallax zero point. Results. The total
number of Galactic Cepheids is estimated at about 20 000, of which nearly half
could be observed by Gaia. In the most favourable circumstances, including
negligible intrinsic scatter and extinction errors, the determined parallax
zero point has an uncertainty of 0.2 microarcsec. With more realistic
assumptions the uncertainty is several times larger, and the result is very
sensitive to errors in the applied extinction corrections. Conclusions. The use
of Galactic Cepheids alone will not be sufficient to determine a possible
parallax zero-point error to the full potential systematic accuracy of Gaia.
The global verification of Gaia parallaxes will most likely depend on a
combination of many different methods, including this one.Comment: 7 pages, 6 figures. Accepted for publication in Astronomy and
Astrophysic