Modeling the Galactic CV Distribution for the ChaMPlane Survey

For purposes of designing targeted cataclysmic variable (CV) detection surveys and interpreting results of other projects with many CV detections such as the ChaMPlane Survey, we have created a model of the CV distribution in the Galaxy. It is modeled as a warped, flared exponential disk with a Gaussian vertical distribution. Extinction is based on a detailed Galactic dust and gas model. A luminosity function for CVs is also incorporated, based on a smoothed version of published data. We calculate predicted field detection rates as a function of the limiting magnitude expected for the detecting system (i.e., WIYN/Hydra or NOAO 4 m/Mosaic). Monte Carlo techniques are used to assess statistical fluctuations in these rates. We have created maps of the expected CV distribution for the full nonbulge Galactic plane (20° < l < 340°,| b| < 15°) for use in both the ChaMPlane Survey and future CV surveys. Assuming a CV distribution with a scale height of 160 pc, the ChaMPlane observational result of 5 CVs in 13 northern fields is best fit by a CV local space density of 0.9^{+ 1.5}_−0.5 × 10⁻⁵ pc ⁻³, with the range representing the 95% confidence interval.