Precise Fourier parameters of Cepheid Radial Velocity Curves

The primary goal of this paper is to derive precise Fourier parameters of the radial velocity (RV) curves for fundamental and first-overtone Galactic Cepheids. For each star, we carefully selected RV measurements available in the literature which yield the highest precision of Fourier parameters. We performed a Fourier decomposition of the RV curves. We subtracted RV modulations caused by binary motion and have removed other residual trends. Finally, we have displayed and analyzed qualitatively the progressions found for Fourier parameters. We applied a standard identification of their pulsation mode based on their Fourier phase $\phi_{21}$. Our final sample includes 178 fundamental-mode and 33 first overtone pulsators, as well as 7 additional Cepheids whose pulsation mode is uncertain or undetermined according to our criteria. For the fundamental-mode Cepheids, we improved the precision of Fourier parameters in comparison of previous results from the literature. We are able to firmly identify V495 Cyg as a new first-overtone Cepheid. We confirm first-overtone nature of several other stars. We also show that $\alpha$ UMi should be definitely classified as a first-overtone pulsator. In 3 objects (VY Per, AQ Pup and QZ Nor) we found significant $\gamma$-velocity variations that we attribute to spectroscopic binarity. Finally, the analysis of the F-mode Fourier parameters up to 7th order reveals tight progression of Fourier phases. For $P<10\,$day we find a well defined upper limit for the Fourier amplitude $A_1$. The pulsation period coverage and the precision obtained, in particular for Fourier phase $\phi_{21}$, will be useful for studying the dynamics of Cepheid pulsations with the help of hydrodynamical models. Further radial velocity measurements from modern high-resolution spectroscopic instruments will be important to improve these results.