Observations of RR Lyrae in M31 using Difference Imaging Photometry

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The incidence and population statistics of RR Lyrae in the inner parts of M31 are extremely poorly-determined. At a distance modulus 24.3, RR Lyrae have an R ~ 25 superposed on a surface brightness between 18 and 20 mag arcsec(-2) at the inner disk, making them extremely enigmatic to detect. Pritchet & van den Bergh (1987, ApJ, 316, 517) found only 30 RR Lyrae candidates in the halo [40(') (9 kpc) from the nucleus] using the CFHT 3.6-m. With < B > = 25.68, this implies a specific incidence of ~ 100 for each B=15.9 (or R ~ 14.5). Using the ``Difference Image Photometry'' (Tomaney & Crotts, 1996, AJ, 112, 2872) technique to isolate variable sources within unresolved fields, we seek to better determine the population of RR Lyrae within M31. Observations globally-distributed in longitude (including the VATT 1.8-m, INT 2.5-m and Wise 1-m) were made between Oct. 15 to Oct. 21, 1996 on a 10(') x 10(') far-side field 1.(') 5 (0.3 to 2.5 kpc) from the nucleus in the bulge/inner disk. Our study incorporates INT data, together with concurrent data from the ongoing Columbia-VATT M31 microlensing survey (Crotts & Tomaney 1996, ApJ, 473, L87). Identification of RR Lyrae is nontrivial since they lie deeply embedded within the unresolved bulge/disk. We median-combine differenced images using a temporal-filter in phase and period to identify variables and their tentative periods. Adopting the above halo specific-incidence and a halo metallicity, KPNO 4-m observations of M31 indicate that we expect to find ≲ 0.9 RR Lyrae per square arcsec. This corresponds to ≲ 3 x 10(5) RR Lyrae in our field. Since lower incidence indicates higher metallicity, this study is also a good diagnostic for metallicity, which is otherwise difficult to determine due to crowding. We also search for additional short-period populations of variables, such as eclipsing binaries and beta Cepheids.

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