J/A+AS/105/145 J/A+AS/105/145 Lyrae stars of Omega Centauri Revisited I. Catal J O Petersen Astron. Astrophys. Suppl. Ser. 105 145 1994 1994A&AS..105..145P globular clusters: individual (Omega Cen) stars: oscillations stars: variables: general Mean light curves of 56 RRc and 75 RRab variables in {omega} Cen published by Martin (1938) are used to calculate Fourier decomposition parameters of order N = 5 and 7 and their standard deviations. Besides the Fourier parameters our catalogue contains additional quantities describing the form of light curves. Calculation of the standard deviations is briefly described, and it is shown that these formal errors are also realistic error estimates in typical cases. For 30 stars detailed comparisons between Fourier parameters derived from mean light curves and from the original observations are performed. We find no significant difference between the calculated parameter values in the two types of reduction. This result allows safe use of a large amount of mean light curves published in the literature. A few problems in applications of Fourier parameters are briefly discussed. The physical meaning of the Fourier parameters is not clear. Several representations of the results of Fourier decomposition have been used in the literature. Since we find no convincing argument for preferring one specific representation, we recommend publication of results of Fourier analysis of light curves allowing a wide variety of light curve characteristics to be investigated.

N Martin's variable number --- P Period d m0 Fourier mean magnitude mag A Fourier amplitude mag H1 Fourier parameter H1 mag/rad Phi1 Fourier parameter Phi1 mag/rad R21 Amplitude ratio R21 --- R31 Amplitude ratio R31 --- R41 Amplitude ratio R41 --- R51 Amplitude ratio R51 --- R61 Amplitude ratio R61 --- R71 Amplitude ratio R71 --- Phi21 Phase difference Phi21 rad Phi31 Phase difference Phi31 rad Phi41 Phase difference Phi41 rad Phi51 Phase difference Phi51 rad Phi61 Phase difference Phi61 rad Phi71 Phase difference Phi71 rad e_R21 std. deviation of amplitude ratio R21 --- e_R31 std. deviation of amplitude ratio R31 --- e_R41 std. deviation of amplitude ratio R41 --- e_R51 std. deviation of amplitude ratio R51 --- e_R61 std. deviation of amplitude ratio R61 --- e_R71 std. deviation of amplitude ratio R71 --- e_Phi21 std. deviation of phase difference Phi21 rad e_Phi31 std. deviation of phase difference Phi31 rad e_Phi41 std. deviation of phase difference Phi41 rad e_Phi51 std. deviation of phase difference Phi51 rad e_Phi61 std. deviation of phase difference Phi61 rad e_Phi71 std. deviation of phase difference Phi71 rad N Martin's variable number --- P Period d m0 Fourier mean magnitude mag A Fourier amplitude mag e_f std deviation on fit mag Np Number of mean point --- H1 Fourier amplitude H1 mag H2 Fourier amplitude H2 mag H3 Fourier amplitude H3 mag H4 Fourier amplitude H4 mag H5 Fourier amplitude H5 mag Phi1 Phase constant Phi1 rad Phi2 Phase constant Phi2 rad Phi3 Phase constant Phi3 rad Phi4 Phase constant Phi4 rad Phi5 Phase constant Phi5 rad f0 Phase of the point of the ascending branch of the curve with m=m0 --- fm Phase at the median magnitude m_m = (m_max + m_min)/2 --- ft Phase at m_t = (2m_max + m_min)/3 --- fmax Phase at light maximum --- fmin Phase at light minimum --- e_H1 std. deviation of H1 mag e_H2 std. deviation of H2 mag e_H3 std. deviation of H3 mag e_H4 std. deviation of H4 mag e_H5 std. deviation of H5 mag e_Phi1 std. deviation of Phi1 rad e_Phi2 std. deviation of Phi2 rad e_Phi3 std. deviation of Phi3 rad e_Phi4 std. deviation of Phi4 rad e_Phi5 std. deviation of Phi5 rad w0 Widths w0 --- wm Widths wm --- wt Widths wt --- Ske Skewneess parameter --- Acu Acuteness parameter --- D Distance from the center (on plate) mm Patricia Bauer CDS 1994Jan31 J_A+AS_105_145.xml