Kepler Binary Stars in NGC 6819 Open Cluster: KIC 5113146 and KIC 5111815

In this study, investigation of two double-lined binary stars KIC 5113146 and KIC 5111815 in NGC 6819 is presented based on both photometric and spectroscopic data. Simultaneous analysis of light and radial velocity curves was made and the absolute parameters of the systems' components were determined for the first time. We find that both systems have F-type main-sequence components. The masses and radii were found to be $M_1=1.29\pm0.02 M_{\odot}$, $R_{1}=1.47\pm0.03 R_{\odot}$ and $M_{2}=1.19\pm0.02 M_{\odot}$, $R_{2}=1.13\pm0.02 R_{\odot}$ for the primary and secondary components of KIC 5113146; $M_{1}=1.51\pm0.08 M_{\odot}$, $R_{1}=2.02\pm0.05 R_{\odot}$ and $M_{2}=1.19\pm0.07 M_{\odot}$, $R_{2}=1.32\pm0.04 R_{\odot}$ for components of KIC 5111815, respectively. Evolutionary status of the components was evaluated based on the MESA evolutionary tracks and isochrones. The ages of the KIC 5111815 and KIC 5113146 were derived to be about $2.50\pm0.35$ Gyr and $1.95\pm0.40$ Gyr, respectively. Photometric distances were calculated to be $2850\pm 185$ pc for KIC 5113146 and $3120\pm 260$ pc for KIC 5111815. The results obtained in this study, astrometric data and researches in the literature reveal that both KIC 5113146 and KIC 5111815 systems are the most likely member of NGC 6819.Comment: 26 pages, including 7 figures and 4 tables, accepted for publication in Astronomical Journa

The Spectroscopic Orbits of Three Double-lined Eclipsing Binaries: I. BG Ind, IM Mon, RS Sgr

We present the spectroscopic orbit solutions of three double-lines eclipsing binaries, BG Ind, IM Mon and RS Sgr. The first precise radial velocities (RVs) of the components were determined using high resolution echelle spectra obtained at Mt. John University Observatory in New Zealand. The RVs of the components of BG Ind and RS Sgr were measured using Gaussian fittings to the selected spectral lines, whereas two-dimensional cross-correlation technique was preferred to determine the RVs of IM Mon since it has relatively short orbital period among the other targets and so blending of the lines is more effective. For all systems, the Keplerian orbital solution was used during the analysis and also circular orbit was adopted because the eccentricities for all targets were found to be negligible. The first precise orbit analysis of these systems gives the mass ratios of the systems as 0.894, 0.606 and 0.325, respectively for BG Ind, IM Mon and RS Sgr. Comparison of the mass ratio values, orbital sizes and minimum masses of the components of the systems indicates that all systems should have different physical, dynamical and probable evolutionary status.Comment: 17 pages, 6 figures and 4 tables, accepted for publication in New Astronom

On the Zero Point Constant of the Bolometric Correction Scale

Arbitrariness attributed to the zero point constant of the $V$ band bolometric corrections ($BC_V$) and its relation to "bolometric magnitude of a star ought to be brighter than its visual magnitude" and "bolometric corrections must always be negative" was investigated. The falsehood of the second assertion became noticeable to us after IAU 2015 General Assembly Resolution B2, where the zero point constant of bolometric magnitude scale was decided to have a definite value $C_{Bol}(W)= 71.197~425~...$~. Since the zero point constant of the $BC_V$ scale could be written as $C_2=C_{Bol}-C_V$, where $C_V$ is the zero point constant of the visual magnitudes in the basic definition $BC_V=M_{Bol}-M_V=m_{bol}-m_V$, and $C_{Bol}>C_V$, the zero point constant ($C_2$) of the $BC_V$ scale cannot be arbitrary anymore; rather, it must be a definite positive number obtained from the two definite positive numbers. The two conditions $C_2>0$ and $0<BC_V<C_2$ are also sufficient for $L_V<L$, a similar case to negative $BC_V$ numbers, which means that "bolometric corrections are not always negative". In sum it becomes apparent that the first assertion is misleading causing one to understand bolometric corrections must always be negative, which is not necessarily true.Comment: 12 pages, including 3 figures and 1 table, accepted for publication in Monthly Notices of the Royal Astronomical Societ