Physical Properties of the Transiting Planetary System TrES-3
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Abstract:
We present four new transits of the planetary system TrES-3 observed between 2009 May and 2010 June. Among these, the third transit by itself indicates possible evidence for brightness disturbance, which might be the result of the planet blocking a cool starspot on the stellar surface. A total of 109 transit times, including our measurements, were used to determine the improved ephemeris with a transit epoch of 2454185.910944$\pm$0.000072 HJED and an orbital period of 1.30618700$\pm$0.00000015 d. We analyzed the transit light curves using the JKTEBOP code and adopting the quadratic limb-darkening law. In order to derive the physical properties of the TrES-3 system, the transit parameters are combined with the empirical relations from eclipsing binary stars and stellar evolutionary models. The stellar mass and radius obtained from a calibration using $T_A$, log $\rho_{\rm A}$ and [Fe/H] are consistent with those from the isochrone analysis. We found that the exoplanet TrES-3b has a mass of 1.93$\pm$0.07 M$_{\rm Jup}$, a radius of 1.30$\pm$0.04 R$_{\rm Jup}$, a surface gravity of log $g_{\rm b}$=3.45$\pm$0.02, a density of 0.82$\pm$0.06 $\rho_{\rm Jup}$, and an equilibrium temperature of 1641$\pm$23 K. The results are in good agreement with theoretical models for gas giant planets.Keywords:
Starspot
Ephemeris
Surface gravity
Effective temperature
Hot Jupiter
Orbital period
Subgiant
Stellar light curves are well known to encode physical stellar properties. Precise, automated and computationally inexpensive methods to derive physical parameters from light curves are needed to cope with the large influx of these data from space-based missions such as Kepler and TESS. Here we present a new methodology which we call The Swan, a fast, generalizable and effective approach for deriving stellar surface gravity ($\log g$) for main sequence, subgiant and red giant stars from Kepler light curves using local linear regression on the full frequency content of Kepler long cadence power spectra. With this inexpensive data-driven approach, we recover $\log g$ to a precision of $\sim$0.02 dex for 13,822 stars with seismic $\log g$ values between 0.2-4.4 dex, and $\sim$0.11 dex for 4,646 stars with Gaia derived $\log g$ values between 2.3-4.6 dex. We further develop a signal-to-noise metric and find that granulation is difficult to detect in many cool main sequence stars ($T_{\text{eff}}$ $\lesssim$ 5500 K), in particular K dwarfs. By combining our $\log g$ measurements with Gaia radii, we derive empirical masses for 4,646 subgiant and main sequence stars with a median precision of $\sim$7%. Finally, we demonstrate that our method can be used to recover $\log g$ to a similar mean absolute deviation precision for TESS-baseline of 27 days. Our methodology can be readily applied to photometric time-series observations to infer stellar surface gravities to high precision across evolutionary states.
Subgiant
Surface gravity
Effective temperature
Starspot
Red-giant branch
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Doppler-based planet surveys have shown that, besides metallicity, the planet occurrence is also correlated with stellar mass, increasing from M to F-A spectral types. However, it has recently been argued that the subgiants (which represent A stars after they evolve off the main sequence) may not be as massive as suggested initially, which would significantly change the correlation found. To start investigating this claim, we have studied the subgiant star HD 185351, which has precisely measured physical properties based on asteroseismology and interferometry. An independent spectroscopic differential analysis based on excitation and ionization balance of iron lines yielded the atmospheric parameters $T_{\rm eff}$ = 5035 $\pm$ 29 K, $\log$ g = 3.30 $\pm$ 0.08 and [Fe/H] = 0.10 $\pm$ 0.04. These were used in conjunction with the PARSEC stellar evolutionary tracks to infer a mass M = 1.77 $\pm$ 0.04 M$_{\odot}$, which agrees well with the previous estimates. Lithium abundance was also estimated from spectral synthesis (A(Li) = 0.77 $\pm$ 0.07) and, together with $T_{\rm eff}$ and [Fe/H], allowed to determine a mass M = 1.64 $\pm$ 0.06 M$_{\odot}$, which is independent of the star's parallax and surface gravity. Our new measurements of the stellar mass support the notion that HD185351 is a Retired A Star with a mass in excess of 1.6 M$_{\odot}$.
Subgiant
Surface gravity
Effective temperature
Star (game theory)
Asteroseismology
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Abstract Temperature contrasts and magnetic field strengths of sunspot umbrae broadly follow the thermal-magnetic relationship obtained from magnetohydrostatic equilibrium. Using a compilation of recent observations, especially in molecular bands, of temperature contrasts of starspots in cool stars, and a grid of Kurucz stellar model atmospheres constructed to cover layers of sub-surface convection zone, we examine how the above relationship scales with effective temperature ( T eff ), surface gravity g and the associated changes in opacity of stellar photospheric gas. We calculate expected field strengths in starpots and find that a given relative reduction in temperatures (or the same darkness contrasts) yield increasing field strengths against decreasing T eff due to a combination of pressure and opacity variations against T eff .
Starspot
Surface gravity
Sunspot
Effective temperature
Opacity
Photosphere
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Spectroscopic analysis of the Galactic halo star SDSS J102915+172927 has shown it to have a very low heavy element abundance, Z < 7.4 10-7, with [Fe/H] = -4.89 plus/minus 0.10 and an upper limit on the C abundance of [C/H] < -4.5. The low C/Fe ratio distinguishes this object from most other extremely metal poor stars. The effective temperature and surface gravity have been determined to be Teff = 5811 plus/minus 150 K and log g = 4.0 plus/minus 0.5. The surface gravity estimate is problematical in that it places the star between the main sequence and the subgiants in the Hertzsprung-Russell diagram. If it is assumed that the star is on the main sequence, its mass and are estimated to be M = 0.72 plus/minus 0.06 Msun and L = 0.45 plus/minus 0.10 Lsun, placing it at a distance of 1.35 plus/minus 0.16 kpc. The upper limit on the lithium abundance, A(Li) < 0.9, is inconsistent with the star being a dwarf, assuming that mixing is due only to convection. In this paper, we propose that SJ102915 is a sub-giant that formed with significantly higher Z than currently observed, in agreement with theoretical predictions for the minimum C and/or O abundances needed for low mass star formation. In this scenario, extremely low Z and low Li abundance result from gravitational settling on the main sequence followed by incomplete convective dredge-up during subgiant evolution. The observed Fe abundance requires the initial Fe abundance to be enhanced compared to C and O, which we interpret as formation of SJ102915 occurring in the vicinity of a type Ia supernova.
Subgiant
Surface gravity
Effective temperature
Low Mass
Giant star
Star (game theory)
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Doppler-based planet surveys have shown that, besides metallicity, the planet occurrence is also correlated with stellar mass, increasing from M to F-A spectral types. However, it has recently been argued that the subgiants (which represent A stars after they evolve off the main sequence) may not be as massive as suggested initially, which would significantly change the correlation found. To start investigating this claim, we have studied the subgiant star HD 185351, which has precisely measured physical properties based on asteroseismology and interferometry. An independent spectroscopic differential analysis based on excitation and ionization balance of iron lines yielded the atmospheric parameters $T_{\rm eff}$ = 5035 $\pm$ 29 K, $\log$ g = 3.30 $\pm$ 0.08 and [Fe/H] = 0.10 $\pm$ 0.04. These were used in conjunction with the PARSEC stellar evolutionary tracks to infer a mass M = 1.77 $\pm$ 0.04 M$_{\odot}$, which agrees well with the previous estimates. Lithium abundance was also estimated from spectral synthesis (A(Li) = 0.77 $\pm$ 0.07) and, together with $T_{\rm eff}$ and [Fe/H], allowed to determine a mass M = 1.64 $\pm$ 0.06 M$_{\odot}$, which is independent of the star's parallax and surface gravity. Our new measurements of the stellar mass support the notion that HD185351 is a Retired A Star with a mass in excess of 1.6 M$_{\odot}$.
Subgiant
Surface gravity
Effective temperature
Asteroseismology
Star (game theory)
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In the first part of this work, the empirical correlation of stellar surface brightness FV with (Ic — K) broad-band colour is investigated by using a sample of stars cooler than the Sun. A bilinear correlation is found to represent well the brightness of G, K and M giant stars. The change in slope occurs at (Ic — K)∼2.1 or at about the transition from K to M spectral types. The same relationship is also investigated for dwarf stars and found to be distinctly different from that of the giants. The dwarf star correlation differs by an average of −0.4 in (Ic-K) or by a maximum in Fv of ∼−0.1, positioning it below that of the giants, with both trends tending towards convergence for the hotter stars in our sample. The flux distribution derived from the Fv — (Ic — K) relationship for the giant stars, together with that derived from an FV — (V — K) relationship and the blackbody flux distribution, is then utilized to compute synthetic light V and colour (V — R)c, (V — I)c and (V — K) curves of cool spotted stars. We investigate the effects on the amplitudes of the curves by using these FV -colour relations and by assuming the effective gravity of the spots to be lower than the gravity of the unspotted photosphere. We find that the amplitudes produced by using the FV — (Ic — K) relationship are larger than those produced by the other two brightness correlations, meaning smaller and/or warmer spots.
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Surface gravity
Effective temperature
Photosphere
Giant star
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High resolution, high -- ratio optical spectra have been obtained for a sample of 6 K-type dwarf and subgiant stars, and have been analysed with three different LTE methods in order to derive detailed photospheric parameters and abundances and to compare the characteristics of analysis techniques. The results have been compared with the aim of determining the most robust method to perform complete spectroscopic analyses of K-type stars, and in this perspective the present work must be considered as a pilot study. In this context we have determined the abundance ratios with respect to iron of several elements. In the first method the photospheric parameters (Teff, , and ξ) and metal abundances are derived using measured equivalent widths and Kurucz LTE model atmospheres as input for the MOOG software code. The analysis proceeds in an iterative way, and relies on the excitation equilibrium of the lines for determining the effective temperature and microturbulence, and on the ionization equilibrium of the and lines for determining the surface gravity and the metallicity. The second method follows a similar approach, but discards the low excitation potential transitions (which are potentially affected by non-LTE effects) from the initial line list, and relies on the colour index to determine the temperature. The third method relies on the detailed fitting of the 6162 Å line to derive the surface gravity, using the same restricted line list as the second method. Methods 1 and 3 give consistent results for the program stars; in particular the comparison between the results obtained shows that the low-excitation potential transitions do not appear significantly affected by non-LTE effects (at least for the subgiant stars), as suggested by the good agreement of the atmospheric parameters and chemical abundances derived. The second method leads to systematically lower Teff and values with respect to the first one, and a similar trend is shown by the chemical abundances (with the exception of the oxygen abundance). These differences, apart from residual non-LTE effects, may be a consequence of the colour-Teff scale used. The α-elements have abundance ratios consistent with the solar values for all the program stars, as expected for “normal” disk stars. The first method appears to be the most reliable one, as it is self-consistent, it always leads to convergent solutions and the results obtained are in good agreement with previous determinations in the literature.
Microturbulence
Subgiant
Effective temperature
Surface gravity
Line (geometry)
Equivalent width
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Doppler-based planet surveys have shown that, besides metallicity, the planet occurrence is also correlated with stellar mass, increasing from M to F-A spectral types. However, it has recently been argued that the subgiants (which represent A stars after they evolve off the main sequence) may not be as massive as suggested initially, which would significantly change the correlation found. To start investigating this claim, we have studied the subgiant star HD 185351, which has precisely measured physical properties based on asteroseismology and interferometry. An independent spectroscopic differential analysis based on excitation and ionization balance of iron lines yielded the atmospheric parameters $T_{\rm eff}$ = 5035 $\pm$ 29 K, $\log$ g = 3.30 $\pm$ 0.08 and [Fe/H] = 0.10 $\pm$ 0.04. These were used in conjunction with the PARSEC stellar evolutionary tracks to infer a mass M = 1.77 $\pm$ 0.04 M$_{\odot}$, which agrees well with the previous estimates. Lithium abundance was also estimated from spectral synthesis (A(Li) = 0.77 $\pm$ 0.07) and, together with $T_{\rm eff}$ and [Fe/H], allowed to determine a mass M = 1.64 $\pm$ 0.06 M$_{\odot}$, which is independent of the star's parallax and surface gravity. Our new measurements of the stellar mass support the notion that HD185351 is a Retired A Star with a mass in excess of 1.6 M$_{\odot}$.
Subgiant
Surface gravity
Effective temperature
Asteroseismology
Star (game theory)
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We present results from a study of starspot areas (fS) and temperatures (TS), primarily on active, single-lined spectroscopic binaries, determined using molecular absorption bands. Expanding upon our previous studies, we have analyzed multiorder echelle spectra of eight systems to simultaneously measure several different molecular bands and chromospheric emission lines. We determined starspot parameters by fitting the molecular bands of interest, using spectra of inactive G and K stars as proxies for the nonspotted photosphere of the active stars, and using spectra of M stars as proxies for the spots. At least two bands with different Teff sensitivities are required. We found that fitting bands other than the TiO 7055 and 8860 Å features does not greatly extend the temperature range or sensitivity of our technique. The 8860 Å band is particularly important because of its sharply different temperature sensitivity. We did not find any substantial departures from fS or TS that we have measured previously based on single-order spectra. We refined our derived spot parameters using contemporaneous photometry where available. We found that using M giants as spot proxies for subgiant active stars often underestimates fS needed to fit the photometry; this is presumably due to the increase in strength of the TiO bands with decreasing gravity. We also investigated correlations between fS and chromospheric emission, and we developed a simple method to measure nonspot temperature (TQ) solely from our echelle spectra.
Starspot
Subgiant
Surface gravity
Photosphere
Effective temperature
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Stellar light curves are well known to encode physical stellar properties. Precise, automated and computationally inexpensive methods to derive physical parameters from light curves are needed to cope with the large influx of these data from space-based missions such as Kepler and TESS. Here we present a new methodology which we call The Swan, a fast, generalizable and effective approach for deriving stellar surface gravity ($\log g$) for main sequence, subgiant and red giant stars from Kepler light curves using local linear regression on the full frequency content of Kepler long cadence power spectra. With this inexpensive data-driven approach, we recover $\log g$ to a precision of $\sim$0.02 dex for 13,822 stars with seismic $\log g$ values between 0.2-4.4 dex, and $\sim$0.11 dex for 4,646 stars with Gaia derived $\log g$ values between 2.3-4.6 dex. We further develop a signal-to-noise metric and find that granulation is difficult to detect in many cool main sequence stars ($T_{\text{eff}}$ $\lesssim$ 5500 K), in particular K dwarfs. By combining our $\log g$ measurements with Gaia radii, we derive empirical masses for 4,646 subgiant and main sequence stars with a median precision of $\sim$7%. Finally, we demonstrate that our method can be used to recover $\log g$ to a similar mean absolute deviation precision for TESS-baseline of 27 days. Our methodology can be readily applied to photometric time-series observations to infer stellar surface gravities to high precision across evolutionary states.
Subgiant
Surface gravity
Effective temperature
Starspot
Red-giant branch
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