Power-2 limb-darkening coefficients for the uvby, UBVRIJHK, SDSS ugriz, Gaia, Kepler, and TESS photometric systems

Abstract

Limb darkening is an important stellar phenomenon and must be accounted for in the study of stellar spectra, eclipsing binaries, transiting planetary systems, and microlensing events. The power-2 limb-darkening law provides a good match to the specific intensities predicted by stellar atmosphere models: it is better than other two-parameter laws and is only surpassed by the four-parameter law. Predictions of the limb-darkening coefficients for the power-2 law are not widely available. We therefore compute them, using stellar atmosphere models generated by the ATLAS (plane-parallel) code. Limb-darkening coefficients were computed for the space missions Gaia, Kepler, and TESS as well as for the photometric systems uvby, UBVRIJHK, and SDSS ugriz.The calculations were performed by adopting the Levenberg-Marquardt least-squares minimisation method and were computed with a resolution of 100 equally spaced viewing angles. We used 9586 model atmospheres covering 19 metallicities, effective temperatures of 3500 to 50000 K, log g values from 0.0 to 5.0, and microturbulent velocities of 0, 1, 2, 4, and 8 km. We confirm the superiority of the power-2 law, in terms of the quality of the fits, over other two-parameter laws. This is particularly relevant for the quadratic law, which is widely used. We recommend the use of the power-2 law in cases where a two-parameter law is needed.

References in corpus (1)

• Gravity and limb-darkening coefficients for compact stars: DA, DB, and DBA eclipsing white dwarfs

Cited by in corpus (8)

• Power-2 limb-darkening coefficients for the $uvby$, $UBVRIJHK$, SDSS $ugriz$, Gaia, Kepler, TESS, and CHEOPS photometric systems II. PHOENIX spherically symmetric stellar atmosphere models
• A sub-Neptune planet around TOI-1695 discovered and characterized with SPIRou and TESS
• $\delta$ Scuti pulsations in the bright Pleiades eclipsing binary HD 23642
• Advancing accuracy in age determinations of old-disk stars using an oscillating red giant in an eclipsing binary
• Limb-Darkening Coefficients for the 4-Term and Power-2 Laws for the JWST Space Mission, Adopting PHOENIX Spherical Models at High Resolution
• Using Stellar Spectral Energy Distributions to Measure Exoplanet Parameters
• A search for transit timing variations in the transiting hot Jupiter systems HIP 65, NGTS-6, NGTS-10 and WASP-173
• Exploring Long-period Architectures: Four New Planet Candidates from Kepler with Periods >342 days