REVIEW 9 cited by
Efficient, uninformative sampling of limb darkening coefficients for two-parameter laws
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Efficient, uninformative sampling of limb darkening coefficients for two-parameter laws
read the original abstract
Stellar limb darkening affects a wide range of astronomical measurements and is frequently modelled with a parametric model using polynomials in the cosine of the angle between the line of sight and the emergent intensity. Two-parameter laws are particularly popular for cases where one wishes to fit freely for the limb darkening coefficients (i.e. an uninformative prior) due to the compact prior volume and the fact that more complex models rarely obtain unique solutions with present data. In such cases, we show that the two limb darkening coefficients are constrained by three physical boundary conditions, describing a triangular region in the two-dimensional parameter space. We show that uniformly distributed samples may be drawn from this region with optimal efficiency by a technique developed by computer graphical programming: triangular sampling. Alternatively, one can make draws using a uniform, bivariate Dirichlet distribution. We provide simple expressions for these parametrizations for both techniques applied to the case of quadratic, square-root and logarithmic limb darkening laws. For example, in the case of the popular quadratic law, we advocate fitting for q_1 = (u_1+u_2)^2 and q_2 = 0.5u_1(u_1+u_2)^{-1} with uniform priors in the interval [0,1] to implement triangular sampling easily. Employing these parametrizations allows one to derive model parameters which fully account for our ignorance about the intensity profile, yet never explore unphysical solutions, yielding robust and realistic uncertainty estimates. Furthermore, in the case of triangular sampling with the quadratic law, our parametrization leads to significantly reduced mutual correlations and provides an alternative geometric explanation as to why naively fitting the quadratic limb darkening coefficients precipitates strong correlations in the first place.
Forward citations
Cited by 9 Pith papers
-
The 35-Myr old infant planet TOI-837 b has a mildly misaligned orbit
TOI-837 b has a true obliquity of 25.9+7.5-6.3 deg, the first planet younger than 100 Myr with accessible ψ incompatible with an aligned orbit, favoring primordial disc torque followed by disc-driven migration.
-
The Mid-Infrared Transmission Spectrum of the Temperate Sub-Neptune TOI-270 d
First mid-IR transmission spectrum of TOI-270 d shows molecular features with Bayesian evidence ln B = 2.8-5.3 and identifies candidate trace molecules from an agnostic search of 203 species.
-
The GAPS Programme at TNG LXXIV. A reanalysis of the planetary systems TOI-1272 and TOI-1694 with HARPS-N and retraction of the planetary interpretation of TOI-1272 c
Reanalysis retracts TOI-1272c as a planet due to stellar activity, finds slightly eccentric orbits for TOI-1694b and c, and provides updated parameters with smaller uncertainties for both systems.
-
J0404+1112: A 3-Hour Eclipsing White Dwarf-Brown Dwarf Probing Multiple Atmospheric Regimes
J0404+1112 is a 2.93 hr period totally eclipsing WD+BD system with a hot DA white dwarf (T_eff ~28,000 K) and ~40 M_Jup brown dwarf, enabling isolation of nightside emission and serving as a JWST atmospheric benchmark.
-
The GAPS programme at TNG ?. TOI-1533: a compact system hosting a super-Neptune-mass pair with disparate radii
TOI-1533 hosts an inner sub-Neptune (P=3.63 d, R=3.15 R⊕) and outer super-Neptune-mass hot giant (P=8.06 d, R>7.5 R⊕, M≈40 M⊕, ρ<0.48 g cm⁻³) both transiting an active K-dwarf.
-
The mass of TOI-1883 b: A low density super-Neptune in the ridge regime transiting an early-M dwarf
Mass of 13.7 Earth masses and density 0.4 g cm^{-3} measured for TOI-1883 b, a super-Neptune in the ridge regime around an early-M dwarf, with implications for disk migration and photoevaporation.
-
TOI-3664 b, TOI-4034 b & TOI-6564 b: Three new hot Jupiters around stars approaching the terminal age main sequence
Three new hot Jupiters (periods 1.8-4 days, radii 1.22-1.58 RJup, masses 0.36-0.87 MJup) around evolved stars aged 4-9 Gyr, extending the sample for hot Jupiter evolutionary studies.
-
The GAPS Programme at TNG LXXIV. A reanalysis of the planetary systems TOI-1272 and TOI-1694 with HARPS-N and retraction of the planetary interpretation of TOI-1272 c
Reanalysis of TOI-1272 and TOI-1694 retracts TOI-1272 c as planetary, attributes the signal to stellar activity via Gaussian process modeling, and refines orbital parameters for the systems.
-
TOI-2147 b and TOI-6019 b: Two eccentric warm Jupiters detected and characterized with TESS and MaHPS
Detection and characterization of two eccentric warm Jupiters TOI-2147 b (P=26.2 d, e=0.29, M=116 M⊕) and TOI-6019 b (P=14.5 d, e=0.48, M=149 M⊕) with TESS and MaHPS data, showing mildly inflated radii consistent with...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.