REVIEW 3 major objections 4 minor 10 cited by
First JWST thermal phase curves of temperate terrestrial exoplanets reveal no thick atmosphere around TRAPPIST-1 b and c
T0 review · 3 major / 4 minor · reviewed 2026-08-05 · deepseek-v4-flash
Pith's one-line read JWST thermal phase curves of TRAPPIST-1 b and c rule out efficient heat redistribution, making thick atmospheres unlikely on either temperate rocky planet.
desk verdict First JWST phase curves of temperate terrestrial planets; main result is solid, but 'no thick atmosphere' is an overstatement—the fine-tuned hazy CO2 case survives. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The thermal phase curve is the load-bearing observable: the planet-to-star flux measured continuously across the orbit, decomposed into a dayside term, a nightside term, and a longitudinal phase offset δ. An atmosphere redistributes heat, producing a nonzero nightside term and a peak that shifts away from the substellar point; an airless body emits from the dayside only, peaking at the substellar point with a quasi-Lambertian limb profile. The paper compares the measured parameters to (1) a two-column day-night climate-photochemical model generating synthetic phase curves for many atmospheric compositions and pressures, (2) 3D global climate model simulations of the surviving scenarios, incl
What would settle it
A higher-precision or 12.8 µm phase curve of TRAPPIST-1 b that detects nightside emission above roughly 100 ppm, or a phase offset beyond about 15 degrees, would contradict the airless conclusion; conversely, detecting the O3 or H2O features predicted at 50–80 ppm in b's transmission spectrum would support the surviving thin-atmosphere scenarios. For c, the planned 12.8 µm eclipse measurement can decide between a bare reflective surface and a thin O2 atmosphere.
Extended reading notes
Core claim
The central discovery is that day-night heat redistribution — the observational signature of an atmosphere — is essentially zero for TRAPPIST-1 b and very low for TRAPPIST-1 c. In the nominal model, b's nightside flux is 39+55/−27 ppm against a dayside of 840±56 ppm, with phase offset −6.5±6.4 degrees; full heat redistribution has probability below 0.0006%. For c, the nightside is 62+60/−43 ppm against a 392+75/−63 ppm dayside. A model assuming both planets are bare rocks fits better (Bayes factor >1152). Previously viable scenarios for b — N2 ≥1 bar, thick O2, CO2-rich hazy atmospheres — are discarded because they would deliver measurable nightside flux. For c, steam atmospheres up to 10 ba
Load-bearing premise
The conclusion rests on the atmospheric models predicting how much heat even a thin or hazy atmosphere would move to the nightside; if such an atmosphere transports less heat than modeled, or the models miss the sharp dayside hot spot, a thin atmosphere could remain hidden in the data.
Editorial extensions
If this is right
- TRAPPIST-1 b, very likely bare rock, can serve as a clean stellar-contamination reference for transmission spectroscopy of the outer TRAPPIST-1 planets, provided the small residual features predicted by surviving thin-atmosphere models are checked.
- TRAPPIST-1 c's ambiguity between an airless reflective surface and a thin O2-dominated atmosphere is directly testable: planned 12.8 µm eclipse observations should separate the two.
- The divergent states of b and c, despite similar sizes and compositions, constrain how quickly M-dwarf planets lose secondary atmospheres and suggest atmospheric loss is not uniform across the system.
- Phase curves, not just eclipse depths, are validated as the decisive measurement for distinguishing bare rocks from hazy or thin atmospheres on temperate rocky exoplanets.
- The tentative 0.2 R⊕ candidate planet i, seen at ~4σ in one analysis but below 3σ in others, is not robustly detected and requires confirmation.
Reading between the lines
- If TRAPPIST-1 b is truly airless, its modestly dark, fresh ultramafic-like surface offers a calibration point for space-weathering rates on M-dwarf planets, which the paper suggests may be faster than in the Solar System.
- The phase-curve diagnostic used here should transfer to other temperate M-dwarf rocky planets: a single full-orbit 15 µm observation can break the eclipse-depth degeneracy between airless, hazy-thick, and thin-transparent atmospheres.
- Because the two-column model may under-resolve the sharp substellar temperature peak for thin atmospheres, the 'no substantial atmosphere' claim for b is strongest for pressures ≳0.1 bar; extremely tenuous (~0.01 bar) atmospheres are excluded mainly by stability arguments (nightside CO2 collapse) rather than by the phase curve alone.
- The suggestion that c may be airless-but-more-reflective implies that 'airless' is not a single observable state; surface albedo variation could complicate population-level interpretations of rocky exoplanet emission.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper presents JWST/MIRI F1500W thermal phase curves of TRAPPIST-1 b and c (Program GO 3077), combined with earlier eclipse observations, from four independent reductions and global MCMC analyses. The nominal analysis finds for b a dayside flux of 840±56 ppm, nightside flux of 39+55/−27 ppm, and phase offset −6.5±6.4 deg; for c, dayside flux 392+75/−63 ppm, nightside flux 62+60/−43 ppm, and phase offset 10+25/−22 deg. These values rule out efficient heat redistribution for both planets and are consistent with an airless or very tenuous-atmosphere interpretation. Forward atmospheric modeling with a 1.5D climate-photochemical model and 3D GCMs is used to show that most thick, greenhouse-efficient atmospheres are disfavored, while thin O2/N2 atmospheres and, for b, a fresh ultramafic airless surface remain viable. The paper concludes that TRAPPIST-1 b is unlikely to possess a substantial atmosphere, while TRAPPIST-1 c may have a tenuous O2-dominated atmosphere or an airless reflective surface.
Significance. If the conclusions hold, this is a landmark dataset: the first thermal phase curves of temperate terrestrial exoplanets, providing much stronger constraints on heat redistribution than eclipse depths alone. The four independent reductions, Gaussian-process treatment of correlated noise, and forward self-consistent atmospheric models are notable strengths, as is the explicit comparison of multiple modeling frameworks. The measurements firmly exclude full heat redistribution and thereby strongly disfavor the thick, well-mixed atmospheres previously discussed for these planets. However, the paper's strongest claim—that TRAPPIST-1 b has 'no thick atmosphere'—is not strictly a data-driven exclusion: the 1-bar CO2 'Haze high' 3D GCM case is acknowledged to match the phase-curve and eclipse observables and is set aside largely on a fine-tuning judgment. The significance is high, but the headline conclusion needs to be carefully qualified.
major comments (3)
- [Main text, 'Comparing the two sets...'; Methods '3-D Global Climate Modeling'; Fig. 3b] The central claim that TRAPPIST-1 b has no substantial atmosphere is not fully supported by the statistical comparison presented. The paper explicitly states that the CO2 1 bar + 'Haze high' GCM case remains consistent with the dayside flux, nightside flux, and phase offset (Fig. 3b), and is rejected only because it 'appear[s] to be very fine-tuned' and requires 'unlikely densities' of haze. No prior distribution, sensitivity scan over fhaze or single-scattering albedo, or Bayes factor is provided to quantify this fine-tuning; only two haze grid points are shown. A reader cannot independently assess whether the parameters are improbable enough to overturn the model-data agreement. Please either provide a quantitative model-comparison (e.g., a prior-based marginal likelihood over the haze parameters) or soften the abstract/title to 'no thick atmosphere with efficient heat redistribution'
- [Methods, Eqs. (1)-(4) and Fig. 3] The atmospheric-model comparison compresses the observed phase curve into three scalar parameters—dayside flux, nightside flux, and phase offset—derived from a first-order sinusoidal model, and the paper itself cautions that the full phase-curve shape is 'not a robust basis for comparison.' This discards potentially discriminating information: a hazy thick atmosphere and an airless surface could differ in higher-order phase-curve morphology (e.g., the sharpness of the substellar peak, ingress/egress shape, or second harmonic) even when their first-order Fourier amplitudes and offsets agree. Given that the surviving 'Haze high' scenario is distinguished from the airless case mainly by such shape details, the decision not to use the full phase curve weakens the empirical basis for the 'no thick atmosphere' conclusion. Please state explicitly what information is lost, or include a fit to th
- [Methods, '3-D Global Climate Modeling of TRAPPIST-1b and c'] The 'Haze high' GCM case, which is the only thick atmosphere that survives the phase-curve comparison, is tuned to the eclipse data by construction: the single-scattering albedo is set to 0.5 and the incoming stellar flux is 'artificially decreas[ed]' specifically to make the dayside emission match the MIRI occultations. Consequently, the subsequent agreement with the phase curve is not an independent prediction, and the model's free parameters (fhaze and single-scattering albedo) are adjusted in the region of parameter space that maximizes agreement. The paper should clarify this circularity and, ideally, show how the phase-curve predictions vary as the tuning parameters are moved within a physically motivated range, rather than presenting the single surviving case as evidence against atmospheres.
minor comments (4)
- [Table 1, planet b impact parameter] The entry '0.106+0.47/−0.50 R∗' appears to have a typo; presumably this should be 0.106+0.047/−0.050 R∗. Please correct.
- [Methods, Eqs. (1)-(3)] The text defines γ(i,t) as the unocculted fraction, but the equations use Ω(i,t) for the occultation factor. Please make the notation consistent.
- [Methods, 'Data reduction and analysis (ED)'] Program numbers are inconsistent: the text refers to 'GO 2305' while the rest of the paper and Table S1 use GO 2304. Please verify.
- [Fig. 3 caption] The caption says 'The data shown correspond to the nominal reduction (Analysis #1) by MG,' but the text says the analyses are consistent. Please specify which of the four reductions is plotted and why (binned at 60 minutes).
Circularity Check
No significant circularity: the phase-curve parameters are measured, and the atmospheric/surface models are forward models compared to those measurements without being fit to them.
full rationale
The central derivation is self-contained against external benchmarks. The dayside, nightside, and offset parameters (F_D, F_N, delta) are fitted directly to the JWST/MIRI light curves via MCMC, and the atmospheric/surface scenarios are then forward-modeled and compared to those measured values. The 1.5D day-night models and 3D GCMs do not take the phase-curve parameters as inputs; the paper explicitly reports confidence intervals for "our forward models (with no fit parameters)" (Methods, Day-Night Atmospheric Phase Curve Modeling). The data/model comparison uses the posteriors of the measured parameters, not a fit of the models to them, so the main inference (inefficient heat redistribution, disfavored thick greenhouse atmospheres) is not circular. Four independent reductions/analyses agree, and the airless quasi-Lambertian model is an independent alternative hypothesis, not a renamed version of the atmospheric model. The GCM haze cases are pre-selected to match prior occultation measurements, some of which are also included in the global light-curve fit, but the discriminating nightside flux and phase offset are not used in that selection; the paper is also transparent that the surviving hazy CO2 case requires fine-tuned parameters and that the 1.5D thin-atmosphere models may miss the substellar peak. These are modeling limitations and prior judgments, not definitional or fitted-input circularity. Self-citations to prior work by the same groups (e.g., the VPL two-column model and Generic PCM GCM) are methodological references with independent physical content, not load-bearing appeals to an unverified uniqueness or ansatz result.
Assumptions & free parameters
free parameters (4)
- fhaze (haze mass mixing factor) in 3D GCM =
7e-4 (Haze high), 3e-5 (Haze low)
- GCM haze single-scattering albedo =
0.5 (Haze high), 0.2 (Haze low)
- GCM surface albedo =
0.1
- 1.5D basalt surface albedo for b =
half of basalt (Mercury-like)
assumptions (5)
- domain assumption Planets are tidally locked in 1:1 synchronous rotation
- domain assumption Atmospheric heat transport is correctly captured by the 1.5D two-column model and the Generic PCM 3D GCM
- domain assumption The sinusoidal day/night phase curve model and the quasi-Lambertian model span the plausible photometric signatures of rocky planets
- domain assumption Absolute stellar flux F* = 2.496 +/- 0.080 mJy at 14.87 um is correct
- domain assumption Limb-darkening coefficients from ExoCTK for T=3500K, log g=5.0 apply to TRAPPIST-1 after inflating errors
invented entities (1)
-
Candidate planet i (TRAPPIST-1 i)
Cite this review
Pith. "Pith review of First JWST thermal phase curves of temperate terrestrial exoplanets reveal no thick atmosphere around TRAPPIST-1 b and c." pith.science (2026). https://pith.science/paper/QMWMKTHC
@misc{pith2026250902128,
author = {Pith},
title = {Pith review of: First JWST thermal phase curves of temperate terrestrial exoplanets reveal no thick atmosphere around TRAPPIST-1 b and c},
year = {2026},
howpublished = {\url{https://pith.science/paper/QMWMKTHC}},
note = {Machine review of arXiv:2509.02128}
}
abstract
We report JWST/MIRI 15 $\mu$m phase curves of TRAPPIST-1 b and c, revealing thermal emission consistent with their irradiation levels, assuming no efficient heat redistribution. We find that TRAPPIST-1 b shows a high dayside brightness temperature (490 $\pm$ 17 K), no significantly detectable nightside emission ($F_{\rm b, Night, max}$ = $39_{-27}^{+55}$ ppm), and no phase offset -- features consistent with a low-albedo, airless ultramafic rocky surface. TRAPPIST-1 c exhibits a lower dayside brightness temperature (369 $\pm$ 23 K), and a nightside flux statistically indistinguishable from that of TRAPPIST-1 b ($F_{\rm c, Night, max}$ = $62_{-43}^{+60}$ ppm). Atmosphere models with surface pressures $\geq$1 bar and efficient greenhouse effects are strongly disfavoured for both planets. TRAPPIST-1 b is unlikely to possess any substantial atmosphere, while TRAPPIST-1 c may retain a tenuous, greenhouse-poor O$_2$-dominated atmosphere or be similarly airless with a more reflective surface. These results suggest divergent evolutionary pathways or atmospheric loss processes, despite similar compositions. These measurements tightly constrain atmosphere retention in the inner TRAPPIST-1 system.
Forward citations
Cited by 10 Pith papers
-
JWST COMPASS Program: The 3--5$\mu$m transmission spectrum of LTT 1445 A b
JWST NIRSpec observations of LTT 1445 A b yield a featureless 3-5μm transmission spectrum, limiting atmospheric metallicity to ≳350× solar under grey-cloud models.
-
Sulfur photochemistry observationally traces mantle redox states of rocky planets
Photochemical SO2 in rocky exoplanet atmospheres produces JWST-detectable absorption features at 4 and 7–9 μm that trace the mantle's oxidation state, linking observed spectra to planetary interiors.
-
GJ 3929 b as the First Complete Rocky Worlds DDT Data Set
GJ 3929 b's full four-eclipse JWST/MIRI data set yields an eclipse depth of 118±22 ppm, consistent with a bare rocky surface and ruling out thick CO2 atmospheres at >3σ.
-
A single power law for the TRAPPIST-1 flare distribution across four orders of magnitude in energy
TRAPPIST-1 flares follow a single power law N(≥E_TESS) ∝ E_TESS^{-0.753} from 10^{29} to 10^{33} erg after sensitivity corrections and bandpass conversion.
-
Uniform Reinterpretation of Rocky Exoplanet Secondary Eclipse Observations and the Impact of Stellar and Orbital Uncertainties
Accounting for stellar and orbital uncertainties shows that predicted eclipse depths for bare-rock models of rocky exoplanets carry substantial uncertainty comparable to measurements, establishing a fundamental precis...
-
A Search for Wide-orbit Planets Around M-dwarfs using Deep MIRI 15-micron Images
Reference differential imaging of archival MIRI F1500W TSO data reaches 5σ contrasts of ~10^{-3} at 1" and ~2×10^{-4} beyond 3", enabling sensitivity to ~4–10 MJup planets at tens of AU around old M-dwarfs.
-
A broad exploration of climate and observability of close-in rocky exoplanets: applications to Ross 128 b
3D climate simulations of Ross 128 b yield geometric albedos of 0.07 to 0.2 in the visible and near zero in the near-infrared, well below the common 0.3 assumption.
-
A single power law for the TRAPPIST-1 flare distribution across four orders of magnitude in energy
TRAPPIST-1 flares obey a single power law N(≥E) ∝ E^{-0.753} from 10^29 to 10^33 erg in TESS energy after sensitivity corrections.
-
GJ 3929 b as the First Complete Rocky Worlds DDT Data Set
Complete four-observation JWST dataset for GJ 3929 b yields 118±22 ppm eclipse depth, consistent with bare rock while allowing thin atmospheres and ruling out only thick CO2 cases at >3σ.
-
A Search for Wide-orbit Planets Around M-dwarfs using Deep MIRI 15-micron Images
Archival MIRI imaging reaches contrasts of 10^-3 to 10^-4 at 1-3 arcseconds, enabling detection of ~170 K Jupiter-sized planets at separations >35 AU around M-dwarfs at 12.5 pc, with no new planets found but useful se...
Reference graph
Works this paper leans on
-
[1]
& Charbonneau, D
Ment, K. & Charbonneau, D. The Occurrence Rate of Terrestrial Planets Orbiting Nearby Mid-to-late M Dwarfs from TESS Sectors 1-42. Astron. J. 165, 265 (2023)
2023
-
[2]
Gillon, M. et al. The trappist-1 jwst community initiative. Bulletin of the AAS 52 (2020). URL http://dx.doi.org/10.3847/25c2cfeb.afbf0205. 58
-
[3]
Lustig-Yaeger, J., Meadows, V. S. & Lincowski, A. P. The Detectability and Char- acterization of the TRAPPIST-1 Exoplanet Atmospheres with JWST. Astron. J. 158, 27 (2019)
2019
-
[4]
Greene, T. P. et al. Thermal emission from the Earth-sized exoplanet TRAPPIST- 1 b using JWST. Nature 618, 39–42 (2023)
2023
-
[5]
Ih, J., Kempton, E. M. R., Whittaker, E. A. & Lessard, M. Constraining the Thickness of TRAPPIST-1 b’s Atmosphere from Its JWST Secondary Eclipse Observation at 15 µm. Astrophys. J. Lett. 952, L4 (2023)
2023
-
[6]
Ducrot, E. et al. Combined analysis of the 12.8 and 15 µm JWST/MIRI eclipse observations of TRAPPIST-1 b. Nature Astronomy (2024)
2024
-
[7]
Zieba, S. et al. No thick carbon dioxide atmosphere on the rocky exoplanet TRAPPIST-1 c. Nature 620, 746–749 (2023)
2023
-
[8]
Lincowski, A. P. et al. Potential Atmospheric Compositions of TRAPPIST-1 c Constrained by JWST/MIRI Observations at 15 µm. Astrophys. J. Lett. 955, L7 (2023)
2023
Show all 106 references
-
[9]
Turbet, M. et al. Water condensation zones around main sequence stars. Astron. Astrophys. 679, A126 (2023)
2023
-
[10]
Hammond, M. et al. Reliable Detections of Atmospheres on Rocky Exoplanets with Photometric JWST Phase Curves. Astrophys. J. Lett. 978, L40 (2025)
2025
-
[11]
Bell, T. et al. Eureka!: An End-to-End Pipeline for JWST Time-Series Observations. The Journal of Open Source Software 7, 4503 (2022)
2022
-
[12]
Stetson, P. B. DAOPHOT: A Computer Program for Crowded-Field Stellar Photometry. Publ. Astron. Soc. Pac. 99, 191 (1987)
1987
-
[13]
Gillon, M. et al. The Spitzer search for the transits of HARPS low-mass planets. I. No transit for the super-Earth HD 40307b. Astron. Astrophys. 518, A25 (2010)
2010
-
[14]
Gillon, M. et al. The TRAPPIST survey of southern transiting planets. I. Thirty eclipses of the ultra-short period planet W ASP-43 b. Astron. Astrophys. 542, A4 (2012)
2012
-
[15]
& Agol, E
Mandel, K. & Agol, E. Analytic Light Curves for Planetary Transit Searches. Astrophys. J. Lett. 580, L171–L175 (2002)
2002
-
[16]
Placek, B., Knuth, K. H. & Angerhausen, D. Exonest: Bayesian model selec- tion applied to the detection and characterization of exoplanets via photometric variations. Astrophys. J. 795, 112 (2014). URL https://dx.doi.org/10.1088/ 0004-637X/795/2/112. 59
2014
-
[17]
Rounding up the wanderers: optimizing coronagraphic searches for extrasolar planets
Agol, E. Rounding up the wanderers: optimizing coronagraphic searches for extrasolar planets. Mon. Not. R. Astron. Soc. 374, 1271–1289 (2007)
2007
-
[18]
& Rubin, D
Gelman, A. & Rubin, D. B. Inference from Iterative Simulation Using Multiple Sequences. Statistical Science 7, 457–472 (1992)
1992
-
[19]
Agol, E. et al. Refining the Transit-timing and Photometric Analysis of TRAPPIST-1: Masses, Radii, Densities, Dynamics, and Ephemerides. Planet. Sci. J. 2, 1 (2021)
2021
-
[20]
Mikal-Evans, T. et al. A JWST NIRSpec Phase Curve for W ASP-121b: Dayside Emission Strongest Eastward of the Substellar Point and Nightside Conditions Conducive to Cloud Formation. Astrophys. J. Lett. 943, L17 (2023)
2023
-
[21]
Kempton, E. M. R. et al. A reflective, metal-rich atmosphere for GJ 1214b from its JWST phase curve. Nature 620, 67–71 (2023)
2023
-
[22]
Zhang, M. et al. GJ 367b Is a Dark, Hot, Airless Sub-Earth. Astrophys. J. Lett. 961, L44 (2024)
2024
-
[23]
Bell, T. J. et al. Nightside clouds and disequilibrium chemistry on the hot Jupiter W ASP-43b.arXiv e-prints arXiv:2401.13027 (2024)
2024 arXiv
-
[24]
Lincowski, A. P. et al. Evolved Climates and Observational Discriminants for the TRAPPIST-1 Planetary System. Astrophys. J. 867, 76 (2018)
2018
-
[25]
Lim, O. et al. Atmospheric Reconnaissance of TRAPPIST-1 b with JWST/NIRISS: Evidence for Strong Stellar Contamination in the Transmission Spectra. arXiv e-prints arXiv:2309.07047 (2023)
2023 arXiv
-
[26]
Turbet, M. et al. Modeling climate diversity, tidal dynamics and the fate of volatiles on TRAPPIST-1 planets. Astron. Astrophys. 612, A86 (2018)
2018
-
[27]
Turbet, M. et al. A Review of Possible Planetary Atmospheres in the TRAPPIST- 1 System. Space Sci. Rev. 216, 100 (2020)
2020
-
[28]
Dong, C. et al. Atmospheric escape from the TRAPPIST-1 planets and implications for habitability. Proc. Natl Acad. Sci. USA 115, 260–265 (2018)
2018
-
[29]
A roadmap to the efficient and robust characterization of temperate terrestrial planet atmospheres with JWST
TRAPPIST-1 JWST Community Initiative et al. A roadmap to the efficient and robust characterization of temperate terrestrial planet atmospheres with JWST. arXiv e-prints arXiv:2310.15895 (2023)
2023 arXiv
-
[30]
Rathcke, A. D. et al. Stellar contamination correction using back-to-back transits of trappist-1 b and c (2024). URL https://arxiv.org/abs/2412.16541. 2412.16541
2024 arXiv
-
[31]
Lyu, X. et al. Super-earth lhs3844b is tidally locked. Astrophys. J. 964, 152 (2024). URL http://dx.doi.org/10.3847/1538-4357/ad2077. 60
2024 doi
-
[32]
Mansfield, M. et al. Identifying Atmospheres on Rocky Exoplanets through Inferred High Albedo. Astrophys. J. 886, 141 (2019)
2019
-
[33]
Coy, B. P. et al. Population-level Hypothesis Testing with Rocky Planet Emission Data: A Tentative Trend in the Brightness Temperatures of M-Earths (2025)
2025
-
[34]
Pieters, C. M. & Noble, S. K. Space weathering on airless bodies. J. Geophys. Res.: Planets 121, 1865–1884 (2016)
2016
-
[35]
Ducrot, E. et al. TRAPPIST-1: Global results of the Spitzer Exploration Science Program Red Worlds. Astron. Astrophys. 640, A112 (2020)
2020
-
[36]
Gillon, M. et al. Temperate Earth-sized planets transiting a nearby ultracool dwarf star. Nature 533, 221–224 (2016)
2016
-
[37]
J., Rackham, B
Fauchez, T. J., Rackham, B. V., Ducrot, E., Stevenson, K. B. & de Wit, J. Stellar Models Also Limit Exoplanet Atmosphere Studies in Emission. arXiv e-prints arXiv:2502.19585 (2025)
2025 arXiv
-
[38]
Kass, R. E. & Raftery, A. E. Bayes factors. Journal of the American Statistical Association 90 (430), 773–795 (1995). URL https://www.tandfonline.com/doi/abs/10.1080/01621459. 1995.10476572. https://doi.org/10.1080/01621459.1995.10476572, https://www.tandfonline.com/doi/pdf/10...
1995
-
[39]
Bushouse, H. et al. JWST Calibration Pipeline (2024)
2024
-
[40]
Deming, D. et al. Spitzer Secondary Eclipses of the Dense, Modestly- irradiated, Giant Exoplanet HAT-P-20b Using Pixel-level Decorrelation. Astro- phys. J. 805 (2), 132 (2015). https://doi.org/10.1088/0004-637X/805/2/132, arXiv:1411.7404 [astro-ph.EP]
2015 arXiv
-
[41]
Gillon, M. et al. Search for a habitable terrestrial planet transiting the nearby red dwarf GJ 1214. Astron. Astrophys. 563, A21 (2014). https://doi.org/10.1051/ 0004-6361/201322362, arXiv:1307.6722 [astro-ph.EP]
2014 arXiv
-
[42]
Hastings, W. K. Monte carlo sampling methods using markov chains and their applications. Biometrika 57 (1), 97–109 (1970). URL http://www.jstor.org/ stable/2334940
1970
-
[43]
Estimating the Dimension of a Model
Schwarz, G. Estimating the Dimension of a Model. Annals of Statistics 6 (2), 461–464 (1978)
1978
-
[44]
Howard, W. S. et al. Characterizing the Near-infrared Spectra of Flares from TRAPPIST-1 during JWST Transit Spectroscopy Observations. Astrophys. J. 959 (1), 64 (2023). https://doi.org/10.3847/1538-4357/acfe75, arXiv:2310.03792 [astro-ph.EP]. 61
2023 arXiv
-
[45]
VizieR Online Data Catalog: Gaia EDR3 (Gaia Collabora- tion, 2020)
Gaia Collaboration. VizieR Online Data Catalog: Gaia EDR3 (Gaia Collabora- tion, 2020). VizieR Online Data Catalog I/350 (2020). https://doi.org/10.26093/ cds/vizier.1350
2020
-
[46]
Bourque, M. et al. ExoCTK: Exoplanet Characterization Tool Kit. Astrophysics Source Code Library, record ascl:2207.012 (2022). 2207.012
2022
-
[47]
Kipping, D. M. Efficient, uninformative sampling of limb darkening coefficients for two-parameter laws. Mon. Not. R. Astron. Soc. 435 (3), 2152–2160 (2013). https://doi.org/10.1093/mnras/stt1435, arXiv:1308.0009 [astro-ph.SR]
2013 arXiv
-
[48]
& Agol, E
Luger, R., Lustig-Yaeger, J. & Agol, E. Planet-Planet Occultations in TRAPPIST-1 and Other Exoplanet Systems. Astrophys. J. 851 (2), 94 (2017). https://doi.org/10.3847/1538-4357/aa9c43, arXiv:1711.05739 [astro-ph.EP]
2017 arXiv
-
[49]
Dyrek, A. et al. Transiting exoplanets with the Mid-InfraRed Instrument on board JWST: From simulations to observations. Astron. Astrophys. 683, A212 (2024). https://doi.org/10.1051/0004-6361/202347127, arXiv:2403.00676 [astro-ph.EP]
2024 arXiv
-
[50]
Charbonneau, D. et al. The Broadband Infrared Emission Spectrum of the Exo- planet HD 189733b. Astrophys. J. 686 (2), 1341–1348 (2008). https://doi.org/ 10.1086/591635, arXiv:0802.0845 [astro-ph]
2008 arXiv
-
[51]
CRDS: Calibration Reference Data System for HST and JWST (2022)
CRDS developers. CRDS: Calibration Reference Data System for HST and JWST (2022). URL https://github.com/spacetelescope/crds
2022
-
[52]
batman: BAsic Transit Model cAlculatioN in Python
Kreidberg, L. batman: BAsic Transit Model cAlculatioN in Python. Publ. Astron. Soc. Pac. 127 (957), 1161 (2015). https://doi.org/10.1086/683602, arXiv:1507.08285 [astro-ph.EP]
2015 arXiv
-
[53]
Luger, R. et al. starry: Analytic Occultation Light Curves. Astron. J. 157 (2), 64 (2019). https://doi.org/10.3847/1538-3881/aae8e5, arXiv:1810.06559 [astro- ph.IM]
2019 arXiv
-
[54]
Luger, R. et al. rodluger/starry: v1.2.0 (2021)
2021
-
[55]
Salvatier, J., Wiecki, T. V. & Fonnesbeck, C. Probabilistic programming in python using pymc3. PeerJ Computer Science 2, e55 (2016). URL https: //doi.org/10.7717/peerj-cs.55. https://doi.org/10.7717/peerj-cs.55
2016 doi
-
[56]
Cowan, N. B. & Agol, E. Inverting Phase Functions to Map Exoplanets. Astrophys. J. Lett. 678 (2), L129 (2008). https://doi.org/10.1086/588553, arXiv:0803.3622 [astro-ph]
2008 arXiv
-
[57]
& Angus, R
Foreman-Mackey, D., Agol, E., Ambikasaran, S. & Angus, R. Fast and Scal- able Gaussian Process Modeling with Applications to Astronomical Time Series. Astron. J. 154, 220 (2017). https://doi.org/10.3847/1538-3881/aa9332 . 62
2017 doi
-
[58]
Scalable Backpropagation for Gaussian Processes using Celerite
Foreman-Mackey, D. Scalable Backpropagation for Gaussian Processes using Celerite. Research Notes of the American Astronomical Society 2 (1), 31 (2018). https://doi.org/10.3847/2515-5172/aaaf6c
2018 doi
-
[59]
Rasmussen, C. E. & Williams, C. K. I. Gaussian Processes for Machine Learning (2006)
2006
-
[60]
& Weare, J
Goodman, J. & Weare, J. Ensemble samplers with affine invariance. Com- munications in Applied Mathematics and Computational Science 5 (1), 65–80 (2010). URL http://dx.doi.org/10.2140/camcos.2010.5.65. https://doi.org/10. 2140/camcos.2010.5.65
2010 doi
-
[61]
W., Lang, D
Foreman-Mackey, D., Hogg, D. W., Lang, D. & Goodman, J. emcee: The MCMC Hammer. Publ. Astron. Soc. Pac. 125 (925), 306 (2013). https://doi.org/10. 1086/670067, arXiv:1202.3665 [astro-ph.IM]
2013 arXiv
-
[62]
Speagle, J. S. DYNESTY: a dynamic nested sampling package for estimating Bayesian posteriors and evidences. Mon. Not. R. Astron. Soc. 493, 3132–3158 (2020). URL https://ui.adsabs.harvard.edu/abs/2020MNRAS.493.3132S. https: //doi.org/10.1093/mnras/staa278, aDS Bibcode: 2020MNRA...
2020 doi
-
[63]
Bell, T. J. et al. Mass loss from the exoplanet W ASP-12b inferred from Spitzer phase curves. Mon. Not. R. Astron. Soc. 489 (2), 1995–2013 (2019). https: //doi.org/10.1093/mnras/stz2018, arXiv:1906.04742 [astro-ph.EP]
1995 arXiv
-
[64]
Guillard, e. a., P. Miri point spread functions: Radial and encir- cled energy profiles (2023). URL https://jwst-docs.stsci.edu/ jwst-mid-infrared-instrument/miri-performance/miri-point-spread-functions# MIRIPointSpreadFunctions-Radialandencircledenergyprofiles
2023
-
[65]
Robinson, T. D. & Crisp, D. Linearized Flux Evolution (LiFE): A technique for rapidly adapting fluxes from full-physics radiative transfer models. Journal of Quantitative Spectroscopy and Radiative Transfer 211, 78–95 (2018). https: //doi.org/10.1016/j.jqsrt.2018.03.002
2018 doi
-
[66]
Meadows, V. S. & Crisp, D. Ground-based near-infrared observations of the Venus nightside: The thermal structure and water abundance near the surface. J. Geophys. Res. 101, 4595–4622 (1996). https://doi.org/10.1029/95JE03567
1996 doi
-
[67]
C., Wiscombe, W
Stamnes, K., Tsay, S. C., Wiscombe, W. & Jayaweerz, K. Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. Appl. Opt. 42 (15), 2502–2509 (1988). https://doi. org/10.1364/AO.27.002502
1988 doi
-
[68]
C., Wiscombe, W
Stamnes, K., Tsay, S. C., Wiscombe, W. & Laszlo, I. DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology. ftp://climate.gsfc.nasa. 63 gov/pub/wiscombe/MultipleScatt/ (2000)
2000
-
[69]
Kokaly, R. et al. Usgs spectral library version 7 data: Us geological survey data release. United States Geological Survey (USGS): Reston, V A, USA 61 (2017)
2017
-
[70]
& Leconte, J
Falco, A., Zingales, T., Pluriel, W. & Leconte, J. Toward a multidimensional analysis of transmission spectroscopy. I. Computation of transmission spectra using a 1D, 2D, or 3D atmosphere structure. Astron. Astrophys. 658, A41 (2022). https://doi.org/10.1051/0004-6361/20214194...
2022 arXiv
-
[71]
R., Line, M
Iyer, A. R., Line, M. R., Muirhead, P. S., Fortney, J. J. & Gharib-Nezhad, E. The SPHINX M-dwarf Spectral Grid. I. Benchmarking New Model Atmospheres to Derive Fundamental M-dwarf Properties. Astrophys. J. 944 (1), 41 (2023). https://doi.org/10.3847/1538-4357/acabc2, arXiv:220...
2023 arXiv
-
[72]
L., Smith, M
Villanueva, G. L., Smith, M. D., Protopapa, S., Faggi, S. & Mandell, A. M. Planetary Spectrum Generator: An accurate online radiative transfer suite for atmospheres, comets, small bodies and exoplanets. J. Quant. Spectrosc. Radiat. Transf. 217, 86–104 (2018). https://doi.org/1...
2018 arXiv
-
[73]
Villanueva, G. L. et al. Fundamentals of the Planetary Spectrum Generator (https://psg.gsfc.nasa.gov/help.php, 2022)
2022
-
[74]
Villanueva, G. L. et al. Modeling atmospheric lines by the exoplanet commu- nity (malbec) version 1.0: A cuisines radiative transfer intercomparison project. Planet. Sci. J. 5 (3), 64 (2024). URL https://dx.doi.org/10.3847/PSJ/ad2681. https://doi.org/10.3847/PSJ/ad2681
2024 doi
-
[75]
Bolmont, E. et al. Water loss from terrestrial planets orbiting ultracool dwarfs: implications for the planets of TRAPPIST-1. Mon. Not. R. Astron. Soc. 464 (3), 3728–3741 (2017). https://doi.org/10.1093/mnras/stw2578, arXiv:1605.00616 [astro-ph.EP]
2017 arXiv
-
[76]
Allen, N. et al. Using stellar contamination proxy TRAPPIST-1 b to search for an atmosphere on TRAPPIST-1 e. JWST Proposal. Cycle 3, ID. #6456 (2024)
2024
-
[77]
V., Kreidberg, L., Rustamkulov, Z., Robinson, T
Morley, C. V., Kreidberg, L., Rustamkulov, Z., Robinson, T. & Fortney, J. J. Observing the Atmospheres of Known Temperate Earth-sized Planets with JWST. Astrophys. J. 850 (2), 121 (2017). https://doi.org/10.3847/1538-4357/ aa927b, arXiv:1708.04239 [astro-ph.EP]
2017 arXiv
-
[78]
Final spin states of planets and satellites
Goldreich, P. Final spin states of planets and satellites. Astron. J. 71, 1 (1966). https://doi.org/10.1086/109844
1966 doi
-
[79]
The Evolution of the Lunar Orbit Revisited
Mignard, F. The Evolution of the Lunar Orbit Revisited. I. Moon and Planets 20 (3), 301–315 (1979). https://doi.org/10.1007/BF00907581 . 64
1979 doi
-
[80]
Makarov, V. V. & Efroimsky, M. No Pseudosynchronous Rotation for Terrestrial Planets and Moons. Astrophys. J. 764 (1), 27 (2013). https://doi.org/10.1088/ 0004-637X/764/1/27, arXiv:1209.1616 [astro-ph.EP]
2013 arXiv
-
[81]
& Sotin, C
Tobie, G., Mocquet, A. & Sotin, C. Tidal dissipation within large icy satellites: Applications to Europa and Titan. Icarus 177 (2), 534–549 (2005). https://doi. org/10.1016/j.icarus.2005.04.006
2005 doi
-
[82]
& Mocquet, A
Tobie, G., Grasset, O., Dumoulin, C. & Mocquet, A. Tidal response of rocky and ice-rich exoplanets. Astron. Astrophys. 630, A70 (2019). https://doi.org/10. 1051/0004-6361/201935297
2019
-
[83]
Andrade, E. N. D. C. On the Viscous Flow in Metals, and Allied Phenomena. Proceedings of the Royal Society of London Series A 84 (567), 1–12 (1910)
1910
-
[84]
A proof that tidal heating in a synchronous rotation is always larger than in an asymptotic nonsynchronous rotation state
Levrard, B. A proof that tidal heating in a synchronous rotation is always larger than in an asymptotic nonsynchronous rotation state. Icarus 193 (2), 641–643 (2008). https://doi.org/10.1016/j.icarus.2007.10.003, arXiv:0710.5651 [astro-ph]
2008 arXiv
-
[85]
& Efroimsky, M
Bou´ e, G. & Efroimsky, M. Tidal evolution of the Keplerian elements. Celestial Mechanics and Dynamical Astronomy 131 (7), 30 (2019). https://doi.org/10. 1007/s10569-019-9908-2, arXiv:1904.02253 [astro-ph.EP]
2019 arXiv
-
[86]
& Unterborn, C
Cottaar, S., Heister, T., Rose, I. & Unterborn, C. BurnMan: A lower mantle mineral physics toolkit. Geochemistry, Geophysics, Geosystems 15 (4), 1164–1179 (2014). https://doi.org/10.1002/2013GC005122
2014 doi
-
[87]
& Unterborn, C
Myhill, R., Cottaar, S., Heister, T., Rose, I. & Unterborn, C. BurnMan v1.0.1. Zenodo (2021)
2021
-
[88]
& Behounkov´ a, M
Kervazo, M., Tobie, G., Choblet, G., Dumoulin, C. & Behounkov´ a, M. Solid tides in io´s partially molten interior - contribution of bulk dissipation. Astron. Astrophys. 650, A72 (2021). URL https://doi.org/10.1051/0004-6361/202039433. https://doi.org/10.1051/0004-6361/202039433
2021 doi
- [89]
-
[90]
& Bolmont, E
Blanco-Cuaresma, S. & Bolmont, E. Studying Tidal Effects In Planetary Systems With Posidonius. A N-Body Simulator Written In Rust. (2017). 1712.01281
2017 arXiv
-
[91]
Bolmont, E. et al. Impact of tides on the transit-timing fits to the TRAPPIST- 1 system. Astron. Astrophys. 635, A117 (2020). https://doi.org/10.1051/ 0004-6361/202037546, arXiv:2002.02015 [astro-ph.EP]. 65
2020 arXiv
-
[92]
Theory of reflectance and emittance spectroscopy (Cambridge univer- sity press, 2012)
Hapke, B. Theory of reflectance and emittance spectroscopy (Cambridge univer- sity press, 2012)
2012
-
[93]
& Deming, D
Seager, S. & Deming, D. On the method to infer an atmosphere on a tidally locked super earth exoplanet and upper limits to gj 876d. Astrophys. J. 703 (2), 1884 (2009)
2009
-
[94]
Hu, R., Ehlmann, B. L. & Seager, S. Theoretical Spectra of Terrestrial Exoplanet Surfaces. Astrophys. J. 752 (1), 7 (2012). https://doi.org/10.1088/0004-637X/ 752/1/7
2012 doi
- [95]
-
[96]
First, E. C. et al. Potential for observing geological diversity from mid-infrared spectra of rocky exoplanets. Nature Astronomy 9 (3), 370–379 (2025). URL https://www.nature.com/articles/s41550-024-02412-7. https://doi.org/10.1038/ s41550-024-02412-7, publisher: Nature Publis...
2025
-
[97]
Energy spectra of X-ray clusters of galaxies
Avni, Y. Energy spectra of X-ray clusters of galaxies. Astrophys. J. 210, 642–646 (1976). https://doi.org/10.1086/154870
1976 doi
-
[98]
B., Schultz, P
Syal, M. B., Schultz, P. H. & Riner, M. A. Darkening of Mercury’s surface by cometary carbon. Nature Geoscience 8 (5), 352–356 (2015). https://doi.org/10. 1038/ngeo2397
2015
-
[99]
& Kriskovics, L
Vida, K., K˝ ov´ ari, Z., P´ al, A., Ol´ ah, K. & Kriskovics, L. Frequent flaring in the TRAPPIST-1 system—unsuited for life? Astrophys. J. 841 (2), 124 (2017). URL https://doi.org/10.3847%2F1538-4357%2Faa6f05. https://doi.org/10.3847/ 1538-4357/aa6f05
2017
-
[100]
Tovar Mendoza, G., Davenport, J. R. A., Agol, E., Jackman, J. A. G. & Hawley, S. L. Llamaradas Estelares: Modeling the Morphology of White-light Flares. Astron. J. 164 (1), 17 (2022). https://doi.org/10.3847/1538-3881/ac6fe6, arXiv:2205.05706 [astro-ph.SR]
2022 arXiv
-
[101]
G¨ unther, M. N.et al. Stellar Flares from the First TESS Data Release: Exploring a New Sample of M Dwarfs. Astron. J. 159 (2), 60 (2020). https://doi.org/10. 3847/1538-3881/ab5d3a, arXiv:1901.00443 [astro-ph.EP]
2020 arXiv
-
[102]
Howard, W. S. et al. The First Naked-eye Superflare Detected from Proxima Centauri. Astrophys. J. Lett. 860 (2), L30 (2018). https://doi.org/10.3847/ 2041-8213/aacaf3, arXiv:1804.02001 [astro-ph.EP]
2018 arXiv
-
[103]
Maas, A. J. et al. Lower-than-expected flare temperatures for TRAPPIST-
-
[104]
Astrophys
Astron. Astrophys. 668, A111 (2022). https://doi.org/10.1051/0004-6361/ 66 202243869, arXiv:2210.11103 [astro-ph.SR]
2022 arXiv
-
[105]
Paudel, R. R. et al. K2 ultracool dwarfs survey – v. high superflare rates on rapidly rotating late-m dwarfs. Mon. Not. R. Astron. Soc. 486 (1), 1438–1447 (2019). URL https://doi.org/10.1093/mnras/stz886. https://doi.org/10.1093/ mnras/stz886
2019 doi
-
[106]
corner.py: Scatterplot matrices in python
Foreman-Mackey, D. corner.py: Scatterplot matrices in python. The Journal of Open Source Software 1 (2), 24 (2016). URL https://doi.org/10.21105/joss.00024. https://doi.org/10.21105/joss.00024 . 67 Supplementary Figures Supplementary Fig. 1 | Program 3077 raw light curve and e...
2016 doi
Reviewed August 5, 2026 · model on record in the stance chip above.
Discussion (0). Sign in to comment.