Rocky super-Earth · flat transmission spectrum · JWST + TESS

TOI-836 b

A 1.7-Earth-radius planet whose precise JWST spectrum shows no resolved molecular features, yet excludes a clear low-metallicity hydrogen-dominated atmosphere.

REAL TESS DATATIMING-AWARE FITPUBLIC SPECTRUMTESTED PIPELINE

AI-generated artist’s interpretation · not a direct image

What the corrected fit shows

Transit supportSUPPORTED (ΔBIC ≥ 10)
Fitted midpoint shift-0.035 h
Model depth605.9 ± 57.8 ppm
ΔBIC (null − transit)189.2

The timing-adjusted transit is strongly preferred by ΔBIC = 189.2. Its fitted midpoint is -0.035 hours from the historical prediction; the model's mid-transit depth is 605.9 ± 57.8 ppm. The support decision uses ΔBIC ≥ 10; timing-search p-values are not presented as blind-detection probabilities.

Timing-adjusted limb-darkened transit fit for TOI-836 b
The dotted vertical line is the historical archive prediction; the dashed colored line marks the fitted midpoint (-0.035 h). The smooth curve fits timing, radius ratio, impact parameter, and a local linear baseline.

Explicit model comparison

Linear nullχ² 2615.94 / 1294 dof

BIC = 2630.27

Limb-darkened transitχ² 2405.21 / 1291 dof

BIC = 2441.04

The null fits a local intercept and slope. The transit adds bounded midpoint, radius-ratio, and impact-parameter freedom while retaining the same baseline terms. Fixed limb darkening and circular geometry make this a diagnostic fit rather than a full system retrieval.

Multi-sector robustness and noise

Supported combined depth604.1 +/- 155.4 ppm
Supported / fitted sectors2 / 2
Residual beta range3.21-4.53

The archive prediction was timing-adjusted independently in 2 fitted sector(s) (S11, S38), of which 2 meet Delta BIC >= 10. Formal depth errors were inflated by sqrt(max(reduced chi-square, 1)) times the residual time-averaging beta factor (observed range 3.21-4.53). The robust inverse-variance model depth across supported sectors is 604.1 +/- 155.4 ppm; Cochran Q = 0.00 for 1 dof (p = 0.9857). These scaled errors address underestimated scatter and short-timescale correlation, but they are not a full Gaussian-process or physical limb-darkened transit fit.

Independent sector transit fits for TOI-836 b
Independent sector transit fits. Reproduced from the committed public TESS SPOC files.
Sector depth consistency for TOI-836 b
Sector depth consistency. Reproduced from the committed public TESS SPOC files.
Residual RMS time-averaging diagnostic for TOI-836 b
Residual RMS time-averaging diagnostic. Reproduced from the committed public TESS SPOC files.

Published planetary spectrum

Across 106 bins, a weighted-flat spectrum gives chi-square/dof = 128.4/105 (p = 0.0599). At a 5% threshold this simple test does not reject flatness. Four published metallicity-grid spectra are also compared with one fitted vertical offset; these goodness-of-fit checks do not constitute a metallicity retrieval.

Published transmission spectrum of TOI-836 b
JWST NIRSpec/G395H transmission data from 10.5281/zenodo.10658637. Exact files and checksums are in data/SOURCE.md; numerical tests are in spectrum_statistics.csv.

Atmospheric evidence: detection, limit, or unknown?

This is a high-value null result. The public spectrum is statistically consistent with a flat line, so it does not identify H2O, CO2, CO, CH4, or O2. Under the paper's 0.1-bar opaque-pressure assumption, it excludes clear atmospheres below 250 times solar metallicity and mean molecular weight below about 6 g/mol.

Source-graded atmospheric evidence
Literature evidence is kept separate from calculations reproduced in this repository.
SpeciesStatusEvidenceBasis
H2-rich atmospheremodel space excluded<250x solar excludedfor a 0.1-bar opaque pressure level
H2O / CO2 / CO / CH4not detectedflat 2.8-5.2 micron spectrumno resolved molecular feature
O2no evidencenot constrainedflat spectrum is not an oxygen detection

Primary source: Alderson et al. 2024, JWST COMPASS. Oxygen-bearing molecules are not detections of molecular oxygen (O2) and are not, by themselves, biosignatures.

The system

Radius1.70 Earth radii
Mass4.53 Earth masses
Orbital period3.816730 days
Transit duration1.805 hours
Semi-major axis0.0422 AU
Equilibrium temperature871 K
Host and distanceTOI-836 · 27.50 pc
Discovery2023 · Transit · Transiting Exoplanet Survey Satellite (TESS)

Values are from the exact saved NASA Exoplanet Archive pscomppars row in data/system_parameters.csv.

Data and reproducibility

The observed photometry is the public MAST file tess2019112060037-s0011-0000000440887364-0143-s_lc.fits, TESS Sector 11, collection DOI 10.17909/t9-nmc8-f686. It is stored unmodified. Exact archive URI, URL, retrieval date, and checksum are in data/SOURCE.md.

Run python scripts/analyze_transit.py and python scripts/analyze_multisector.py and python scripts/analyze_atmospheric_evidence.py plus python scripts/analyze_spectrum.py to regenerate the figures and CSVs, then pytest tests/ -v to check the documented values against the real file.

Limitations

  • The orbit is circular and the quadratic limb-darkening coefficients are fixed representative values.
  • The scaled semi-major axis comes from saved composite values whose uncertainties are not propagated.
  • The midpoint is searched within a bounded window; ΔBIC is used as the support gate.
  • PDCSAP processing, dilution, stellar variability, timing variations, and covariance can bias the geometry.
  • Published global fits with physical priors, instrument-specific detrending, and simultaneous sectors remain authoritative.

References

  1. Hawthorn et al. 2023 — discovery reference listed by the NASA Exoplanet Archive.
  2. Ricker et al. (2015), Transiting Exoplanet Survey Satellite (TESS), doi:10.1117/1.JATIS.1.1.014003.
  3. TESS Team, TESS Light Curves — All Sectors, MAST, doi:10.17909/t9-nmc8-f686; Sector 11 used here.
  4. NASA Exoplanet Archive, saved TAP row retrieved 2026-08-15.