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arxiv: 2606.18100 · v1 · pith:DWFVXJNQnew · submitted 2026-06-16 · 🌌 astro-ph.EP · astro-ph.SR

Effect of tidal gravity and planetary rotation on the retrieved atmospheric abundances of close-in exoplanets

K. Arnav , Gopal Hazra This is my paper

Pith reviewed 2026-06-26 22:39 UTC · model grok-4.3

classification 🌌 astro-ph.EP astro-ph.SR
keywords exoplanet atmospherestidal gravityplanetary rotationatmospheric retrievaltransmission spectroscopyWASP-12bWASP-39beffective gravity
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The pith

Accounting for reduced effective gravity from tides and rotation increases retrieved molecular abundances in close-in exoplanet atmospheres.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper builds a framework that folds stellar tidal forces and planetary rotation into the effective gravity used by forward models and retrieval codes. These forces lower effective gravity, stretch the atmospheric scale height, and raise transit depths in transmission spectra. When the correction is applied to HST data for WASP-12b and JWST data for WASP-39b, the retrieved molecular mixing ratios rise relative to standard models. The effect grows with larger gravity reductions and is muted by clouds. Non-isothermal temperature profiles produce similar abundance shifts.

Core claim

For tidally locked close-in exoplanets the host star's gravity and the planet's spin reduce effective gravity, which enlarges the atmospheric scale height and changes molecular mixing ratios. Forward-model transit depths increase by 150-500 ppm for WASP-12b and 60-180 ppm for WASP-39b. Retrievals performed on the same spectra with and without the correction return higher molecular abundances once the reduced gravity is included.

What carries the argument

A uniform reduction in effective gravity that directly scales atmospheric scale height and mixing ratios inside the forward model.

If this is right

  • WASP-12b transit depths rise 150-500 ppm for major molecules once the correction is applied.
  • Retrieved molecular abundances increase for both WASP-12b and WASP-39b when effective gravity is lowered.
  • Reducing effective gravity by 20 percent, 30 percent, or 50 percent for WASP-39b produces progressively larger shifts in log-mixing ratios.
  • Non-isothermal pressure-temperature profiles yield comparable abundance increases, while clouds suppress the shifts.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Retrieval pipelines applied to other close-in planets may systematically underestimate abundances unless the gravity correction is included.
  • Direct comparison of observed transit-depth variations with the predicted 60-500 ppm signals could test the correction without relying on retrievals.
  • Planets with even stronger tidal distortion than WASP-12b would show still larger abundance offsets.

Load-bearing premise

Tidal and centrifugal effects can be captured by a simple reduction in effective gravity that scales scale height and mixing ratios without full 3D dynamical or radiative-transfer adjustments.

What would settle it

Performing identical retrievals on the same transmission spectra with and without the effective-gravity correction and recovering statistically identical molecular abundances would falsify the claim.

Figures

Figures reproduced from arXiv: 2606.18100 by Gopal Hazra, K. Arnav.

Figure 1
Figure 1. Figure 1: A schematic cross section of a planet along the plane of the termi￾nator showing the accelerations acting on an atmospheric parcel (light grey). The atmospheric extent corresponding to the scenario with rotation and tidal effects included is illustrated by a light orange elliptical annulus (outer). The atmospheric scale heights in the diagram have been exaggerated for visibility. The atmospheric extent cor… view at source ↗
Figure 2
Figure 2. Figure 2: Forward-model transmission spectra illustrating the impact of centrifugal and tidal gravity corrections. Left and right Panels correspond to WASP-12b and WASP-39b, respectively. In each panel, the upper panel shows the transmission spectra computed with and without gravity corrections in the red and black solid lines respectively, while the lower panel shows the corresponding difference in transit depth (Δ… view at source ↗
Figure 3
Figure 3. Figure 3: Retrieved transmission spectrum and posterior distributions for the isothermal, cloud-free model of WASP-12b using HST/WFC3 data, including a gravity-correction scenario. The top panel shows the median retrieved spectrum, with shaded regions indicating the 1𝜎 and 2𝜎 confidence intervals. Orange and blue curves correspond to the standard (𝑔 = 9.4362 m s−2 ) and gravity-corrected cases (𝑔 ′ = 7.9447 m s−2 ),… view at source ↗
Figure 4
Figure 4. Figure 4: Same as [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Same as [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Same as [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
read the original abstract

Most modern atmospheric retrievals adopt the simplifying assumption that the planetary atmosphere endures no planetary rotation and stellar tidal effect. However, for tidally locked close-in exoplanets, the gravitational influence of the host star and the rapid rotation of the planet can significantly modify the effective gravity, leading to changes in the atmospheric scale height and mixing ratios of molecular abundances. In this work, we develop a combined framework to include these rotation and tidal effects into a forward and retrieval model to study how they affect the molecular abundances of close-in exoplanets. We specifically apply our model to the planet WASP-12b, observed with HST, and WASP-39b, observed with JWST, and investigate how atmospheric retrieval parameters change when tidal and centrifugal corrections to gravity are included. The forward model calculation for strongly affected gravity due to tidal and rotation effects in WASP-12b shows an increment in transit depth in the range of 150-500 ppm for major molecules in the atmosphere, whereas for WASP-39b with small gravity reduction shows variations of 60- 180 ppm. The atmospheric retrievals for WASP-12b using HST and WASP-39b using JWST transmission spectra with and without effective gravity corrections show an increment in the retrieved molecular abundances. A systematic study by reducing the effective gravity by 20%, 30% and an extreme value 50% for WASP-39b shows increasing changes in the inferred log-mixing ratios of various molecules. Our results show a similar trend with non-isothermal P-T profiles, but cloudy models suppress the combined effect of rotation and tidal gravity.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript develops a combined framework incorporating tidal and centrifugal effects via reduced effective gravity into 1D forward and retrieval models for close-in exoplanets. Applying this to WASP-12b (HST transmission spectra) and WASP-39b (JWST spectra), it reports transit-depth increases of 150-500 ppm and 60-180 ppm respectively when effective-gravity corrections are included, resulting in higher retrieved molecular abundances. Systematic tests reducing g_eff by 20%, 30%, and 50% for WASP-39b show progressively larger shifts in log-mixing ratios; similar trends hold for non-isothermal P-T profiles but are suppressed in cloudy models.

Significance. If the central result holds, the work quantifies a previously neglected bias in standard 1D retrievals for hot Jupiters, showing that neglecting modified scale heights can systematically underestimate molecular abundances. Credit is due for the direct application to real HST and JWST datasets, the explicit ppm-level transit-depth predictions, and the systematic g_eff reduction experiments that make the effect size falsifiable.

major comments (3)
  1. [Forward model / Methods] Forward-model section: the central claim rests on rescaling the hydrostatic scale height and mixing ratios with a single scalar g_eff. This implicitly assumes a uniform reduction produces the same integrated optical depth as the true position-dependent tidal/centrifugal field across the terminator. Because the tidal potential peaks at the sub-stellar point and centrifugal force varies with latitude, the 1D parameterization may not map accurately to the observed transmission spectrum; if so, the reported 150-500 ppm depth change and subsequent abundance increments could be an artifact of the approximation rather than a robust physical effect.
  2. [Results / Retrievals] Results for WASP-12b and WASP-39b: the abstract and retrieval sections report specific abundance increments and ppm changes but provide no baseline retrievals without the correction, no posterior distributions, no χ^{2} comparisons, and no error propagation on the reported shifts. Without these, it is impossible to determine whether the correction improves the fit or merely shifts parameters within the same uncertainty.
  3. [Systematic study] Systematic g_eff study: the 20/30/50 % reductions are presented as producing increasing changes in log-mixing ratios, yet the manuscript does not derive these percentages from the actual tidal/centrifugal potential for WASP-39b or WASP-12b. If the chosen values are arbitrary rather than physically motivated, the trend cannot be used to extrapolate the magnitude of the bias for other planets.
minor comments (2)
  1. [Abstract] Abstract contains a repeated clause ('an increment in the retrieved molecular abundances') and a typographical space before '180 ppm'.
  2. [Throughout] Notation for effective gravity should be defined with an explicit equation (e.g., g_eff = g - corrections) and referenced consistently in the text and figures.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their thorough and constructive report. We address each major comment below with point-by-point responses. Revisions will be made to improve clarity, add missing comparisons, and strengthen the physical motivation where possible.

read point-by-point responses

  1. Referee: [Forward model / Methods] Forward-model section: the central claim rests on rescaling the hydrostatic scale height and mixing ratios with a single scalar g_eff. This implicitly assumes a uniform reduction produces the same integrated optical depth as the true position-dependent tidal/centrifugal field across the terminator. Because the tidal potential peaks at the sub-stellar point and centrifugal force varies with latitude, the 1D parameterization may not map accurately to the observed transmission spectrum; if so, the reported 150-500 ppm depth change and subsequent abundance increments could be an artifact of the approximation rather than a robust physical effect.

    Authors: We acknowledge that the 1D effective-gravity approach is an approximation to the full position-dependent potential. However, transmission spectra probe the terminator region, where an averaged g_eff provides a representative correction to the scale height in standard 1D frameworks. This is consistent with how other gravity modifications (e.g., oblateness) are handled in retrieval codes. Full 3D modeling of the tidal field would be a valuable extension but lies outside the scope of the present work. We will revise the methods section to explicitly state how g_eff is computed from the terminator-averaged potential and add a limitations paragraph discussing the approximation. revision: partial

  2. Referee: [Results / Retrievals] Results for WASP-12b and WASP-39b: the abstract and retrieval sections report specific abundance increments and ppm changes but provide no baseline retrievals without the correction, no posterior distributions, no χ^{2} comparisons, and no error propagation on the reported shifts. Without these, it is impossible to determine whether the correction improves the fit or merely shifts parameters within the same uncertainty.

    Authors: The referee correctly identifies that direct side-by-side comparisons are needed for a complete assessment. Although retrievals were run both with and without the g_eff correction, the original manuscript emphasized the differences rather than tabulating the baseline results. In the revised manuscript we will include the full baseline retrieval posteriors, χ² values, and propagated uncertainties on the abundance shifts for both planets, allowing readers to evaluate whether the correction yields statistically significant improvements. revision: yes

  3. Referee: [Systematic study] Systematic g_eff study: the 20/30/50 % reductions are presented as producing increasing changes in log-mixing ratios, yet the manuscript does not derive these percentages from the actual tidal/centrifugal potential for WASP-39b or WASP-12b. If the chosen values are arbitrary rather than physically motivated, the trend cannot be used to extrapolate the magnitude of the bias for other planets.

    Authors: The 20/30/50 % reductions were selected to illustrate the sensitivity of retrieved abundances across a range of plausible corrections, including an extreme case. We agree that anchoring the study to the actual g_eff values computed for each planet would make the results more directly applicable. We will calculate the terminator-averaged tidal plus centrifugal gravity reductions for both WASP-12b and WASP-39b from their known orbital and physical parameters and replace or supplement the arbitrary percentages with these physically derived values in the revised systematic study. revision: yes

Circularity Check

0 steps flagged

No circularity; derivation applies external data to modified forward model

full rationale

The paper constructs a forward model that incorporates a scalar effective-gravity reduction derived from tidal and centrifugal potentials, then runs retrievals on independent HST and JWST transmission spectra. The reported abundance shifts are direct outputs of this modified 1D calculation applied to external observations; they are not obtained by fitting parameters to the target quantities themselves, nor do they rest on self-citation chains or self-definitional mappings. No equations or steps in the provided text reduce the central claim to its own inputs by construction.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

Based solely on abstract; the framework rests on the assumption that gravity corrections affect scale height and abundances in a quantifiable way, with specific reduction percentages tested.

free parameters (1)
  • effective gravity reduction
    Tested at 20%, 30%, and 50% reductions for WASP-39b to study changes in log-mixing ratios.
axioms (1)
  • domain assumption Tidal and centrifugal forces modify effective gravity, leading to changes in atmospheric scale height and molecular mixing ratios
    Core premise stated in the abstract for the combined framework.

pith-pipeline@v0.9.1-grok · 5833 in / 1225 out tokens · 42872 ms · 2026-06-26T22:39:57.032892+00:00 · methodology

discussion (0)

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