REVIEW 4 major objections 5 minor 1 cited by
Planet Masses, Radii, and Orbits from NASA's K2 Mission
T0 review · 4 major / 5 minor · reviewed 2026-08-08 · deepseek-v4-flash
Pith's one-line read A uniform Doppler survey of K2 planets reports masses, radii, and orbits for 86 planets around 55 stars, with 32 masses secure at better than 5-sigma.
desk verdict A genuine K2 mass catalog with four new >=3-sigma masses and a useful RV data release; the main table's negative masses and jitter for sub-threshold planets need cleaning before the catalog is used for statistics. 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 central machinery is a single modeling chain repeated identically for all 55 systems. Transit radii and ephemerides come from MCMC fits to the K2 photometry using the TERRA, k2phot, and EVEREST pipelines with a batman transit model. Masses come from Keplerian fits with the RadVel package (Eq. 1), where each planet contributes a semi-amplitude $K$, eccentricity, and argument of periastron, and where the semi-amplitude is allowed to go negative so that low-significance planets are not biased toward larger masses (following Lucy & Sweeney 1971). For active stars ($\log R'_{\rm HK} > -4.9$ and more than 30 radial velocities), stellar activity is absorbed by a quasi-periodic Gaussian process (Eq. 2) whose hyperparameters are trained on EVEREST photometry before being carried into the radial-velocity fit. Model complexity (trends, eccentricity, activity) is settled by AICc comparison, and stellar parameters come from SME for stars above 4700 K and SpecMatch-Emp for cooler stars, with masses and radii from isoclassify.
What would settle it
Re-fit the released radial velocities with an independent activity treatment — for example a Gaussian process whose targets are the activity indicators (S-index and H-$\alpha$) rather than photometry, or a joint fit of both — and compare the 32 claimed $\geq 5\sigma$ masses against the original values; any planet whose mass shifts by more than its quoted uncertainty identifies a system where the activity model is absorbing or injecting planetary signal. A cheaper cross-check using data the paper itself cites is to compare its low-significance masses with the later independent measurements it lists for K2-222, K2-236, K2-98, and K2-418; systematic disagreement in those overlaps would show the uniform chain under-reports the influence of stellar activity and sparse phase coverage.
Extended reading notes
Core claim
On its own terms, the paper's claim is that a uniform analysis chain now yields the masses, sizes, and orbits of 86 planets orbiting 55 stars observed by K2: 81 transiting planets found in the K2 photometry plus 5 additional non-transiting planets revealed by the Doppler data (HD 3167 d, HIP 41378 g, K2-73 c, WASP-47 c, WASP-107 c). Every system went through the same pipeline: the K2 light curves were searched and fit with a standard transit model for radii and ephemerides; the radial velocities from HIRES, APF, and the literature were modeled with Keplerian orbits (Eq. 1) plus per-instrument offsets, jitter, optional trends, and, for active stars, a quasi-periodic Gaussian process trained on photometry (Eq. 2); and the host-star parameters came from the same spectral modeling tools. The results include 32 planet masses measured at $\geq 5\sigma$ and 51 at $>3\sigma$, 66 planets smaller than $4\,R_\oplus$, first secure mass measurements for four systems (K2-10, K2-55, K2-105, K2-121), and mass upper limits for 12 candidates that rule out eclipsing-binary false positives. The authors position the catalog as a statistical resource and a data release, with search completeness and occurrence-rate analyses deferred to later papers.
Load-bearing premise
The analysis assumes that after subtracting each instrument's offsets and noise, and after removing stellar surface activity with a quasi-periodic Gaussian process trained on the star's brightness variations, whatever wobble remains in the radial velocities is caused by planets; for the roughly half of the catalog detected below $3\sigma$, a breach of that assumption would turn a reported mass into an upper limit or an artifact.
Editorial extensions
If this is right
- The catalog gives a uniform basis for mapping planet densities across the super-Earth / sub-Neptune radius valley and for calibrating empirical mass-radius relations, with 66 planets smaller than $4\,R_\oplus$.
- The released radial velocities and activity indicators let other groups re-check the fits, extend baselines to search for wide-orbit companions, and feed the data into dynamical and atmospheric studies.
- The five non-transiting planets show that Doppler monitoring of transit hosts recovers planets the photometry misses, enlarging the known architectures of systems such as WASP-47, WASP-107, and HD 3167.
- First-time mass measurements for K2-10 b, K2-55 b, K2-105 b, and K2-121 b, plus mass upper limits for twelve candidates, convert previously ambiguous candidates into planets with density constraints or rule out eclipsing-binary false positives.
Reading between the lines
- If the catalog is as methodologically uniform as claimed, it becomes a natural control sample for TESS-era mass measurements: any systematic offset between these K2 densities and per-system TESS analyses would point to method-dependent rather than astrophysical scatter.
- Because roughly half the catalog's semi-amplitudes are consistent with zero, those entries are censored data; a hierarchical analysis that treats the sub-$3\sigma$ masses as upper limits could measure the intrinsic density spread of sub-Neptunes without the selection bias of keeping only secure detections.
- A solar end-to-end test — running the same photometry-trained Gaussian process and Keplerian chain on Sun-as-a-star Doppler data, where the true signals are known — would probe how much of the mass posteriors are shaped by the activity model rather than the data.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper presents a catalog of 86 planets orbiting 55 K2 target stars, combining K2 transit photometry with radial-velocity observations from Keck/HIRES, the APF, and literature data. The authors describe their transit-search pipeline, stellar characterization methods, and RadVel-based Keplerian/Gaussian-process modeling, and they release previously unpublished RVs and stellar activity indicators. The headline products are the planet masses, radii, and orbital parameters in Table 3, with 32 planets claimed at >5-sigma and 51 at >3-sigma mass significance.
Significance. If the catalog is used carefully, it is a valuable community resource: it provides a uniformly processed transit sample, new RV data for many K2 systems, and mass measurements for several planets that previously lacked them. The authors use standard, open-source tools (RadVel, emcee, batman, isoclassify), and many of their mass estimates agree with independent literature solutions. The main weakness is that the published tables and significance counts do not cleanly separate secure mass measurements from non-detections and upper limits. Negative masses and negative jitter entries appear in the machine-readable tables, which makes the catalog unsuitable for direct population-level use without additional processing. The paper's central claim of a uniformly processed catalog is also weakened by the explicit adoption of several literature solutions rather than a single re-fit of every system.
major comments (4)
- [Sec. 4.2.3 and Table 3] Allowing the RV semi-amplitude K to be negative, as stated in Sec. 4.2.3, produces unphysical planet masses and densities in the published catalog. For example, Table 3 reports K2-62 b mass = -1.0+4.3/-4.2 M_Earth and density = -0.7 ± 3.1 g/cm3, K2-37 b mass = -0.9+5.1/-5.2 M_Earth, and K2-220 b density = -0.0 ± 1.6 g/cm3. For a non-detection, the posterior median of a signed, unconstrained parameter is not a mass measurement and is not a well-defined upper limit. Because the abstract and Fig. 6 count planets by the significance of this signed quantity, the 51/32 detection statistics conflate non-detections with low-mass measurements. The machine-readable table should report physically meaningful quantities: positive-only semi-amplitudes, explicit upper limits, or a separate column flagging non-detections, with no negative masses or densities.
- [Table 19 (K2-73)] Table 19 reports sigma_HIRES = -4.99+0.56/-0.65 m/s for the K2-73 fit. A negative jitter term is unphysical and indicates either a parameterization issue (e.g., fitting a signed quantity instead of log jitter) or a reporting error. Negative jitter appears in other tables as well (e.g., Table 7 sigma_PARAS = -0.0+3.3/-3.5 m/s). This undermines the uncertainty model and must be corrected before the catalog is usable.
- [Sec. 5.3 vs. Table 3] The text in Sec. 5.3 states that 12 systems have only mass upper limits (<2-sigma), yet Table 3 lists these as point estimates with quoted central values and uncertainties, without a clear flag in the machine-readable table. The abstract's count of masses and the mass-significance histogram in Fig. 6 are therefore not reproducible from the table alone in a way that distinguishes detections from upper limits. The authors should either move upper-limit systems to a separate table or add explicit upper-limit columns and adjust the headline counts to reflect how many planets have genuine mass measurements.
- [Secs. A.1, A.5, A.9, A.18, A.21, A.32, A.37] The paper claims uniform analysis procedures as a key characteristic, but for several systems it simply adopts literature solutions rather than re-fitting the RVs with the same pipeline: HD 3167 (A.1), K2-291 (A.5), GJ 9827 (A.9), K2-24 (A.18), WASP-107 (A.21), K2-3 (A.32), and K2-108 (A.37) are among them. This is not inherently wrong, but it conflicts with the 'uniform analysis' framing and means that part of Table 3 is not homogeneous with the rest. The paper should clearly mark which entries come from the uniform pipeline and which are adopted, and soften the uniformity claim accordingly.
minor comments (5)
- [Fig. 42 / Table 19] The annotation in Fig. 42 lists M_c sin i = 1142 ± 49 M_Jup, while Table 19 and the text give 1142 ± 49 M_Earth; one of these is a typo and should be corrected.
- [Fig. 11 caption] The caption says the RVs come from 'HIRES and HARPS', but the text and data labels indicate HIRES and APF; the caption should be corrected.
- [Sec. A.7] There is a duplicated word in 'on the sub-Neptune side of the radius valleyradius valley' that should be fixed.
- [Sec. A.39] The sentence 'this weakly favors ... a low density and gas-dominated composition for K2-189 b' appears to refer to planet c, not b, based on context; please clarify.
- [Sec. 5.3] The abstract and conclusions state masses and radii for 86 planets, but five non-transiting planets (e.g., HD 3167 d, HIP 41378 g) do not have radii measured here; the wording should specify that radii are for the transiting subset.
Circularity Check
No significant circularity: planet masses are empirical Keplerian fits to independent radial-velocity data, not outputs defined by their own inputs.
full rationale
The central claim—masses, radii, and orbits of K2 planets—is derived by direct maximum-likelihood and MCMC fitting of a Keplerian RV model (Eq. 1) to HIRES, APF, and literature radial velocities, with stellar parameters from independent spectral modeling (SME, SpecMatch, isoclassify). No reported planet mass is defined in terms of another reported mass or fitted to a target value; masses follow from the fitted semiamplitude K via the standard two-body relation. The paper's use of its own software (RadVel, TERRA, k2phot) and previous team solutions for a few systems (e.g., HD 3167 from Christiansen et al. 2017, K2-291 from Kosiarek et al. 2019a) is not load-bearing circularity because those prior analyses rest on independent RV data sets and do not presuppose the current catalog's outputs. The abstract's 'uniform analysis' claim is somewhat softened by adopting literature solutions for selected systems, but this is a consistency limitation, not a circular derivation. The allowance of negative K and the resulting nonphysical low-significance mass entries (e.g., K2-62 b and the negative jitter in Table 19) are statistical modeling choices intended to avoid Lucy-Sweeney bias; they affect interpretation of marginal detections but do not make the reported values equal to fitted inputs by construction. No uniqueness theorem, ansatz-smuggling citation, or renamed empirical pattern carries the derivation. The catalog is self-contained against external benchmarks such as Bonomo et al. 2023b and other literature mass measurements, which the paper cites for comparison. Therefore the circularity burden is negligible.
Assumptions & free parameters
free parameters (5)
- RV semi-amplitude K per planet =
varies, e.g., 0 to 347 m/s
- Per-instrument velocity zero point (gamma) =
varies per instrument
- Per-instrument jitter (sigma) =
values range roughly 0 to 50 m/s; some quoted negative
- GP hyperparameters eta1, eta2, eta3, eta4 =
e.g., eta3 rotation period 4 to 32 days
- Linear and quadratic trend coefficients (gamma-dot, gamma-ddot) =
varies, e.g., -1.93 m/s/day for K2-99
assumptions (5)
- standard math Keplerian orbital model with Kepler's equation solved numerically (Eq. 1)
- domain assumption Quasi-periodic Gaussian process kernel models stellar activity (Eq. 2)
- domain assumption Iodine cell forward model yields accurate relative RVs
- domain assumption Stellar parameters from SME, SpecMatch, and isoclassify are accurate
- domain assumption Adopted literature solutions are reliable
Cite this review
Pith. "Pith review of Planet Masses, Radii, and Orbits from NASA's K2 Mission." pith.science (2026). https://pith.science/paper/QWN4QGGX
@misc{pith2026250204436,
author = {Pith},
title = {Pith review of: Planet Masses, Radii, and Orbits from NASA's K2 Mission},
year = {2026},
howpublished = {\url{https://pith.science/paper/QWN4QGGX}},
note = {Machine review of arXiv:2502.04436}
}
read the original abstract
We report the masses, sizes, and orbital properties of 86 planets orbiting 55 stars observed by NASA's K2 Mission with follow-up Doppler measurements by the HIRES spectrometer at the W. M. Keck Observatory and the Automated Planet Finder at Lick Observatory. Eighty-one of the planets were discovered from their transits in the K2 photometry, while five were found based on subsequent Doppler measurements of transiting planet host stars. The sizes of the transiting planets range from Earth-size to larger than Jupiter (1-3 REarth is typical), while the orbital periods range from less than a day to a few months. For 32 of the planets, the Doppler signal was detected with significance greater than 5-sigma (51 were detected with >3-sigma significance). An important characteristic of this catalog is the use of uniform analysis procedures to determine stellar and planetary properties. This includes the transit search and fitting procedures applied to the K2 photometry, the Doppler fitting techniques applied to the radial velocities, and the spectral modeling to determine bulk stellar parameters. Such a uniform treatment will make the catalog useful for statistical studies of the masses, densities, and system architectures of exoplanetary systems. This work also serves as a data release for all previously unpublished RVs and associated stellar activity indicators obtained by our team for these systems, along with derived stellar and planet parameters.
Figures
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Reference graph
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Reviewed August 8, 2026 · model on record in the stance chip above.
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