Concise verdict: robust, well-documented TTV N-body masses for four very low-density young planets (M_c=4.7±0.6 M⊕, M_d=6.0±0.7 M⊕, M_b=13.1±5.3 M⊕, M_e=15.3±4.2 M⊕) that strongly support early boil-off/photoevaporation shaping of the Kepler-like radius distribution — results are reproducible (data & code links provided) but depend on TTV sampling and model assumptions (notably entropy/boil-off priors and stellar-activity handling). Primary paper (Livingston et al. 2026)
Key evidence: multi-year TTV campaign, N-body fits implemented in JAX/jnkepler, transit datasets K2+TESS+Spitzer+LCO, stability verified with SPOCK and direct integrations; planetary radii place the planets well above the Kepler radius valley and interiors/evolution model grid (MESA) favour boil-off for inner planets
Data points and quoted masses/radii are taken directly from the paper's Table 1 and Supplementary Tables (TTV N-body posteriors): M_c=4.7±0.6, R_c=5.08±0.37; M_d=6.0±0.7, R_d=6.53±0.42; M_b=13.1±5.3, R_b=9.41±0.57; M_e=15.3±4.2, R_e=10.17±0.75
Paper reports observed TTV amplitudes of ~50–100 min with anticorrelated c–d and b–e pairs; these large amplitudes enable strong dynamical constraints even with sparse sampling across 2015–2024
Strengths (well-cited):
Limitations & blindspots (must weigh carefully):
What would overturn the conclusions? Strong evidence would include: (1) future high-precision RVs that robustly measure planetary masses inconsistent with TTV masses beyond stated uncertainties; (2) additional transits whose timings are inconsistent with the N-body posterior (predictive failure); (3) JWST atmospheric constraints on more planets in the system that diverge systematically from dynamical masses; (4) detection of resonant libration angles indicating resonant dynamics (contradicting the non-resonant solution).
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