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TTV-not-so-fast: Uniqueness and Degeneracy in Perturbing Planet Parameters

  • Authors: Caleb Lammers, Joshua N. Winn

Caleb Lammers and Joshua N. Winn 2026 The Astronomical Journal 171 .

  • Provider: AAS Journals

Caption: Figure 1.

KOI-142. Top panel: χ2 vs. period ratio (Ndof  =  231). The minimum near the 2:1 MMR is substantially deeper than any competing solution. Second panel: measured TTVs from this work (Section 3.1). The gray curve shows a Gaussian process (GP) regression used solely as a smooth interpolant to separate long- and short-timescale variations. Third panel: high-pass-filtered TTVs obtained by subtracting the GP. The red curve shows the best variant of the 2:1 solution (D. Nesvorný et al. 2013); the blue curve shows the 3:1 solution, which is second-best. The short-timescale “chopping” signal strongly favors the 2:1 model. Fourth panel: residuals of the 2:1 solution (rms  =  2.2 minutes) and the 3:1 solution (rms  =  9.2 minutes). The 3:1 model fails to reproduce the short-timescale structure. Fifth panel: TDVs and model predictions. The 2:1 model also provides a superior fit to the TDVs. KOI-142’s TTV solution appears unambiguously unique.

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