Summary of Results 1 for all Primary and Validative Statistical Tests

Summary of Results 1 for all Primary and Validative Statistical Tests

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Terrestrial worlds with $P < 1$ day, known as ultra-short period planets (USPs), comprise a physically distinct population whose origins may be attributed to various possible formation channels within multi-planet systems. However, the conventional 1 day boundary adopted for USPs is an arbitrary prescription, and it has yet to be evaluated whether...

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Context 1
... thus apply our binning analysis procedure from Section 4 to the 28 USP systems and 231 non-USP systems where the innermost planet is confirmed, obtaining values of P R = 0.93 +0.34 −0.29 days and P P = 2.11 +0.24 −0.34 that lie in accord with our primary results (Table 1). ...
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... days and P P = 2.14 +0.15 −0.28 (Table 1). ...
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... this regard, it is possible that systems with giant companions comprise a dynamically distinct population that may harbor some influence on population-level analyses of small-planet configurations. We thereby perform our primary binning analysis for the 48 USP and 316 non-USP systems where all planets fall within the subgiant (R p ≤ 4R ⊕ ) regime, obtaining characteristic values of P R = 0.97 +0.26 −0.19 and P P = 2.08 +0.17 −0.22 (Table 1). While this generally affirms that the presence of distant giant companions does not substantially affect the results of this work, we caution that some systems within our sample may host undetected gas giants, though the characterization of such objects may be emerge from Figure 3. Planets are systematically smaller in size for P ≲ 1 day and more detached from their companions for P ≲ 2 days. ...
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... we restrict our total sample to FGK main-sequence hosts only (4700 K ≤ T ef f ≤ 6500 K), and repeat our primary binning analysis for the resulting 32 USP and 231 non-USP systems. We obtain values of P R = 1.05 +0.50 −0.28 days and P P = 2.08 +0.28 −0.35 ( Table 1), indicating that our results are maintained even with the exclusion of M-dwarf hosts. ...
Context 5
... have therefore verified that all values for P R and P P obtained in this work (Table 1) exhibit a high degree of mutual consistency, and that our primary results of P R = 0.97 +0.25 −0.19 days and P P = 2.09 +0.16 −0.22 thus do not exhibit significant influence from inclusion of candidate objects, imprecise host parameters, presence of M-dwarf hosts, or biases associated with undetected planets. We have identified an empirical transition in planetary size near P R ∼ 1 day that displays extremely strong consistency with the traditional USP cutoff in all examined cases, affirming that this boundary likely corresponds to an astrophysical transition in planetary size between the USP and non-USP regimes. ...

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Terrestrial worlds with P < 1 day, known as ultra-short-period planets (USPs), comprise a physically distinct population whose origins may be attributed to various possible formation channels within multiplanet systems. However, the conventional 1 day boundary adopted for USPs is an arbitrary prescription, and it has yet to be evaluated whether thi...