Population

15 chapters, each an animated explainer with its physics and sources. Every drawing says whether it is an illustration, a model from stored values, or real data, and by how much it is exaggerated. Only the transit chapter is something SetuHQ itself does.

Chapter 13 of 15

Population

With thousands of planets, patterns appear. Two of them: a valley in the sizes of small planets, and the zone around each star where liquid water could last.

Real data, cited
Histogram of 4,742 planet radii from exoplanet.eu (period under 100 days), on log bins from 0.5 to 20 Earth radii, with the 1.5–2 Earth-radius valley marked and pi Men c's radius shown.

Small close-in planets come in two groups: rocky super-Earths below about 1.5 R⊕ and gas-wrapped sub-Neptunes around 2–3 R⊕, with fewer in between (Fulton et al. 2017 found at least a factor-of-two deficit at 1.5–2.0 R⊕ in a carefully measured sample). The leading explanations strip thin envelopes from small cores: photoevaporation (Owen & Wu 2017) or core-powered mass loss (Gupta & Schlichting 2019).

These are raw catalogue counts (planets with a stored radius and period < 100 d; 40 log bins from 0.5 to 20 Earth radii), not occurrence rates: nothing corrects for which planets are easier to find, and catalogue radii carry the stars' radius errors. The dip is shallower here than in Fulton et al.'s corrected, precise sample. pi Men c's stored radius is 1.87 R⊕.

Real data, cited
Stellar temperature against the starlight each planet receives, for the 266 catalogue planets inside the optimistic habitable zone, with the conservative and optimistic limits of Kopparapu et al. 2014 drawn as curves.

The habitable zone is the range of starlight in which an Earth-like planet could keep liquid surface water. Its limits come from climate models as a flux that depends on the star's temperature (Kopparapu et al. 2014). Being in it is necessary, not sufficient: it says nothing about a planet's atmosphere, and many planets inside it are giants.

QuantityValueFrom
Sun's conservative habitable zone0.95–1.68 AUKopparapu et al. 2014, Table 1 [calc]
pi Men's conservative habitable zone1.13–1.97 AUL = 1.45 L☉ from exoplanet.eu R★ and Teff [calc]
Starlight on pi Men c322 × Earth'sa = 0.06702 AU: far inside, a hot planet [calc]
Catalogue planets in the conservative zone170of 4,680 with the needed stored values (exoplanet.eu) [calc]
…in the optimistic zone266[calc]
Earth-size planets in the zone per Sun-like star (η⊕)0.37–0.60conservative zone, 0.5–1.5 R⊕, with wide errors (Bryson et al. 2021)
Sources

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