---
title: Planet occurrence
summary: How common planets are, measured by counting the planets that surveys detect and correcting for the many they cannot. Most stars have at least one.
science_status: [observed, model, sim]
categories: [Planetary systems, Exoplanets, Occurrence rates]
aliases: ["How common are planets?", Planet occurrence rate, Occurrence rate, eta Earth, Eta-Earth, Planets per star, Planet frequency]
infobox:
  type: physics_concept
  name: Planet occurrence rate
  definition: "The average number of planets per star, or the fraction of stars with at least one planet, inside a stated range of planet size or mass and orbital period, after correcting for the planets a survey could not have detected."
  formulae:
    - name: "Occurrence by inverse detection efficiency"
      expression: "f = (1 / N_star) * sum_i [ 1 / (p_tr,i * p_det,i) ]"
      symbols: "N_star stars searched; sum over the i planets found; p_tr,i the geometric chance the orbit transits; p_det,i the chance the pipeline would have caught it"
    - name: "Transit probability, circular orbit"
      expression: "p_tr ~ R_star / a"
      symbols: "R_star stellar radius; a orbital semi-major axis (same units)"
    - name: "Radial-velocity semi-amplitude, circular orbit"
      expression: "K = 28.4 m/s * (m_p sin i / M_J) * (P / 1 yr)^(-1/3) * (M_star / M_sun)^(-2/3)"
      symbols: "m_p planet mass; i orbital inclination; M_J Jupiter's mass; P orbital period; M_star stellar mass"
    - name: "Giant planets and stellar metallicity (Fischer and Valenti 2005)"
      expression: "P(giant) ~ 0.03 * 10^(2.0 [Fe/H])"
      symbols: "[Fe/H] the star's iron abundance relative to the Sun, in dex; valid for -0.5 to +0.5"
  key_quantities:
    confirmed_planets: {value: 6372, as_of: "2026-09-25", source: "NASA Exoplanet Archive"}
    sun_like_stars_with_kepler_like_systems_percent: {value: "30 +/- 3", window: "radius above 1 Earth radius, period below 400 d", source: "Zhu et al. 2018"}
    inner_planet_host_fraction_percent: {value: "F2V 32, G2V 57, mid-K 96", window: "0.5 to 10 Earth radii, 3 to 300 d", source: "He, Ford and Ragozzine 2021"}
    planets_per_m_dwarf: {value: "2.5 +/- 0.2", window: "1 to 4 Earth radii, period below 200 d", source: "Dressing and Charbonneau 2015"}
    eta_earth_conservative_hz: {value: "0.37 to 0.60 planets per star", window: "0.5 to 1.5 Earth radii, stars of 4,800 to 6,300 K", source: "Bryson et al. 2021"}
    hot_jupiter_rate_percent: {value: "0.43 +/- 0.05 (Kepler field) to 1.2 +/- 0.38 (nearby FGK stars)", source: "Fressin et al. 2013; Wright et al. 2012"}
    cool_jupiter_rate_percent: {value: "6.7", window: "mass above 0.3 Jupiter masses, period above 100 d", source: "Wittenmyer et al. 2020"}
    giant_rate_percent: {value: "26.6 (+7.5 / -5.4)", window: "0.1 to 20 Jupiter masses, 0.1 to 100 AU", source: "Fernandes et al. 2019"}
    cold_planets_microlensing: {value: "one or more bound planets per star", window: "about 5 Earth masses to 10 Jupiter masses, 0.5 to 10 AU", source: "Cassan et al. 2012"}
  validity: "Every rate applies only inside the size and period window it was measured in. Adding windows together needs care, because planets cluster in systems rather than falling on stars independently."
  worked_example: "An observer far away sees Earth transit the Sun from only about 0.47% of random directions (R_sun / 1 AU = 696,000 km / 149.6 million km). Earth pulls the Sun back and forth at 9 cm/s; Jupiter at 12.5 m/s."
  sim_use: "Pax Abyssi decides whether a star has planets with one probability, P(planets), read off a curve along the main sequence and multiplied by factors for companions, metallicity, population, evolutionary state and age (utils/archetype_generators/no_planets_share.py; config/architecture_probabilities.json)."
  misconceptions:
    - "Kepler's early finding that roughly half of Sun-like stars have planets refers to one window of size and period. Stars that looked empty to Kepler can still hold cold giants, small planets or distant ones."
    - "A planets-per-star figure and a fraction-of-stars figure are different numbers. Thirty per cent of Sun-like stars host Kepler-like systems averaging three planets each, so the planets-per-star rate in that window is about 0.9."
sim:
  entity: occurrence.no_planets_share
refs:
  - id: nasa_archive
    type: webpage
    author: [{literal: NASA Exoplanet Archive}]
    title: "NASA Exoplanet Archive: confirmed planet count"
    container-title: NASA Exoplanet Science Institute, Caltech/IPAC
    URL: https://exoplanetarchive.ipac.caltech.edu/
    accessed: 2026-09-27
  - id: mayor1995
    type: article-journal
    author: [{family: Mayor, given: Michel}, {family: Queloz, given: Didier}]
    title: "A Jupiter-mass companion to a solar-type star"
    container-title: Nature
    volume: 378
    page: 355-359
    issued: 1995
    DOI: 10.1038/378355a0
  - id: fressin2013
    type: article-journal
    author: [{family: Fressin, given: Francois}, {family: Torres, given: Guillermo}, {family: Charbonneau, given: David}, {others: true}]
    title: "The False Positive Rate of Kepler and the Occurrence of Planets"
    container-title: The Astrophysical Journal
    volume: 766
    page: 81
    issued: 2013
    DOI: 10.1088/0004-637X/766/2/81
  - id: wright2012
    type: article-journal
    author: [{family: Wright, given: J. T.}, {family: Marcy, given: G. W.}, {family: Howard, given: A. W.}, {family: Johnson, given: John Asher}, {family: Morton, given: T.}, {family: Fischer, given: D. A.}]
    title: "The Frequency of Hot Jupiters Orbiting Nearby Solar-type Stars"
    container-title: The Astrophysical Journal
    volume: 753
    page: 160
    issued: 2012
    DOI: 10.1088/0004-637X/753/2/160
  - id: zhou2019
    type: article-journal
    author: [{family: Zhou, given: G.}, {others: true}]
    title: "Two New HATNet Hot Jupiters around A Stars and the First Glimpse at the Occurrence Rate of Hot Jupiters from TESS"
    container-title: The Astronomical Journal
    volume: 158
    page: 141
    issued: 2019
    DOI: 10.3847/1538-3881/ab36b5
  - id: gan2023
    type: article-journal
    author: [{family: Gan, given: Tianjun}, {others: true}]
    title: "Occurrence Rate of Hot Jupiters Around Early-type M Dwarfs Based on Transiting Exoplanet Survey Satellite Data"
    container-title: The Astronomical Journal
    volume: 165
    page: 17
    issued: 2023
    DOI: 10.3847/1538-3881/ac9b12
  - id: fischer2005
    type: article-journal
    author: [{family: Fischer, given: Debra A.}, {family: Valenti, given: Jeff}]
    title: "The Planet-Metallicity Correlation"
    container-title: The Astrophysical Journal
    volume: 622
    page: 1102-1117
    issued: 2005
    DOI: 10.1086/428383
  - id: buchhave2012
    type: article-journal
    author: [{family: Buchhave, given: Lars A.}, {others: true}]
    title: "An abundance of small exoplanets around stars with a wide range of metallicities"
    container-title: Nature
    volume: 486
    page: 375-377
    issued: 2012
    DOI: 10.1038/nature11121
  - id: dressing2015
    type: article-journal
    author: [{family: Dressing, given: Courtney D.}, {family: Charbonneau, given: David}]
    title: "The Occurrence of Potentially Habitable Planets Orbiting M Dwarfs Estimated from the Full Kepler Dataset and an Empirical Measurement of the Detection Sensitivity"
    container-title: The Astrophysical Journal
    volume: 807
    page: 45
    issued: 2015
    DOI: 10.1088/0004-637X/807/1/45
  - id: ribas2023
    type: article-journal
    author: [{family: Ribas, given: I.}, {others: true}]
    title: "The CARMENES search for exoplanets around M dwarfs. Guaranteed time observations Data Release 1 (2016-2020)"
    container-title: Astronomy & Astrophysics
    volume: 670
    page: A139
    issued: 2023
    DOI: 10.1051/0004-6361/202244879
  - id: he2021
    type: article-journal
    author: [{family: He, given: Matthias Y.}, {family: Ford, given: Eric B.}, {family: Ragozzine, given: Darin}]
    title: "Architectures of Exoplanetary Systems. II. An Increase in Inner Planetary System Occurrence toward Later Spectral Types for Kepler's FGK Dwarfs"
    container-title: The Astronomical Journal
    volume: 161
    page: 16
    issued: 2021
    DOI: 10.3847/1538-3881/abc68b
  - id: giacalone2025
    type: article-journal
    author: [{family: Giacalone, given: Steven}, {family: Dressing, given: Courtney D.}]
    title: "Small and Close-in Planets are Uncommon Around A-type Stars"
    container-title: The Astronomical Journal
    volume: 169
    page: 45
    issued: 2025
    DOI: 10.3847/1538-3881/ad9587
  - id: zhu2018
    type: article-journal
    author: [{family: Zhu, given: Wei}, {family: Petrovich, given: Cristobal}, {family: Wu, given: Yanqin}, {family: Dong, given: Subo}, {family: Xie, given: Jiwei}]
    title: "About 30% of Sun-like Stars Have Kepler-like Planetary Systems: A Study of Their Intrinsic Architecture"
    container-title: The Astrophysical Journal
    volume: 860
    page: 101
    issued: 2018
    DOI: 10.3847/1538-4357/aac6d5
  - id: zhuwu2018
    type: article-journal
    author: [{family: Zhu, given: Wei}, {family: Wu, given: Yanqin}]
    title: "The Super Earth-Cold Jupiter Relations"
    container-title: The Astronomical Journal
    volume: 156
    page: 92
    issued: 2018
    DOI: 10.3847/1538-3881/aad22a
  - id: knutson2014
    type: article-journal
    author: [{family: Knutson, given: Heather A.}, {others: true}]
    title: "Friends of Hot Jupiters. I. A Radial Velocity Search for Massive, Long-period Companions to Close-in Gas Giant Planets"
    container-title: The Astrophysical Journal
    volume: 785
    page: 126
    issued: 2014
    DOI: 10.1088/0004-637X/785/2/126
  - id: mulders2018
    type: article-journal
    author: [{family: Mulders, given: Gijs D.}, {family: Pascucci, given: Ilaria}, {family: Apai, given: Daniel}, {family: Ciesla, given: Fred J.}]
    title: "The Exoplanet Population Observation Simulator. I. The Inner Edges of Planetary Systems"
    container-title: The Astronomical Journal
    volume: 156
    page: 24
    issued: 2018
    DOI: 10.3847/1538-3881/aac5ea
  - id: fulton2017
    type: article-journal
    author: [{family: Fulton, given: Benjamin J.}, {family: Petigura, given: Erik A.}, {family: Howard, given: Andrew W.}, {others: true}]
    title: "The California-Kepler Survey. III. A Gap in the Radius Distribution of Small Planets"
    container-title: The Astronomical Journal
    volume: 154
    page: 109
    issued: 2017
    DOI: 10.3847/1538-3881/aa80eb
  - id: petigura2013
    type: article-journal
    author: [{family: Petigura, given: Erik A.}, {family: Howard, given: Andrew W.}, {family: Marcy, given: Geoffrey W.}]
    title: "Prevalence of Earth-size planets orbiting Sun-like stars"
    container-title: Proceedings of the National Academy of Sciences
    volume: 110
    page: 19273-19278
    issued: 2013
    DOI: 10.1073/pnas.1319909110
  - id: bryson2021
    type: article-journal
    author: [{family: Bryson, given: Steve}, {others: true}]
    title: "The Occurrence of Rocky Habitable-zone Planets around Solar-like Stars from Kepler Data"
    container-title: The Astronomical Journal
    volume: 161
    page: 36
    issued: 2021
    DOI: 10.3847/1538-3881/abc418
  - id: cassan2012
    type: article-journal
    author: [{family: Cassan, given: A.}, {others: true}]
    title: "One or more bound planets per Milky Way star from microlensing observations"
    container-title: Nature
    volume: 481
    page: 167-169
    issued: 2012
    DOI: 10.1038/nature10684
  - id: wittenmyer2020
    type: article-journal
    author: [{family: Wittenmyer, given: Robert A.}, {others: true}]
    title: "Cool Jupiters greatly outnumber their toasty siblings: occurrence rates from the Anglo-Australian Planet Search"
    container-title: Monthly Notices of the Royal Astronomical Society
    volume: 492
    page: 377-383
    issued: 2020
    DOI: 10.1093/mnras/stz3436
  - id: fernandes2019
    type: article-journal
    author: [{family: Fernandes, given: Rachel B.}, {family: Mulders, given: Gijs D.}, {family: Pascucci, given: Ilaria}, {family: Mordasini, given: Christoph}, {family: Emsenhuber, given: Alexandre}]
    title: "Hints for a Turnover at the Snow Line in the Giant Planet Occurrence Rate"
    container-title: The Astrophysical Journal
    volume: 874
    page: 81
    issued: 2019
    DOI: 10.3847/1538-4357/ab0300
  - id: nielsen2019
    type: article-journal
    author: [{family: Nielsen, given: Eric L.}, {others: true}]
    title: "The Gemini Planet Imager Exoplanet Survey: Giant Planet and Brown Dwarf Demographics from 10 to 100 au"
    container-title: The Astronomical Journal
    volume: 158
    page: 13
    issued: 2019
    DOI: 10.3847/1538-3881/ab16e9
images_wanted:
  - file: File:Planet_detection_windows_diagram.svg
    subject: "Diagram, planet mass (0.1 Earth masses to 20 Jupiter masses, log scale) against orbital distance (0.01 to 100 AU, log scale). Shaded regions show where each survey method is sensitive for a Sun-like star: transits (Kepler) close in, radial velocity out to a few AU for massive planets, microlensing around 0.5 to 10 AU, direct imaging for young giants beyond about 10 AU. The eight Solar System planets are plotted as labelled points, showing that only Venus and Earth would be near Kepler's reach and Jupiter near the edge of long radial-velocity surveys."
    source: other
    note: "shot list: to be drawn in the site's diagram style; no agency image needed"
  - file: File:Planet_occurrence_by_spectral_type_diagram.svg
    subject: "Diagram, probability that a star has at least one planet (0 to 1) against spectral type from O0 to M9. A line shows the sim's P(planets) curve through its knots (O0 0.03, O9 0.06, B0 0.10, B2 0.18, B4 0.30, B5 0.38, B7 0.48, B9 0.55, A0 0.57, A5 0.60, A9 0.63, F0 0.64, F2 0.66, F5 0.70, F8 0.78, F9 0.82, G0 0.87, G2 0.89, G5 0.91, G8 0.935, K0 0.944, K5 0.958, M0 to M9 0.96). Points mark measured inner-window host fractions (He et al. 2021: F2V 0.32, G2V 0.57, mid-K 0.96), labelled as floors because they count only planets of 0.5 to 10 Earth radii inside 300 days. The O-star segment is drawn dashed and labelled 'assumption'."
    source: sim
    source_ref: "S/code:config/architecture_probabilities.json (no_planets_share.with_planets_by_subtype)"
    note: "shot list: chart from the numbers above; prefix legend in content/wiki/_notes/writer-c.md"
---

**Planet occurrence** is the astronomer's word for how common planets are: the average number of planets per star, or the fraction of stars that have any, inside a stated range of planet size and orbital period. It is never a raw count. Every survey method misses most of the planets that exist, so each rate is a detection count divided by the survey's sensitivity. Thirty years after the first planet was found around a Sun-like star :cite[mayor1995], and with 6,372 planets confirmed as of 25 September 2026 :cite[nasa_archive], the answer is clear in outline: planets are the rule, most stars have several, and the kinds of planet a star gets depend strongly on its mass and its metal content.

## What a rate means

Surveys see planets through narrow windows. A transit survey such as Kepler catches a planet only when its orbit happens to be edge-on, crossing the face of its star; for a circular orbit the chance of that alignment is roughly the star's radius divided by the orbit's size,

$$
p_\mathrm{tr} \approx \frac{R_\star}{a}.
$$

For Earth around the Sun that is 696,000 km divided by 149.6 million km, about 0.47 per cent, one viewing direction in 215. The radial-velocity method, which measures the star's wobble, has the opposite bias: it favours heavy planets close in. The star's speed amplitude is

$$
K = 28.4\ \mathrm{m\,s^{-1}} \left(\frac{m_p \sin i}{M_\mathrm{J}}\right)\left(\frac{P}{1\ \mathrm{yr}}\right)^{-1/3}\left(\frac{M_\star}{M_\odot}\right)^{-2/3},
$$

which gives 12.5 m/s for Jupiter tugging on the Sun and 9 cm/s for Earth, a signal at the edge of what the best spectrographs can reach.

To turn detections into a rate, each planet found is weighted by how unlikely it was to be found:

$$
f = \frac{1}{N_\star}\sum_{i} \frac{1}{p_{\mathrm{tr},i}\,p_{\mathrm{det},i}},
$$

where $N_\star$ is the number of stars searched and $p_{\mathrm{det},i}$ is the measured chance that the survey's software would have flagged that planet. A single Earth-like detection in a transit survey therefore stands for about 200 planets that were not aligned.

Two kinds of number come out, and they are easily confused. A *planets-per-star* rate counts planets; a *host fraction* counts stars with at least one. Planets clump into systems, so the two do not convert simply. If planets fell on stars independently, a mean of $\lambda$ planets per star would leave a fraction $e^{-\lambda}$ of stars empty. Kepler's close-in planets do not behave like that: about 30 per cent of Sun-like stars host a Kepler-like system of planets larger than Earth inside 400 days, and those systems average three planets each :cite[zhu2018]. That is 0.9 planets per star in the window, but only 30 per cent of stars, where independent placement would have given 59.

## How we know

Each method covers a different patch of the mass and distance plane, and the full picture is stitched together from all of them.

- **Transits.** Kepler watched about 150,000 stars for four years and produced most of the statistics for small planets inside about one AU. It found that planets between Earth and Neptune in size, which the Solar System lacks, are the commonest kind close to stars, and that their radii split in two with a gap near 1.5 to 2 Earth radii :cite[fulton2017]. TESS extends the same census to bright, nearby stars of every type.
- **Radial velocity.** Decades-long wobble surveys of nearby stars measure giant planets out to a few AU and the frequency of planets around M dwarfs :cite[wittenmyer2020] :cite[ribas2023].
- **Microlensing.** When a star passes in front of a more distant one, its gravity briefly magnifies the background light, and a planet adds a blip. The method is most sensitive at 0.5 to 10 AU, beyond the reach of the other two, and it found that cold planets are common too :cite[cassan2012].
- **Direct imaging** sees young giant planets tens of AU from their stars. About 9 per cent of stars heavier than 1.5 solar masses have a planet of 5 to 13 Jupiter masses at 10 to 100 AU, and such planets are rarer around Sun-like stars :cite[nielsen2019].

::figure{src="File:Planet_detection_windows_diagram.svg" size=wide alt="Log-log chart of planet mass against orbital distance with shaded regions for transit, radial-velocity, microlensing and imaging surveys and the Solar System planets plotted as points" caption="Diagram: each survey method sees a different window of planet mass and orbital distance. Most of the Solar System would be invisible to Kepler."}

## What the surveys found

**Small planets are everywhere close in.** Around Sun-like stars the fraction hosting at least one planet of 0.5 to 10 Earth radii within 300 days rises steeply toward cooler stars: 32 per cent for an F2 dwarf, 57 per cent for a G2 dwarf like the Sun and about 96 per cent for a mid-K dwarf :cite[he2021]. M dwarfs are richer still, with 2.5 ± 0.2 planets of 1 to 4 Earth radii per star inside 200 days :cite[dressing2015], and a radial-velocity survey of 238 M dwarfs finds 1.44 ± 0.20 planets per star between 1 and 1,000 Earth masses inside 1,000 days, which implies that nearly every M dwarf has one :cite[ribas2023]. At the hot end the trend continues: a search of 20,257 A stars with TESS found no reliable small close-in planet, which puts sub-Neptunes around A stars at fewer than about 9 per 1,000 stars, several times rarer than around the Sun's kind :cite[giacalone2025].

**Hot Jupiters are rare.** Giant planets orbiting in less than ten days, the first kind found around a Sun-like star :cite[mayor1995], occur around 0.43 ± 0.05 per cent of stars in the Kepler field :cite[fressin2013] and 1.2 ± 0.38 per cent of nearby F, G and K dwarfs in radial-velocity surveys :cite[wright2012]. The two samples were chosen differently and the gap between them is not fully explained. TESS finds 0.41 ± 0.10 per cent overall and 0.26 ± 0.11 per cent for A stars :cite[zhou2019], and 0.27 ± 0.09 per cent for early M dwarfs :cite[gan2023].

**Cold giants are about ten times commoner than hot ones.** The Anglo-Australian Planet Search finds giant planets of more than 0.3 Jupiter masses on orbits longer than 100 days around 6.7 per cent of Sun-like stars, against 0.84 per cent for hot Jupiters in the same sample :cite[wittenmyer2020]. Combining Kepler and radial velocities, giant-planet occurrence rises with distance, peaks near 2 to 3 AU, close to where water freezes in a young planetary disc, and then declines; giant planets of 0.1 to 20 Jupiter masses anywhere between 0.1 and 100 AU number about 0.27 per Sun-like star :cite[fernandes2019]. Microlensing adds Neptune-mass and super-Earth planets at a few AU in large numbers, enough to conclude that stars have one or more bound planets as a rule :cite[cassan2012].

**Metal-rich stars make giants.** The chance that a Sun-like star has a giant planet detectable by radial velocity grows as the square of its iron content,

$$
P(\text{giant}) \approx 0.03 \times 10^{\,2.0\,[\mathrm{Fe/H}]},
$$

about 3 per cent at solar metallicity, 12 per cent at twice the Sun's iron ([Fe/H] = +0.3) and 0.3 per cent at a third of it :cite[fischer2005]. Small planets show no such dependence and form around stars across a wide range of metallicity :cite[buchhave2012].

**Planets come in correlated families.** Cold Jupiters are about three times more common around stars that host inner super-Earths, and about 90 per cent of cold-Jupiter hosts also have super-Earths closer in :cite[zhuwu2018]. About half of hot-Jupiter systems, 51 ± 10 per cent, have a distant massive companion between 1 and 20 AU :cite[knutson2014]. By these measures the Solar System, with nothing inside Mercury's orbit, is unusual: a population model fitted to Kepler finds fewer than about 8 per cent of planetary systems with no planet interior to Mercury :cite[mulders2018].

## Earth-like planets and eta-Earth

The number most often asked for is **eta-Earth**, $\eta_\oplus$: the average number of rocky, roughly Earth-sized planets in the [[Habitable zone|habitable zone]] of a Sun-like star. Almost no such planets are detected directly, because a year-long orbit transits rarely and produces a tiny wobble, so eta-Earth is an extrapolation and its value depends on the definitions chosen. For planets of 0.5 to 1.5 Earth radii around stars of 4,800 to 6,300 K, the final Kepler data give 0.37 to 0.60 per star in the conservative habitable zone and 0.58 to 0.88 in the wider optimistic one, which would place the nearest such planet around a G or K dwarf about 6 parsecs away on average :cite[bryson2021]. An earlier estimate for planets of 1 to 2 Earth radii with periods of 200 to 400 days found 5.7 per cent :cite[petigura2013]. For M dwarfs the conservative figure is 0.16 Earth-size planets per star :cite[dressing2015]. None of these numbers says anything about whether such planets are habitable in practice.

:::callout{type=science title="How many planets are in the Milky Way?"}
Put the pieces together and the Galaxy holds at least as many planets as stars: microlensing alone implies one or more per star at 0.5 to 10 AU :cite[cassan2012], and the close-in small planets of M dwarfs, which make up most stars, add two or more each :cite[dressing2015]. With a stellar population usually quoted between 100 and 400 billion (see [[Milky Way]]), that is hundreds of billions of planets, the great majority of them sub-Neptunes and super-Earths around red dwarfs, a kind of world the Solar System does not contain.
:::

## Notable numbers

| Quantity | Value | Window | Source |
|---|---|---|---|
| Confirmed planets | 6,372 | all methods, as of 25 September 2026 | :cite[nasa_archive] |
| Sun-like stars with a Kepler-like system | 30 ± 3 % | larger than 1 Earth radius, inside 400 d | :cite[zhu2018] |
| G2V stars with an inner planet | 57 % | 0.5 to 10 Earth radii, 3 to 300 d | :cite[he2021] |
| Small planets per M dwarf | 2.5 ± 0.2 | 1 to 4 Earth radii, inside 200 d | :cite[dressing2015] |
| Hot Jupiters, FGK stars | 0.43 to 1.2 % | period below 10 d | :cite[fressin2013] :cite[wright2012] |
| Cool Jupiters, Sun-like stars | 6.7 % | above 0.3 Jupiter masses, beyond 100 d | :cite[wittenmyer2020] |
| Eta-Earth, conservative zone | 0.37 to 0.60 | 0.5 to 1.5 Earth radii, FGK stars | :cite[bryson2021] |

:::callout{type=sim title="In Pax Abyssi"}
Whether a star in Pax Abyssi has planets is decided by one probability. A single, solar-metallicity, main-sequence star draws its base value from a curve read off its spectral subtype: 0.89 for a G2 dwarf like the Sun, 0.96 for M dwarfs, falling to 0.64 at F0, 0.57 at A0 and 0.10 at B0. Across G, K and M the curve is the fit

$$
P_0(T) = 0.55 + \frac{0.41}{1 + e^{(T - 6250\,\mathrm{K})/300\,\mathrm{K}}},
$$

built to match the measured host fractions above with an allowance for the cold planets that transit surveys cannot see. For O stars, where no planet, survey or model exists, the sim uses 0.03 to 0.06 and labels it an assumption. The base value is then multiplied by factors for a close companion star (0.25 for one between 1 and 10 AU), low metallicity (0.6 below a tenth of the Sun's iron), the old thick disc or halo, an evolved star (0.75 for a giant, 0.35 for a supergiant) and extreme youth. Stars with real, catalogued exoplanets always keep them.

Measured on 12,000 generated stars, 88 per cent of single G dwarfs came out with planets. The sky you can click on in the game is dominated by bright stars, many of them hot, evolved or double, so there the fraction is lower: 2,188 of the 5,160 stars generated so far have planets, 8,751 planets and 7,495 moons in all, each system identical every time it is generated. What kinds of system those planets form is set by the [[Planetary system archetypes|archetype]] a star draws.
:::

## See also

- [[Planetary system archetypes]]
- [[Star system generation]]
- [[Habitable zone]]
- [[Radius valley]]
- [[Hot Jupiter]]
- [[Mini-Neptune]]
- [[Super-Earth]]
- [[Red dwarf]]
- [[Orbit]]
