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Long-term Survey Analyzes Gas Giant Distribution

Back in the 1990s, when the first exoplanet detections were made, the best possible targets for radial velocity searches were what we now call ‘hot Jupiters.’ Radial velocity looks at the Doppler shift of light as a star moves first towards us, then away, tugged by the invisible planet. A massive Jupiter in a tight orbit tugged maximally, and quite often, because its orbit could be measured in mere days or weeks. It was purely selection effect, but it seemed that such planets were common, until we began to discover just how many other kinds of worlds were out there.

Outer-system Jupiters like ours are a different problem. A gas giant in a multi-year orbit produces a radial velocity signature that is far smaller and dependent upon long analysis. Thus, early numbers on the existence of gas giants in the Jupiter or Saturn class and similarly far from their host star are just beginning to emerge as exoplanet science matures. We’ll be learning more — a lot more — but tentative findings from a major survey bear no real surprises.

Indeed, the longest-duration exoplanet survey to date has found that giant planets like Jupiter and Saturn are normally located between 1 and 10 AU from their host stars. From a statistical analysis of the data, about 14 cold gas giants occur per 100 stars in the galaxy, with the number detected around nearby stars indicating that such planets exist in the billions. The Solar System’s planetary configuration, though not the most common, is hardly unusual.

Dating back to the 1990s, the California Legacy Survey draws on data from the HIRES spectrometer at Keck Observatory (High-Resolution Echelle Spectrometer), as well as from the Shane and Automated Planet Finder telescopes at Lick Observatory, with two new papers on its findings now in process at the Astrophysical Journal Supplement. B J Fulton (Caltech), who is lead author on the second of the two papers cited below, is quick to point out the size limitations of planets used in the survey but finds the data on gas giants compelling:

“While we can’t detect smaller planets similar to Neptune and Uranus that are very distant from their stars, we can infer that the large gas giants like Jupiter and Saturn are extremely rare in the outermost regions of most exoplanetary systems.”

Image: This graph of data collected by the California Legacy Survey indicates that most giant planets in the galaxy tend to reside about 1 to 10 astronomical units (AU) from their host stars. An AU is defined as the distance from Earth to our sun, or about 150 million kilometers. This is similar to what we see in our own solar system: Earth orbits at 1 AU; Jupiter is situated at about 5 AU and Saturn at 9 AU. Credit: California Legacy Survey/T. Pyle (Caltech/IPAC).

The scientists performing the survey over the course of its lifetime observed 719 Sun-like stars (classes F, G, K and M), detecting 177 planets through radial velocity methods, 14 of which were new discoveries. The masses detected ranged between 1/100th and 20 times the mass of Jupiter; the catalog of planets is reported in the first of the papers cited below.

The second paper measured giant planet occurrence as a function of semi-major axis, using a hierarchical Bayesian technique. The paper notes that previous studies have likewise found “a strong enhancement in the occurrence rates of these planets around 1 au.” The occurrence measurements beyond 10 AU are consistent with similar findings from direct imaging surveys.

As the authors note, radial velocity methods are now beginning to discover planets in orbital periods comparable to Saturn’s. The finding is that giant planet occurrence is enhanced by a factor of four beyond 1 AU compared to within 1 AU. Planets more massive than 30 times Earth mass are 2-4 times more common at 1-3 AU than 0.1-0.3 AU.

Although the authors are interested in planet formation models that may be derived from this work, they’re looking to future data to widen the sampling of host stars:

Unfortunately, it is difficult to extract significant constraints on planet formation models from semi-major axis distributions alone. Future planet catalogs produced by Gaia and The Roman Space Telescope will help to measure the precise shape of the occurrence enhancement around 1 au with planet samples several orders of magnitude larger, but the stellar samples will be different from ours. We plan for future works in this series to analyze the host star metallicity, eccentricity, and multiplicity distributions of our sample, in the hopes of uncovering evidence that discriminates between different planet formation models.

So determining the distribution and orbital parameters of gas giants in the galaxy is very much a work in progress as we widen the range of radial velocity detections with longer runs of data. There will be more than one generation of work involved in tightening up such numbers.

The papers are Rosenthal et al., “The California Legacy Survey I. A Catalog of 177 Planets from Precision Radial Velocity Monitoring of 719 Nearby Stars Over Three Decades,” (preprint) and Fulton et al., “California Legacy Survey II. Occurrence of Giant Planets Beyond the Ice Line” (preprint), both in process at the Astrophysical Journal Supplement.

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{ 12 comments… add one }
  • Thomas R Mazanec June 1, 2021, 16:31

    Any hint of differences between F and M stars, like GGs being closer to the M stars?

    • Alex Tolley June 1, 2021, 23:10

      Following that thought, as M_dwarfs are low mass stars, wouldn’t a better technique be to normalize the distribution with some other measure that reflects the star, e.g. luminosity, position of the snow line, or mass? This would place the planet in a distribution that reflects its environment.

      • EricSECT June 2, 2021, 7:35

        Excellent point, Alex.

        Plus how many of these systems with a gas giant or two “in the right orbit” also have a super Earth(s) in the habitable zone?

        A premise of the Nice Model is that Jupiter’s inward migration prevented a super Earth (or several) from hogging up Sol’s HZ, and tossed that “excess” building material out.

        Now, as far as a super Earth in the HZ being inhabited by single celled …..probably favorable.

        But more complex life, that capable of technology and spaceflight?

        I think the deep gravity well would prevent that on both counts.

        The formation of a second gas giant,Saturn, of just the right mass, at the right time and in the right orbit to cause a resonance with Jupiter ….and tack away from Sol? That’s gotta be highly unlikely. (Plus…. what eventually broke that resonance?)

        And don’t get me started on the value of our large moon, Luna, which stabilized Earth’s obliquity, gave us a strong magnetic field and likely jump started plate tectonics. All seem necessary for complex life.

      • Alex Tolley June 3, 2021, 15:19

        The 2nd paper looks like it does redraw the chart (figure 11) normalizing to luminosity.

        Figure 11. Analogous to Figure 2, occurrence with respect
        to stellar light intensity instead of orbital separation. Here
        we see a similar enhancement in the occurrence rate of giant
        planets where the insolation flux is equal to that of Earth
        and tentative evidence for a fall off in occurrence just beyond
        that.

        Interesting that the peak occurrence is just beyond the luminosity-adjusted orbit of Earth, and it looks like inside the orbit of Jupiter.

        However:

        One common theme among planet formation models
        of gas giants is that protoplanets tend to migrate inward,
        all the way to the inner edge of the disk, on timescales
        much shorter than the gas dissipation timescale. This
        tends to produce an enhancement of occurrence closer to
        the star and/or many planets being engulfed by the host
        star.

  • Robin Datta June 1, 2021, 20:15

    A prior related post at oklo:
    Sixty Hot Jupiters

  • Alex Tolley June 1, 2021, 23:48

    Is the image redrawn from the 2nd paper, or from another paper not referenced?

    • Paul Gilster June 2, 2021, 6:17

      Evidently drawn from data discussed in the second paper, though not used in this form in the paper. It comes directly from the survey team.

  • Mike Serfas June 2, 2021, 8:52

    Figure 11 in the second paper is intriguing. Viewed by light intensity, the level of light received by Earth is, at least marginally, the most likely location for a gas giant (1 in 20 stars surveyed). The search is not complete, so that level might go up a little. It seems that habitable watery moons of gas giants are definitely on the menu! Now the question I’d ask would be what happens to atmosphere lost from small gas giant moons. Do atoms escaping these atmospheres also escape the gas giant’s orbit, or do they orbit until they strike another moon, allowing smaller moons to retain an atmosphere longer than a planet of the same size?

    • Alex Tolley June 2, 2021, 10:15

      In IO’s case, isn’t there a thin sulfur halo around Jupiter in IO’s orbit?

      • Mike Serfas June 4, 2021, 10:44

        I found something on the Io plasma torus here ( https://arxiv.org/abs/1701.07435 ) but I don’t trust myself to deduce anything from it. I don’t know if a moon without remarkable volcanoes or a planet with a weaker magnetic field would sustain any similar effect, and I don’t understand how much of the material would return to Io. There was reportedly a followup ( https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2020JA028710 ) but I can’t read it – I find nothing but the first paper from that author on Arxiv.

  • ljk June 2, 2021, 10:36

    JUNE 1, 2021

    Exoplanet surveys are leaning toward the possibility that our solar system is normal

    https://phys.org/news/2021-06-exoplanet-surveys-possibility-solar.html

  • wdk June 2, 2021, 22:16

    No doubt: there is a lot of valuable information in these two survey papers. Very much like a census with a, b, c and d questionnaires though.
    Because speaking of of likely distances for terrestrial and jovian planets across a spread of F, G, K and M stars ignores where snow lines and HZs are in the range of cases. if the mass of a star goes down to quarter the sun’s the period at specific distances are going to double, but the snow line is going to recede to very close in due to luminosity reductions. Spectral type breakout should coming in with GAIA with a larger data set, if not a longer observation period.
    That will help.

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