A Short-Period Censor of Sub-Jupiter Mass Exoplanets with Low Density

Introduction
According to the exoplanet database exoplanet.eu, there are currently 515 known planets outside of our solar system. Approximately 20% of these planets are transiting planets, which means that their orbits cause them to pass in front of their host stars as seen from Earth. During a transit, the host star appears dimmer because some of the starlight is blocked by the disk of the transiting planet. Consequently, transiting planets can be detected by watching for periodic dips in the brightness of the host star.

In this paper, Szabó and Kiss compared the planetary parameters of 106 transiting exoplanets to look for clusters of planets in plots of mass versus radius, period versus radius, and other combinations of parameters. Several of those plots are shown below:

Mass-density, period-radius, and period-mass plots for transiting exoplanets.

From Figure 1 of Szabó and Kiss. Panel A shows the density of each planet as a function of mass. The underlying dashed lines represent models from Fortney et al. 2007 for a range of planetary core masses. In the panel B, the authors have separated the planets into two mass-density subclasses. The lower two panels display the two subclasses of planets in radius-period space (panel C) and mass-period space (panel D).

Results
As shown in panel B, the authors classified the planets into two subclasses based on their position in the mass-density diagram. The more massive and denser subclass (blue in panel B) consists of hot Jupiters that are more massive or denser than Jupiter, while the less massive and less dense subclass (magenta in panel B) consists of a mix of super-Earths, hot Neptunes, and less massive, less dense hot Jupiters. When the authors plotted the planets in period-radius space, they saw that the hot Jupiters in the more massive and denser subclass had a wide range of orbital periods, while all of the hot Neptunes and hot Jupiters (but not the two super Earths) in the less massive and less dense subclass had orbital periods greater than 2.88 days. The observed “low-period desert” for sub-Jupiter exoplanets is inconsistent with current theoretical models of planet formation.

Methods
The authors first performed a cluster analysis to classify the planets into subclasses and then applied a statistical test to investigate the probability that the “low-period desert” for sub-Jupiters occurred by chance. To perform a cluster analysis, a researcher first identifies subgroups in one plane (here, mass versus density) and then uses the same color coding to plot the data in several other planes (e.g., radius versus density).

Future Work
The statistical test revealed that the “low-period desert” for sub-Jupiters is real, but the desert is not produced in theoretical models of planet formation. Further work is required to improve both planet formation models and the database of measured planetary parameters.

About Courtney Dressing

I am a fourth-year graduate student in the Astronomy Department at Harvard University. My research interests include exoplanets, habitability, and astrobiology. I received a master's degree in astronomy and astrophysics from Harvard University and a bachelor's degree in astrophysical sciences from Princeton University. At Princeton, I worked with Jill Knapp to study the magnetic activity of M dwarfs with white dwarf companions and with Dave Spiegel to model the habitability of terrestrial exoplanets. For my senior thesis, I worked with Ed Turner, Michael McElwain, and the SEEDS (Strategic Explorations of Exoplanets and Disks with Subaru) collaboration to directly image young Jovian exoplanets using the Subaru telescope. At Harvard, I am working with Dave Charbonneau to study the properties, frequency, and detectability of small planets orbiting small stars.

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