Brown dwarf

Computer security

RADIUS

Eccentricity (behavior)

Planetary mass

Astrophysics

Computer science

Exoplanet

Physics

Planetary system

Common envelope

White dwarf

Astronomy

Political science

Eclipse

Orbital eccentricity

Gas giant

Orbital period

Planet

Super-Earth

Radial velocity

Stars

The Astronomical Journal

We present an intensive effort to refine the mass and orbit of the enveloped terrestrial planet GJ 1214 b using 165 radial velocity (RV) measurements taken with the HARPS spectrograph over a period of ten years. We conduct a joint analysis of the RVs with archival Spitzer/IRAC transits and measure a planetary mass and radius of $8.17\pm 0.43 M_{\oplus}$ and $2.742^{+0.050}_{-0.053} R_{\oplus}$. Assuming GJ 1214 b is an Earth-like core surrounded by a H/He envelope, we measure an envelope mass fraction of $X_{\rm env}= 5.24^{+0.30}_{-0.29}$%. GJ 1214 b remains a prime target for secondary eclipse observations of an enveloped terrestrial, the scheduling of which benefits from our tight constraint on the orbital eccentricity of $<0.063$ at 95% confidence, which narrows the secondary eclipse window to 2.8 hours. By combining GJ 1214 with other mid-M dwarf transiting systems with intensive RV follow-up, we calculate the frequency of mid-M dwarf planetary systems with multiple small planets and find that $90^{+5}_{-21}$% of mid-M dwarfs with a known planet with mass $\in [1,10] M_{\oplus}$ and orbital period $\in [0.5,50]$ days, will host at least one additional planet. We rule out additional planets around GJ 1214 down to $3 M_{\oplus}$ within 10 days such that GJ 1214 is a single-planet system within these limits, a result that has a $44^{+9}_{-5}$% probability given the prevalence of multi-planet systems around mid-M dwarfs. We also investigate mid-M dwarf RV systems and show that the probability that all reported RV planet candidates are real planets is $<12$% at 99% confidence, although this statistical argument is unable to identify the probable false positives.

A More Precise Mass for GJ 1214 b and the Frequency of Multiplanet Systems Around Mid-M Dwarfs