Mass Derivation of planets K2-21b and K2-21c from Transit Timing Variations
arXiv:2305.11359 · doi:10.1093/mnras/stad238
Abstract
While various indirect methods are used to detect exoplanets, one of the most effective and accurate methods is the transit method, which measures the brightness of a given star for periodic dips when an exoplanet is passing in front of the parent star. For systems with multiple transiting planets, the gravitational perturbations between planets affect their transit times. The difference in transit times allows a measurement of the planet masses and orbital eccentricities. These parameters help speculating on the formation, evolution and stability of the system. Using Transit Timing Variations (TTVs), we measure the masses and eccentricities of two planets orbiting K2-21, a relatively bright K7 dwarf star. These two planets exhibit measurable TTVs, have orbital periods of about 9.32 days and 15.50 days, respectively, and a period ratio of about 1.66, which is relatively near to the 5:3 mean motion resonance. We report that the inner and outer planets in the K2-21 system have properties consistent with the presence of a hydrogen and helium dominated atmospheres, as we estimate their masses to be 1.59^{+0.52}_{-0.44} M_E and 3.88^{+1.22}_{-1.07} M_E and densities of 0.22^{+0.05}_{-0.04} rho_E and 0.34^{+0.08}_{-0.06} rho_E, respectively (M_E and rho_E are the mass and density of Earth, respectively). Our results show that the inner planet is less dense than the outer planet; one more counter-intuitive exoplanetary system such as Kepler-105, LTT 1445, TOI-175 and Kepler-279 systems.
References in corpus (42)
- emcee: The MCMC Hammer
- Analytic Lightcurves for Planetary Transit Searches
- The K2 Mission: Characterization and Early results
- Planet Occurrence within 0.25 AU of Solar-type Stars from Kepler
- REBOUND: An open-source multi-purpose N-body code for collisional dynamics
- On detecting terrestrial planets with timing of giant planet transits
- DHP Framework: Digital Health Passports Using Blockchain -- Use case on international tourism during the COVID-19 pandemic
- Most 1.6 Earth-Radius Planets are not Rocky
- Architecture of Kepler's Multi-transiting Systems: II. New investigations with twice as many candidates
- IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
- Understanding the Mass-Radius Relation for Sub-Neptunes: Radius as a Proxy for Composition
- Probabilistic Forecasting of the Masses and Radii of Other Worlds
- Validation of Kepler's Multiple Planet Candidates. III: Light Curve Analysis & Announcement of Hundreds of New Multi-planet Systems
- Planet formation around stars of various masses: The snow line and the frequency of giant planets
- Mass-Radius Relation for Rocky Planets based on PREM
- Extracting Planet Mass and Eccentricity From TTV data
- How to Distinguish between Cloudy Mini-Neptunes and Water/Volatile-Dominated Super-Earths
- Breeding Super-Earths and Birthing Super-Puffs in Transitional Disks
- A Plateau in the Planet Population Below Twice the Size of Earth
- First order resonance overlap and the stability of close two planet systems
- Transit and Eclipse Analyses of Exoplanet HD 149026b Using BLISS Mapping
- TTVFast: An efficient and accurate code for transit timing inversion problems
- Influence of Stellar Multiplicity On Planet Formation. I. Evidence of Suppressed Planet Formation Due to Stellar Companions Within 20 AU and Validation of Four Planets From the Kepler Multiple Planet Candidates
- The L 98-59 System: Three Transiting, Terrestrial-Sized Planets Orbiting a Nearby M-dwarf
- An update to the EVEREST K2 pipeline: Short cadence, saturated stars, and Kepler-like photometry down to Kp = 15
- Transit Timing Variation of Near-Resonance Planetary Pairs. II. Confirmation of 30 planets in 15 Multiple Planet Systems
- Measurement of planet masses with transit timing variations due to synodic "chopping" effects
- Warm terrestrial planet with half the mass of Venus transiting a nearby star
- RUN DMC: An efficient, parallel code for analyzing Radial Velocity Observations using N-body Integrations and Differential Evolution Markov chain Monte Carlo
- Three Red Suns in the Sky: A Transiting, Terrestrial Planet in a Triple M Dwarf System at 6.9 Parsecs
- Two Transiting Earth-size Planets Near Resonance Orbiting a Nearby Cool Star
- WASP-8b: Characterization of a Cool and Eccentric Exoplanet with Spitzer
- Discovery of a Third Transiting Planet in the Kepler-47 Circumbinary System
- The Compositional Diversity of Low-Mass Exoplanets
- Numerical and Analytical Modelling of Transit Time Variations
- Architectures of Compact Super-Earth Systems Shaped by Instabilities
- Characterizing K2 Candidate Planetary Systems Orbiting Low-Mass Stars I: Classifying Low-mass Host Stars Observed During Campaigns 1-7
- The Effect of Conjunctions on the Transit Timing Variations of Exoplanets
- A Second Planet Transiting LTT 1445A and a Determination of the Masses of Both Worlds
- Plausible Compositions of the Seven TRAPPIST-1 Planets Using Long-term Dynamical Simulations
- Period Ratio Sculpting Near Second-Order Mean-Motion Resonances
- On the Utility of Transmission Color Analysis I: Differentiating Super-Earths and Sub-Neptunes