Modeling Radial Velocity Data of Resonant Planets to Infer Migration Histories
arXiv:2005.03034 · doi:10.3847/1538-3881/aba751
Abstract
A number of giant planet pairs discovered by the radial velocity method with period ratios may reside in mean motion resonances. Convergent orbital migration and resonant capture at the time of formation would naturally explain the present-day resonant orbital configurations of these systems. Planets that experience smooth migration and eccentricity damping forces due to a proto-planetary disk should not only capture into mean motion resonances but also end up in a specific dynamical configuration within the resonance, sometimes referred to as apsidal corotation resonance (ACR). Here we develop a method for testing the hypothesis that a planet pair resides in an ACR by directly fitting radial velocity data. The ACR hypothesis strongly restricts the number of free parameters describing the radial velocity signal and we compare fits using this highly restricted model to fits using a more conventional two-planet RV model by using nested sampling simulations. We apply our method to HD 45364 and HD 33844, two systems hosting giant planet pairs in 3:2 and 5:3 resonances, respectively. We demonstrate that the observations of both systems support an ACR configuration and we use the results of our ACR model fits to constrain possible migration histories of these systems.
arXiv commentRevised in response to referee report and accepted to AJ; Code for RV fitting available online at https://github.com/shadden/ResonantPlanetPairsRVModeling
References in corpus (42)
- dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
- REBOUND: An open-source multi-purpose N-body code for collisional dynamics
- Planet-disk interaction and orbital evolution
- IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
- RadVel: The Radial Velocity Modeling Toolkit
- WHFast: A fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long term gravitational simulations
- Accurate, Empirical Radii and Masses of Planets and their Host Stars with Gaia Parallaxes
- The CORALIE survey for southern extra-solar planets. XII. Orbital solutions for 16 extra-solar planets discovered with CORALIE
- REBOUNDx: A Library for Adding Conservative and Dissipative Forces to Otherwise Symplectic N-body Integrations
- Overstable Librations can account for the Paucity of Mean Motion Resonances among Exoplanet Pairs
- Extrasolar Planets in Mean-Motion Resonance: Apses Alignment and Asymmetric Stationary Solutions
- On disc driven inward migration of resonantly coupled planets with application to the system around GJ876
- Retired A Stars and Their Companions: Eighteen New Jovian Planets
- Evolution of Planetary Systems in Resonance
- On the migration of a system of protoplanets
- Retired A Stars and Their Companions VI. A Pair of Interacting Exoplanet Pairs Around the Subgiants 24 Sextanis and HD200964
- Migration of two massive planets into (and out of) first order mean motion resonances
- Substellar-mass companions to the K-dwarf BD +14 4559 and the K-giants HD 240210 and BD +20 2457
- The California Planet Survey III. A Possible 2:1 Resonance in the Exoplanetary Triple System HD 37124
- Influence of an inner disc on the orbital evolution of massive planets migrating in resonance
- HD45364, a pair of planets in a 3:2 mean motion resonance
- The 2:1 resonant exoplanetary system orbiting HD73526
- On the 2:1 Orbital Resonance in the HD 82943 Planetary System
- A Detailed Analysis of the HD 73526 2:1 Resonant Planetary System
- Stability and Formation of the Resonant System HD 73526
- Newly-Discovered Planets Orbiting HD~5319, HD~11506, HD~75784 and HD~10442 from the N2K Consortium
- A Second Giant Planet in 3:2 Mean-Motion Resonance in the HD 204313 System
- Resonant periodic orbits in the exoplanetary systems
- Resonances of low orders in the planetary system of HD37124
- An Integrable Model for the Dynamics of Planetary Mean Motion Resonances
- Possible solution to the riddle of HD 82943 multiplanet system: the three-planet resonance 1:2:5?
- The Pan-Pacific Planet Search. IV. Two super-Jupiters in a 3:5 resonance orbiting the giant star HD33844
- The Dynamical Origin of the Multi-Planetary System HD45364
- Stability of resonant configurations during the migration of planets and constraints on disk-planet interactions
- Migration of Planets Into and Out of Mean Motion Resonances in Protoplanetary Disks: Analytical Theory of Second-Order Resonances
- Stable 1:2 Resonant Periodic Orbits in Elliptic Three-Body Systems
- Migration of Planets Into and Out of Mean Motion Resonances in Protoplanetary Discs: Overstability of Capture and Nonlinear Eccentricity Damping
- Two Jovian planets around the giant star HD202696. A growing population of packed massive planetary pairs around massive stars?
- On the orbital evolution of a pair of giant planets in mean motion resonance
- A new scenario for the origin of the 3/2 resonant system HD45364
- Resonant structure, formation and stability of the planetary system HD155358
- Precise radial velocities of giant stars XIII. A second Jupiter orbiting in 4:3 resonance in the 7 CMa system
Cited by in corpus (13)
- TOI-216: Resonant Constraints on Planet Migration
- Dynamics and Origins of the Near-Resonant Kepler Planets
- Proximity of exoplanets to first-order mean-motion resonances
- celmech: A Python package for celestial mechanics
- A general stability-driven approach for the refinement of multi-planet systems
- Detection of separatrices and chaotic seas based on orbit amplitudes
- Apsidal Alignment and Anti-Alignment of Planets in Mean-Motion Resonance: Disk-Driven Migration and Eccentricity Driving
- Periodic orbits in the 1:2:3 resonant chain and their impact on the orbital dynamics of the Kepler-51 planetary system
- exoMMR: a New Python Package to Confirm and Characterize Mean Motion Resonances
- Inferred Properties of Planets in Mean-Motion Resonances are Biased by Measurement Noise
- TOI-1438: A rare system with two short-period sub-Neptunes and a tentative long-period Jupiter-like planet orbiting a K0V star
- Influence of Modeling Assumptions on the Inferred Dynamical State of Resonant Systems: A Case Study of the HD 45364 System
- The Effects of Disk Induced Apsidal Precession on Planets Captured into Mean Motion Resonance