Resonances of low orders in the planetary system of HD37124

Abstract

The full set of published radial velocity data (52 measurements from Keck + 58 ones from ELODIE + 17 ones from CORALIE) for the star HD37124 is analysed. Two families of dynamically stable high-eccentricity orbital solutions for the planetary system are found. In the first one, the outer planets c and d are trapped in the 2/1 mean-motion resonance. The second family of solutions corresponds to the 5/2 mean-motion resonance between these planets. In both families, the planets are locked in (or close to) an apsidal corotation resonance. In the case of the 2/1 MMR, it is an asymmetric apsidal corotation (with the difference between the longitudes of periastra $\Delta \omega \sim 60^{\circ }$), whereas in the case of the 5/2 MMR it is a symmetric antialigned one ($\Delta \omega =180^{\circ }$). It remains also possible that the two outer planets are not trapped in an orbital resonance. Then their orbital eccentricities should be relatively small (less than, say, 0.15) and the ratio of their orbital periods is unlikely to exceed $2.3-2.5$.

28 pages, 10 figures, 3 tables; Accepted to Celestial Mechanics and Dynamical Astronomy

References in corpus (6)

• Assessing statistical significance of periodogram peaks
• The HARPS search for southern extra-solar planets. IX. mu Ara, a system with four planets
• On the extrasolar multi-planet system around HD160691
• The long-term stability of extrasolar system HD 37124. Numerical study of resonance effects
• Optimal strategies of radial velocity observations in planet search surveys
• New Solutions for the Planetary Dynamics in HD160691 using a Newtonian Model and Latest Data

Cited by in corpus (6)

• The impact of red noise in radial velocity planet searches: Only three planets orbiting GJ581?
• The HU Aqr planetary system hypothesis revisited
• The Reversibility Error Method (REM): a new, dynamical fast indicator for planetary dynamics
• Modeling Radial Velocity Data of Resonant Planets to Infer Migration Histories
• Detectability and Error Estimation in Orbital Fits
• On the orbital structure of the HD 82943 multi-planet system