Traditional formation scenarios fail to explain 4:3 mean motion resonances
Article first published online: 11 SEP 2012
© 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS
Monthly Notices of the Royal Astronomical Society
Volume 426, Issue 1, pages 187–202, 11 October 2012
How to Cite
Rein, H., Payne, M. J., Veras, D. and Ford, E. B. (2012), Traditional formation scenarios fail to explain 4:3 mean motion resonances. Monthly Notices of the Royal Astronomical Society, 426: 187–202. doi: 10.1111/j.1365-2966.2012.21798.x
- Issue published online: 11 SEP 2012
- Article first published online: 11 SEP 2012
- Manuscript Accepted: 25 JUL 2012
- Manuscript Received: 1 JUL 2012
- NSF. Grant Numbers: AST-0807444, AST-0707203
- NASA Origins of solar systems. Grant Number: NNX09AB35G
- methods: analytical;
- methods: numerical;
- planets and satellites: formation
At least two multi-planetary systems in a 4:3 mean motion resonance have been found by radial velocity surveys.1 These planets are gas giants and the systems are only stable when protected by a resonance. Additionally the Kepler mission has detected at least four strong candidate planetary systems with a period ratio close to 4:3.
This paper investigates traditional dynamical scenarios for the formation of these systems. We systematically study migration scenarios with both N-body and hydrodynamic simulations. We investigate scenarios involving the in situ formation of two planets in resonance. We look at the results from finely tuned planet–planet scattering simulations with gas disc damping. Finally, we investigate a formation scenario involving isolation-mass embryos.
Although the combined planet–planet scattering and damping scenario seems promising, none of the above scenarios is successful in forming enough systems in 4:3 resonance with planetary masses similar to the observed ones. This is a negative result but it has important implications for planet formation. Previous studies were successful in forming 2:1 and 3:2 resonances. This is generally believed to be evidence of planet migration. We highlight the main differences between those studies and our failure in forming a 4:3 resonance. We also speculate on more exotic and complicated ideas. These results will guide future investigators towards exploring the above scenarios and alternative mechanisms in a more general framework.