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How Does Super Earths Become Detached From Resonance

How Does Super Earths Become Detached From Resonance. Bin Dai Department of Physics, Tsinghua University Supervisor: Douglas Lin. Outline. Kepler Near-Resonance Systems Type I Migration Hermit4 Result Conclusion . Why Detached Initial Radius Mass Relation Ultimate Ratio

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How Does Super Earths Become Detached From Resonance

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  1. How Does Super Earths Become Detached From Resonance Bin Dai Department of Physics, Tsinghua University Supervisor: Douglas Lin

  2. Outline • Kepler Near-Resonance Systems • Type I Migration • Hermit4 Result • Conclusion • Why Detached • Initial Radius • Mass Relation • Ultimate Ratio • Quadrupole Condition

  3. Kepler Near-Resonance Systems • Majority of Planet Pairs are not in resonance.

  4. Type I migration Tidal Perturbation Density waves (Carry Angular Momentum Flux) Evolving Density and Temperature (Zhang Xiaojia) (Feed back Effect) Type I Migration: No Feedback Effect.

  5. Type I Migration • Disk Structure Density Decreases to Zero Very Fast Truncation Radius Viscous Dominate Region Separation Radius Radiation Dominate Region (E.I.Chiangect. 1997)

  6. Type I Migration • Horseshoe Region

  7. Type I migration Fully Saturated Torque (no diffusion) Horseshoe Lindblad (Paardekooper etc. 2010) exponent of density power law exponent of temperature power law adiabatic exponent exponent of entropy power law

  8. Type I migration Unsaturated (thermal & mass diffusion) (Paardekooper etc. 2011)

  9. Hermit 4 A Typical Result

  10. Hermit 4 A Typical Result

  11. Hermit 4 A Typical Result

  12. Simulation Result Period ratio has little to do with initial radius

  13. Simulation Result Period ratio is related to planet mass Keep m_in = 9 Mearth m_in=m_out

  14. Simulation Result Ultimate Period Ratio m_in = 9 Mearth

  15. Simulation Result Ultimate Period Ratio m_in=m_out

  16. Simulation Result Ultimate Period Ratio m_in=2 m_out

  17. Simulation Result Quadrupole Condition m_in = 9 Mearth

  18. Simulation Result Quadrupole Condition m_in=2 m_out

  19. Conclusion • The later evolution has little to do with initial radius • The period ratio is related to the planet mass • Ultimate ratio is larger than resonance ratio • Ultimate ratio is related to the magnetic field

  20. Thank you!

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