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“ Spin-orbit resonances: our Solar System in context ”

“ Spin-orbit resonances: our Solar System in context ”. Alexandre Correia. ( University of Aveiro / Paris Observatory ). IAU Symposium 276, Turin, 14 th October 2010. What is a spin -orbit resonance (SOR) ?.  : rotation angle. ε : obliquity. φ : precession angle. ω.

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“ Spin-orbit resonances: our Solar System in context ”

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  1. “Spin-orbit resonances: our Solar System in context” Alexandre Correia (University of Aveiro / Paris Observatory) IAU Symposium 276, Turin, 14th October 2010

  2. What is a spin-orbit resonance (SOR) ? : rotationangle ε: obliquity φ: precessionangle

  3. ω What is a spin-orbit resonance (SOR) ? i: inclination : longitude of the node Ω M: mean anomaly : longitude ofthe periastron

  4. What is a spin-orbit resonance (SOR) ? i: inclination ε: obliquity φ: precessionangle : longitude of the node M: mean anomaly : rotationangle : longitude ofthe periastron

  5. SOR of the 1st kind (rotation)

  6. 3/2 spin-orbit resonance (Mercury)

  7. Capture probability Pcap~ 7%

  8. Planetary perturbations

  9. Correia & Laskar, Nature, (2004)

  10. Irregular satellite Wisdom, Peale & Mignard, Icarus, (1984)

  11. Hyperion Wisdom, Peale & Mignard, Icarus, (1984)

  12. SOR of the 2nd kind (precession)

  13. SOR of the 2nd kind (precession) Ω

  14. Cassini states (~ 0º or ~ 180º) (0º  90º)

  15. Saturn Ward & Hamilton, AphJ, (2004) Bouéet al., AphJ, (2009)

  16. Planetary perturbations

  17. Earth Laskar & Robutel, Nature, (1993)

  18. Venus Correia & Laskar, Nature, (2001)

  19. Applications to Exoplanets Hot-Jupiters Correia & Laskar, Exoplanets Book, (2010)

  20. Equilibrium Spinfor Super-Earths GJ 581e Venus  Arae c (aM = 0.009) (aM = 0.723) (aM = 0.101) Correia & Laskar, Exoplanets Book, (2010)

  21. Conclusions • Hot-Jupiters are not likely to present rotation spin-orbit resonances neither high obliquity precession spin-orbit resonances. • Super-Earths tidally evolved may present rotation spin-orbit resonances, in particular when found in eccentric orbits (as Mercury). The rotation may also be chaotic as Hyperion. • Super-Earths may also present high obliquities (including retrograde configurations as Venus), or even chaotic spin orientation like Mars.

  22. “Spin-orbit resonances: our Solar System in context” (University of Aveiro) Alexandre C.M. Correia Jacques Laskar (Paris Observatory) IAU Symposium 276, Turin, 14th October 2010

  23. b=0 b small b large What is a resonance? +   

  24. What is a resonance?

  25. Capture probability Pcap~ 7%  Goldreich & Peale, AphJ, (1966)

  26. SOR of the 2nd kind (precession) Ω

  27. Cassini states (~ 0º or ~ 180º) (0º  90º)

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