Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Similar presentations


Presentation on theme: "“Spin-orbit resonances: our Solar System in context” Alexandre Correia (University of Aveiro / Paris Observatory) IAU Symposium 276, Turin, 14 th October."— Presentation transcript:

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

2 What is a spin-orbit resonance (SOR) ?  : rotation angle ε: obliquity φ: precession angle

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

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

5 SOR of the 1 st kind (rotation)

6 3/2 spin-orbit resonance (Mercury)

7 Capture probability P cap ~ 7%

8 Planetary perturbations

9 Correia & Laskar, Nature, (2004)

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

11 Hyperion

12 SOR of the 2 nd kind (precession)

13 Ω

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

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

16 Planetary perturbations

17 Earth Laskar & Robutel, Nature, (1993)

18 Venus Correia & Laskar, Nature, (2001)

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

20 Equilibrium Spin for Super-Earths Venus (aM = 0.723) GJ 581e (aM = 0.009)  Arae c (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” Alexandre C.M. Correia (University of Aveiro) IAU Symposium 276, Turin, 14 th October 2010 Jacques Laskar (Paris Observatory)

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

24 What is a resonance?

25 Capture probability Goldreich & Peale, AphJ, (1966) P cap ~ 7% 

26 SOR of the 2 nd kind (precession) Ω

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


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

Similar presentations


Ads by Google