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“ 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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**“Spin-orbit resonances: our Solar System in context”**Alexandre Correia (University of Aveiro / Paris Observatory) IAU Symposium 276, Turin, 14th October 2010**What is a spin-orbit resonance (SOR) ?**: rotationangle ε: obliquity φ: precessionangle**ω**What is a spin-orbit resonance (SOR) ? i: inclination : longitude of the node Ω M: mean anomaly : longitude ofthe periastron**What is a spin-orbit resonance (SOR) ?**i: inclination ε: obliquity φ: precessionangle : longitude of the node M: mean anomaly : rotationangle : longitude ofthe periastron**Capture probability**Pcap~ 7%**Irregular satellite**Wisdom, Peale & Mignard, Icarus, (1984)**Hyperion**Wisdom, Peale & Mignard, Icarus, (1984)**Cassini states**(~ 0º or ~ 180º) (0º 90º)**Saturn**Ward & Hamilton, AphJ, (2004) Bouéet al., AphJ, (2009)**Earth**Laskar & Robutel, Nature, (1993)**Venus**Correia & Laskar, Nature, (2001)**Applications to Exoplanets**Hot-Jupiters Correia & Laskar, Exoplanets Book, (2010)**Equilibrium Spinfor Super-Earths**GJ 581e Venus Arae c (aM = 0.009) (aM = 0.723) (aM = 0.101) Correia & Laskar, Exoplanets Book, (2010)**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.**“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**b=0**b small b large What is a resonance? + **Capture probability**Pcap~ 7% Goldreich & Peale, AphJ, (1966)**Cassini states**(~ 0º or ~ 180º) (0º 90º)

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