Effective Hamiltonian for the D'Alembert planetary model near a spin/orbit resonance

Celestial Mechanics and Dynamical Astronomy

Volumn 83, Issue 1-4, 2002, Pages 223-237

  Biasco, Luca ^a   Chierchia, Luigi ^b  

^a SISSA   (Italy)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

D'Alembert model; Effective Hamiltonian; Fast averaging; Hamiltonian systems; Nekhoroshev normal forms; Proper degeneracies; Spin orbit resonances; Stability

Indexed keywords

EID: 0036375804     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020151319725     Document Type: Article

References (7)

1. Arnold, V. I. (ed.): 1988, Encyclopaedia of Mathematical Sciences. Dynamical Systems III, Springer-Verlag, Vol. 3.
2. Biasco, L. and Chierchia, L.: 'Exponential stability of the D'Alembert Planetary model in the vicinity of a spin/orbit resonance', to appear.
3. Chierchia L. and Gallavotti G.: 1994, 'Drift and diffusion in phase space', Ann. Inst. Henri Poincaré Phys. Théor. 60, 1-144.
4. Chierchia L. and Gallavotti G.: 1998, 'Erratum', Ann. Inst. Henri Poincaré, Phys. Théor. 68(1), 135.
5. Gallavotti, G.: 1983, The Elements of Mechanics, Springer.
6. Nekhoroshev, N. N.: 1977, 'An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems', Russ. Math. Surv. 32(6), 5-66.
7. Pöschel, J.: 1993, 'Nekhoroshev estimates for quasi-convex Hamiltonian systems', Math. Zeitschrift 213, 187-216.