Second fundamental model of resonance with asymmetric equilibria

Celestial Mechanics and Dynamical Astronomy

Volumn 84, Issue 2, 2002, Pages 197-221

  Jancart, Sylvie ^a   Lemaitre, Anne ^a   Istace, Anne ^a  

^a UNIVERSITY OF NAMUR   (Belgium)

Author keywords

Asymmetric equilibria; Capture probability; Resonance; Stability

Indexed keywords

EID: 0036039282     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019973222514     Document Type: Article

References (16)

1. Beaugé, C. and Ferraz-Mello, S.: 1993, 'Resonance trapping in the primordial solar nebula: the case of a Stokes drag', Icarus 103, 301-318.
2. Beaugé, C. and Ferraz-Mello, S.: 1994, 'Capture in exterior mean motion resonances due to Poynting-Robertson drag', Icarus 110, 239-260.
3. Beaugé, C.: 1994, 'Asymmetric librations in exterior resonances', Celest. Mech. & Dyn. Astr. 60, 225-248.
4. Borderies, N. and Goldreich, P.: 1984, 'A simple derivation of capture probabilities for the j + 1:j and j + 2:j orbit-orbit resonance problems', Celest. Mech. & Dyn. Astr. 32, 127-136.
5. Coffey, L. C., Deprit, A. and Deprit, E.: 1994, 'Frozen orbits for satellite close to an Earth-like planet', Celest. Mech. & Dyn. Astr. 59, 37-72.
6. Jancart, S. and Lemaitre, A.: 2001, 'Dissipative forces and external resonances', Celest. Mech. & Dyn. Astr. 81, 75-80.
7. Henrard, J.: 1982, 'Capture into resonance: an extension of the use of the adiabatic invariants', Celest. Mech. 27, 3-22.
8. Henrard, J.: 1993. 'The Adiabatic Invariant in Classical Mechanics', Dynamics Reported, Springer Verlag, 197-218.
9. Henrard, J. and Lemaitre, A.: 1983, 'Second fundamental model of resonance', Celest. Mech. 30, 117-235.
10. Lemaitre, A.: 1984, 'High-order resonances in the restricted three-body problem', Celest. Mech. & Dyn. Astr. 32, 109-126.
11. Malhotra, R.: 1990, 'Capture probability for secondary resonances', Icarus 87, 249-264.
12. Malhotra, R.: 1995, 'The origin of Pluto's orbit: implications for the Solar system beyond Neptune', Astron. J. 110, 420-429.
13. Message, P. J.: 1958, 'The search for asymmetric periodic orbits in the restricted problem of three bodies', Astron. J. 63, 443-448.
14. Morbidelli, A., Thomas, F. and Moons, M.: 1995, 'The resonant structure of the Kuiper Belt and the dynamics of the first five trans-Neptunian objects', Icarus 118, 322-340.
15. Robutel, P. and Laskar, J.: 2000 'Frequency map and global dynamics in the solar system. I: Short period dynamics of massless particles', Icarus, in press.
16. Torbett, M. and Smoluchowski, R.: 1980, 'Sweeping of the jovian resonances and the evolution of the asteroids', Icarus 44, 722-729.