Comparative study of the 2:3 and 3:4 resonant motion with Neptune: An application of symplectic mappings and low frequency analysis

Celestial Mechanics and Dynamical Astronomy

Volumn 88, Issue 4, 2004, Pages 343-363

  Kotoulas, T ^a   Voyatzis, G ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Edgeworth Kuiper belt; Power spectrum; Symplectic mappings

Indexed keywords

EID: 4043135168     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:CELE.0000023391.85690.31     Document Type: Article

References (38)

1. Chiang, E. I. and Jordan, A. B.: 2002, 'On the Plutinos and Twotinos of the Kuiper belt', A. J. 124, 3430-3444.
2. Collander-Brown, S. J., Melita, M. D., Williams, I. P. and Fitzsimmons, A.: 2003, 'The plane of the EKB belt', Icarus 162, 22-26.
3. Duncan, M. J., Quinn, T. R. and Tremaine, S.: 1988, 'The origin of short-period comets', ApJ. 328, L69-L73.
4. Duncan, M. J., Levison, H. F. and Budd, S. M.: 1995, 'The dynamical structure of the Kuiper belt', Astron. J. 110, 3073-3081.
5. Ferraz-Mello, S.: 1994, 'The convergence domain of the Laplacian expansion of the disturbing function', Cel. Mech. Dyn. Astr. 58, 37-52.
6. Friedland, L.: 2001, 'Migration timescale thresholds for resonant capture in the Plutino problem', ApJ. 547, L75-L79.
7. Froeschlé, Cl., Gonczi, R. and Lega, E.: 1997, 'The fast Lyapunov indicator: a simple tool to detect weak chaos', Planet. Space Sci. 45, 881-886.
8. Gallardo, T. and Ferraz-Mello, S.: 1997, 'Understanding libration via time-frequency analysis', Astron. J. 113(2), 862-869.
9. Gallardo, T. and Ferraz-Mello, S.: 1998, 'Dynamics of the 2:3 exterior resonance with Neptune', Planet Space Sci. 46, 945-965.
10. Gomes, R. S.: 2003, 'The origin of the KB high-inclination population', Icarus 161, 404-418.
11. Goździewski, K., Bois, E., Maciejewski, A. J. and Kiseleva-Eggleton, L.: 1991, 'Global dynamics of planetary systems with the MEGNO criterion', Astron. Astroph. 378, 569-586.
12. Hadjidemetriou, J. D.: 1998, 'Symplectic maps and their use in celestial mechanics'. In: D. Benest and C. Froeschlé (eds), Analysis and Modelling of Discrete Dynamical Systems, Gordon & Breach, The Netherlands.
13. Hadjifotinou, K. G. and Hadjidemetriou, J. D.: 2002, 'A symplectic mapping model for the study of 2:3 resonant trans-Neptunian motion', Cel. Mech. Dyn. Astr. 84, 135-157.
14. Jewitt, D.: 1999, 'Kuiper belt objects', Annu. Rev. Planet. Sci. 27, 287-312.
15. Knežević, Z., Milani, A., Farinella, P., Froeschlé, Ch. and Froeschlé, C.: 1991, Secular resonances from 2 to 50 AU, Icarus 93, 316-330.
16. Kotoulas, T. A. and Hadjidemetriou, J. D.: 2002, 'Resonant periodic orbits of trans-Neptunian objects', Earth Moon Planets 91, 63-93.
17. Kotoulas, T. A. and Hadjidemetriou, J. D.: 2003, 'Dynamical evolution of trans-Neptunian objects near the 3/4 resonance', Earth Moon Planets (submitted).
18. Laskar, J.: 1993, 'Frequency analysis for multidimensional systems. Global dynamics and diffusion', Phy. D, 67, 257-281.
19. Malhotra, R.: 1996, 'The phase space near Neptune resonances in the Kuiper Belt', Astron. J. 111(1), 504-516.
20. Melita, M. D. and Brunini, A.: 2000, 'Comparative study of mean-motion resonances in the trans-Neptunian region', Icarus 147, 205-219.
21. Michtchenko, T. and Ferraz-Mello, S.: 1995, 'Comparative study of the asteroidal motion in the 3/2 and 2/1 resonances', Astron. Astrophys. 303, 945-963.
22. Michtchenko, T. and Ferraz-Mello, S.: 2001, 'Resonant structure of the outer solar system in the neigbourhood of the planets', Astron. J. 122, 474-481.
23. Milani, A. and Nobili, A.: 1992, 'An example of stable chaos in the solar system', Nature, 357, 569-571.
24. Morbidelli, A.: 1997, 'Chaotic diffusion and the origin of comets from the 2/3 resonance in the Kuiper belt', Icarus 127, 1-12.
25. Morbidelli, A.: 1999, 'An overview on the Kuiper belt and on the origin of Jupiter-family comets', Cel. Mech. Dyn. Astr. 72, 129-156.
26. Morbidelli, A., Thomas, F. and Moons, M.: 1995, 'The resonance structure of the Kuiper belt and the dynamics of the first five trans-Neptunian objects', Icarus 118, 322-340.
27. Murray, S. D. and Dermott, S. F.: 1999, Solar System Dynamics, Cambridge University Press.
28. Nesvorný, D. and Ferraz-Mello, S.: 1997, 'On the asteroidal population of the first-order Jovian resonances', Icarus 130, 247-258.
29. Nesvorný, D. and Roig, F.: 2000, 'Mean motion resonances in the trans-neptunian region, I. The 2/3 resonance with Neptune', Icarus 148, 282-300.
30. Nesvorný, D. and Roig F.: 2001, 'Mean motion resonances in the trans-neptunian region, II. The 1/2, 3/4 and weaker resonances', Icarus 150, 104-123.
31. Powell, G. E. and Persival, I. C.: 1979, 'A spectral method for distinguishing regular and irregular motion in Hamiltonian systems', J. Phys. A: Math. Gen. 12, 2053-2071.
32. Press, T. R., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P.: 1992, Numerical Recipes in C, Cambridge University Press, UK.
33. Quinn, T. R., Tremaine, S. and Duncan, M. J.: 1990, 'Planetary perturbations and the origins of short-period comets', ApJ. 335, 667-679.
34. Robutel, P. and Laskar, J.: 2001, 'Frequency map and global dynamics in the solar system', Icarus 152, 4-28.
35. Šidlichovský, M.: 1991, 'Tables of the disturbing function for resonant asteroids', Bull. Astron. Inst. Czechosl. 42, 116-123.
36. Šidlichovský, M. and Nesvorný, D.: 1997, 'Frequency modified Fourier transform and its application to asteroids', Cel. Mech. Dyn. Astr. 67, 137-148.
37. Voyatzis, G. and Ichtiaroglou, S.: 1992, 'On the spectral analysis of trajectories in Hamiltonian systems', J. Phys. A: Math. Gen. 25, 5931-5943.
38. Yu, Q. and Tremaine, S.: 1999, 'The dynamics of Plutinos', Astron. J. 118, 1873-1881.