Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T17:36:14.711Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Hecuba gap

Published online by Cambridge University Press:  25 May 2016

S. Ferraz-Mello
S. Ferraz-Mello*
Affiliation:
Instituto Astronômico e Geofísico, Universidade de São Paulo, Caixa Postal 9638, 01065-São Paulo, SP, Brasil. sylvio@vax.iagusp.usp.br

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An asteroid captured in the Hecuba gap (2/1 resonance with Jupiter) may remain there for a long time before escaping. However, the study of the diffusion of orbits in the gap indicates an escape timescale in the range 107–109 years. The short-period perturbations of Jupiter's orbit play a determinant role in the creation of the stochasticity responsible for the escape.

Type
Part IV - Asteroids: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 177 - 182
Copyright
Copyright © Kluwer 1996 

References

Ferraz-Mello, S.: 1994a, “The convergence domain of the Laplacian expansion of the disturbing function”. Celest. Mech. Dyn. Astron. 58, 37–52.Google Scholar
Ferraz-Mello, S.: 1994b, “Dynamics of the 2:1 asteroidal resonance”. Astron. J. 108, 2330–2337.CrossRefGoogle Scholar
Ferraz-Mello, S., Dvorak, R. & Michtchenko, T.A. (1994). “Chaos and the depletion of asteroids in resonant orbits”, In From Newton to Chaos, (Roy, A.E. and Steves, B., eds.) Plenum Press, New York, pp. 157–169 Google Scholar
Ferraz-Mello, S. and Sato, M. 1989, “A very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order”. Astron. Astrophys. 225, 541–547.Google Scholar
Franklin, F. (1994). “An examination of the relation between chaotic orbits and the Kirkwood gap at the 2:1 resonance” Astron. J. 107, 1890.Google Scholar
Hadjidemetriou, J.D.: 1988, “Algebraic mappings near a resonance with an application to asteroid motion”. In Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems (Roy, A.E., ed.), Kluwer, Dordrecht, 257–276.CrossRefGoogle Scholar
Hadjidemetriou, J.D.: 1991, “Mapping models for Hamiltonian systems with applications to resonant asteroid motion”. In Predictability, Stability and Chaos in N-Body Dynamical Systems (Roy, A.E., ed.), Plenum Press, New York, 157–175.CrossRefGoogle Scholar
Henrard, J., Watanabe, N. and Moons, M.: 1995, “A bridge between secondary resonances and secular resonances inside the Hecuba gap”. Icarus 115, 336–346.Google Scholar
Morbidelli, A. and Moons, M.: 1993, “Secular resonances in the mean motion commensurabilities: The 2/1 and 3/2 cases”. Icarus 102, 316–332.CrossRefGoogle Scholar
Nobili, A.M., Milani, A. and Carpino, M.: 1989, “Fundamental frequencies and small divisors in the orbits of the outer planets”. Astron. Astrophys. 210, 313–336.Google Scholar
Simon, J.L. and Bretagnon, P.: 1975, “Results of first-order perturbations of the four large planets” Astron. Astrophys. Suppl. 22, 107–160.Google Scholar