Abstract
The phase spaces of both 3/2 and 2/1 mean motion asteroidal resonances were studied by means of numerical integration and Fourier and wavelet analyses. The measurement of the proper asteroidal frequencies allowed to construct the webs of the inner resonances (secular, secondary and Kozai resonances) on the (a,e)-planes representing the phase space of each resonance. A comparison between the 3/2 and 2/1 resonances reveals qualitative similarities, which are due to their common first order resonance character. However, differences were also detected and seem to originate the opposite distribution characteristics of both mean motion resonances: the existence of the Hilda group inside the 3/2 resonance and the existence of the Hecuba gap associated with the 2/1 resonance.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bowell, E., Muinonen, K., Wasserman, L.H: 1994, “A public-domain asteroid orbit database”, In Asteroids, Comets, Meteors, edited by A. Milani et al. 477–481.
Ferraz-Mello, S., Michtchenko, T.A., Nesvorný, D., Roig, F. & Simula, A.: 1997, “The depletion of the Hecuba gap vs. the long lasting Hilda group”, (submitted).
Ferraz-Mello, S., Michtchenko, T.A. & Roig, F.: 1998, “The determinant role of Jupiter’s Great Inequality in the depletion of the Hecuba gap”, (submitted).
Michtchenko, T.A. & Ferraz-Mello, S.: 1997, “Escape of asteroids from Hecuba gap”, Planet. Space Sci. (in press).
Morbidelli, A. and Moons, M.: 1993, “Secular resonances in mean-motion commensurabilities. The 2/1 and 3/2 cases”. Icarus 102, 316–332.
Tennyson, J.: 1982, “Resonant transport in near-integrable systems with many degrees of freedom”, Physica 5D, 123–135.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Michtchenko, T.A., Ferraz-Mello, S. (1999). On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonances. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_5
Download citation
DOI: https://doi.org/10.1007/978-94-015-9221-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5133-2
Online ISBN: 978-94-015-9221-5
eBook Packages: Springer Book Archive