Issue |
A&A
Volume 439, Number 1, August III 2005
|
|
---|---|---|
Page(s) | 375 - 385 | |
Section | Celestial mechanics and astrometry | |
DOI | https://doi.org/10.1051/0004-6361:20052798 | |
Published online | 22 July 2005 |
Anomalous diffusion in the first-order Jovian resonance
1
Departamento de Física, Universidade Federal de Viçosa, Viçosa - MG, 36571-000, Brazil e-mail: cordeiro@ufv.br
2
Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte - MG, 31270-901, Brazil
Received:
31
January
2005
Accepted:
12
April
2005
A method is presented for the characterization of anomalous
diffusive processes in dynamical systems. This method is applied
to the analysis of the diffusion in some Hamiltonian systems with
special emphasis on the orbital problems. We show that the types
of diffusion processes in the borders and in the resonant regions
are common for all the studied systems. In the borders the diffusion
is governed by an initial exponential stage and
in the resonant regions the diffusion is also represented by
a power law. In the orbital problem we show that, in general, the
resonant asteroids are associated with regions where diffusive processes
for the semi-major axis and eccentricity are described by
, where σ is the standard deviation and
. The values of exponent H were determined in grids of
initial conditions in the 2:1, 3:2 and 4:3 Jovian resonances.
Key words: diffusion / minor planets asteroids
© ESO, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.