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Transport in the outer asteroid belt: Fokker-Planck approach vs. numerical integration* K. Tsiganis1
 

Summary: Transport in the outer asteroid belt: Fokker-Planck approach vs. numerical integration*
K. Tsiganis1
, A. Anastasiadis2
and H. Varvoglis1
1
Section of Astrophysics, Astronomy and Mechanics, Department of Physics,
University of Thessaloniki, 540 06 Thessaloniki, Greece
2
Institute for Space Applications and Remote Sensing, National Observatory of Athens,
152 36 P. Penteli, Greece
KEY WORDS Asteroids, Hamiltonian chaos, Diffusion, Celestial mechanics
ABSTRACT
In this paper we examine the statistical properties of transport, for orbits of fictitious asteroids
initiated in three outer-belt resonances: the 7:4, 9:5 and 12:7 mean motion resonances of the 2-D
elliptic restricted three-body problem. Two alternative approaches are used: (i) numerical
integration of distributions of initial conditions and (ii) simulation of the diffusion of the
eccentricity-related action, through the numerical solution of a 1-D Fokker-Planck equation. The
diffusion coefficient, D, is determined numerically, using the definition of "local transport
coefficients". The statistical results of (i) and (ii) are compared. Qualitative agreement - and even
quantitative in some cases - between the two approaches is found. For the improvement of the

  

Source: Anastasiadis, Anastasios - Institute for Space Applications and Remote Sensing, National Observatory of Athens

 

Collections: Physics