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On a FokkerPlanck approach to asteroidal transport K.Tsiganis 1 , A.Anastasiadis 2 and H.Varvoglis 1
 

Summary: On a Fokker­Planck approach to asteroidal transport
K.Tsiganis 1 , A.Anastasiadis 2 and H.Varvoglis 1
1 Section of Astrophysics Astronomy & 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
Recent studies show that chaotic motion should be considered as the rule
rather than the exception in the asteroid belt, if the perturbations of many
planets are taken into account. Assuming that asteroids are constantly diffus­
ing away from the main belt, we may model their transport, i.e. the evolution
of a distribution of initial conditions in the action space of the respective
dynamical system, through a kinetic equation of the Fokker­Planck type. This
consists in a two­step procedure: (i) calculation of the transport coefficients
and (ii) solution of the diffusion equation, which depends critically upon the
functional form of the transport coefficients. Recent results on this subject
can be found in Varvoglis & Anastasiadis (1996) and Murray & Holman
(1997) (hereafter M&H). The latter authors performed analytical estimates
for the diffusion coefficients in mean motion resonances of the planar elliptic
restricted three body problem (ERTBP). In this note, we present preliminary
results on a numerical calculation of `local' (action­dependent) diffusion co­

  

Source: Anastasiadis, Anastasios - Institute for Space Applications and Remote Sensing, National Observatory of Athens
Varvoglis, Harry - Department of Physics, Aristotle University of Thessaloniki

 

Collections: Physics