Mathematics – Probability
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003kfnt...19..501a&link_type=abstract
Kinematika i Fizika Nebesnykh Tel, vol. 19, no. 6, p. 501-513
Mathematics
Probability
Scientific paper
We performed a simulation of trajectories of sizable dust grains with consideration for two specific points found on phase plane of cm-sized dust particles in our previous investigation (Andrienko D. A., Mishchishina I. I. The possibility of stable location of dust grains in a comet atmosphere // Kinematika i fizika nebesnykh tel.--2003.--19, N 2.--P. 138--158). The specific points correspond to positions of equilibrium, one point located further from the nucleus corresponding to stable equilibrium. The possibility of the capture of dust particles in the zone of stable equilibrium points is established on the basis of hydrodynamical modelling of spherically symmetric gas flow with consideration for Knudsen boundary layer of a cometary nucleus. We derived estimations of parameters (the sizes and initial speed) of dust particles which can be accumulated, the estimations depending on heliocentric distance of a comet. However, the probability of the process of ballistics accumulation is low in the stationary atmosphere of a comet. A qualitative analysis of the action of atmosphere dynamical properties on trajectories of sizable dust grains having two specific points is carried out by the method of stage-by-stage consideration. We inferred that the probability of the capture of sizable dust particles and of their accumulation in the stable equilibrium zone increased in this case. Parameters of dust particles being captured and the accumulation rate depend on physical and chemical properties of the nucleus and on an orbit of a comet.
Andrienko D. A.
Mishchishina I. I.
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