This paper deals with the analysis of a new class of models of population dynamics with kinetic interactions. The content is essentially methodological and is organized in two parts. The first one refers to modeling in the framework of the so-called generalized kinetic (Boltzmann) models. The second
Modeling of cometary evolution by kinetic theory: Method and first results
β Scribed by Marek Banaszkiewicz; Hans Rickman
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 557 KB
- Volume
- 72
- Category
- Article
- ISSN
- 1573-0794
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β¦ Synopsis
Physical evolution of Jupiter family (JF) comets is considered as a simulta- neous process of erosion and fading. Dynamical effects are limited to discrete changes of the perihelion distance, that result in changes of the evaporation rate. Assuming that the JF comet population is in a steady state, a distribution function of this population in the two dimensional phase space consisting of radius and active fraction of the nucleus surface is found as the solution of a set of kinetic equations, each one of them for a dilferent perihelion distance. With use of the distribution function some stat,istical properties of the comet population, like the total number of comets in the considered region of the phase space, the number of objects that evaporate or get dormant per unit time, etc., are obtained.
The cumulative distribution function with respect to the absolute brightness is calculated and compared with the observed one as a check on the considered models.
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