On exact solutions of diffusion equation in cometary dynamics

Details On exact solutions of diffusion equation in cometary dynamics On exact solutions of diffusion equation in cometary dynamics

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....85...77y&link_type=abstract

Astronomy and Astrophysics, vol. 85, no. 1-2, May 1980, p. 77-79.

Astronomy and Astrophysics

Astrophysics

14

Comets, Diffusion Theory, Green'S Functions, Solar System, Boundary Value Problems, Differential Equations, Laplace Transformation, Comets, Dynamics, Diffusion, Orbits, Comparisons, Long Period Comets, Mathematical Models, Analysis

Scientific paper

The paper describes diffusion of comets in energy space by an expression in terms of nu(chi,t) which is the number density of comets at time t with chi=1/alpha (alpha is the semi-major axis). Green's function and a particular solution to the equation are obtained by using Laplace transformation, under the condition that nu(0,t) = 0. The Green function makes it possible to solve the initial value problems; a particular solution to the equation is such that the problem is not fully determined. However, if physically plausible additional conditions are imposed, a unique solution can be obtained.

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