Statistics – Computation
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...171..327f&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 171, no. 1-2, Jan. 1987, p. 327-335.
Statistics
Computation
36
Comet Tails, Computational Astrophysics, Cosmic Dust, Hydrodynamics, Particle Size Distribution, Linear Equations, Periodic Variations, Time Dependence, Comets, Dust, Comet Tails, Numerical Methods, Time Dependency, Size, Distribution, Arend-Roland, Bennett, Production Rate, Fragmentation, Grains, Calculations, Parameters, Procedure
Scientific paper
The inversion of the Finson-Probstein equation is considered along with the time-dependence of the particle size distribution. By means of the new approach, it is possible to obtain two of the three unknown functions as solutions of a linear algebraic system and define a criterion of convergence toward the third unknown function. The method must be classified as an ill-posed problem because it does not provide a unique solution that depends continuously on the data. Thus, the solution is defined as the least-square fit of the oversampled linear system regularized by new smoothing equations. This approach is applied to the dust tails of two comets: Comet Arend-Roland (1957III) and Comet Bennett (1970II). The results obtained confirm the occurrence of outbursts in the dust production rate.
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