A new approach to the FinsonProbstein method of interpreting cometary dust tails
Abstract
The inversion of the FinsonProbstein equation is considered along with the timedependence 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 illposed problem because it does not provide a unique solution that depends continuously on the data. Thus, the solution is defined as the leastsquare fit of the oversampled linear system regularized by new smoothing equations. This approach is applied to the dust tails of two comets: Comet ArendRoland (1957III) and Comet Bennett (1970II). The results obtained confirm the occurrence of outbursts in the dust production rate.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 January 1987
 Bibcode:
 1987A&A...171..327F
 Keywords:

 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;
 ARENDROLAND;
 BENNETT;
 PRODUCTION RATE;
 FRAGMENTATION;
 GRAINS;
 CALCULATIONS;
 PARAMETERS;
 PROCEDURE;
 Astrophysics; Comets