Inversion of Cometary Dust Tail Images with Time-dependent Afp Constraints

Details Inversion of Cometary Dust Tail Images with Time-dependent Afp Constraints Inversion of Cometary Dust Tail Images with Time-dependent Afp Constraints

Sep 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dps....41.3713m&link_type=abstract

American Astronomical Society, DPS meeting #41, #37.13

Statistics

Computation

Scientific paper

The procedure of inverting cometary dust tail images (Fulle, A&A, 217, 283, 1989) has proved to be a powerful tool to obtain the dust emission parameters, such as the mass loss rates, the size distribution, and the grain velocities,all of them as a function of the comet heliocentric distance. This modeling technique is based on Monte Carlo computations of keplerian trajectories of a large amount of particles ejected from the nucleus surface, from which the kernel matrix A containing the model dust tail is computed. The calculation of the physical parameters above mentioned involves the solution to the overdetermined system of equations AF=I, where I is the vector whose components are the measured dust tail brightnesses, and F the output vector, from which the dust mass loss rates and the size distributions are derived. The problem is normally ill-posed, so that regularizing conditions are often added to such system of equations, in such a way that the dust mass loss rates and the size distributions vary smoothly with time. We have devised and alternative approach based on the fact that the vector solution F can be related to the Afρ quantity, for which usually a good temporal coverage is available. In this way, this relationship can be incorporated as a constraint to the system of equations, and any possible temporal changes in the cometary activity, such as outbursts, can be properly taken into account in the inverse dust tail modeling procedure. In this work we describe this technique and report on some test cases to obtain the time-dependent dust environment on several comets.

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