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We present results of model fits to afterglow data sets of GRB970508,GRB980703 and GRB070125, characterized by long and broadband coverage. Themodel assumes synchrotron radiation (including self-absorption) from aspherical adiabatic blast wave and consists of analytic flux prescriptionsbased on numerical results. For the first time it combines the accuracy ofhydrodynamic simulations through different stages of the outflow dynamics withthe flexibility of simple heuristic formulas. The prescriptions are especiallygeared towards accurate description of the dynamical transition of the outflowfrom relativistic to Newtonian velocities in an arbitrary power-law densityenvironment. We show that the spherical model can accurately describe the dataonly in the case of GRB970508, for which we find a circumburst medium densityconsistent with a stellar wind. We investigate in detail the implied spectraand physical parameters of that burst. For the microphysics we show evidencefor equipartition between the fraction of energy density carried byrelativistic electrons and magnetic field. We also find that for the blast waveto be adiabatic, the fraction of electrons accelerated at the shock has to besmaller than 1. We present best-fit parameters for the afterglows of all threebursts, including uncertainties in the parameters of GRB970508, and compare theinferred values to those obtained by different authors.

Applying an accurate spherical model to gamma-ray burst afterglow observations