Abstract

We present analytical and numerical models of the bright long GRB 210822A at z=1.736z=1.736. The intrinsic extreme brightness exhibited in the optical, which is very similar to other bright GRBs (e.g., GRBs 080319B, 130427A, 160625A 190114C, and 221009A), makes GRB 210822A an ideal case for studying the evolution of this particular kind of GRB. We use optical data from the RATIR instrument starting at T+315.9T+315.9 s, with publicly available optical data from other ground-based observatories, as well as X-ray data from the Swift/X-ray Telescope (XRT) and data from the Swift/Ultraviolet/Optical Telescope (UVOT). The temporal profiles and spectral properties during the late stages align consistently with the conventional forward shock model, complemented by a reverse shock element that dominates optical emissions during the initial phases (T<300T<300 s). Furthermore, we observe a break at T=80000T=80000 s that we interpreted as evidence of a jet break, which constrains the opening angle to be about θj=(35)\theta_\mathrm{j}=(3-5) degrees. Finally, we apply a machine-learning technique to model the multi-wavelength light curve of GRB 210822A using the AFTERGLOWPY library. We estimate the angle of sight θobs=(6.4±0.1)×101\theta_{obs}=(6.4 \pm 0.1) \times 10^{-1} degrees, the energy E0=(7.9±1.6)×1053E_0= (7.9 \pm 1.6)\times 10^{53} ergs, the electron index p=2.54±0.10p=2.54 \pm 0.10, the thermal energy fraction in electrons ϵe=(4.63±0.91)×105\epsilon_e=(4.63 \pm 0.91) \times 10^{-5} and in the magnetic field ϵB=(8.66±1.01)×106\epsilon_B= (8.66 \pm 1.01) \times 10^{-6}, the efficiency χ=0.89±0.01\chi = 0.89 \pm 0.01, and the density of the surrounding medium n0=0.85±0.01n_\mathrm{0} = 0.85 \pm 0.01.Comment: Submitted to MNRAS, 11 pages, 6 figures. Fixed typo

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