Short Burst Energetics and Recurrence in Magnetar Active Episodes: Episode Totals Against the Stored Magnetic Energy

Between the giant flares, magnetars speak in short bursts: spikes lasting a tenth of a second, repeating tens or hundreds of times when a source enters an active episode. Individually modest, the bursts accumulate, and the accumulated total over an episode is a budget that the stored field must meet just as surely as a single large event must. Working from published values for the sources concerned, this paper computes the relevant quantities under one stated set of conventions and compares them source by source. Headline results: largest episode total source SGR 1806-20; largest episode total erg 1.0e+43; largest episode fraction of reservoir 6.45e-03; highest burst rate per day 60.0; brightest single burst erg 1.0e+43. The comparisons are budget statements: they establish whether the energies, stresses, powers and timescales involved are mutually consistent, and by what margin. Every number quoted is produced by the deposited compute.py script from the stated inputs, and the full per-source record is deposited as results.json alongside the text.