Summary

• Additional note: The new image has been improved in quality by plotting as Postscript and then converting it to PNG, instead of using the PNG terminal of Gnuplot. The fireball diameter fit now uses a modified formula. It differs a bit from the original plot in Glasstone/Dolan (1977), but better fits the data shown in the text of the same source. The diameter formula is

${\displaystyle D(t)=2\cdot \left[\left(R_{-4}(10^{4}\,t)^{Q}\right)^{-3}+R_{\infty }^{-3}\right]^{-1/3}\$ ;\quad Q={\frac {1}{3}}\cdot \log _{10}{\frac {R_{-1}}{R_{-4}}}}

where t is the time after detonation in seconds, ${\displaystyle R_{-4}=13\,\mathrm {m} }$ (radius at 10^-4 seconds), ${\displaystyle R_{-1}=215\,\mathrm {m} }$ (radius at 10^-1 s) and ${\displaystyle R_{\infty }=236\,\mathrm {m} }$ (final radius). The fit is valid from 10^-4 seconds to a few seconds.

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