# Light from a nuclear explosion in space

If someone detonates a one megaton nuclear bomb in space, how far will it be visible to the naked eye? Of course, I am aware that there is no medium in space that can glow, so all the light would come from the bomb itself. In any case, a significant part of the energy is emitted at frequencies that are invisible to the eye. If I stand in a good vantage point and look in the right direction, can I see, say, a bomb exploding in the distance of Jupiter? In astronomical terms, I use 6 magnitudes as a limit for visibility.

Assume the entire mass of the devices is heated with the energy from the yield in 10-100 nanoseconds.

Estimate a temperature and assume it's a blackbody. The size is that of the initial device.

Use Planck Law to compute the radiances (Watts per square meter per steradian per hertz), convert that to the wayward SI base unit: The Candela (luminous intensity).

Use Stephan Boltzmann's law to compute the temperature derivative with respect to time, and average the result over a human eye integration time.