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Luminosity

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The total luminosity at all wavelengths of the magnetar burst observed on December 27, 2006, was approximately 10^14 L. At what distance from the magnetar would the brightness of the burst have been equal to the brightness of the Sun as seen on Earth? Can you give the answer in AU and in parsecs.

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Solution Summary

Luminosity of magnetar burst is examined.

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We know that,

Luminosity = brightness x 4 pi x distance ^2

That is, Lm = Bm x 4 pi x Dm ^2, for magnetar

and Lsun = Bsun x 4pi x Dsun^2, for sun

Given that ...

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