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I will discuss angular momentum radiation in electromagnetism and gravitation. I will first discuss angular momentum radiation in electromagnetism, and point out some subtleties relative to energy and momentum radiation. I will then discuss a recent calculation of the angular momentum loss in gravitational binary systems to order G^2 and G^3, and to all orders in velocity. This calculation is relevant for the analysis of gravitational binary orbits being studied by LIGO and Advanced LIGO.
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