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Military airspace is any area in which military aircraft are present and participate in a variety of activities. There are many kinds of airspace.
A military operations area (MOA) is a zone in which military aircraft conduct non-hazardous exercises. It is highly recommended that pilots check for information on the MOA before proceeding into the zone.[1]
Controlled firing zones are operated in such a way that they do not interfere with and/or pose a threat to civilian aircraft.[1]
Alert areas are zones where unusual air exercises like pilot training are performed. Once again pilots are advised to contact the area prior to entering.