At the risk of being mr obvious.....
Missiles fly or at least defy gravity through brute force....much like ( insert ugly but legendary airframe with mahhoosive engine reference of your choosing) it is surely aviation related.
With that in mind - this does not seem to another grad / home made design as it hit something smaller than the desert and possibly moving and therefore, a guided missile of some western / russian / persian / libyian origin..... any one care to venture what it might be?