Remember the F-15C has two engine.
Its perfectly possible to turn an aircraft with just the engines different thrust setting.
You need huge turn radius and and significant higher airspeed.
Remember that Airliner whom lost all hydrolic and manage to land with only engine thrust as control surface, in Egypt or was it Jordan, all survived and the aircraft was not that much damage. It run out of runway and parked right into a minefield..lol.
Awsome handeling by the two pilots!
Today its no big deal as all the new airliners have build in safty program in the FCS, which in case of hydrolic failure, the computer uses the engine to control the Aircraft automaticly.
I think it was on the Bruce Dickensen Airliner documentry.. Great stuff!