What is the effect of thrust vectoring effect on the rate of turn?
The standard equation applies to any coordinated level turn (so that the G felt is &quot;straight down&quot; to an occupant of the aircraft, in an aircraft frame of reference). Matters not how it's all achieved - flaps, high-lift devices, helo rotor, thrust vectoring, whatever... a coordinated level turn at &quot;this&quot; bank will take &quot;this&quot; much radius. And it will have a calculable G load.
Actually achieving (and sustaining) that G load may take all sorts of interesting effects, such as thrust vectoring. But once you're there, the standard equations apply.
And, if you choose to fly an un-coordinated turn, with some amount of side-loaded G force (example, a car turning at high speed... no appreciable &quot;bank angle&quot; so the G force pushes you toward the outside of the turn), then all the standard assumptions are out the window. At that point, your radius would be a function of G &amp; not bank... and it'd get uncomfortable really fast!