TORA limited is a new concept for me
.. you and a lot of pilots.
If one lined up a thousand pilots (who hadn't done Perf A or similar training) I venture to suggest nearly all would look blankly at the person who mentioned TORA ...
Quick, heads up brief ..
(a) ASDA tries to set it up so you can stop on the hard stuff if it all turns to custard on the initial part of the journey
(b) TORA tries to get you off the hard stuff BEFORE the end of it - we try not to run on into the mud in the overrun before liftoff (except, occasionally, on 27 at MEL)
(c) TODA tries to get you over the fence (trees, whatever) without hitting it (them)
All of the above can look at the AEO or OEI cases.
My use of "tries" is intentional. There are no guarantees with this stuff in the limiting case .. but the probability of success, as demonstrated by the history, is pretty high.