Lets leave BB King's vibrato out and go to the basics...
"A Trill is a Rapid back and forth motion useing Vibrato"
this is the classical vibrato that is used by violinsts too,
where you push the string towards the right and then you pull it to the left, is that right?
if we are ok with this lets go to the next one,
i always though that trill is what Satriani is doing at
the Fig. 3A and Fig. 3B at
http://www.guitaronemag.com/issues/0005/features/g1_f3.html
isn't that a trill?
what does that have to do with vibrato?
Peter