Yes, I found the original explanation satisfactory after thinking on a more general level rather than looking at it in a-little-too-much detail. Sometimes, all you need is a different perspective to find an answer. Anyway thanks!
Okay, in the Escape Velocity Equation, with the usual notations,
v2=2gR2/r + (v02-2gR)
a few articles like [PLAIN]"www.math.binghamton.edu/erik/teaching/02-separable.pdf"[/URL]give the following explanation:
...
...
...(implying that v0>=√2gR)
That raises a few doubts in my mind...