Thinking about this, I came to the opinion that it would have made more sense if Yoda had not been around during the last parts of ROTS. That he had been beaten and watched all the Jedi been killed, and, at that point, he had pretty much given up on everything and decided to go to Dagobah not only to hide but to separate himself from the evil in the rest of the galaxy. And it was solely Obi-Wan's idea and implentation to separate the twins and watch over Luke because he still had a glimmer of hope. But after he had to sacrifice himself, Yoda, still skeptical as it seems in ESB, agreed to train Luke. That's the impression I get from watching ESB (and ROTJ), that it was Obi-Wan who was in charge of such things. Yoda's involvement in regards to Luke, Leia, and even Anakin for that matter, was never mentioned in the OT, and, based on what we saw of him, it doesn't seem like there would have been that much he did in regards to the twins.
Any thoughts?