ok, I think I have some more info, my MBP 1.5 years old was having the battery lost performance and the random shut downs, before Snow Leopard was having a good couple of hours work with no problems.
I went today to the Apple store, and got a new replacement battery with no problems, and didn't have to pay a penny, even if out of the warranty year, it depends of the battery I think, but if battery is less than two years, and has not reach a maximum number of cycles (not sure the number but mine was about 80 cycles) you are likely to get a new replacement for free.
But there is more, I think, as someone else already posted on the forum, I think I know the reason of the shut downs and lost of performance, I only realised today, went I brought the laptop to the store, I realised my battery wasn't completely flat on the back of the laptop, like if it were swollen, and like it could move slightly when inserted, never realised before, and I can't double check because they kept my old battery.
So what I think is, Snow Leopard may use extensively the battery, or may manage it differently, even it may be a compatibility problem with that model of battery and Snow Leopard, but somehow, my theory is, battery was used extensively more or wrongly with Snow Leopard, hence the lack of performance, and getting hot, hence the swollen and because this the bad contact between the battery and computer and the random shut downs.
But that's just theory, now I have a new battery and I am worried it could happen again, so not sure if just remove it and keep it safe and run plugged until there is a resolution for this issue.
Jose.
PD: sorry, still reluctant to think is just a physical problem or defective battery, it must be SL, too much coincidence, too many people having same issue at same time...