For smoke motors, it's impossible to use a heatsink as the tab is about 1/8" long and you need to solder to it. On the positive side, using a 650F iron, I've never killed one, and I've soldered a ton of them.
From those pictures, I'd assume the green wire is the other motor lead. Measure the voltage across them before you connect it, it should be 4-5 volts DC.