Instead of using a orbital buffing machine. Use a Dremel tool to do the job. Also get a Cleaning/Polishing Set (model 684) from Dremel to buff up the DVD. I paid about 15 bucks for the Cleaning/Polishing Set. The Dremel is around 19 bucks (battery operated) from Walmart. Also get a 3M Automotive Sandpaper 2000 grits. All these supplies are from Walmart. Here's the instruction:
1. Wet the DVD/CD with water. This will help preserve the sand paper.
2. Use the sand paper to remove the scratches. Sand in the in/outward motion from the center of the disk instead of circular motion.
3. Dry the DVD.
4. Don't use any polish or anything (when buffing) because it may contain abrasives. Attach a buffing pad (from the kit : 414) to the Dremel tool. Buff the disk in the in/outward motion (rapidly) from the center of the disk instead of circular motion. Notice I have mentioned rapidly. If you don't do this, there will be too much heat and it will burn your disk!
After you're done, the disk looks brand spanking new! You may have to pratice on a unused disk before attempting the above steps because you can damage your disk if you're not skilled.