How can I remove stains from marble top table?

Regular commercial "cleaners" don't phase these rings from drink glasses that have accumulated over the past several years on my antique marble top table. Is there a chemical that will remove the rings or does the whole top need to be "sanded" off?
Pat Arends, February 2006


done
i have the same problem i tried everything to no avail, please let me know if you find an answer. thanks

jang, April 2007