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I was aboard NCL Crown on her Cape Horn cruise in December last year. She did a day excursion from her Punta Arenas port stop that lasted 12 hours, including flights there and back, for $2000. Alternatively there are ships like Orient Lines Marco Polo, Norwegian Coastal Voyages vessels 'Nordnorge' and 'Nordkapp' which go to Antartica as part of their sailing itinerary due to being full ice-breakers. They are a bit more expensive but if you want to spend more than a few hours at Antarctica, then they might be good alternatives for you. If you go to the cruise line section here, type in any of the 3 names of ships I have quoted, you will find profiles of them, including cabin details etc. Any further questions, just ask and I will try to be of help. 
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