LAN has a bit of competition on its hands because you can also fly to Mount Pleasant from RAF Brize Norton via Ascension with the Royal Air Force presumably on a Tri Star.

http://www.raf.mod.uk/rafbrizenorton...info/index.cfm

They even give you a PNR but I have no idea it is booked, the RAF really needs to up its online strategy if it is looking to pick up casual holidaymakers. The website is an <redacted>.

Wonder if you can redeem BA miles on that route.