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I used to go to LHR twice a month from Dulles and once a month from LAX or SFO (direct as I had to go to those two cities once a month). I would eat the meal, drink red wine (three or four glasses) and read a fat book (never watched the movie as it would keep me up). Upon arrival (esp. from Dulles) I would go to the hotel and sleep two hours (no more). I'd go to work by noon and stay up as late as I could the first night. By the next day I was fine.
I didn't go coach however. That would have made it much, much harder. If you are, kill for a business class upgrade.
There is also a daily flight from IAD to LHR that leaves in the morning now. You arrive around midnight go to sleep and wake up normally the next day- no jet lag at all. Don't know if that would work for you.
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