When I went to Japan, I'd land at 9am local time, which was 1am body time. So I was already "up late", having done two flights starting at 10am - on which I have no chance of sleeping - and then had a whole day ahead of me. I went 4 times, and all of them I was asleep by 7pm on that first day. You feel pretty grim for the first day or so but you quickly recover after that once you're acting in cycle with the local times, and most importantly, the daylight cycle there.