For me, the chills come there - and when the lander begins re-entry as the "she turns me on" phrase ends. Then the goose-bumps increase the music grows defiant as the little hunk of human ingenuity plummets through the alien world's atmosphere.
I read somewhere back in the day (when viral videos still made the news) that he trimmed the original video a bit to make it fit. (Necroed for future cyber denizens. Hopefully something better than the now decrepit Google will help you find further information. 😉)