I dunno...the quoted 12.800 miles at which he lost the watch is still well below geosychronous orbit altitude, so nowhere near high enough for the sun’s gravitation pull to win, methinks. I believe GPS satellites operate at approximately 13k miles, and they don’t seem to be going to the Sun according to my satnav.
Still, due to atmospheric drag the orbit would probably decay and our hypothetical Speedy would would have surely burnt up on re-entry. Happy to stand corrected on any of this by someone with actual knowledge of these things
[EDIT] Ah, you mean that the watch would have a high speed in a direction away from earth upon being 'lost'. That's a good point, I think.
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