The probem I have with this whole premise:
I see two scenarios: an incapacitated crew (likely, in my opinion), or a hijacking. (Unlikely, in my view).
For an incapacitated crew, if the controls of a 777 are released, IIRC, it rolls out and flies in a straight line.
If it were hijacked, it would take a lot of skill to fly it on an arc that just happens to stay a constant distance fom a satellite. Even if you knew the point over the Indian ocean that was the satellite's lcation, there is no way to do "turns about a point" using the navigation system....I think its maximum "arc" you can program is about 800 nm. I flew arcs in the military; airline pilots (and hijackers) generally do not, and wouldn't be very proficient at it.
If it were an incapacitated crew and it was on autopilot, same thing: it would follow the route programmed; same improbabilities as a hijacking.
Personally, I believe it flew in a straight line after crew incapacitation, and crashed near where they found the flaperon. Some minor thing has been overlooked in the satellite-ping theory that would prove it a red herring.
My theory, at least.