You simply do not even understand the problem.
No place on this thread to educate you.
The plane most certainly did not travel along either of those arcs.
Fine, but you don’t understand the calculation of the arc. It’s a single arc actually. I have no idea why the discontinuity in the center. According to the original description, the ping at each hour plus 11 minutes could be used to calculate how far the plane was from the satellite’s location.
The plane was located on the 8:11 arc at 8:11, but where on the arc, and what direction it was moving cannot be determined from the pinging of the satellite, just the distance.