Unless they somehow “triangulated” the maintenance pings(doubtful), they wouldn’t give a heading, just time. How did they arrive at a heading towards the South Indian Ocean? (~1400 miles SW of Perth) I don’t think I read anything about how the NTSB?? arrived at a heading.
It would be at the edge of the coverage range for the second satellite, but it appears from the arcs that they must have recovered signals received by a second satellite.
Knowing the time the pings were issued (e.g., 6:11:0000, 7:11:0000, 8:11:0000) and the time the pings were received by each satellite (e.g., 6:11:0002, 7:11:0008, 8:11:0013) they can compute an approximate distance x from satellite 1 and an approximate distance y from satellite 2.
The problem is the satellites sit over the equator. Therefore there are two solutions to the problem object Z is distance x from satellite 1 and y from satellite 2. One is to the north of the equator, and one is to the south of the equator.