So 4-5 handshakes, if one handshake gives you an arc I don't see why we wouldn't get at least an approximate path, at least north or south
A VERY approximate path and only then after making big assumptions about altitude and heading. And given that the satellite was over the equator, the two sets of 'ping arcs' mirror each other exactly so no information re. a north flight path or a south flight path can be derived.