@awblain
the number of possible routes likely isn't very large.
RichardC10 has posted that he has used computer simulation to determine that if a set of several Inmarsat arcs is available then if a constant course is assumed then two unique track can be obtained - one for each hemisphere.
http://www.pprune.org/rumours-news/5...ml#post8386704
says:
The result is that there is only one constant heading course from the last recorded radar position that matches the example set of ping arcs, that is the destination is uniquely defined by the interim and final ping arcs (if interim arcs exist). There is a (rough) mirror course in the southern hemisphere which may be hard to distinguish as the last recorded radar position was close to the equator.
I have the impression that Mr RichardC10 is cluefull.
In my view the whole post is worth a careful read.