Thank you for posting my notes on the other place.
A few more notes if I may, and I ask that Mr Wadinga (if he wishes to, with any questions) post them here on Steel Navy. This will save your time and trouble.
Wadinga says he is 'perplexed', 'Standard practice at the time ...'
One of the official histories states that it was the standard practice at this period to supply bearings, with the officer afloat calculating the fixes himself.
Tovey's navigating officer had what he believed was the complete and current list of H/F D/F stations in the UK. This list was intact out of date; instead of there being five stations as he believed from his list there were in fact seven. OIC was unaware of the officer not having the full list, and this was the cause of the error in plotting the fixes and hence Tovey going off chasing shadows.
It should be noted that Tovey had to keep his mouth shut and not be Dfd on by the enemy. Later, OIC sent a second set of bearings based on further transmissions from Bismarck. This second set, also included the OICs plotting room fixes. This put things right for Tovey, who then deployed his forces accordingly.
As to whether Tovey's navigating officer had a set of Great Circle maps, IO don't know, but he would have had a set of Admiralty Pilot Charts. Even I have a set of these for the North Atlantic.
Beesly notes on page 81; that the two destroyers, Ghurka and Lance that were fitted with type FH 3 H/F D/F, and that Tovey gave this as one of the reasons why he wanted bearings only from OIC, because the intercepts from these two vessels would give him 'first class cuts'. The problem was, that the Ghurka had machinery defects and Lance had to leave to fuel. however to be of actual use in Dfing they would have had to have been within twenty miles of Bismarck. Beyond that, the FH 3 would not be able to intercept transmissions.. Several ships involved in the search were fitted with H.F D/F sets, but these are type FH 2, which was nowhere near as good as FH3. .
The story of wartime 'Y' and associated Dfing has yet to be fully told and I see it as part of the overall intelligence story. will write more a little later