Having a bit of a problem following your logic. It could be me.
Specifically what, the benefits to extending the fuselage so that the wing and cg could also move slightly aft and still derive an extended moment arm to the tail MAC's? Or?
I decided to check the distance differences between aircraft under discussion. So far very surprising. Will have to triple check, but I'm finding some interesting figures that may color our understanding of supposed"givens".
Since both B/C/D and F share almost same lengths (32'-2.9" vs 32'-3") I've included the later. P-51H is 33'-3.25". So right off we can appreciate that total fuselage length is 12-1/4" longer than earlier types.
Sounds right on the H, although my recollection was "~13" with no precision
How about distance over spinners to 25% chord line? According NAA dimensioned 3-views: F is 130.25" while H is 139.25" and BD is133.437"
For stability comments, knowing the location of the cg relative to the MAC of the wing (and horizontal/vertical Stab mac's) is critical but we can assume for the moment that NAA engineers would keep the 25% chord/c relationship the same - assuming the new wing Moment Coefficient was the same as the D.
Distance from 25% line to rudder hinge line is most revealing: 231.063" for F. 235.500" for H and 228.11" for B/C/D.
Please double check my math. front of B/C spinner is approx 34.436" infront of Fuse. Sta. 0. 25% wing datum is located Fus.Sta.99, and rudder hinge line is at Fus. Sta.327.11 (34.436+ 99=133.436") (327.11"- 99"= 228.11" )
I get the same results
I arrived at distances between 25% and Rudder hinge lines of P-51's F&H by subtracting the over spinner to 25%, plus rudder width dimensions from the overall lengths, in inches.
I don't recall what design specific design changes were incorporated in the H tail. If the plan view of the horizontal stab/elevator is essentially the same then we can conclude that measuring to the respective hinge lines will maintain a similar relationship with 25% chord of the wing.
By my calculations the moment arm from respective 25% chord lines (which is also 25% of all M.A.C.'s and not an unreasonable common CG for calculation purposses) of the H is 7.39" farther aft than B/D. That 12.25" inches longer is not looking that effective to me. BTW- comparative lengths for P-51A is about 1/8" less than for B/C/D but all fore'aft surface locations identical.
The combination of moving the H cg aft, along with reducing fuel from 85 gallons to 50 would be very significant in removing the aft cg issue of the B/C/D for full fuel load out.
I don't know whether the Elevator mac of the H was the same as the D nut, if so, Seven + inch movement aft of the tail mac from the cg is important for pitch stability. Ditto for the H Vertical Stab/Rudder in context of improving yaw stability
I checked Gruenhagen's area charts and find them a bit confusing.Will have to sort that one out, as well. Initial production P-51H's had 75.5" tall fin. Later, added cap to 82-9/16".
Again, I see nothing in the design of the P-51H that specifically addressed the problems of the P-51B/D. It was a different design entirely athough laid out in a similar general premis. General dynamic fixes were incorporated and yet the un-anticipated directional issues of the H were addressed by a fix tried out on B/D, but not deemed important enough to fit or even retrofit, during WWII, and some 11 years later.