Sorry - no you don't. All you know is the salvo landed at approximately the correct range. The Ship may have estimated a range that is too long, with a range rate that is closing. Or vice versa. You don't know...
..... With all due respect, Warspite, I had carefully stipulated the prevailing gunnery conditions to reflect what I understood to be the original poster's experience.
No again. The inclination may be completely wrong, and producing the range rate errors above. All you know is that the combination of range, bearing, inclination (hence range rate and bearing rate if these have not been over ridden) put the shells 500m ahead of the ship. A ship can persist with an incorrect inclination for quite a long time if the spotted fall of shot keeps producing corrections in the same sense (al down or all up) and the Director crew do not pick up on it). If the range rate is +100, and the spotter keeps putting down 100 corrections on, the inclination will not necessarily be spotted as wrong (if the crew isn't on the ball)
..... You're absolutely correct that an incorrect inclination estimate can persist for a considerable period of time, because the error can only be detected and correct after the range has been approximated by bracketing or straddling the target. Before that moment, it is extremely difficult if not impossible to verify the inclination estimate by range-finder data only. But the only way that that an error in range rate or estimation could put a salvo 500 yards AHEAD of a target ship is if the target inclination was near 90 degrees. And that was not the tactical situation I laid out.
As regards errors in inclination estimates, they averaged less than 10-15 degrees. Trigonometry shows the effect of inclination error on deflection.
Assume the target bears broadside to the firing ship and is following an approximately parallel course:
> a 10 degree inclination error would produce a deflection error of < 2 pct;
> a 15 degree inclination error would produce a deflection error of < 4 pct;
> a 20 degree inclination error would produce a deflection error of 6 pct.
A 20 degree error in inclination estimate on an 18 knot target ship would effectively represent a +/- 1 knot deflection error, which is only about 11 yards. IMO error in the initial estimate of target ship speed was a far greater contributor to deflection error. Consider this for whatever it's worth: the post-Jutland RN 1916 Spotting Rules stipulated that initial double salvoes searching for deflection were to be spread laterally by only 2/3ds of target ship length.
You are assuming the only source of deflection errors is target speed estimate. As I have shown above this is not the case for the director anyway. But in addition, firing on the incorrect point of the roll can do it (wave motion can move the muzzles in any sense - usually actually a corkscrew motion which moves the muzzles in ovals,
..... No I do not. If fact, I agree with your points.
If the director is trained abeam, roll and heave will produce a vertical displacement of the cross-hairs while pitch will produce a lateral displacement. This typically produces a tall and narrow oscillation pattern
If the director is trained on a fine fore or aft bearing, roll will produce lateral displacement of the cross-hairs while pitch and heave will produce a vertical dsiplacement. This condition typically produces a short and wide oscillation pattern.
If the director is trained on bow or quarter bearing intermediate between the two above extremes, the oscillation pattern will display features midway between the two.
The precise nature of any such oscillation pattern would depend upon the severity of the sea state and the heading of the firing ship in relation to the wave front.
The worst case was firing at targets fine on bow or stern. Cross roll effects and trunnion tilt played havoc with deflection under those particular conditions - a problem not really solved until well after WW1. It was extremely difficult to place a narrow shell pattern upon a narrow aspect target - especially with the target zig-zagging or deflection chasing. A good example of this is the experience of INVINCIBLE and INFLEXIBLE at the Falklands: neither ship scored any hits at all on Von Spee's cruisers during the stern chase period of the action.
But:
[1] Out-to-out roll periods for capital ships were typically 14-15 seconds [keep in mind that a 5 degree roll was considered pretty dramatic] and director layers and trainers were well drilled to deal with roll and pitch effects. 500 yard lateral errors were IMO highly unlikely under any conditions.
[2] We are discussing Jutland - a battle fought in smooth seas.
- - -
Just to put matters in perspective, I'm not on any crusade here. And I am not trying to present myself as any sort of genius. I'm just trying to contribute to a forum related to a period of naval history in which I have had a very great and enduring interest over about 40 years. If my posts are going to upset people to the degree that they appear to be, I'll just hang back and lurk in future.
BTW, Warspite, I note that you live in Bristol. Say hello to David Manley for me.