It’s discouraging to see how many people believe that modern
fire control systems guarantee unerring accuracy. I’ve seen claims that the Oto Melara 76 mm only
needs three rounds per engagement against anti-ship missiles. That’s absurd! When the head of Oto Melara, in a live fire
test, agrees to stand on a target protected by one of his guns that has only
three rounds in the magazine, I’ll begin to believe the claim.
So many people seem to think that modern guns can’t miss. I guess this is an example of a little bit of
knowledge being a dangerous thing.
People understand just enough about computers to know that we can write
a program that predicts where a round should go to impact/intercept the target
and they assume that the program can’t be wrong, therefore, the shot must hit
with unfailing accuracy.
Reality, however, is much different. Yes, a program can make a prediction – that’s
just simple mathematics and that’s child’s play. What the program can’t do is account for the
hundreds of factors that actually affect the accuracy of a naval gun. Let’s briefly consider some of the more
obvious factors:
Stabilization – One
of the most blatantly incorrect beliefs among naval observers is the myth of
stabilization. People forget that both
the firing platform and the target are continuously pitching and
rolling, among other movements. Yes, we
have stabilization (of the firing platform, not the target!) but
stabilization is not even remotely perfect.
The guns are large, heavy chunks of steel and have inertia. Just because the stabilizer computer signals
the gun to move doesn’t mean it can instantaneously accomplish that
movement. There is a lag and in the
world of micro-deviations (we’ll address that shortly), which is what we’re
discussing, that’s a problem.
Stabilization is a gross phenomenon, not a micro phenomenon and it does
not, indeed cannot, assure accuracy – it just reduces gross inaccuracy.
Let’s consider some other common factors that impact
accuracy:
What program has the slightest hope of accurately modeling
those factors especially since we have no means of measuring most of them other
than in the grossest sense?
Deviations
So, we’ve now acknowledged that there are too many factors
that impact accuracy for us to account for all of them and we lack the sensors
to do so even if we could program them into the fire control algorithm. But, you say, the deviations are minor. Well, let’s examine the magnitude of the
effect of the cumulative ‘minor’ deviations.
Projecting a straight line from the shell in the barrel,
waiting to be fired, to the predicted intercept point, gives us a travel path
that we think/hope will meet the target.
Any deviation will cause an angular change from the predicted travel
path. That angular deviation can be
considered in degrees. If the shell
perfectly follows the predicted path, that would be 0 degrees deviation. If the shell were to, ridiculously, take an
immediate right angle turn off the predicted path, that would be a 90 degree
deviation. Realistically, the deviation
will be on the order of 0-10 degrees or so.
Let’s see what impact small degrees of deviation have on the difference
between the actual intercept point as compared to the predicted point.
For this illustrative example, let’s consider a predicted
intercept point at a distance of 1 mile (5,280 feet). We’ll use the geometry of a right triangle to
calculate the deviation. Specifically,
we’ll use the formula
tan(deviation angle) = opposite/adjacent
rearranging,
opposite = tan(deviation angle) * adjacent
where,
opposite = the deviation from theoretical intercept point, in feet
adjacent = 5,280 ft (distance to theoretical intercept point)
deviation angle = the angular deviation from the predicted intercept path, in degrees
Using the above formula, we get the following results for
various degrees of deviation.
10 deg = 931 ft
5 deg = 462 ft
1 deg = 92 ft
0.5 deg = 46 ft
0.1 deg = 9 ft
We see then that even a miniscule 0.5 deg deviation will
result in a 46 ft miss. We have to be
down around 0.1 deg or less deviation to hit our predicted intercept point
close enough to be effective. Of
course, that assumes the target perfectly followed its predicted travel path
and didn’t change course, altitude, or speed!
Wow! That is not much
allowable deviation before we have a clean miss! From observations of video of live fire gun
exercises, my estimate is that deviations of 0.5-5 degrees are normal. That’s not encouraging. I’m beginning to think that hitting a target
with a naval gun is almost impossible.
Before we throw up our hands and give up trying to hit an
intercept point with a naval gun, let’s recall that there are a few things that
can help improve our odds.
Number of Shells – It’s a given that every shot we
fire will have a deviation to some extent.
However, if we fire enough shells toward the predicted intercept point,
one or some of them will, statistically, wind up being close enough to be
effective. This argues for smaller
caliber projectiles that can be fired quickly and in large numbers.
Rate of Fire – This is another way of saying, number
of shells, but it goes beyond that.
There’s a time lag between every shot and the greater the time lag, the
fewer shells we can put into the predicted intercept point. To illustrate, if we could fire a thousand
shells in one second, we’d saturate the intercept point and compensate for the
individual inaccuracies with numbers. On
the other hand, if we can only fire one shell per minute, then we can only ever
have one shell in the intercept area at a time before the intercept point changes
significantly and odds are it will miss due to the various factors we’ve
discussed. This argues for extremely
high rates of fire.
Stabilization – The quicker our gun can respond to
stabilization commands, the more accurate we’ll be. This is accomplished by decreasing the
inertia of the gun which is accomplished by decreasing the weight of the gun
and/or increasing the power of the train/elevation motors. This argues for smaller, lighter weight guns.
We see, now, why a 5” gun is very unlikely to be effective
at hitting a cruise missile. In fact,
modern 5” guns have been proven to be woefully inaccurate even against slow
moving (relative to a missile) Boghammer boats (the Vincennes incident).
Fragmentation - Yet another compensating measure is
fragmentation. If we have to have a
direct hit on the target to kill it, our odds are extremely poor. However, if we can just be in the general
vicinity of the target and kill it via shrapnel (fragmentation), our odds
increase. The larger the effective
fragmentation area, the better our chances.
This suggests using large shells that can disperse large quantities of
shrapnel. However, there is a limit
because the fragmentation pattern takes time to spread out after the shell
explodes and if too much time is taken the target has flown past before the
shrapnel can spread out. So, there’s an
effective limit on how big a pattern can be effectively used but I have no idea
what that limit is.
Guidance – Guided projectiles offer another way to
improve accuracy but at a significant, literal cost. There are companies who offer, or are
developing, small guided projectiles but, as far as I know, there is no test
data under remotely realistic conditions that demonstrates that they are
effective. They may or may not be.
Conclusion
It is clear that naval guns are inherently inaccurate. For the case of fixed land targets, we can compensate
for inaccuracy with explosiveness. If
we’re firing 16” battleship shells, accuracy is a lesser concern as the giant
50 foot craters will compensate for a lot a inaccuracy. We can also substitute multiple salvos for
accuracy knowing that statistical odds will ensure that if we fire enough
rounds, some will hit the target.
Besides, it’s not as if a fixed target is going anywhere.
However, if we’re trying to shoot down an anti-ship missile,
we need small, light, very rapid fire guns which is the concept behind 20-30 mm
CIWS guns. It’s clear that larger guns
(5”, 57/76 mm) are ineffective for the anti-air role, barring dumb luck.
- Barrel Wear – wear is a constantly changing phenomenon and is not uniform along the length of the barrel
- Barrel Temperature – changes on every shot and is not uniform along the length of the barrel
- Wind – constantly changing and changing throughout the length/time of the shell’s flight profile
- Barrel Movement – the barrel is moving (pitching, rolling, and attempting to stabilize) while the round is traveling through it!
- Shell Uniformity – every round has minute (and no so minute!) differences in weight, shape, smoothness, dents, etc. and each one affects accuracy
- Friction – this is a factor of the shape of the round, density of the air, humidity, wind, etc. and, of course, there’s always friction between the barrel and the shell
- Humidity – this is constantly changing on the micro scale as the shell encounters wind currents, spray, fog, rain, etc.
- Density – the density of the air is constantly changing due to temperature, humidity, altitude, etc. causing changes in friction and speed of the projectile
- Temperature – changes with elevation, wind currents, and wave behavior causing updrafts and downdrafts
- Target Movement – the target is constantly moving in all three dimensions while the intercepting shell is being fired and traveling through the barrel and the target continues to move during the entire travel time of intercepting shell; some of the movement is due to physical factors (wind, friction, etc.) and some is due to intentional terminal maneuvering; when we take a radar ‘fix’ on the target, the implicit assumption is that the target will continue on its path and that’s utterly false, as we just noted
adjacent = 5,280 ft (distance to theoretical intercept point)
deviation angle = the angular deviation from the predicted intercept path, in degrees
5 deg = 462 ft
1 deg = 92 ft
0.5 deg = 46 ft
0.1 deg = 9 ft



