First of all I must say that it's nice to have some real artillery discussion in SDF for change
You asked for it, here it comes
Well, personally I think the calculation illustrates the
effectiveness of SPH's. Yes, cost of procurement is lower but
IMHO the effectiveness and ability to survive of SPH's compared to
traditional or even APU FH's justify the additional cost.
VT-fuze or multiple fuze should be considered to be standard fuze
outside Finnish and perhaps Chinese armies. Compared to shells fired
as "sensitive" VT fuze is much more effective against soft targets
as US army already found out during WW II. With enemy firing VT to dig
in is not enough, one needs top cover too. Sometimes, but only
sometimes, a shell fired as sensitive can explode when hitting
tree branches and having a top burst effect but that is no certainty.
It's possible to destroy a SPH by firing shells as insensitive but
that lessens the odds very much compared to firing VT or even
traditional HE to a firing position. That's one of the lessons
of Second World War and the reasons behind this are fairly simple.
Following comes mostly from memory without accessing necessary
Finnish or US field manuals, please feel free to correct.
This is a statistical excursion, but hopefully informative.
Consider the enemy has plotted your gun position with perfect
accuracy and fire against it with a battery of six 155mm howitzers
on distance of 12 km's with a volley of three shells. The spread
of fire is, say, perhaps 0,5 percent lateral and 1 percent
longitudal. Without going into mathematical finesse let's
represent the area as an ellipsoid of 60x120 metres, or 5600m2. Now,
there's total of 18 shells going into that ellipsoid. Naturally
more shells arrive closer to intended point of impact than
on the borders.
Let's have a SPH and a APU FH as targets. A Pzh-2000 has total
dimensions of 11,7m x 3,6m. To have effect upon it a HE fired as
insensitive has to arrive directly on top of it or very close
nearby. Let's allow a distance of five meters from outside
extremes. If one fires shells as insensitive if they
do not hit their intended target they will get buried before
they explode.
So, we have a target with dimensions of 18x9 meters,
or 162m2 within an area of 5600m2. The rest is math. Yes,
SPH can have tough or good luck.
Second target is APU FH with a gun crew. Enemy knows this and
fires VT. Again, there go the 18 rounds into that
ellipsoid of 5600 meters. The dimension of target gun position
is roughly 10x10 meters, 100m2.
Now, kill radius for a single VT 155mm round is 50 meters, or 1960m2.
The 50m kill radius is pretty optimistic counting from target's
viewpoint. In addition to having a very nasty effect on gun crew
fragments of VT have high possibility of damaging an APU FH as it
has exposed electronics and hydraulics. In this sense older FH's
are less vulnerable to indirect fire. Also, in addition to gun and
crew there is also other vulnerable, exposed stuff lying around
including ammunition etc. Again, APU FH can have tough or good
luck but to be inside German sardine can is a much surer bet.
Let's switch for M483A1 DPICM and fire the same fire mission over
again. Boom, 18 shells with a total of 1854 M42/M46 grenades arrive.
Things go iffy for our German sardine can but the conditions of APU
FH are even worse, as to even damage a SPH a submunition has to hit
it in a suitable spot. On the other hand, even if our APU FH has
gotten into boggy ground resulting in a number of ICM duds (say, 20%),
there's still some 1500 cluster munitions exploding around that
roughly 5600m2 area, each with a kill radius of some 7 meters or
38m2...
Doing a sprint naturally reduces APU FH vulnerability but considering targetting perhaps not as much as one would suppose. First, if terrain is any more
complicated than a billiard board there probably is one, maximally two
directions to go. With amount of necessary support, command, etc. vehicles and exposed personnel it's still worthwhile to fire a counter-battery fire mission into APU FH firing position area as it is very probable to damage at least support personnel or vehicles. With SPH's same vulnerabilities exist but in diminished form.
A military conflict is naturally not a statistical exercise
but overall vulnerability of a APU FH compared to SPH cannot
be explained away. If enemy has calculated your own position
less accurately or spread of fire is greater the same math still applies.
VT's or DPICM's anti-personnel radius is so much larger than HE's or DPICM's
kill radius against a SPH.
APU FH's can have semi-automatic loader yes, but no autoloader
which permits MRSI, which is really one of the killer applications
(in context of weapons a term which really fits) of modern SPH's.
As artillery demi-god V.P. Nenonen already found, against
even hard targets first rounds which are the most effective.
That's why multiple-round-simultaneous-impact is so important.
And that's why even a smaller number of MRSI capable guns
are practically just as effective as a smaller number of
non-MRSI guns.