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I don't know exactly how breakthrough works, I usually try to do as much soft damage as possible. :-/
to get the best value from rocket artillery you need the rocket engine researches so quite a bit of research cost unless you are doing those anyway
truck-mounted rocket artillery (not motorised) are the best soft attack for an artillery battalion
Generally, artillery are better for defense and rocket artillery for attack
Apart from that, it can be said that it is cheaper than conventional artillery, because steel is usually a precious commodity that is scarce for most countries that are not interesting, and there are usually more countries willing to export tungsten than steel.
Thanks for the answers, I think everything is clear :)
Artillery is usually better no the defensive and definitely cheaper research-wise.
Rockets also have super bonuses you can get on the rocket research line. Again, expensive, but very effective.
Let's see if I understand, if I am attacking an enemy division, my enemy uses defense, but if another division attacks my division that is already attacking, will my division use Breakthrough?
No.
When your division attacks, it will use it's attack values (both soft and hard, though how many will depend on enemy division's hardness ratio) to "shoot" at enemy division, and enemy division will use it's own attack values to "shoot" back. However, the enemy division in this case will use its defence value against your "shots" while your division will use breakthrough value against enemy "shots". If in the meanwhile another division attacks your division, I think your division will use its defence value against that particular attacking division. So in a nutshell, attacker uses breakthrough value to defend against enemy "shots" while defender uses defence value to defend against enemy "shots". If division is both attacking and being attacked at the same time, it will count as two separate battles in one of which your division is the attacker, and the defender in another.
I highly recommend to read HoI4 paradox wiki which contains articles on how stats work and how combat is resolved including underlying math. While you don't need to memorise formulas and play with a calculator in your hand, some general knowledge of how combat is resolved under the hood will help you to devise your own rules of thumb for different combat scenarios and will allow you to make informed decisions when designing your divisions. By then you will probably also realise that most of the division template guides out there are quite a garbage.
it's very clear, thank you for the information ^-^