In the old E.T. game you actually could see where the enemy mortars were as soon as they started to shot. Thus you could try to counter-battery them with your own mortar.
I suggest a Mortar soldier perk (or even a perk accessible for artillery soldiers too) which makes mortars show up on the map as soon as they begin to shot.
It would playing mortar more of a challenge (it isn’t now) with shoot-and-scoot play and it would also make for more creative game for mortar players (and perhaps also for the artillery players), using the map and helping team mates out of the mortar fire.
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This. Except I was thinking to just draw a circle on the map indicating that the mortar is somewhere in that area. The longer the mortar is firing without changing position, the smaller that circle becomes.
So to stay alive the mortarmen will have to change their position, they can’t just build ammo crates and get free kills anymore.
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And make it sure it’s not the exact center of that area. I like this option, and have a feeling we already had such ideas. Earlier as well. 
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Yup! And the more we talk about - the bigger the chance it’ll actually get implemented
Easy, assuming that:
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R is the circle’s radius,
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X and Y is the mortarman position in 2D space
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O (offset) is a random number between -R and +R
Solving for Cx and Cy becomes:
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Cx = x + offset;
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Cy = y + offset;
Thus, cx and cy are the center of that circle that is randomly offset from the position of the mortarman, ensuring that he is somewhere within it, but not necessarily in it’s center.
That formula could perhaps be used for a counter-narrety perk, like the e.g. Brake perk, wiyth an increqase in accuracy of 10% forts and 30 percent later.
That looks fantastic. Something need to be done and this is the right way.