Well we would have to get there first. I just don't see that happening in 1910. Maybe with German scientists in say the late 40's or 50's. If it is in the 50's I think we would fire rockets with nukes, but landing on Mars even nowadays is not going to happen. Unless we figure out how they are doing it!
Quite a bit has already been done using the AQMF infantry rules. Infantry is still infantry and SMGs/MGs and artillery are pretty much the same, just more of them. Motorized vehicles underwent the greatest evolutionary changes.. Probably the biggest changes for vehicles would be larger intake and exhaust to accommodate the lower density "air" and reduced oxygen content.
All of that is a long way of saying motorized warfare would likely be very similar enough to AQMF to use those figures. Aircraft would need wings about 3 times the size of ones for Earth.
Correction on atmosphere density: Martian atmospheric pressure at the surface is about 6 millibars versus about 1000 millibars at earth's surface. That is about 6/1000 of earth.
This would make it necessary to have wings about 166 times the area of earth or dimensionally about 13 times larger in all dimensions. This is where some "literary license" might be needed.