Measured the current draw with the Ign on and it was 3a. Note this was just rotating the engine by hand. Might be close to the limit for the 4ah battery when running?
I ordered a cheap lithium battery and charger to have a trial with so will see how it tests on the bench and the track. day.
Rotating by hand tells you close to the max required. When the points are closed to one side, and you have a 1.6 ohm coil and a ballast resistor:
I=E/R: Current=Voltage/Resistance so 12.6v/3.2ohms=3.94amps. However, the points are no closed at all times and when not, there is 0amps flowing. Then you have to take into account two cylinders. And, on top of that, resistance is a static thing, but coils of wire have reluctance which can be thought of as is similar to resistance while stationary but different when charging/discharging.
The most accurate way to tell is an analog ammeter between the battery and ignition system. An analog meter will smooth out the fluctuations.
If the draw says around 3amps while running, then a 3ah lead/acid or AGM battery should supply all you need for one hour. A 3ah equivelent Lithium, quite a bit longer. To give you an example using batteries I know from Shorai:
LFX09 113mm L, 58mm W, 89mm H Will start a cNw e-start equipped Combat several times out of the box and never charged
LFX14 113mm L, 58mm W, 89mm H Will start a cNw e-start equipped Combat MANY times out of the box and never charged (size not a typo)
LFX21 148mm L, 82mm W, 140mm H Will start a cNw e-start equipped Combat a ridiculous number of times out of the box and never charged
The biggest Lead/Acid or AGM you can fit might start it 3-4 times before being weak.
It is important that you choose LiFePO4 which is often just called Lithium
Iron. If simply called Lithium or Lithium Ion don't use it! It is also important that they be meant for motorsports.
You may have said it and I missed it: What are the dimensions of the battery your are using?
If charged with a proper charger, the voltage will be higher than a Lead/Acid. Although counterintuitive when thinking in resistance rather than reluctance, the required current is actually smaller - basically, coils use what they need when running.
Keep in mind that
@Fast Eddie asked Shorai and they said no. I'm not sure if that was specific to the LFX range or how long ago. Personally, I would use them because I have experience and trust with the LFX series but that said, I would use a Shorai or NOCO charger between races and I would check the battery voltage before and after races. I probably would have two batteries and swap them between races to be absolutely sure to be not running close to the edge.
Lately, I've tried NOCO LiFePO4 which are more readily available and cost less. So far, I'm happy with them as well but I have no built up a trust level.