The Tilt-a-mite provided a smaller, more lightweight alternative to the massive flash units that loaded 'C' or 'D' size cells. It's actually a very elegant solution, simple though it is. I'll go through some simplified math to show you why, or you can skip to the end of this post.
Amazingly, the capacitor on mine is still good and measures 400uF. Now, the energy stored in a capacitor is (1/2)*C*V^2, or in our case (1/2)*(400x10^-6)*15^2, or 0.045 Joule.
The original 15V Eveready 504 battery was rated at 60 mAHr. So the rated stored energy of the battery is (15)*(.06)*(60)*(60), or 3240 Watt seconds, which is also 3240 Joules.
The real world deliverable capacity is probably about 1/2 that, since we still need about 12 V at end of life and there will be loss due to aging. Even so, the battery can be expected to deliver 1620 J.
Now, the simple resistor charging method has an efficiency of 50%, so we use
(2)*(.045) = 0.09 J every time the capacitor needs to be charged.
And, we'll fire the test lamp before each picture to be sure we'll get the shot, so we charge the capacitor twice for each bulb fire. (0.09)*2 = 0.18 J
We use 0.18 Joule for each fired bulb. We have 1620 J available in the battery, so, finally,
*1620/0.18 = 9000 flashbulb fires, an incredible *750 dozen*!!!*
Now, an M3 flashbulb has a resistance of about 1 ohm. Even though the capacitor takes just a tiny sip from the battery, I measured, using the original ancient capacitor, a peak current through a 1 ohm resistor (for just several microseconds, of course) of 11A. So the system can deliver an instantaneous power of 11^2 * 1, or over *100 Watts* - nearly as surprising (to me, anyway).
Back in the day, a hobbyist with some money to burn and who went through a couple dozen flashbulbs a week could expect the battery to hold out for seven years - longer than the shelf life of a carbon zinc battery.
I was really surprised when I worked it out. A superbly designed system. BTW, the complete opposite of the Polaroid flash, which was a crude hack job by comparison. It didn't even supply the minimum rated voltage for flashbulbs, which has been at least 3V for everyone I've seen.
One thing to keep in mind, if anyone has one of these gizmos, is that they need to be stored with the flashbulb removed so the small leakage current through the capacitor won't discharge the battery over time.
Cheers!