Cartridge Compliance Conversion

Psam:

The resonance frequency formula is taken from the physics equation that measures the resonance frequency for vertical motion, usually applied to spring systems in college physics textbooks. If we assume that these are similar problem domains, I would guess that the counterweight wouldn't change anything as its effects are outside of the system being considered... just a guess though ;)

I am not sure this is the case. If we add a weight on top of a spring the resonance frequency of the system will change (decrease).
This is funny, I have posted the similar question before in a few forums but I never got a reply from someone who was sure of the answer!! I guess the question is really extreme.
BTW, last night I had a ZYX cartridge for test in my place. Its compliance is 15 and its weight including mounting gear is 6.2 grams. Befor that I had a Denon 301 with very similar compliance & weight, on the same TT. The Denon was making the woofers of my speakers flap quite a lot but the ZYX not at all.
I an not sure the published data for compliance can be trusted to the point that the calculations show us if a specific cartdridge would be a good matsh for an arm.
The final and only safe test is to get the distributor or someone else who owns it, to set it up on your arm and then review it, period. And I think that when we are speaking of cartridges with a price tag over say $600, it makes sense to expect the seller spend a couple of hours for you....

yea, I'm somewhat surprised that I didn't get an answer from a self-proclaimed expert as well ;)

Anyone else what to take a crack at this one?

You might have bitten off more than you can chew here.John Elison at Vinyl Asylum is the resident expert on these equations there,so I would advise having a look at what's in the archives in his postings there.But from what I remember these are 2 different measurements taken either at 10Hz or 100Hz and are not transposable.