Upgrade from TW Acustic Raven AC-3 to what?

Sorry, here is complete URL:

http://archive.ncsa.illinois.edu/Classes/MATH198/townsend/math.html

Dear Lewm, dynamic mass of a TT is certainly important, as it adds considerably to its inertia (and is thus a matter too of the "geographical" dispersion of that dynamic mass in the horizontal distance to the "eye of the hurricane" - i.e. the bearing center), but in absolutely no way it adds to the mass "seen" by the record or stylus.
Why ?
You are standing on planet Earth - right?
Whether our planet spins or not doesn't alter its total mass.
Especially not the difference in mass between you and mother earth.
Now - if you jump from firm solid rock ground it will be different as if you'd jump from a suspended wooden floor and the landing will be different too - right?
Do I need to say more ?
I know that there are very few "physical facts" in audio life were audiophiles can agree upon, but can we agree on that?

Dear Lewm, again - ALL OTHER FACTORS are identical. Force vector of stroke, felt, air, humidity, everything except the thickness of the slate.
This elaborate analysis you found is what it is - a nice mathematical analysis of the forces, speed, impacts and angles occurring during billiard. It has nothing to do with the model we are talking about.
On the other hand I am certainly on no mission (as I do not believe in missions at all..) to convince you or anyone else.
If you do not agree to that model and to that principle of static platter mass and its contribution to undistorted tracking on the record you have a) a good large party on your side and it is b) totally fine with me.
As I mentioned before - just forget my silly ideas and model, don't bother anymore and continue as before.
Neither you nor anybody else have to accept nor buy that idea.
I certainly have no problem, but simply want to repeat one last time: ... ALL other factors (including the felt..) in that model are identical (just think about this for a moment - it tells the whole story - factor-elimination! - and it requires far less time than looking for written papers via Google......).
For your consideration - the increased thickness do bring one other factor into the "game" which too does contribute to the decreased tracking distortion as well as to the "longer run" of the ball on the table (and you won't find that covered in the maths either.....). But it makes little to no reason to discuss the next point when the first factor is still clouded.
Well, - I was used all my life to think and act far away the mainstream.
You do not find fresh grass (neither for your cows nor for your racing horses... ) if you walk on paths and grounds hundreds have walked before.

Dertonarm, Lewm, Dover,

I have been pondering the technical aspects behind TT speed stability in a qualitative way. I think there might be situations where mass plays an important role. I tend to think about this as AC vs DC, low vs high torque, low vs high platter Inertia (driven by mass). I tend to bracket in the following fashion:

1) Optimum

a) low torque, high platter inertia, AC
b) low torque, high platter inertia, DC

2) Moderately optimum
a) high torque, high platter inertia, AC
b) high torque, high platter inertia, DC

3) Not so optimum

c) high torque, low platter inertia, AC
d) high torque, low platter inertia, DC
e) low torque, low platter inertia, AC
f) low torque, low platter inertia, DC

What I’m basically trying to say is that a high mass platter may be able to “ride out” or sustain small speed instabilities introduced by either the motor or drag from the stylus/record interface.

I wonder if a high torque motor combined with a low enough platter mass begins to dominate speed instability in case there are speed instabilities in the motor. In other words, the platter inertia may not be high enough to dampen this effect if the motor torque is the dominant factor.

I would think that the low or high torque options with low mass option may be the worst.

I also wonder about AC vs DC motors. I heard that while AC motors are constant speed, DC motors are actually constant torque.

Any thoughts on these questions?

Dear Aoliverio, while I will not question the ranking you have listed, I would nevertheless like to mention, that it too depends on the transmission (belt, string, tape - whatever). Introducing a low grip string/thread with a certain "amount" of "wanted slip" then the first group with high mass platter/high inertia will display an extremely smooth and constant speed with little to no measurable derivation once 33 1/3 are obtained. The higher the inertia/mass and the lower the grip of the thread the more constant the speed. I would call this the "Micro-Seiki-RX-Principle" as it first was introduced and widely used by Micro Seiki with their RX-series of turntables. Furthermore the thread with low tension/grip is about the very best "isolator" from motor/flywheel generated vibrations.
As for the motors - in the set-up with low tension thread and high inertia their importance is decreasing. I simply choose the best capstan motors and stop worrying about the issue at all. An expensive, heavy and uninspired choice, but a very satisfying and final one too.
However - the more rigid the coupling between platter and motor and the less mass/inertia in the platter the more importance in the speed stability and low vibration of the motor drive.
Here again I would choose a really good big tape machine capstan - for the very same reason as before: stability of speed, very little vibration.
What we find on our records was recorded with these capstans in big Amperex and Studer machines for 4 decades.
I think if it is good enough for the source of our records, it is good enough for their reproduction.