Do 45 RPM records need higher anti-skate setting?

Ralph, Re the original question, friction (between the stylus tip and the groove) is the prime source of the skating force, and friction is independent of velocity. It's as simple as that.
The only difference between a 33 and a 45 might be if the two LPs were made of different vinyl compounds that gave different coefficients of friction. There might be an additional very small contribution related to groove tortuosity, as I wrote before Omsed.

Yes, skating force is not constant across the surface of the LP, but not because of the platter speed. Inconstancy has more to do with headshell offset angle and the arc traversed by the stylus as it moves from outer to inner.

Dear Lewm, did you note that my "centrifugal force" is in quotes, thus trying to indicate I am quoting one of the many know-nothings that spout phalse physics ad nauseum, and not using it as a real term?

Now that you'll noice my quotation marks and realize I was showing the ignorance of folks who use the term, could you not now respond and say I spelled "phalse" incorrectly? It's a little pun thing.

Smiling.....not indicating you are pedantic....but you did use the descriptor first!

Let's put some physics and math to it for Ralph.

1. Skating force is always in the same direction, never changing from + to -. If we denote the inward radial force (skating force) as positive then it remains positive.

2. The magnitude of the vector changes in relation to the error in tangency of the stylus to the groove. Since the angle relative to tangency of a pivoted arm changes then the magnitude of the skating force changes.

3. Though skating force always remains positive (in my convention of positive meaning toward center) the DEVIATION in skating force goes from positive to negative to positive across the record as it is played from the outer groove.

However, the deviation in his force is pretty small, given that skating force can vary from record to record a bit anyway, and given that the antiskating mechanisms of arms are not perfectly linear.

4. The magnitude of change in skating force for an arm with a 23 degree headshell angle would be +7%, -4%, if the arm uses Baerwald geometry. The percentages are deviations from when the arm is at true tangency (null points).

5. Let's look at the magnitude of those percentage changes. Based on my detailed and repeatable experiments to determine actual skating forces I am confident we are looking at deviations of approximately two HUNDREDTHS of a gram! A small Post-It note weighs TWENTY times that!

Now, this is where experience can be helpful. Try as I might, I cannot reliably detect a sonic difference by changing the antiskate force by those amounts. I cannot detect a tracking ability change by changing antiskate by those amounts.

4. With poor tracking pivoted arms, yes, tracking is worse at the center of the record. But, since the best arm I can find is free of this, I have to conclude that there are many problems at work with those arms, including geometry (one low cost, ubiquitous brand uses their own geometry that nobody can figure out), resonances, and other matters that I'm not about to spend time figuring out.

Based on all of the above, I have concluded that variations in skating force across the record due to geometrical considerations are not a material concern in the sound reproduction of a pivoted tonearm.

@ Ralph: You ask "Also, if the platter is at rest there will be no skating force at all. That was the basis for my response above; are you saying there is zero(0) change regardless of rotational speed?"

Answer: The difference in the rest condition and the dynamic condition are not relative to each other. Skating force is the result of dynamic friction, which requires movement. So the rest condition is irrelevant. One cannot extrapolate changes due to increases in relative velocity based on the change from no velocity to some velocity. The comparison between the no velocity condition and some specific positive velocity condition is a non-sequitur. That would be the case even if dynamic friction magnitude were dependent upon velocity. Fact is dynamic friction is nearly independent upon velocity.

Going to try to be bowing out from the forums now guys. I see that they are addictive to me! Wow, it takes a lot of time to try to be clear, and I have my real job, research and design to do.

Try to remember, when you think you know it all start looking for your mistakes! You'll find them.