Hello Kelvin, interesting observation. Here is a comparison of your formula with the magnifications I'm using for observing Jupiter:
Lens CB A Mmax | My usual mag (in parenthesis what I use to confirm certain features in good seeing)
C63/840 1,9 1,76 111x | 105x (up to 120x)
AS80/1200 1,4 1,86 149x | 120x (up to 150x)
ATC82/1670 0,89 1,96 160x | 111-134x (up to 170x)
ED100/900 ~1,4 1,86 186x | 150 (up to 180x)
AS110/1670 1,9 1,76 194x | 165x
Basically, there as a good agreement. But since all of my telescopes are of low CB, I guess I can't provide any input/check for the slope dependence on CB.
Thank you for your observations. You have a great collection of low CB refractors. That As110/1650 must be great to use. I owned an APQ100/1000 for ten years. I used to use the 6 mm Orthoscopic for the best details on Jupiter's belts which led to 166X. Very similar to your "usual mag" for the 110.
I do think my achromat formula might be more appropriate to achromats CB from 2-9.
Now if you plotted CB versus your "usual mag"/D and call this A with error bars for uncertainty It would be interesting to see if we get a linear relationship. I might try and do this today although I do not know the uncertainty in your "usual mag". Perhaps +/- 5...........
I certainly like seeing the reality that really high mag is not great for the subtle fine detail we see on Jupiter!!
Kevin
Edited by Kevin Barker, 24 October 2014 - 03:19 PM.