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| subject: | ATM Plop 18-point cell for 16.5 x 0.75 mirror |
From: Mark Holm
To: JBHillman{at}ev1.net, atm{at}shore.net
Reply-To: Mark Holm
Jerry,
I took these dimensions for your mirror from Waldo Kitty's message. I hope they
are correct.
diameter 16.5 in 419.1 mm
thickness
.75 in 19.05 mm
f-ratio
4.6
focal length 75.9 in 1927.86 mm
secondary diameter 2.5 in 63.5 mm
mirror material pyrex
Plop calculates an 18-point cell, using variable angles, that gives very
good support for this mirror. The proportions look pretty easy to deal
with. No narrow triangles.
The RMS residual deformation is 1/250 wave. That is very good, plenty small enough.
r1 = Radius of circle on which inner three mirror support points lie as a
fraction of mirror blank radius.
r2 = Radius of circle on which the bar pivot points lie as a fraction of
mirror blank radius
r3 = Radius of circle on which the six outer mirror support points lie as a
fraction of the mirror radius.
L = Length of each bar.
B = Base of each triangle as a fraction of the mirror blank radius. A1 =
Altitude of each triangle.
A2 = Altitude of pivot point on each triangle.
r1 = 0.398r = 83.40 mm
r2 = 0.578r = 121.1 mm
r3 = 0.832r = 174.3 mm
L = 0.668r = 140.0 mm
B = 0.438r = 91.8 mm
A1 = 0.405r = 84.9 mm
A2 = 0.135r = 28.3 mm
The dimensions L, B, A1, and A2 are to the support points. The physical
parts will have to be larger.
Mark Holm
mdholm{at}telerama.com
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