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magnilux - Astronomy Technology Today

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A 3D CAD PRIMER<br />

Image 1<br />

focal-length value will rise. Click on that<br />

and change the value from 120 inches to<br />

60 inches and, when you hit the return<br />

key, the mirror geometry will still have the<br />

parabolic profile, but of a much faster f/5<br />

mirror.<br />

And, if you have assigned a density<br />

value of Pyrex to that mirror (0.0805 per<br />

cubic inch), you will see the weight go<br />

down as a consequence of the deeper<br />

sagitta. And, if the mirror just happens to<br />

be nested in a telescope assembly, you will<br />

see the center of gravity (CG) shift forward<br />

to a new position – all automatically<br />

and without having to use a calculator!<br />

Builders of Dobsonian telescopes, please<br />

note; never again need you guess where<br />

your bearings should be or have to add or<br />

remove lead ballast from the mirror box –<br />

not if you designed it in a 3D solid modeler<br />

and built it as you designed it! The<br />

CG will be where the software said it<br />

would be.<br />

If your dream scope is going to reside<br />

in a fork mount, again, you must know<br />

where it will balance. If the tube is 30<br />

inches long and the CG is about 10 inches<br />

forward of the primary mirror, will the<br />

back end of the tube clear the base of the<br />

fork when it’s swung No How much<br />

longer must the tines of the fork be in<br />

order to swing the OTA without interference<br />

Or, how much ballast must be<br />

added to move the tube to clear and<br />

Image 2<br />

where<br />

The scrap bins of the world are filled<br />

with the guesstimates that failed to work.<br />

Material can be expensive. Your time is<br />

too. Invest time in designing it properly<br />

before you step into the shop and all these<br />

concerns cease to be. The consequences,<br />

for even the most complex structures, are<br />

faster construction, fewer makeovers, and<br />

more certainty with no surprises.<br />

Faster or Slower<br />

In the beginning, using 3D CAD<br />

software will not necessarily get your<br />

scope built faster. It will likely be a better<br />

design with fewer surprises, but the time<br />

invested while seated at the computer has<br />

to be considered as part of the dues<br />

that must be paid. However, it is fun and,<br />

after so many years of designing optical<br />

systems, I have accumulated a library<br />

of virtual parts that makes the design<br />

process both faster and easier. In addition<br />

there are user groups who share part<br />

geometry with others. That speeds<br />

Image 3<br />

things up too.<br />

Let’s say I need a model of a secondary<br />

mirror with a minor axis (MA) of<br />

three inches and one-half inch thick, but I<br />

don’t have one. I simply copy an existing<br />

model of a two-inch mirror to a new file,<br />

open that one, click on the thickness and<br />

click on the MA, and change their values<br />

– within seconds I have the new mirror.<br />

But it gets better! If the secondary fixture<br />

is linked to the mirror it holds and I<br />

change the size of the mirror, the fixture<br />

updates too! And, so do all the mass properties!<br />

Many manufacturers, anxious to<br />

Image 4<br />

make more sales, are now offering free 3D<br />

models of their parts. You can log on to<br />

McMaster-Carr’s web site, as one example,<br />

and download free 3D solid models<br />

of many parts for use in virtually any<br />

CAD program. I rarely design commercially<br />

available parts any more. I simply<br />

download the geometry from the appropriate<br />

Internet site. The knob shown in<br />

Image 4 is in my designs for collimation.<br />

It’s a solid model and a download that I<br />

can purchase, or not.<br />

If this trend continues, you can<br />

expect eyepiece manufacturers to offer<br />

simple 3D CAD solid models of their eyepieces<br />

along with their mass properties.<br />

They do not appear to be available yet, so<br />

when it came time to see how a 17-mm<br />

Wide-Angle Vixen Lanthanum affected<br />

the balance of a scope, I simply reverse<br />

engineered a real one myself. I only had to<br />

60 <strong>Astronomy</strong> TECHNOLOGY TODAY

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