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Ritchey Chretien Telescopes

A collection of links I found while trying to solve the focus position problem.

Telescopes


Optics
 Focal Length (Wikipedia) 
 Focus (Wikipedia) 
  (Wikipedia) 
Conic Sections
 xahlee conic sections 
 Conic Section (Wikipedia) 
 Hyperbola (Wikipedia) 
 Eccentricity (Wikipedia) 
 Hyperbolic Functions (Wikipedia) 
 Math2 conic sections 
 An Introduction to Conic Sections 


Ray Tracing
 Wikipedia 
 opus 
 dbOptic 
 ATMOS 

Mirror specifications

Primary

24" diameter
f/3 focal ratio
72" focal length
144" radius of curvature
3.7" thick
8" Central hole

Secondary

9/5" diameter
1.38" thick
-38.24 focal length
-76.47 radius of curvature

Telescope

47.63" nominal focus
15.68" back focus
1.65" focuser travel
0.00125" per step
200 steps per rev
               in       out      ccd focus
Focus        1399.4    2796.6      2048
Analog       1301      2998        2103

Ritchey-Chretien equations


B = Back Focus           = 15.68
D = Dist Between Mirrors = 47.63
F = Effective focal len  = 72.00

C1 =  Primary Schwarzschild deformation coefficient

C2 =  Secondary Schwarzschild deformation coefficient


       ( B - F )            15.68 - 72               -56.32
C1 =  -------------  =  ------------------   =     -----------   =  -0.008211
       2 * D * F          2 * 47.63 * 72             6858.72



       ( B + D - F )      15.68 + 47.63 - 72           -8.69
C2 =  --------------- = ----------------------  =  ------------- =  -0.005818
         2 * D * B         2 * 47.63 - 15.68         1493.6768
 

Note:  The values may not be correct because Wikipedia defines backfocus from 
secondary to focal plane, and DFM appears to define backfocus from the 
primary to the focal plane.  If that is correct, B would be 15.68 + 47.63.



B = Back Focus           = 63.10
D = Dist Between Mirrors = 47.63
F = Effective focal len  = 72.00


       ( B - F )            63.10 - 72                -8.90
C1 =  -------------  =  ------------------   =     -----------   =  -0.001298
       2 * D * F          2 * 47.63 * 72             6858.72



       ( B + D - F )      63.10 + 47.63 - 72           38.73
C2 =  --------------- = ----------------------  =  ------------- =   0.006443
         2 * D * B         2 * 47.63 * 63.10          6010.91
 

At least the second case has different signs for C1 and C2, which is expected because
the primary is concave and the secondary is convex.


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