The astrophotography calculator is intended to be a simple aid for anyone who wishes to take photographs through their telescope or camera lens at celestial objects. Neither the calculator nor these notes can replace a good book on astrophotography or experience gained from getting out with your telescope, film, camera and a note pad. None the less the following points are of enough importance to emphasize.

The calculator does not factor in reciprocity failure of film into the exposure times, because each film fails differently depending upon many factors. For exposures more than a few minutes you should try gas-hypered films to minimize this problem.

Prime Focus
                +---------------+
camera ->       |               |
                +----|     |----+
                     _______
T-ring ->            !     !
                    =========
                      |   |
camera adapter ->     |   |
                      |___|
Apply any focal reducers or extenders to the Primary FL in the calculator.

Eyepiece Projection

                +---------------+                -
camera ->       |               |                 |
                +----|     |----+                 |
                     _______                      |
T-ring ->            !     !                      |
                    +++++++++                     |
                    |       |                     Y = projection length
                    |       |                     |
                    |       |                     |
Eyepiece            |       |                     |
 projection ->      |       |                     |
 adapter            | __~__ |                    -
                    | ##### |  <- eyepiece       -
                    | ##### | (inside adapter)    |
                    | ##### | with focal length   X
                    |       |        f            |
                    =========                    -
                      |   |
                      |   |
                      |___|
Y is the distance from eyepiece to film (camera back).

X is the distance from the eyepiece to the focal plane of the primary. It can vary between f (focal length of eyepiece) and 2 * f: this distance determines Y. If you have a fixed length adapter, then Y will fixed for any given eyepiece and will determine how far out or in you must focus the projection system to get an in-focus image at the film plane.

Simply put, the closer to f    X is, the longer Y will be (and the larger the resultant image will be -- at X = f, the image size on the film will be infinity, as will Y), and the closer to 2 * f    X is, the shorter Y will be (and the smaller the image size on the film will be -- at X = 2 * f, the image size is the same as if no eyepiece was used at all).

For a fixed length adapter, Y will only vary if the top of each eyepiece extends out by a different amount (a physically taller eyepiece will reduce Y while a shorter eyepiece will lengthen it) or if you use cameras with different distances between their film planes and the T-rings.

The magnification of the optical system = ( Y / f ) - 1

For a variable length adapter you can vary Y, which also allows you to vary X, but the calculator does not currently allow you to specify a value for X (the magnification of this optical system = Y / X, where f < X < 2 * f), so assume that you can only modify Y and adjust the focus accordingly.

Equations are from Astrophotography by Barry Gordon, Second Edition, 1985, Willmann-Bell, Inc. (ISBN 0-943396-07-7).

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