Astro Note 16: Astrophotography I - Star Trails


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The Earth's rotation makes the stars appear to move from east to west in the sky. For a stationary, unguided camera of focal length F, a star having declination d, will photograph as a trail of linear length, L, in an exposure time of t seconds:

            t * F * cos ( d )



       L = --------------------



               13750







Note that the units of length, L, will be the same as the units of F.

Shorter exposures will result in shorter trail lengths. Assuming an 8x enlargement of a print and "normal" viewing distances, a trail of 0.1 mm or less will be virtually unnoticeable. The following table indicates maximum unguided exposures which will meet this criterion with several common 35 mm camera lenses:

Lens   Maximum exposure in
seconds at declination
Focal Length 35 mm field (degrees + or -)
    30° 45° 60°
28 mm 49 x 73 49 56 70* 98*
35 mm 39 x 59 39 45 55 78*
50 mm 25 x 37 26 31 37 52
100 mm 14 x 21 14 16 20 28
135 mm 10 x 15 10 12 14 20
200 mm 7 x 10 7 8 10 14
300 mm 4.6 x 7 4.6 5.3 6.5 9
400 mm 3.5 x 5 3.5 4 5 7

*Note: exposures over 60 seconds with "fast" lenses (f/2 or better) will show sky fog.

The angle of sky coverage, B, of any film having linear dimension s used with a lens of focal length F is given by (s and F must have the same units):

                     (  S    )



      B = 2 * arctan |-------|



                     (  2F   )











Instrument Requirements for Various Objects

Object Type Lens Focal Length F/   ratio Comments
Star
Trails
as available 50mm - 400mm f/2.8 - f/8 f/4 lens having 40° coverage best.
Moon telescope 50" or greater; use amplification f/8 - f/80 35mm SLR on telescope with projection.
Sun telescope same as Moon same as Moon Use proper filters to avoid eye and equipment damage
Planets telescope 100" or greater f/16 - f/80 Projection necessary to enlarge image.
Stars (general) 25mm
diameter minimum
any, but 100mm - 300mm best f/4 - f/8 Use medium speed f/ ratio for best definition.
Star Clusters 50mm diameter minimum for open clusters 400mm or longer f/4 - f/16 Use longer focal length for smaller clusters
Nebulae 50mm diameter minimum 150mm lens or short focus telescopes f/2 - f/8 Need greatest possible light collection.
Comets 25mm diameter minimum 100mm lens or short focus telescopes f/2 - f/5.6 Wide angle for tail coverage; long focal length for coma.
Aurora 25mm diameter minimum, fast 28mm - 100mm f/2 - f/4 wide open Wide angle; short exposures to minimize motion.
Meteors and Satellites as available 50mm - 100mm f/2 - f/4 40° - 60° sky coverage

 

 



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