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It depends upon what you mean by a fair way off, Roger. If the target
is no more than half way to the edge of the field of view in your low
power eyepiece [around 25mm], that would be considered acceptable.
You will probably notice an improvement during a long viewing session if you do another alignment during that session. You will find that the accuracy will be fairly poor if your chosen alignment stars are too close together, in which case the accuracy will drop off the further away from those stars your target is. It also helps a bit if you use an illuminated reticle eyepiece to make sure your alignment stars are dead centre.
raymo
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