How to calculate the rotation degree of tick marks

Hello Again,
Thanks to so much help that I received here, I've been able to move right along in learning how to perform my job digitally instead of with an old camera. 
In my last discussion, I learned out to make the tick marks using copies and rotation.  My question now is, how is the rotation calculated so A) I get the correct placement of the tick marks, especially the small ones as there are so many and B) how do I calculate the rotation degree so that I have the proper amount of space at the bottom of the guage/dial?
Here is an image to help show what I'm asking:
I know how to get the large tick marks and the small tick marks, if I were placing them evenly around the entire circle, I would know how to do that also - but since I'm placing them around only a portion of the circle (although still evenly) I'm lost.  I can only figure out the space by hit and miss calculations and that is taking much too long.  I would also need to know how much to rotate the entire thing by in order to get the open space at the bottom as shown.
thanks for your help!

You need to use transform effects and you can get this in about 10 or so minutes.
first you need to set up the objects.
the thick lines I used effect>distort and transform>transform 20 copies angle 14
thi ones 100 copies angle 2,8
G

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