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I am motorizing a dobsonian telescope. I have read many accounts of success and the steps involved. The places where detail is commonly left out are: defining worm gear ratio/size and stepper motor oz*in.

I understand the basic problem here, I need to find out force required to rotate the base of the telescope at different distances from it's axis. With the current amount of friction(which will change after a small redesign), I have measured that it requires approximately 2 lbs 15 ounces of force to rotate the base 9 inches from it's axis.

What I really need help with initially is how to extrapolate that data when moving closer to the axis. After that I can begin to calculate gear ratio, stepper motor strength and build my circuits. Some equation where I can input force required and distance from axis.

Any help would be GREATLY appreciated