It is difficult to use traditional bearings for the telescope base in extreme environments, and the use of spliced arc guides  can solve this problem. This paper studies the change of the friction force of the arc motion rolling guide under the  condition of splicing error. In this paper, simulation methods are used to explore the speed change of the arc guide under  different splicing error conditions, the Coulomb model is used to calculate the friction force change, and then the  polynomial fitting is used to observe its fluctuation. The research results show that when the splicing error is 0.005 mm  and 0.01 mm, the friction force of the arc motion rolling guide is roughly 10-15 N. Moreover, when the splicing error is  0.01 mm, the frictional force changes more discretely.