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Abstract: There are many unsolved problems associated with spiral galaxies.One of the biggest unsolved problem of is winding problem. This paper aims at solving the problem by assuming a new theory. It is named as “Rolling theory of arms of spiral galaxies”. It has been explained in detail, considering all the facts about the spiral galaxies.This theory is more appropriate than “standing wave theory”. The paper also illustrates a possible reason for brief x-ray bursts found in many spiral galaxies. This paper also gives satisfactory solution to the constant velocity problem, without the need of dark matter. Thus it solves two of the problems associated with galaxies simultaneously.