Abstract: By using the differential equation of motion of natural coordinate system，a moving ringlet is studied， which is restricted on a parabola shaped orbit ( about x axisymmetric) and on an ellipse shaped orbit respectively.The expression of the constraint reaction force of a ringlet is obtained when it moves to any position. Then the solution is visualized by Mathematica software and the variation law of the constraint reaction force is shown intuitively.Research shows that the constraint reaction force of a parabola shaped orbit is asymmetric. Meanwhile，the constraint reaction force of two shaped orbits concerns the parameters of the orbit，the initial velocity，and the position.The influence of these parameters on the position of the extreme point of the constraint reaction force is also discussed. These results can be applied in engineering design.

Key words: onstraint reaction force, Mathematica, visualize, differential equation of motion, orbit constraint