Abstivct Analytic closed orbit analysis is performed to evaluate the tolerance of quadriipole misaiignmeat and dipole errors (&o,ao) in the RHIC insertion. Sensitivity coefficients of these errors are tabulated for different 0' values. Using these sensitivity tables, we found that the power supplies ripple of 10~4 can cause closed orbit motion of 0.05 mm at the IP in comparison with the rms beam site of 0.3 mm. It is desirable to have the power supply ripple less than io-5 .