Abstract
The trajectory of the electron injected in the127° cylindrical electrostatic spdctrometer(the main path radius is 90 mm and the slit width is0.5mm)is numerically computed in a second order approximation, and the results are compared with the Wollnik theory. His theory is also effective for the inhomogeneous field; but the numerical analysis is necessary to determine the accurate main path conditions. The position of the electron at the exit can be given in an accuracy less than 0.04percent by a second order solution. With the aid of this solution, the energy distribution of the electron beam coming out through the spectrometer, which has a movable collimator, is computed. The resolution is determined by the main path radius and the beam width at the ideal boundary.
