More Properties of Migma Orbits

FEC is supporting a continuing investigation of the properties of high momentum, single particle orbits in an azimuthally symmetric ´mirror´ magnetic field. Results have been obtained in several areas. Here we report calculations leading to a Hill´s equation describing stable perturbations on midplane orbits in a field dominated as to shape by its quadratic terms. The results of some numerical tests are also presented, indicating that the equation may be of useful accuracy over an interesting range of parameters.