The famous Chapman-Ferraro problem form the determination of the magnetospheric cavity is elucidated for its two-dimensional solutions in mathematical detail. The general solution presented in this paper amounts to a complex variable extension of the well-known Poisson's intergral formula for the Dirichlet problem for a half-plane or a circle domain. It provides the needed methodology for obtaining desirable solutions that avoid the defects ingerent in the Dungey-Hurley solution, which uses Ferraro's approximation of pressure balance as the boundary condition.[埋込みオブジェクト:/media/k2/attachments/v102p397.pdf]
Published by The Chinese Geoscience Union