The trajectories of charged particles moving in a magnetic dipole field were calculated by numerical integration for application to data on the intensity variation of cosmic rays during recent solar events. All seasons and times of day were covered by assuming a range of orientations of the incident particle beam with respect to the magnetic dipole axis. The points of impact with the earth were determined for protons with energies from 0.05 to 50 Bev. The computation includes 4000 trajectories and fills gaps in previous investigations. In agreement with earlier calculations the results indicate that the protons strike in well-defined areas between 0 and 1200 hours local time, and are focused into small areas of impact at low energies. The investigation revealed two points that are not new but received relatively little attention in earlier work. First, the relative number of impacts in the northern and southern geomagnetic hemispheres is strongly dependent on season. Second, under certain conditions of season there is a class of trajectories, which may be called quasi-trapped, constituting a set of paths resembling the trapped trajectories first discovered by Stormer but connected to infinity. It is suggested that injection into trapped orbits from these quasi-trapped trajectoriesmore » may raake a contribution to the population of the Van Allen belts. (auth)« less