In 1933, W. F. G. Swann suggested a mechanism according to which charged particles could acquire cosmic ray energies by what is now called "betatron action" in the stars. The original paper was based on rather abstract dynamical considerations, and while the validity of the conclusions is generally accepted, some have not sensed the complete implications of the theory. For this reason, a simplified development applicable to the special problem involved has been worked out verifying the original conclusions. It is also shown that difficulties raised in respect of the theory and founded upon relativistic considerations on the one hand and the high electrical conductivity of space on the other hand are without fundamental foundation.
Extension of the Accderation Mechanism to Galaxies. It is shown that the mechanism can be extended to changing magnetic fields in galaxies and, under what would appear to be permissible assumptions as to relevant magnitudes assumed, extremely large cosmic ray energies can result.
Limitation of Interstellar Space Current Density. It is pointed out that, however great the conductivity of interstellar space may be, there is a maximum current density which cannot be exceeded for a given ionic density. This current density is nec, where n is the number of charged particles per cc. In the case where n = 1, the current density cannot exceed about 5 X 10 -9 ampere per square centimeter. Various aspects of these considerations have been developed.