SOME THEOREMS CONCERNING THE MOTION OF AN ELECTRICALLY CHARGED PARTICLE IN A DIPOLE MAGNETIC FIELD
RAND CORP SANTA MONICA CA
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Various theorems related to the application to cosmic rays of the theory of the motion of an electrically charged particle in a dipole magnetic field are proved. The theorems are essentially those conjectured by Schremp. In making the proofs, it is assumed that the so called trajectories of the first and second kinds have certain proper ties in the large. These properties can be verified numerically and by series expansions in any particular case.
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