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The trajectories of a charged particle in a magnetic field of rotational symmetry can be characterized by their two integrals of motion: the kinetic energy I 2  2  and the generalized angular momentum I 1 . Orbits with different values of I 1  and I 2  correspond to different points in the I 1  — I 2 -plane. By the aid of this I 1  — I 2 -diagram we easily can get a survey of the allowed and forbidden regions in the meridional plane. In another diagram the boundaries of these regions are transformed into straight lines. Both methods are applied to the field of a magnetic dipole and to that of a circular line-current. By the example of the circular current it is shown how the problem of the so-called particle-loss can be attacked.

Erlaubte und verbotene Gebiete bei der Bewegung elektrisch geladener Teilchen in axial-symmetrischen Magnetfeldern