New types of motion in Stoermer's problem

Details New types of motion in Stoermer's problem New types of motion in Stoermer's problem

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..32..115m&link_type=abstract

Astrophysics and Space Science, vol. 32, Jan. 1975, p. 115-138.

Astronomy and Astrophysics

Astrophysics

12

Boundary Value Problems, Electron Trajectories, High Energy Electrons, Magnetic Dipoles, Radiation Belts, Relativistic Particles, Astronomical Models, Equations Of Motion, Geomagnetism, Magnetically Trapped Particles, Motion Stability, Periodic Functions

Scientific paper

Application of boundary value techniques in the case of an electron performing relativistic motions within a magnetic dipole such as that of the earth supplemented by a scanning process by means of which the entire phase space of the problem can be investigated, six new types of periodic motion have been discovered and computed. The stability of these motions is investigated and their direct bearing on formation and shape of the Van Allen zones of the earth is discussed.

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