On the totality of periodic motions in the meridian plane of a magnetic dipole

Details On the totality of periodic motions in the meridian plane of a magnetic dipole On the totality of periodic motions in the meridian plane of a magnetic dipole

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..51..177m&link_type=abstract

Astrophysics and Space Science, vol. 51, no. 1, Sept. 1977, p. 177-186.

Astronomy and Astrophysics

Astrophysics

6

Charged Particles, Geomagnetism, Magnetic Dipoles, Magnetic Equator, Particle Motion, Simple Harmonic Motion, Magnetic Effects, Numerical Integration, Periodic Variations, Tropical Regions

Scientific paper

The structure of the periodic solutions of the Stoermer problem, representing the magnetic field of earth, is examined by considering the equatorial oscillations of the charged particle and their 'vertical' bifurcations with meridian periodic oscillations. An infinity of new families of simple-periodic oscillations is found to exist in the vicinity of the 'thalweg', and four such families are actually established by numerical integration.

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