Families of long periodic solutions for the perturbed Stoermer problem

Details Families of long periodic solutions for the perturbed Stoermer problem Families of long periodic solutions for the perturbed Stoermer problem

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26as...38....1k&link_type=abstract

Astronomy and Astrophysics Supplement Series, vol. 38, Oct. 1979, p. 1-10.

Mathematics

1

Celestial Mechanics, Orbit Calculation, Orbital Mechanics, Oscillations, Perturbation Theory, Branching (Mathematics), Dynamic Stability, Magnetic Dipoles, Numerical Integration, Runge-Kutta Method

Scientific paper

Twelve families of periodic oscillations bifurcating from the four known simple periodic oscillations of a charged particle in the meridian plane of a magnetic dipole when a perturbing force inversely proportional to the square of the distance (perturbed Stoermer problem), are computed by numerical methods. Most of them form closed curves intersecting the basic families at two different points while the others terminate on the boundary of the region where motion is possible. The stability character of the periodic oscillations found is also examined. Finally, representative orbits of each family are given in tabular and/or graphical form.

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