The areas of motion in the three dipole problem

Details The areas of motion in the three dipole problem The areas of motion in the three dipole problem

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.205..305d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 205, no. 2, p. 305-326.

Astronomy and Astrophysics

Astrophysics

3

Celestial Bodies, Charged Particles, Electromagnetic Fields, Magnetic Dipoles, Particle Motion, Lagrangian Function, Three Body Problem

Scientific paper

In this article we give for the first time the qualitative characteristics of the areas of motion for a charged particle moving under the influence of the electromagnetic field of three dipoles located on a system of three celestial bodies. Using the steepest descent method we define the zero velocity curves of these areas for a variety of values of the electromagnetic parameters of the problem. So we reveal the trapped areas of motion of the charged particle called Van-Allen zones. As the parameters of this problem tend to zero the Stormer's and magnetic binary problems appear in a general form.

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