Equatorial orbits in superposed dipole and uniform magnetic fields

Details Equatorial orbits in superposed dipole and uniform magnetic fields Equatorial orbits in superposed dipole and uniform magnetic fields

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.124..159k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 124, no. 1, July 1986, p. 159-185.

Astronomy and Astrophysics

Astrophysics

1

Earth Magnetosphere, Equatorial Orbits, Magnetic Dipoles, Planetary Magnetic Fields, Charged Particles, Geomagnetic Tail, Interplanetary Magnetic Fields, Lagrange Multipliers, Particle Motion

Scientific paper

In the present work the equatorial motions of charged particles that are performed within a field consisting of the superposition of a dipole field - that could represent the magnetic field of a planet - and a uniform magnetic field normal to the dipole's equator are studied. A nondimensional coordinate system in which the velocity of the charged particle is unit is used. The model depends on two parameters: the constant of the generalized momentum, and the parameter of the interplanetary magnetic field. It is proved that the motion is always bounded. The regions of the motion and the corresponding orbits are studied with respect to the constant of the generalized momentum. Conditional periodic and asymptotic orbits are also investigated numerically.

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