The symplectic character of the three-dimensional magnetic-binary problem

Details The symplectic character of the three-dimensional magnetic-binary problem The symplectic character of the three-dimensional magnetic-binary problem

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..255k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 2, Oct. 1983, p. 255-259.

Mathematics

1

Binary Stars, Celestial Mechanics, Magnetic Stars, Particle Motion, Electrodynamics, Equations Of Motion, Magnetic Dipoles, Matrices (Mathematics), Orbits

Scientific paper

Reference is made to a study by Kalvouridis and Mavraganis (1982), which formed the matrix that introduces the symplectic character of the planar motions in the magnetic-binary problem. To make the investigation of the three-dimensional magnetic-binary problem more effective, the symplectic character of the solutions to be studied are dealt with by seeking the general form of the matrix by which this character is expressed. The terminology is the same as that used by Mavraganis (1978). The syzygies axis is taken as the x-axis of the rotating coordinate system, and the two primaries are regarded as spherical bodies having magnetic (dipole) fields with moments oriented along the constant axis in this system. By introducing the ratio of these moments' magnitudes and the mass parameter, the model that is to be used is completely determined.

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