Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.206...71d&link_type=abstract
Astrophysics and Space Science, Volume 206, Issue 1, pp.71-89
Astronomy and Astrophysics
Astrophysics
2
Scientific paper
Proceeding with our investigation into the motion of a particle influenced by the electromagnetic field of three celestial bodies of a magnetic-dipole nature we give here for the first time the analytical expressions of periodic solutions around a planar equilibrium point. These relations are expansions of the planar equations of motion in series of second order power of a parameter ∈ in the vicinity of equilibria. The above analytical expressions of periodic solutions give the first members of the family of periodic orbits which emanate from a stable equilibrium point. The whole family can then be calculated using a predictor-corrector algorithm.
Desiniotis C. D.
Kazantzis P. G.
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