Analytical Solutions around Planar Equilibria of Three Dipole Problem

Details Analytical Solutions around Planar Equilibria of Three Dipole Problem Analytical Solutions around Planar Equilibria of Three Dipole Problem

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.

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