Equilibria of Seeliger's Problem. Analytic Approach

Details Equilibria of Seeliger's Problem. Analytic Approach Equilibria of Seeliger's Problem. Analytic Approach

Sep 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010pobeo..90...37p&link_type=abstract

Publications of the Astronomical Observatory of Belgrade, vol. 90, pp. 37-42

Astronomy and Astrophysics

Astronomy

Scientific paper

We offer a deeper insight into the two-body problem associated to Seeliger's potential. We resort to McGehee-type transformations to write the motion equations and the integrals of energy and angular momentum. Then we search for equilibria, considering the whole interplay among the parameter A of the field, the constant K of the field, and the integration constants of energy h and angular momentum C. We find the number of equilibria for each such situation.

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