Notes on the central force R to the N power

Details Notes on the central force R to the N power Notes on the central force R to the N power

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..72...33b&link_type=abstract

Astrophysics and Space Science, vol. 72, no. 1, Sept. 1980, p. 33-53.

Mathematics

9

Classical Mechanics, Field Theory (Physics), Orbital Mechanics, Particle Motion, Two Body Problem, Branching (Mathematics), Equations Of Motion, Numerical Stability, Periodic Variations

Scientific paper

Several results are presented on the classical problem of the two-dimensional motion of a particle in the field of a central force proportional to a real power of the distance r. It is shown that the stable singular circular solutions of the central force problem generalize to stable singular elliptic solutions of the two-fixed-center problem. The stability and bifurcations for other families of the two-fixed-center problem are also described.

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