Escape regions of a quartic potential

Details Escape regions of a quartic potential Escape regions of a quartic potential

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48...57b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 1, 1990, p. 57-77.

Statistics

Computation

4

Eccentric Orbits, Escape Velocity, Galactic Structure, Liapunov Functions, Computational Astrophysics, Degrees Of Freedom

Scientific paper

The escape regions of a quartic potential and the main types of irregular periodic orbits are investigated. Because of the symmetry of the model, the zero velocity curve consists of four symmetric arcs forming four open channels around the lines y = + or - x through which an orbit can escape. Four unstable Liapunov periodic orbits bridge these openings. An infinite sequence of families of periodic orbits which is the outer boundary of one of the escape regions and several infinite sequences of periodic orbits inside this region that tend to homoclinic and heteroclinic orbits have been found.

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