Families of periodic orbits in a quartic potential

Details Families of periodic orbits in a quartic potential Families of periodic orbits in a quartic potential

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...141..383c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 141, no. 2, Dec. 1984, p. 383-388.

Mathematics

14

Milky Way Galaxy, Orbit Calculation, Potential Theory, Stellar Motions, Branching (Mathematics), Graphs (Charts), Kinematics, Periodic Variations

Scientific paper

The characteristic curves of several families of periodic orbits in a two-dimensional quartic potential field symmetric with respect to both axes x and y are explored. Two types of families are found: (a) regular families which are connected with the families of the unperturber system and (b) irregular families not connected with the above. It is shown that some features of the regular families can be explained by means of a second formal integral of motion. The present results are compared with the results of an earlier study of families of periodic orbits in a cubic potential.

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