Periodic orbits in a three-dimensional potential

Details Periodic orbits in a three-dimensional potential Periodic orbits in a three-dimensional potential

Jun 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...122..137h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 122, no. 1-2, June 1983, p. 137-142. In French.

Astronomy and Astrophysics

Astrophysics

4

Celestial Mechanics, Orbital Mechanics, Periodic Variations, Potential Theory, Stellar Motions, Three Dimensional Motion, Astrodynamics, Elliptical Galaxies, Equations Of Motion, Periodic Functions

Scientific paper

Two families of periodic orbits in a three-dimensional potential of astronomical interest are described. The potential is the one suggested by Martinet and Magnenat. All orbits have the same energy and start from the (x,y) plane with a velocity perpendicular to this plane. An orbit belonging to family 1P (resp. 2P) crosses once (resp. twice) the plane (x,y) with ż > 0 before closing on itself. Orbits of family 1P are found to be approximately plane. This unexpected property is demonstrated using a theorem by Moser.

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