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Symmetric periodic orbits in proto-stellar systems

Published online by Cambridge University Press:  28 February 2005

Vasile Mioc ,
Mira-Cristiana Anisiu  and
Magda Stavinschi
Vasile Mioc
Affiliation:
Astronomical Institute of the Romanian Academy, Str. Cuţitul de Argint 5, RO-040557 Bucharest, RO email: [email protected], [email protected]
Mira-Cristiana Anisiu
Affiliation:
T. Popoviciu Institute of Numerical Analysis of the Romanian Academy, P.O. Box 68, RO-400110 Cluj-Napoca, RO email: [email protected]
Magda Stavinschi
Affiliation:
Astronomical Institute of the Romanian Academy, Str. Cuţitul de Argint 5, RO-040557 Bucharest, RO email: [email protected], [email protected]
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Abstract

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We approach the dynamics in proto-stellar systems via the two-body problem associated to an anisotropic Schwarzschild-type potential. On the basis of the natural symmetries of the characteristic vector field, and using variational methods (particularly the classical lower-semicontinuity method), we prove the existence of infinitely many families of symmetric periodic orbits.To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Keywords

Celestial Mechanicsmethods: analytical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2004 , Issue IAUC197 , August 2004 , pp. 467 - 470
Copyright
© 2005 International Astronomical Union