Inhomogeneous potentials producing homogeneous orbits

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997 English Publisher:WileyJournal:Astronomische Nachrichten, volume 318, pages 313-318 (issn: 0004-6337, eissn: 1521-3994,

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Authors: Bozis, G.; Anisiu, M.-C.; Blaga, C.;

doi: 10.1002/asna.2113180508

Inhomogeneous potentials producing homogeneous orbits

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Abstract

AbstractWe prove that, in general, a given two‐dimensional inhomogeneous potential V(x,y) does not allow for the creation of homogeneous families of orbits. Yet, depending on the case at hand, if the given potential satisfies certain conditions, this potential is compatible either with one (or two) monoparametric homogeneous families of orbits or at most with five such familes. The orbits are then found on the grounds of the given potential.

Related Organizations

Aristotle University of Thessaloniki
Greece
Romanian Academy
Romania

Keywords

Dynamics of a system of particles, including celestial mechanics, two-dimensional potential, monoparametric homogeneous families of orbits

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