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Inhomogeneous potentials producing homogeneous orbits
Author(s) -
Bozis G.,
Anisiu M.C.,
Blaga C.
Publication year - 1997
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113180508
Subject(s) - homogeneous , physics , astronomy , astrophysics , classical mechanics , statistical physics
We 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.