Nonintegrability Detected from Geometrically Similar Orbits

Nonintegrability Detected from Geometrically Similar Orbits

H. Yoshida's criterion of nonintegrability is restated in the light of the inverse problem of dynamics. It is shown that, given a monoparametric family of geometrically similar orbits, one may be able to assert nonintegrability of all or some homogeneous potentials of integer degreem (≠ 0, ± 2)...

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Veröffentlicht in:Celestial mechanics and dynamical astronomy 1997-08, Vol.68 (4), p.335-346
Hauptverfasser: Bozis, G, Meletlidou, E
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Orbits
Studies
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Zusammenfassung:H. Yoshida's criterion of nonintegrability is restated in the light of the inverse problem of dynamics. It is shown that, given a monoparametric family of geometrically similar orbits, one may be able to assert nonintegrability of all or some homogeneous potentials of integer degreem (≠ 0, ± 2)which can produce this family.[PUBLICATION ABSTRACT]
ISSN:0923-2958
1572-9478
DOI:10.1023/A:1008248706829