Authors
Citation
G. Bozis et E. Meletlidou, NONINTEGRABILITY DETECTED FROM GEOMETRICALLY SIMILAR ORBITS, Celestial mechanics & dynamical astronomy, 68(4), 1997, pp. 335-346
Citations number
13
Journal title
ISSN journal
09232958
Volume
68
Issue
4
Year of publication
1997
Pages
335 - 346
Database
ISI
SICI code
0923-2958(1997)68:4<335:NDFGSO>2.0.ZU;2-T
Abstract
H. Yoshida's criterion of nonintegrability is restated in the light of
the inverse problem of dynamics. It is shown that, given a monoparame
tric family of geometrically similar orbits, one may be able to assert
nonintegrability of all or some homogeneous potentials of integer deg
ree m(not equal 0, +/- 2) which can produce this family.