Nonintegrability Detected from Geometrically Similar Orbits

Details Nonintegrability Detected from Geometrically Similar Orbits Nonintegrability Detected from Geometrically Similar Orbits

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..335b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 4, pp.335-346

Astronomy and Astrophysics

Astronomy

1

Inverse Problem, Integrability Coefficient

Scientific paper

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.

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