A note on a conjecture of Poincare

Details A note on a conjecture of Poincare A note on a conjecture of Poincare

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..24..335g&link_type=abstract

Celestial Mechanics, vol. 24, Aug. 1981, p. 335-343.

Physics

2

Elliptical Orbits, Orbit Calculation, Poincare Problem, Rotating Bodies, Three Body Problem, Two Body Problem, Equations Of Motion, Jacobi Integral, Polar Coordinates, Sidereal Time

Scientific paper

A weakened version of Poincare's conjecture on the density of periodic
orbits of the restricted three-body problem is proved. The measure of
Lebesgue of the set of bounded orbits which are not contained in the
closure of the set of periodic orbits goes to zero when the mass
parameter does.

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