Relatório de pesquisa 05/08
Pseudo Periodic Orbits of the Planar Collision Restricted 3-Body Problem in Rotating Coordinates, Jaume Llibre and Luci Any Roberto, submitted March 2008.
Abstract
By using the continuation method of Poincar\'{e}, we
characterize the periodic circular orbits and the symmetric periodic
elliptic orbits that can be prolonged from the planar Kepler problem in
rotating coordinates to pseudo periodic orbits of the planar
restricted 3--body problem in rotating coordinates with the two
primaries moving in an elliptic collision orbit.
Mathematics Subject Classifications
(2000): Primary 70F15(70F07).
Keywords: Collision restricted 3{body problem,
continuation method, periodic orbit, symmetric periodic orbit, circular
orbit, elliptic orbit.
Copy
of the file:
rp05-08.pdf
(PDF)
rp05-08.pdf.gz (gzipped PDF)
March 11, 2008
Volta ao
indíce de Relatórios de Pesquisa