Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..81..279m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 81, Issue 4, p. 279-297 (2001).
Astronomy and Astrophysics
Astronomy
2
Autonomous Hamiltonian Systems, Bifurcation Index, Global Bifurcations Of Periodic Solutions
Scientific paper
We describe global bifurcations of non-stationary periodic solutions of the Hill Lunar Problem. Especially we are interested in description of closed connected sets (continua) of non-stationary periodic solutions which bifurcate from stationary ones. Such continua of solutions of the Hill Lunar Problem are not admissible in H^1_2π\Λ(H). For the Regularized Hill Lunar Problem we prove that these families are unbounded in H^1_2π. As the main tool we use degree theory for SO(2)-equivariant orthogonal maps defined by S.M. Rybicki.
Rybicki S. M.
~Maciejewski Andrzej J.
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