Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49...31m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 1, 1990, p. 31-42.
Astronomy and Astrophysics
Astronomy
1
Libration, Many Body Problem, Rigid Structures, Rotating Bodies, Equations Of Motion, Hamiltonian Functions, Systems Stability
Scientific paper
Periodic rotations of a rigid body close to the flat motions were found. Their orbital stability was investigated. Analysis was done up to second order of the small parameter. It was proved that solutions found are orbitally stable except of the third order resonance case. This resonance do not appear if terms up to the first order of small parameter are considered only.
Niedzielska Zuzanna
~Maciejewski Andrzej J.
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