Analytic continuation of quasi-periodic orbits from non-linear normal modes

Details Analytic continuation of quasi-periodic orbits from non-linear normal modes Analytic continuation of quasi-periodic orbits from non-linear normal modes

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ads..confq....h&link_type=abstract

AAS and AIAA, Astrodynamics Specialist Conference, Durango, CO, Aug. 19-22, 1991. 22 p.

Mathematics

Degrees Of Freedom, Gravitational Fields, Manifolds (Mathematics), Orbit Calculation, Orbital Elements, Analytic Functions, Equations Of Motion, Liapunov Functions, Numerical Stability, Series Expansion, Time Dependence

Scientific paper

A new theory for analytial continuation of quasi-periodic orbits from
nonlinear normal modes of a gyroscopic, two DOF system in rotating
coordinates is formulated. A 2D manifold of modal solutions is continued
into a 3D manifold with time-dependent velocity field. Nonlinear
stability of the 3D manifold is determined by Liapunov's direct method.

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