Statistics – Computation
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49..151h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 2, 1990, p. 151-176.
Statistics
Computation
4
Computational Astrophysics, Degrees Of Freedom, Equations Of Motion, Orbital Resonances (Celestial Mechanics), Astronomical Coordinates, Fourier Series, Time Series Analysis
Scientific paper
A new theory is formulated for the analytic continuation of periodic (and aperiodic) orbits from equilibrium solutions of a two-degree-of-freedom dynamical system in rotating coordinates. Away from resonance, a family of nonlinear, normal-mode orbits defines an autonomous velocity field represented by convergent algebraic-series expansions in two position variables. This approach is useful for determining the global structure of solution curves and nonlinear stability of normal modes using Liapunov's direct method. At resonance, the series coefficients are time dependent because stationary modes are incompatible with the equations of motion. By eliminating small divisors, explicit time dependence provides a natural transition from nonresonance to resonance cases within the same theory.
No associations
LandOfFree
Analytic continuation of periodic orbits from equilibria of two-degree-of-freedom systems in rotating coordinates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytic continuation of periodic orbits from equilibria of two-degree-of-freedom systems in rotating coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic continuation of periodic orbits from equilibria of two-degree-of-freedom systems in rotating coordinates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-984720