Understanding Libration Via Time-Frequency Analysis

Details Understanding Libration Via Time-Frequency Analysis Understanding Libration Via Time-Frequency Analysis

Feb 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997aj....113..863g&link_type=abstract

Astronomical Journal v.113, p.863

Astronomy and Astrophysics

Astronomy

14

Methods: Numerical, Time, Solar System: General

Scientific paper

Numerical integrations of resonant particles in the Solar System show that the libration is in general a more complex motion than that given by simplified analytical models. To obtain a more comprehensive view of the libration we propose a time-frequency analysis, valid for regular and chaotic motion, based on the time evolution of the local behavior of the motion. The local behavior is characterized by the frequency, amplitude, and center around which the analyzed variable oscillates. These parameters are deduced from the power spectrum obtained with a relative small time-span of the total numerical integration. We applied this method to the planet Pluto obtaining a chaotic component in the time evolution of its libration amplitude. We also analyze other exterior resonances with Neptune in the Kuiper disc.

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