The high-eccentricity libration of the Hildas. II - Synthetic-theory approach

Details The high-eccentricity libration of the Hildas. II - Synthetic-theory approach The high-eccentricity libration of the Hildas. II - Synthetic-theory approach

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..121m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 121-129.

Mathematics

Dynamical Systems

7

Asteroids, Jupiter (Planet), Libration, Numerical Integration, Orbital Resonances (Celestial Mechanics), Solar Orbits, Dynamical Systems, Equations Of Motion, Fourier Transformation, Nyquist Frequencies, Power Spectra

Scientific paper

Regular motions of asteroids near the 3:2 resonance with Jupiter (Hildas) are analyzed using precise numerical integrations. The filtered output of the numerical integration is analyzed with Fourier techniques to recover the long-period spectral lines and their corresponding amplitudes and phases. The most interesting results obtained for the pericentric librations show that the spectra has two independent modes of free and forced librations.

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