The breakup of quasiperiodic orbits near Jovian resonances

Details The breakup of quasiperiodic orbits near Jovian resonances The breakup of quasiperiodic orbits near Jovian resonances

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...87..103s&link_type=abstract

Icarus (ISSN 0019-1035), vol. 87, Sept. 1990, p. 103-109. Research supported by Merton College.

Statistics

Computation

Asteroids, Computational Astrophysics, Jupiter (Planet), Orbital Resonances (Celestial Mechanics), Solar Orbits, Chaos, Gravitational Effects, Hamiltonian Functions, Periodic Variations, Perturbation Theory

Scientific paper

Quasi-periodic orbits for asteroids are presently studied in a model Hamiltonian with two degrees of freedom, on the basis of a KAM construction-based numerical perturbation method. Construction begins by selecting an unperturbed asteroid orbit with the desired frequency ratio, namely the mean motions of the asteroid and Jupiter, together with some initial asteroid eccentricity. The Lie transform required for finding a quasi-periodic orbit with the same energy and frequency ratio is then developed as a formal series in the perturbation parameter mu.

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