Characteristic exponents of periodic solutions to Hamiltonian systems

Details Characteristic exponents of periodic solutions to Hamiltonian systems Characteristic exponents of periodic solutions to Hamiltonian systems

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987izssr....r..42b&link_type=abstract

Akademiia Nauk SSSR, Izvestiia, Mekhanika Tverdogo Tela (ISSN 0572-3299), Mar.-Apr. 1987, p. 42-51. In Russian.

Computer Science

Canonical Forms, Differential Equations, Hamiltonian Functions, Numerical Stability, Periodic Functions, Approximation, Planetary Gravitation, Planetary Rotation, Rotary Stability, Solar Planetary Interactions, Venus (Planet)

Scientific paper

The stability of periodic solutions to a canonic system of differential equations of a special kind, the so-called principal dynamics problem, is analyzed using a linear approximation. The characteristic exponents of the principal and some degenerate periodic solutions are determined approximately, and their structure is investigated. The results are applied to the study of the necessary conditions for the rotational stability of Venus in the context of a model of its plane motion in the compound gravitational field of the earth and the sun.

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