Method for constructing a formal third integral of motion in cases of resonance

Details Method for constructing a formal third integral of motion in cases of resonance Method for constructing a formal third integral of motion in cases of resonance

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53..867o&link_type=abstract

Astronomicheskii Zhurnal, vol. 53, July-Aug. 1976, p. 867-878. In Russian.

Astronomy and Astrophysics

Astronomy

Equations Of Motion, Gravitational Fields, Hamiltonian Functions, Integral Equations, Orbital Mechanics, Resonance, Stellar Motions, Degrees Of Freedom, Hamilton-Jacobi Equation, Orbital Resonances (Celestial Mechanics), Periodic Functions

Scientific paper

The possibility of using Kruskal's method (1962) to construct a formal third integral of motion in cases of orbital resonance is examined together with the possibility of applying it to stellar dynamics. Explicit expressions for the first three terms in the expansion of the integral are obtained for Hamiltonian systems with two degrees of freedom and unperturbed periodic orbits.

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