Convergence of series representing the integral of the orbital resonance equation

Details Convergence of series representing the integral of the orbital resonance equation Convergence of series representing the integral of the orbital resonance equation

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mamea...3...93e&link_type=abstract

Sankt-Peterburgskii Universitet, Vestnik, Seriia 1 - Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), no. 3, p. 93-95.

Mathematics

Convergence, Integral Equations, Orbital Resonances (Celestial Mechanics), Orbital Mechanics, Series (Mathematics)

Scientific paper

The first integral of the orbital resonance equation, obtained previously by computer algebra methods, is analyzed. Under the assumption of the analyticity of the right term of the equation, it is demonstrated that the Poisson series representing the integral converges in a domain of a cylindrical phase space containing the coordinate origin is proved.

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