Qualitative investigation of motion and frequency in the Lagrange problem.

Details Qualitative investigation of motion and frequency in the Lagrange problem. Qualitative investigation of motion and frequency in the Lagrange problem.

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cosre..30..601s&link_type=abstract

Cosmic Res., Vol. 30, No. 6, p. 601 - 611

Physics

Scientific paper

Bifurcation diagrams of motion integrals are constructed using the method of separation of variables in the Lagrange problem (superposition of central and homogeneous fields), and the dependence of the frequency of quasi-periodic motion on the constants of the first integrals. The possible types of motion, in particular, the circular orbits and their ranges of stability and instability, are investigated. It is proved that the reduced problem is a double-frequency problem and that the initial problem is a triple-frequency problem.

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