Physics
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sssmp..28..638m&link_type=abstract
Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences (ISSN 0253-5831), vol. 28, June 1985, p.
Physics
Branching (Physics), Celestial Mechanics, Many Body Problem, Moments Of Inertia, Anomalies, Evolution (Development), Inequalities, Theorem Proving
Scientific paper
The bifurcation curves between the attainable domain and the forbidden domain for the 'mean quadratic distance' rho in the many-body problem, are obtained. The properties of the bifurcation curves are analyzed, and the results are discussed. In the case of negative energy systems, rho cannot be smaller than the generalized semi-axis for a duration larger than T/2, where T is the period, i.e., T = 2Pi sq rt a cubed/mu, the gravitational constant.
Marchal Christian
Sun Yadong
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