Hill curves in the invariable plane of the general three-body problem

Details Hill curves in the invariable plane of the general three-body problem Hill curves in the invariable plane of the general three-body problem

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983acasn..24..158c&link_type=abstract

(Acta Astronomica Sinica, vol. 24, no. 1-3, 1983, p. 158-164) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 7, Dec.

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Hill Method, Three Body Problem, Curves, Inequalities, Minima, Oscillations

Scientific paper

A basic inequality derived by Chen (1979) for the general three-body
problem is used to study the Hill curves in the invariant plane of that
problem. The oscillation of these curves with the scale parameter rho is
discussed in detail. The results for the oscillations are illustrated
for the case of three equal masses.

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