Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cha%26a..17..442f&link_type=abstract
Chinese Astronomy and Astrophysics, Volume 17, Issue 4, p. 442-448.
Astronomy and Astrophysics
Astrophysics
General Attraction, N-Body Problem
Scientific paper
The existence of homographic solutions of the N-body problem with a geneva attraction is verified, and the way which leads to obtaining certain types of homographic solutions is indicated. Basic properties of the solutions, such as the relations between the dynamical quantities and the initial conditions are presented. Furthermore, we proved that, for k is not equal to 3, if a homographic solution is not planar, it must be homothetic. And in this case, another important conclusion is that the configurations corresponding to any homographic solution are central configurations. Finally, we showed that along each homographic solution, motion of any individual mass point observes the same rules as the ones observed by mass points of a certain two-body system.
Fu Yan-Ning
Sun Yi-Sui
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