Astronomy and Astrophysics – Astronomy
Scientific paper
May 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68...43a&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 1, pp.43-51
Astronomy and Astrophysics
Astronomy
1
Three Body Problem, Multiple Stars, Elliptic Integrals
Scientific paper
In this paper, we deal with the stellar three body problem, that is one star is far away from the other two stars. The outer orbit is assumed to be Keplerian. To analyze the effect of the distant star on the orbit of the close stars, we use the Gauss method; this method consist in replacing the gravitational attraction of the third star by the gravitational attraction of an infinitesimal non-homogeneous elliptic ring. We obtain the force vector for the Gauss method in terms of elliptic integrals. Finally we compare the results obtained by this model with the classical third body model.
Abad Alberto
Belizón Fernando
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