Abstract
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 of 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.
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© 1997 Kluwer Academic Publishers
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Abad, A., Belizón, F. (1997). Application of the Gauss’ Method to the Stellar Three Body Problem. In: Docobo, J.A., Elipe, A., McAlister, H. (eds) Visual Double Stars: Formation, Dynamics and Evolutionary Tracks. Astrophysics and Space Science Library, vol 223. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1477-3_37
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DOI: https://doi.org/10.1007/978-94-009-1477-3_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7161-1
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