Abstract
We consider the particular solutions of the evolutionary system of equations in elements that correspond to planar and spatial circular orbits of the singly averaged Hill problem. We analyze the stability of planar and spatial circular orbits to inclination and eccentricity, respectively. We construct the instability regions of both particular solutions in the plane of parameters of the problem.
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Translated from Pis’ma v Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 31, No. 12, 2005, pp. 943–952.
Original Russian Text Copyright © 2005 by Vashkov’yak, Teslenko.
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Vashkov’yak, M.A., Teslenko, N.M. On the stability of particular solutions of the singly averaged Hill problem. Astron. Lett. 31, 844–852 (2005). https://doi.org/10.1134/1.2138772
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DOI: https://doi.org/10.1134/1.2138772