Resonance trapping of planetesimals subject to gas drag: The location of corotation points

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Solar System: Formation, Planets And Satellites: General

Scientific paper

We present two methods to determine corotation equilibrium points for the elliptical, restricted three body problem with a dissipative force. We show that our first order method is valid for high planetary eccentricity and determine corotation points for interior resonances, an improvement in respect with previous analytical first order methods, however it fails to determine the equilibrium points for the case of the extended corotation resonances. We develop another generic method which determines the solutions for this case. This method gives the corotation points with extreme accuracy for all cases (exterior, interior and extended). We compare our results with numerical integrations of the complete N-body equations in order to determine the accuracy of the points determined by both methods. Figures 2 to 4, 6 to 17 are only available in electronic form at http://www.edpsciences.org

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