The Role of the Inclination in the Captures in External Resonances in the Three Body Problem

Authors: Jancart S.¹; Lemaitre A.²; Letocart V.³

Source: Celestial Mechanics and Dynamical Astronomy, Volume 86, Number 4, August 2003 , pp. 363-383(21)

Publisher: Springer

Abstract:

Interested in the role of the inclination in our results (Jancart and Lemaitre, 2001), we analyze the process of resonance trapping due to general dissipation forces in the frame of the spatial restricted three body problem and in the case of external mean motion resonances. We compute our simulations by using the three-dimensional Extended Schubart Averaging integrator developed by Moons (1994) for all mean motion resonances. We complete it by adding the averaged contributions of general dissipative forces like Murray has proposed in the article (1994). The behavior of the inclination is especially pointed out.

Keywords: Schubart averaging; dissipative forces; resonance trapping; inclination

Language: English

Document Type: Research article

Affiliations: 1: Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgium, e-mail: sylvie.jancart@fundp.ac.be 2: Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgium 3: Institut d’informatique FUNDP, 21, Rue Grandgagnage, B-5000 Namur, Belgium

Publication date: 2003-08-01

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• In this Subject: Astronomy
• By this author: Jancart S. ;  Lemaitre A. ;  Letocart V.

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