Abstract
Our research combines mean motion resonances and dissipative forces in the averaged elliptic spatial restricted three-body problem. The models presented can be applied in many contexts mixing resonances and dissipations,e.g., asteroid belt, transneptunian region, exoplanets, systems of planetary rings, etc. We propose a semi-numerical model that simulates the behaviour of test particles under the effect of generic forces, functions of powers of the position and/or of the velocity. This model is valid for any orbital eccentricities or inclinations, even at high values. Captures around symmetric and asymmetric equilibria are reproduced and the apparitions of a plateau of inclination for long periods of time are dectected.
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Beaugé, C. and Ferraz-Mello, S.: 1993, ‘Resonance Trapping in the Primordial Solar Nebula: The Case of a Stokes Drag’ Icarus 103, 301–318.
Beaugé, C. and Ferraz-Mello, S.: 1994, ‘Capture in Exterior Mean Motion Resonances Due to Poynting-Robertson Drag’ Icarus 110, 239–260.
Beaugé, C. and Ferraz-Mello, S:1994 ‘Asymmetric Librations in Exterior Resonances’ Celestial mechanics and Dynamical astronomy 60,225–248.
Gomes, R.: 1995, ‘The Effect of Nonconservative Forces on Resonance Lock: Stability and Instability’ Icarus 115, 47–59.
Gomes, R.: 1995, ‘Erratum: The Effect of Nonconservative Forces on Resonance Lock: Stability and Instability’ Icarus 117, 218.
Gomes, R.: 1997, ‘Orbital Evolution in Resonance Lock. I. The Restricted 3-body Problem’ The Astronomical Journal 114(5), 2166–2176.
Jancart, S. and Lemaitre, A.: 2001, ‘Dissipative Forces and External Resonances’ Celestial Mechanics and Dynamical Astronomy 81, 75–80.
Jancart, S., Lemaitre, A., and Letocart, V.: 2003, ‘The Role of the Inclination in the Captures in External Resonances in the Three Body Problem’ Celestial Mechanics and Dynamical Astronomy, 86, 363–383.
Moons, M.: 1994, ‘Extended Schubart Averaging’ Celestial Mechanics and Dynamical Astronomy 60, 173–186.
Murray, Carl. D.: 1994, ‘Dynamical Effects of Drag in the Circular Restricted Three-body Problem’ Icarus 112, 465–484.
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Jancart, S., Lemaitre, A. Tridimensional Dissipative Semi-Numerical Model. Earth, Moon, and Planets 92, 63–71 (2003). https://doi.org/10.1023/B:MOON.0000031925.96102.be
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DOI: https://doi.org/10.1023/B:MOON.0000031925.96102.be