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The Secular Resonances in the Solar System

  • Conference paper
Asteroids, Comets, Meteors 1993

Part of the book series: International Astronomical Union / Union Astronomique Internationale ((IAUS,volume 160))

Abstract

In the last three years new studies on secular resonances have been done. The second-order and fourth-degree secular perturbation theory of Milani and Knežević allowed to point out the effect of mean motion resonances on the location of the linear and non linear secular resonances. Moreover this theory improved the knowledge of the exact location of the g = g 6 (i.e. v 6) resonance at low inclination. Morbidelli and Henrard revisited the semi-numerical method of Williams, taking into account the quadratic terms in the perturbing masses. They computed not only the location of secular resonances, but also provided a global description of the resonant dynamics in the main secular resonances namely g = g 5 (i.e. v 5), g = g 6 (i.e. v 6) and s = s 6 (i.e. v 16). The resonant proper element algorithm developed by Morbidelli allows to identify the dynamical nature of resonant objects, and is a powerful tool to study the mechanisms of meteorite transport to the inner Solar System. Purely numerical experiments have been done, which show : (i) the complexity of the dynamics when two resonances overlap; (ii) the efficiency of successive crossings of non linear resonances in pumping up the inclination of small bodies; (iii) the efficiency of the secular resonance v 6 as a source of meteorites up to 2.4 AU.

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Author information

Authors and Affiliations

  1. O.C.A.Laboratoire G.D. Cassini, CNRS URA 1362, B.P.229, F-06304, Nice Cedex 4, France

    Christiane Froeschle

  2. O.C.A.Laboratoire Cerga, CNRS URA 1360, B.P.229, F-06304, Nice Cedex 4, France

    Alessandro Morbidelli

Authors
  1. Christiane Froeschle
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  2. Alessandro Morbidelli
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Italy

    A. Milani

  2. Osservatorio Astronomico di Torino, Pino Torinese, Italy

    M. Di Martino  & A. Cellino  & 

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© 1994 Springer Science+Business Media Dordrecht

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Froeschle, C., Morbidelli, A. (1994). The Secular Resonances in the Solar System. In: Milani, A., Di Martino, M., Cellino, A. (eds) Asteroids, Comets, Meteors 1993. International Astronomical Union / Union Astronomique Internationale, vol 160. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1148-5_14

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  • DOI: https://doi.org/10.1007/978-94-011-1148-5_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-2881-0

  • Online ISBN: 978-94-011-1148-5

  • eBook Packages: Springer Book Archive

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