Skip to main content
SpringerLink
Log in

A Note on Second Species Solutions Generated from p–q Resonant Orbits

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

The first image under the flow of the restricted three-body problem of the p—q resonant strips — that appear in the study of the p—q resonant orbits — do not have, in general, intersection with the strip. In this paper we show some particular situations in which the above intersections exist for some very simple p—q resonant orbits which, at the same time, are periodic second species solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Barrabés, E. and Gómez, G.: 2002, 'Spatial p-q resonant orbits of the RTBP', Celest. Mech. Dyn. & Astr. 84(4), 387–407.

    Google Scholar 

  • Barrabés, E. and Gómez, G.: 2003, 'Three dimensional p-q resonant orbits close to second species solutions', Celest. Mech. & Dyn. Astr. 85(1), 145–174.

    Google Scholar 

  • Belbruno, E. and Marsden, B.: 1997, 'Resonance hopping in comets', Astron. J. 113(4), 1433–1444.

    Google Scholar 

  • Bruno, A. D.: 1994, The Restricted 3-Body Problem: Plane Periodic Orbits (engish translation of Bruno 1990). De Gruyter Expositions in Mathematics 17, Walter de Gruyter, Berlin, New York.

    Google Scholar 

  • Font, J., Nunes, A. and Simó, C.: 2002, 'Consecutive quasi-collisions in the planar circular RTBP', Nonlinearity 15(1), 115–142.

    Google Scholar 

  • Gómez, G. and Ollé, M.: 1986, 'A note on the elliptic restricted three-body problem', Celest. Mech. 39(1), 33–55.

    Google Scholar 

  • Hénon, M.: 1968, 'Sur les orbites interplanetaires qui rencontrent deux fois la terre', Bull. Astron., III. Ser. 3, 377–402.

    Google Scholar 

  • Hénon, M.: 1997, Generating Families in the Restricted Three-Body Problem, Springer-Verlag, Berlin.

    Google Scholar 

  • Koon, W. S., Lo, M. W., Marsden, J. E. and Ross, S. D.: 2001, 'Resonance and capture of Jupiter comets', Celest. Mech. & Dyn. Astr. 81(1-2), 27–38.

    Google Scholar 

  • Poincaré, H.: 1899, Les Méthodes Nouvelles de la Mécanique Céleste, Gauthier-Villars, Tome III.

    Google Scholar 

  • Yen, C. L.: 1985, 'Ballistic Mercury orbiter mission via Venus and Mercury gravity assist', AAS/AIAA Astrodynamics Specialist Conference, Paper AAS 85-346.

Download references

Author information

Authors and Affiliations

  1. Departament d’Informàtica i Matemàtica Aplicada, Universitat de Girona, Av. Lluís Santaló, s/n, 17071, Girona, Spain

    Esther Barrabés

  2. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, IEEC, Gran Via 585, 08007, Barcelona, Spain

    Gerard Gómez

Authors
  1. Esther Barrabés
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gerard Gómez
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barrabés, E., Gómez, G. A Note on Second Species Solutions Generated from p–q Resonant Orbits. Celestial Mechanics and Dynamical Astronomy 88, 229–244 (2004). https://doi.org/10.1023/B:CELE.0000017163.37356.50

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CELE.0000017163.37356.50

Search

Navigation