Resonances and the stability of stationary points

  1. Elipe, A. 2
  2. Lanchares, V. 1
  3. Pascual, A.I. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Llibre:
Advances in the Astronautical Sciences

ISBN: 978-087703565-7

Any de publicació: 2011

Volum: 139

Pàgines: 3-19

Tipus: Capítol de llibre

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SCOPUS: 2-s2.0-80053405669 WoS: WOS:000309482700002 GOOGLE SCHOLAR

Resum

The question of Lyapunov stability of stationary points around a central body has been studied in absence of resonances and in the case of resonances of order 3 and 4, by means of the computation of the normal form up to second order. However, some special degenerate cases are not covered, as it happens for resonances of order 5 and 6, when the free parameters of the problem are chosen properly. In this paper we deal with these resonances and apply appropriate results to establish the stability properties of the stationary points.

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Informació de finançament

Supported by the Spanish Ministry of Science and Technology (Projects # MTM 2008-03818 and # AYA2008-05572).

Finançadors

  • Spanish Ministry of Science and Technology
    • MTM 2008-03818
    • AYA2008-05572