Resonances and the stability of stationary points around a central body

  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

Revue:
Journal of the Astronautical Sciences

ISSN: 0021-9142

Année de publication: 2012

Volumen: 59

Número: 1-2

Pages: 5-20

Type: Article

SCOPUS: 2-s2.0-84901231719 WoS: WOS:000209125300003 GOOGLE SCHOLAR

D'autres publications dans: Journal of the Astronautical Sciences

Projets liés

Formas normales en sistemas dinámicos hamiltonianos: aplicaciones en Física y Química

2012/00015/001

FORMAS NORMALES EN SISTEMAS DINÁMICOS HAMILTONIANOS: ASPECTOS TEÓRICOS Y APLICACIONES.

2009/00017/001

Résumé

The question of Lyapunov stability of stationaiy points around a central body has been studied in the 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 article, we deal with these resonances and apply appropriate results to establish the stability properties of the stationary points.