A note on lower bounds for relative equilibria in the main problem of artificial satellite theory

  1. Ferrer, S. 1
  2. San-Juan, J.F. 2
  3. Abad, A. 3
  1. 1 Universidad de Murcia
    info

    Universidad de Murcia

    Murcia, España

    ROR https://ror.org/03p3aeb86

  2. 2 Universidad de La Rioja
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    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

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Revista:
Celestial mechanics & dynamical astronomy

ISSN: 0923-2958

Año de publicación: 2007

Volumen: 99

Número: 1

Páginas: 69-83

Tipo: Artículo

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DOI: 10.1007/S10569-007-9091-8 SCOPUS: 2-s2.0-34548259942 WoS: WOS:000248911000007 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Celestial mechanics & dynamical astronomy

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

In the analytical approach to the main problem in satellite theory, the consideration of the physical parameters imposes a lower bound for normalized Hamiltonian. We show that there is no elliptic frozen orbits, at critical inclination, when we consider small values of H, the third component of the angular momentum. The argument used suggests that it might be applied also to more realistic zonal and tesseral models. Moreover, for almost polar orbits, when H may be taken as another small parameter, a different approach that will simplify the ephemerides generators is proposed. © 2007 Springer Science+Business Media B.V.