Hybrid methods around the critical inclination

  1. San-Martín, M. 1
  2. Pérez, I. 1
  3. San-Juan, J.F. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Advances in the Astronautical Sciences

ISSN: 0065-3438

Año de publicación: 2016

Volumen: 156

Páginas: 679-693

Tipo: Artículo

SCOPUS: 2-s2.0-85007286129 WoS: WOS:000387517700040 GOOGLE SCHOLAR

Otras publicaciones en: Advances in the Astronautical Sciences

Resumen

In this work we apply a new approach, hybrid perturbation theory, to the problem of orbit propagation near the critical inclination. The critical inclination is a singular value which appears in both the direct and inverse transformation of the elimination of the perigee when the zonal harmonic J2 of the geopotential is considered, thus preventing its application. We consider four different hybrid orbit propagators based on a closed-form second-order Brouwer-like analytical theory of the main problem, with different orders of approximation in J2, complemented with an additive Holt-Winters method, and analyze their behavior near the critical inclination.