On the third-body perturbations of high-altitude orbits

  1. Lara, M. 1
  2. San-Juan, J.F. 2
  3. López, L.M. 2
  4. Cefola, P.J. 3
  1. 1 Columnas de Hercules 1, 11100 San Fernando, Spain
  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 University at Buffalo, State University of New York
    info

    University at Buffalo, State University of New York

    Búfalo, Estados Unidos

    ROR https://ror.org/01y64my43

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Journal:
Celestial mechanics & dynamical astronomy

ISSN: 0923-2958

Year of publication: 2012

Volume: 113

Issue: 4

Pages: 435-452

Type: Article

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DOI: 10.1007/S10569-012-9433-Z SCOPUS: 2-s2.0-84865813150 WoS: WOS:000308245700005 GOOGLE SCHOLAR

More publications in: Celestial mechanics & dynamical astronomy

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Abstract

The long-term effects of a distant third-body on a massless satellite that is orbiting an oblate body are studied for a high order expansion of the third-body disturbing function. This high order may be required, for instance, for Earth artificial satellites in the so-called MEO region. After filtering analytically the short-period angles via averaging, the evolution of the orbital elements is efficiently integrated numerically with very long step-sizes. The necessity of retaining higher orders in the expansion of the third-body disturbing function becomes apparent when recovering the short-periodic effects required in the computation of reliable osculating elements. © 2012 Springer Science+Business Media B.V.