High order transfer maps for perturbed Keplerian motion

  1. Wittig, A. 2
  2. Armellin, R. 1
  1. 1 University of Southampton
    info

    University of Southampton

    Southampton, Reino Unido

    ROR https://ror.org/01ryk1543

  2. 2 Polytechnic University of Milan
    info

    Polytechnic University of Milan

    Milán, Italia

    ROR https://ror.org/01nffqt88

Revista:
Celestial mechanics and dynamical astronomy

ISSN: 0923-2958

Año de publicación: 2015

Volumen: 122

Número: 4

Páginas: 333-358

Tipo: Artículo

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DOI: 10.1007/S10569-015-9621-8 SCOPUS: 2-s2.0-84937522977 GOOGLE SCHOLAR

Otras publicaciones en: Celestial mechanics and dynamical astronomy

Repositorio institucional: lockAcceso abierto Editor

Resumen

The paper presents a new semi-analytical technique for the propagation of near-Earth satellite motion. The approach uses differential algebra techniques to compute the high order expansion of the solution of the system’s ordinary differential equation for one orbital revolution, referred to as the transfer map. Once computed, a single high order transfer map (HOTM) can be reused to map an initial condition, or a set of initial conditions, forward in time for many revolutions. The only limiting factor is that the mapped objects must stay close to the reference orbit such that they remain within the region of validity of the HOTM. The performance of the method is assessed through a set of test cases in which both autonomous and non-autonomous perturbations are considered, including the case of continuously propelled trajectories. © 2015 Springer Science+Business Media Dordrecht