Revision of the lie-deprit method in general perturbations theories of astrodynamics problems

  1. San-Juan, J.F. 3
  2. Pérez, I. 3
  3. San-Martín, M. 2
  4. López, R. 1
  1. 1 Centro de Investigación Biomédica de La Rioja
    info

    Centro de Investigación Biomédica de La Rioja

    Logroño, España

    ROR https://ror.org/03vfjzd38

  2. 2 Universidad de Granada
    info

    Universidad de Granada

    Granada, España

    ROR https://ror.org/04njjy449

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

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Revista:
Advances in the Astronautical Sciences

ISSN: 0065-3438

Ano de publicación: 2017

Volume: 160

Páxinas: 2315-2329

Tipo: Artigo

SCOPUS: 2-s2.0-85031020569 WoS: WOS:000433401100137 GOOGLE SCHOLAR

Outras publicacións en: Advances in the Astronautical Sciences

Resumo

An extension of the classical Delaunay normalization is analyzed. It takes advantage of the intrinsic arbitrariness of the Lie-Deprit method in the process of calculating its generating function. We have found that, under certain conditions, a function belonging to the null space of the Lie operator associated to the unperturbed part of the initial Hamiltonian can be added to the generating function at each order, so that the long-period terms can be removed from the transformation equations, or several angles can be eliminated simultaneously in the cases of the artificial satellite problem, Lunar theory and Planetary satellite orbiters.

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Información de financiamento

This work has been funded by the Spanish State Research Agency and the European Regional Development Fund under Projects ESP2014-57071-R and ESP2016-76585-R (AEI/ERDF, EU).

Financiadores

  • Spanish State Research Agency
  • European Regional Development Fund
    • ESP2014-57071-R
    • ESP2016-76585-R