Revision of the lie-deprit method in general perturbations theories of astrodynamics problems
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1
Centro de Investigación Biomédica de La Rioja
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2
Universidad de Granada
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3
Universidad de La Rioja
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ISSN: 0065-3438
Año de publicación: 2017
Volumen: 160
Páginas: 2315-2329
Tipo: Artículo
beta Ver similares en nube de resultadosOtras publicaciones en: Advances in the Astronautical Sciences
Resumen
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.
Información de financiación
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
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European Regional Development Fund
- ESP2014-57071-R
- ESP2016-76585-R