High-order averaging of eccentric artificial satellites perturbed by the Earth'potential and air-drag terms

Author:

Barrio Roberto1,Palacián Jesús2

Affiliation:

1. Grupo de Mecánica Espacial, Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain

2. Departamento de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference33 articles.

1. Abramowitz M. & Stegun I. A. 1965 Handbook of mathematical functions. New York: Dover.

2. Arnold V. I. Kozlov V. V. & Neishtadt A. I. 1988 Mathematical aspects of classical and celestial mechanics (dynamical systems III encyclopaedia of mathematical science) (ed. V. I. Arnold) vol. 3. Springer.

3. Barrio R. 1993 Lie transforms for the noncanonical case: application to an arti-cial satellite subject to air drag and Earth potential. Toulouse: Centre National d' Etudes Spatiales. (CT/TI/MS/MN/93{154.)

4. Barrio R. & Palaci¶an J. 1997a Semianalytical methods for high-eccentric orbits: zonal harmonics and air-drag terms. Adv. Astronaut. Sci. 95 331{339.

5. LIE TRANSFORMS FOR ORDINARY DIFFERENTIAL EQUATIONS: TAKING ADVANTAGE OF THE HAMILTONIAN FORM OF TERMS OF THE PERTURBATION

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