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Dynamics of artificial satellite orbits with the effects of luni-solar perturbations

Transactions of IAA RAS, issue 8, 5–6 (2002)

Keywords: Very Long Baseline Interferometry (VLBI), celestial mechanics, artificial satellite orbits, luni-solar perturbations

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Abstract

In this paper we propose an analytical solution of some problems of Earth's artificial satellite moving on high orbits (at altitude above 20 000 km). Perturbations due to geopotential (zonal and tesseral harmonics) and luni-solar attractions are considered up to the second order. The solution will avoid the singularities from small eccentricities and small inclinations. We derive the theory of perturbation using the Hori-Lie algorithm and the Hamiltonian canonical transformation. We discuss different classes of orbits, in particular geostationary, close to geostationary and geosynchronous as well as 1:1 and 1:2 resonance cases. We present also comparison of our analytical solution with numerical integration of motion for chosen artificial satellites.

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Y. A. Abdel-Aziz, E. Wnuk. Dynamics of artificial satellite orbits with the effects of luni-solar perturbations // Transactions of IAA RAS. — 2002. — Issue 8. — P. 5–6.

@article{abdel-aziz2002,
  abstract = {In this paper we propose an analytical solution of some problems of Earth's artificial satellite moving on high orbits (at altitude above 20 000 km). Perturbations due to geopotential (zonal and tesseral harmonics) and luni-solar attractions are considered up to the second order. The solution will avoid the singularities from small eccentricities and small inclinations. We derive the theory of perturbation using the Hori-Lie algorithm and the Hamiltonian canonical transformation.
We discuss different classes of orbits, in particular geostationary, close to geostationary and geosynchronous as well as 1:1 and 1:2 resonance cases. We present also comparison of our analytical solution with numerical integration of motion for chosen artificial satellites.},
  author = {Y.~A. Abdel-Aziz and E. Wnuk},
  issue = {8},
  journal = {Transactions of IAA RAS},
  keyword = {Very Long Baseline Interferometry (VLBI), celestial mechanics, artificial satellite orbits, luni-solar perturbations},
  pages = {5--6},
  title = {Dynamics of artificial satellite orbits with the effects of luni-solar perturbations},
  url = {http://iaaras.ru/en/library/paper/300/},
  year = {2002}
}

TY  - JOUR
TI  - Dynamics of artificial satellite orbits with the effects of luni-solar perturbations
AU  - Abdel-Aziz, Y. A.
AU  - Wnuk, E.
PY  - 2002
T2  - Transactions of IAA RAS
IS  - 8
SP  - 5
AB  - In this paper we propose an analytical solution of some problems of
Earth's artificial satellite moving on high orbits (at altitude above
20 000 km). Perturbations due to geopotential (zonal and tesseral
harmonics) and luni-solar attractions are considered up to the second
order. The solution will avoid the singularities from small
eccentricities and small inclinations. We derive the theory of
perturbation using the Hori-Lie algorithm and the Hamiltonian
canonical transformation.  We discuss different classes of orbits, in
particular geostationary, close to geostationary and geosynchronous
as well as 1:1 and 1:2 resonance cases. We present also comparison of
our analytical solution with numerical integration of motion for
chosen artificial satellites.
UR  - http://iaaras.ru/en/library/paper/300/
ER  -