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

Труды ИПА РАН, вып. 8, 5–6 (2002)

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

Аннотация

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 // Труды ИПА РАН. — 2002. — Вып. 8. — С. 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 = {Труды ИПА РАН}, 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/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 - Труды ИПА РАН 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/library/paper/300/ ER -