Approximate analytic method for high-apogee twelve-hour orbits of artificial Earth’s satellites

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• 作者：M. A. Vashkovyaka ; G. S. Zaslavskii
• 关键词：orbit evolution ; twelve ; hour artificial Earth’s satellites
• 刊名：Solar System Research
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：50
• 期：5
• 页码：368-377
• 全文大小：715 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy, Astrophysics and Cosmology
  Planetology
  Astronomy
  Astrophysics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1608-3423
• 卷排序：50

文摘

We propose an approach to the study of the evolution of high-apogee twelve-hour orbits of artificial Earth’s satellites. We describe parameters of the motion model used for the artificial Earth’s satellite such that the principal gravitational perturbations of the Moon and Sun, nonsphericity of the Earth, and perturbations from the light pressure force are approximately taken into account. To solve the system of averaged equations describing the evolution of the orbit parameters of an artificial satellite, we use both numeric and analytic methods. To select initial parameters of the twelve-hour orbit, we assume that the path of the satellite along the surface of the Earth is stable. Results obtained by the analytic method and by the numerical integration of the evolving system are compared. For intervals of several years, we obtain estimates of oscillation periods and amplitudes for orbital elements. To verify the results and estimate the precision of the method, we use the numerical integration of rigorous (not averaged) equations of motion of the artificial satellite: they take into account forces acting on the satellite substantially more completely and precisely. The described method can be applied not only to the investigation of orbit evolutions of artificial satellites of the Earth; it can be applied to the investigation of the orbit evolution for other planets of the Solar system provided that the corresponding research problem will arise in the future and the considered special class of resonance orbits of satellites will be used for that purpose.