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Analytical Solution for the Combined Solar Radiation Pressure andLuni- Solar Effects on the Orbits of High Altitude Satellites

机译:高空卫星轨道太阳辐射压力与太阳辐射联合作用的解析解

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A new analytical solution is obtained for the motion of high-altitude earth satellites. The basic idea is to studythe joint effects of direct solar radiation pressure and the gravitation of the Earth, Moon and the Sun on the orbits of thesatellites. The mathematical model includes the zonal harmonics of the geopotential effects up to 4J . The order of magnitudeof each perturbing term is assessed. The formulae for the all perturbations forces are obtained up to the fourth order(where the mean motion of the moon (~ 10-2) is considered a small quantity of first order). The short, intermediate andlong-period terms are eliminated from the Hamiltonian using a perturbation technique based on the Lie-Deprit-Kameltransform through three canonical transformations. The solution is intended to be used for ephemeris predictions for orbiterswhose orbital semimajor axes are in the range of 15000 to 70000 kms.
机译:获得了一种针对高空地球卫星运动的新的解析解。基本思想是研究太阳直接辐射压力与地球,月球和太阳的引力对卫星轨道的联合影响。该数学模型包括高达4J的地势效应的区域谐波。评估每个扰动项的量级。可以得到所有扰动力的公式,直到四阶为止(其中,月球的平均运动(〜10-2)被认为是一阶的少量)。使用基于Lie-Deprit-Kamel变换的扰动技术,通过三个规范变换,从哈密顿量中消除了短,中和长周期项。该解决方案旨在用于其轨道半长轴在15000至70000 kms范围内的卫星的星历表预测。

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