Long-Term Third-Body Effects via Double Averaging
Long-Term Third-Body Effects via Double Averaging
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DOI：
10.2514/2.5041
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发表时间：
2003
影响因子：
2.6
通讯作者：
R. Broucke
中科院分区：
文献类型：
--
作者：
R. Broucke
我们研究第三体对质量可忽略不计的卫星的长期影响。我们想要研究地球卫星上的日月效应，但可以想象许多其他应用。我们从勒让德多项式的无限级数中的干扰函数的表示开始，但我们将其截断为二次项。我们的方法包括双重分析平均：卫星的周期和第三天体的周期。我们专注于使用两个重要的积分（能量和角动量）来讨论卫星扰动轨道的属性并对其进行分类。对于低于 39 度的倾角，轨道的近地点总是循环的。轨道有圆形和椭圆形，但偏心率差别不大。对于超过 39 度的倾角，圆形轨道不稳定，偏心率会迅速增加，但我们出现了新的稳定轨道：两个具有恒定偏心率和固定近地点位置的椭圆冻结轨道，在 90 度或 270 度处。
Westudy thelong-term effects of a third body on a satelliteof negligiblemass. Wehavein mind to study thelunisolar effects on an Earth satellite but many other applications can be imagined. We begin with the representation of the disturbing function in an ine nite series in Legendre polynomials but we truncate it at the second-degree terms. Our approach consists of a double analytic averaging: with the period of the satellite and with the period of the third body. We concentrate on using the two important integrals (energy and angular momentum ) to discuss and classify properties of the perturbed orbits of the satellite. For inclinations below 39 deg, the perigee of the orbits always circulates. There are circular and elliptic orbits but the eccentricity does not vary much. For the inclinations above 39 deg, the circular orbits are unstable and the eccentricities can increase rapidly but we have the appearance of new stableorbits: two ellipticfrozen orbits with constant eccentricity and e xed perigee location, at either 90 or 270 deg.