论文标题
地球卫星动力学通过PICARD迭代
Earth satellite dynamics by Picard iterations
论文作者
论文摘要
地球填充性对人造卫星运动的主要影响通常来自填充性扰动功能平均表示的参数方程的变化。相反，我们根据Picard迭代方法的严格数学假设来解决他们的解决方案。我们的方法恢复了上升节点的右升升的已知线性趋势和围角的论点，但在平均运动值中与公认的解决方案有所不同。这种修订的速率从根本上改善了典型轨道传播的轨道误差。另外，我们对PICARD迭代的截断解决方案对其世俗项还包括必须应用于平均动力学的正确传播中示波初始条件的校正。
The main effects of the Earth's oblateness on the motion of artificial satellites are usually derived from the variation of parameters equations of an average representation of the oblateness disturbing function. Rather, we approach their solution under the strict mathematical assumptions of Picard's iterative method. Our approach recovers the known linear trends of the right ascension of the ascending node and the argument of the perigee, but differs from the accepted solution in the value of the mean motion. This amended rate radically improves the in-track errors of typical orbit propagations. In addition, our truncation of the Picard iterations solution to its secular terms includes the corrections that must be applied to the osculating initial conditions in the right propagation of the mean dynamics.
