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首页> 外文期刊>International journal of aerospace engineering >Numerical Approach for the Computation of Preliminary Post-Newtonian Corrections for Laser Links in Space
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Numerical Approach for the Computation of Preliminary Post-Newtonian Corrections for Laser Links in Space

机译：空间激光链路的初步牛顿后修正计算的数值方法

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摘要

Two systems of Earth-centered inertial Newtonian orbital equations for a spherical Earth and three systems of post-Newtonian nonlinear equations, derived from the second post-Newtonian approximation to the Earth Schwarzschild field, are used to carry out a performance analysis of a numerical procedure based on the Dormand-Prince method for initial value problems in ordinary differential equations. This procedure provides preliminary post-Newtonian corrections to the Newtonian trajectories of middle-size space objects with respect to space-based acquisition, pointing, and tracking laser systems, and it turns out to be highly efficient. In fact, we can show that running the standard adaptive ode45 MATLAB routine with the absolute and relative tolerance, TOLa=10(-16) and TOLr=10(-13), respectively, provides corrections that are final within the eclipses caused by the Earth and close to final during the noneclipse phases. These corrections should be taken into account to increase the pointing accuracy in implementing the space-to-space laser links required for ablation of designated objects or communications between space terminals.
机译：球形地球的两个以地球为中心的惯性牛顿轨道方程组和三个后牛顿非线性方程组（从第二次牛顿后近似到地球施瓦茨菲尔德场）用于对数值程序进行性能分析。基于Dormand-Prince方法的常微分方程初值问题。该程序相对于基于空间的获取，指向和跟踪激光系统，对中型空间物体的牛顿轨迹提供了初步的牛顿后校正，结果证明它是高效的。实际上，我们可以证明以绝对公差和相对公差分别运行TOLa = 10（-16）和TOLr = 10（-13）的标准自适应ode45 MATLAB例程可以提供最终的修正，这些修正是由在非蚀相阶段接地并接近最终。在实施消融指定物体或空间终端之间的通信所需的空对空激光链路时，应考虑这些校正，以提高指向精度。

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