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Local multi-polar expansions in potential field modeling

机译：势场建模中的局部多极扩展

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The satellite era brings new challenges in the development and the implementation of potential field models. Major aspects are, therefore, the exploitation of existing space- and ground-based gravity and magnetic data for the long-term. Moreover, a continuous and near real-time global monitoring of the Earth system, allows for a consistent integration and assimilation of these data into complex models of the Earth's gravity and magnetic fields, which have to consider the constantly increasing amount of available data. In this paper we propose how to speed up the computation of the normal equation in potential filed modeling by using local multi-polar approximations of the modeling functions. The basic idea is to take advantage of the rather smooth behavior of the internal fields at the satellite altitude and to replace the full available gravity or magnetic data by a collection of local moments. We also investigate what are the optimal values for the free parameters of our method. Results from numerical experiments with spherical harmonic models based on both scalar gravity potential and magnetic vector data are presented and discussed. The new developed method clearly shows that very large datasets can be used in potential field modeling in a fast and more economic manner.
机译：卫星时代为潜在场模型的开发和实施带来了新的挑战。因此，主要方面是长期利用现有的基于空间和地面的重力和磁数据。此外，对地球系统的连续且近乎实时的全球监视允许将这些数据一致地集成和吸收到地球重力和磁场的复杂模型中，而这些模型必须考虑不断增加的可用数据量。在本文中，我们提出了如何通过使用建模函数的局部多极近似来加快势场建模中正态方程的计算。基本思想是利用内部场在卫星高度上相当平稳的行为，并通过收集局部力矩来代替全部可用的重力或磁数据。我们还研究了我们方法的自由参数的最佳值是多少。提出并讨论了基于标量重力势和磁矢量数据的球谐模型数值实验的结果。新开发的方法清楚地表明，可以以更快，更经济的方式将非常大的数据集用于潜在领域建模。

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