Frontier mathematical models for the next generation of global satellite gravity fields

这项研究项目是为下一代全球卫星重力模型研究前沿数学问题。我们获得的最重要的结果概括如下：[1]我们成功地发展了一种新的位置和速度摄动理论，它可以自动合并任何类型的数据，并且具有前所未有的高精度和连续性，并且很容易修改，以满足未来的数据要求。[2]我们发展了一种不同类型数据组合的新理论，用于卫星重力反制图；[3]我们建立并深化了用于GPS的混合整数线性模型的研究。

This research project is to investigate frontier mathematical problems for the next generation of global satellite gravity models. The most important results we obtained are summarized as follows : [1] We have successfully developed a new perturbation theory for positions and velocities, which can automatically incorporate data of any type and at unprecedented high accuracy and continuity and easily modified to meet data requirement in the future. [2] We have developed a new theory for combining different types of data for inverse satellite gravity mapping ; [3] We have built and deepened our research on mixed integer linear models for use in GPS.