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

本课题旨在研究下一代全球卫星重力模型的前沿数学问题。我们成功地开发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，具有前所未有的高精度和连续性，并且易于修改以满足未来的数据要求。[2]我们开发了一种新的理论，用于结合不同类型的数据进行卫星反重力制图；[3]我们已经建立并深化了用于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.