基于连续介质力学的形变地球重力场描述

地球重力场的时空结构与分布特性无论在基础理论研究还是在地理空间信息建设中都具有重要意义.地球表面上的观测仪器检测到的只是某一个质点的重力变化,但是理论研究却是基于引力和引力位场方程进行的.基于连续介质力学的基本理论,给出了地球密度变化、引力和引力位变化的Lagrange和Euler描述,明确了重力场变化的若干概念,它对于高精度地球重力场时空变化的理论研究具有参考价值.

The describing gravitational force field of deformable earth based on continuum mechanics

The space-time constitution and distributing characteristic of gravitational field have important meanings,whether in basic theoretical research or building space geographical informations.An observer who is commoving with those points on the surface of deformable Earth which undergo a deformation will experience the material(Lagrangean) variation of Newtonian gravitational force field.In contrast,an analyst who aims at a computation of the Newtonian gravitational force field will base calculation on the spatial(Eulerian) variations.This paper based on basic theory of continuum mechanics,presented the change of mass density,gravitational force and potential of deformable earth,both in the Eulerian and the Lagrangean portrait,and made some concepts on gravitational variation to clearer.The works of this paper may offer references for space time variations of high precision gravitational force field researches.