Mean Solar Gravitational Field Stress on the Earth's Crust
地壳上的平均太阳引力场应力

摘要

这里分析作用在地壳内表面上的一个力，叫做平均太阳引力场应力，由太阳引力场四维能量动量张量关于两个单位坐标矢量缩并，给出太阳引力场应力，再关于时间求平均后得到。平均太阳引力场应力与它的一阶导数，二者依次在纬度0°与±30°存在极大值，二者在纬度±90°均存在极小值。在北半球每一个间隔纬度5°的统计单元内，统计海拔200m以上陆地面积（或者海拔1000m以上陆地面积，不含冰雪陆地）与该单元陆地总面积的比值，海拔200m以上陆地相对面积在-5°至5°区间、25°至30°区间均有极小值，海拔1000以上陆地相对面积在纬度-5°至5°区间、35°至40°区间均存在极大值，在纬度90°附近无法做统计（在世界地形图上可以直观地观察到上述统计结果）。把北半球的上述两组极值做比较。两个极大值（0°，30°）与海拔1000m以上陆地相对面积的两个统计极大值区间基本一致，30°点上有偏差，极小值90°点上无法比较。南半球的对比结果相同。物理解释为地壳的塑性形变，并给出了一个间接解释。

Abstract

A force acting on the inner surface of the earth's crust is analyzed here, which is called the ave- rage solar gravitational field stress. The four-dimensional energy momentum tensor of the solar gravitational field is contracted about two unit coordinate vectors[1] to give the solar gravitational field stress, and then obtained by averaging over time. The mean solar gravitational field stress and its first derivative have maximum values at 0° and ±30° latitude in turn, and both have minimum values at ±90° latitude. In each statistical unit with a latitude of 5° in the northern hemisphere, the ratio of the land area above 200m above sea level (or land area above 1000m above sea level, excluding ice and snow land) to the total land area of the unit is calculated. The relative area of land above 200m above sea level is -5. There are minimum values in the range from 0° to 5° and from 25° to 30°. The relative area of land above 1000 altitude has a maximum value in the range of latitude -5° to 5° and 35° to 40°. At latitude 90° Statistics cannot be done nearby (the above statistical results can be visually observed on the world topographic map). Compare the above two sets of extreme values in the northern hemisphere. The two maxima (0°, 30°) are basically consistent with the two statistical maxima of the relative land area above 1000m above sea level, there is a deviation at the 30° point, and the minimum value at the 90° point cannot be compared. The comparison in the southern hemisphere was the same. The physical explanation is plastic deformation of the crust, and an in- direct explanation is given.