地磁的数学理论和计算公式

Mathematical theory and computational formula of geomagnetism

为揭开自然界久远的地磁场奥秘 ,给出两个定理 :第一个是关于在球坐标系统中的广义波松方程 [1] ;第二个定理定义了“等效磁荷”与‘电流密度矩’.由此二个定理得出了三个推论 ,计算了因地球旋转导致地壳和地幔所产生的地磁场 ,并得出计算公式 ,从理论上定量地证明了美国国家航空和宇宙航行局 (NASA)在星际探测飞行中观测到的、众所周知的物理现象 :即行星磁场与该星体转动角速度成比例的现象 ,公式也指出大气与太阳喷发都将对地磁强度产生影响 .对地心因高热产生的磁场和地球的磁极漂移以及地磁轴极性的反转也得到了数学规律结论 .

In order to uncover the mystery of geomagnetism, two theorems have been given in this paper. The first is about the creation of the Generalized Poisson Equation in spherical co ordinate system. This equation is distinct from the classical Poisson Equation created by Simeon Denis Poisson at 1812. It has been shown that the classical Poisson Equation is the special case of the Generalized Poisson Equation when the vorticity of the field is zero. The second theorem defines the Equivalent Magnetic Charge and the Moment of Current Density. Three corollaries have been given following these two theorems. Using these two theorems, the geomagnetism generated from the crust and the mantle due to the Earth's rotation is computed and a formula indicating that the geomagnetism is proportional to the angle speed of the Earth's rotation has been developed. The physical phenomenon that the planet magnetism is proportional to the rotational speed of that planet has been confirmed with the measurement of the NASA's interplanetary probe. According to the mathematical formula of geomagnetism generated from the crust and mantle of the Earth, it has been shown that both the atmosphere and the solar eruption affect the geomagnetism.using the generalized poisson equation, a curl partial differential equation has been bormed, then we get useful conclusions to uncover the mystery of geomagnetic poles wandeving and the geomagnetic axis reversals.