二维几何的引力场及若干形式相似性问题  

Gravitational field of 2D geometry and some formal similarities

作　　者：卢德馨[1] 

机构地区：[1]南京大学,南京210093

出　　处：《物理与工程》2010年第5期2-5,12,共5页Physics and Engineering

摘　　要：对于球对称的质量分布,牛顿证明了球壳定理.对二维几何的分布质量则不存在对应的规律.对圆环、圆盘的情形作了简练的解析计算,并精细作图将圆盘的径向场与圆球作比较.讨论了二维几何下引力场、静电场和磁场的形式相似性以及它们的物理或数学相似来源.For spherically symmetric mass distribution,Newton proved the shell theorem.For mass distribution of 2Dgeometry there does not exist such counterpart.We have offered compact analytical calculation for circular loop and disc,and plotting to compare radical gravitational field of a disc with a sphere.The formal similarities between gravitational field, electrostatic field and magnetic field of 2Dgeometry are discussed.They are based on physics or mathematics similarity.

关 键 词：引力场 2D几何 解析计算 相似性 

分 类 号：O314[理学—一般力学与力学基础]