均匀球壳对壳内物体引力问题初探

Preliminary Exploration of the Gravity Problem of Uniform Spherical Shell on Objects Inside the Shell

万有引力公式只适用于质点之间或均匀球体之间的引力计算。而实际物体大多不能被视为质点或均匀球体,如何求解实际物体之间的万有引力,是物理学中的难题。文章利用微元法初等证明“均匀球壳对壳内质点的万有引力为零”,并利用该规律求解一些典型问题,以此为相关研究提供借鉴。

The universal gravitation formula only applies to the calculation of gravitational forces between particles or uniform spheres.However,most actual objects cannot be regarded as particles or uniform spheres.How to solve the universal gravitation between actual objects is a difficult problem in physics.The article uses the elementary method of infinitesimal elements to prove that"the universal gravitational force of a uniform spherical shell on the interior points of the shell is zero",and uses this law to solve some typical problems,providing reference for related research.