Scholarlink

The aim of the present work is to work out the analytic expression of the gravitational potential for a cylindrical mass distribution where the origin is arbitrarily situated outside the distributed mass. The analytic findings are supported with some graphical plots obtained numerically. The line of interest in this direction of research lies on problems of Newtonian gravity, which is highly relevant to modern engineering where massive objects are involved. Especially the above work is relevant to technologies of satellite motions and general theory of relativity. Relevance of the work: In general the Gravitational Potential (GP) has implications in General Theory of Relativity (Ellis et al. in General Relativity and Gravitation 32:127–144, 2000). As the galaxies have different shapes like elliptical, disc, spiral, the calculation of GP due to masses of such shapes are important in Astrophysics. Knowledge of the GP due to such bodies will help to understand the dynamics of cluster of galaxies and gravitational bending of light due to galaxies of various shapes.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Modeling Gravitational Potential of a Uniform Solid Cylinder at any Point Outside the Mass

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • R Chakravarty,
  • T Som

摘要

The aim of the present work is to work out the analytic expression of the gravitational potential for a cylindrical mass distribution where the origin is arbitrarily situated outside the distributed mass. The analytic findings are supported with some graphical plots obtained numerically. The line of interest in this direction of research lies on problems of Newtonian gravity, which is highly relevant to modern engineering where massive objects are involved. Especially the above work is relevant to technologies of satellite motions and general theory of relativity. Relevance of the work: In general the Gravitational Potential (GP) has implications in General Theory of Relativity (Ellis et al. in General Relativity and Gravitation 32:127–144, 2000). As the galaxies have different shapes like elliptical, disc, spiral, the calculation of GP due to masses of such shapes are important in Astrophysics. Knowledge of the GP due to such bodies will help to understand the dynamics of cluster of galaxies and gravitational bending of light due to galaxies of various shapes.