Scholarlink

<p>The Kepler problem is named after Johannes Kepler, who proposed Kepler’s laws of planetary motion. Kepler problem is a special case of the two-body problem in classical mechanics. The two bodies interact by a central force <i>F</i> that varies in strength as the inverse square of the distance <i>r</i> between them. Here, we are looking for the equation of motion using the Lagrangian formulation and its solution using a numerical approach. Though the general theory of relativity provides more accurate solutions to the two-body problem, especially in strong gravitational fields, here we are exploring numerical methods followed by correction term in potential energy, inversely proportional to the cube of the radius for perihelion motion.</p>

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

Exploring Kepler Problem Using Maple

  • 期刊论文

  • 发表日期：

    2025年2月1日

查看全文
  • S. W. Anwane,
  • R. S. Anwane

摘要

The Kepler problem is named after Johannes Kepler, who proposed Kepler’s laws of planetary motion. Kepler problem is a special case of the two-body problem in classical mechanics. The two bodies interact by a central force F that varies in strength as the inverse square of the distance r between them. Here, we are looking for the equation of motion using the Lagrangian formulation and its solution using a numerical approach. Though the general theory of relativity provides more accurate solutions to the two-body problem, especially in strong gravitational fields, here we are exploring numerical methods followed by correction term in potential energy, inversely proportional to the cube of the radius for perihelion motion.