Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem

• 作者: Fawzy A. Abd El-Salam Sobhy Abd El-Bar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: POST NEWTONIAN APPROXIMATION GEODESIC Equation RESTRICTED Three Body Problem
• 年，卷（期）: 2011,（2）
• 页码范围: 155-164
• 页数: 10页
• 分类号: O1

摘要

In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.