Approximate Kepler’s Elliptic Orbits with the Relativistic Effects

• 作者: Leilei Jia
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: Kepler’s ELLIPTIC ORBITS The RELATIVISTIC KEPLER Problem Unboundedness AVERAGING
• 年，卷（期）: 2013,（1）
• 页码范围: 29-33
• 页数: 5页
• 分类号: O1

摘要

Beginning with a Lagrangian, we derived an approximate relativistic orbit equation which describes relativistic corrections to Keplerian orbits. The critical angular moment to guarantee the existence of periodic orbits is determined. An approximate relativistic Kepler’s elliptic orbit is illustrated by numerical simulation via a second-order perturbation method of averaging.