Scholarlink

<p>The influence of the angular momentum on the stabilization of motion in the three-body problem is considered. Sufficient conditions for the boundedness of motion are obtained both in the restricted three-body problem and in its general case. The angular momentum plays the key role under these conditions. Although, in the restricted space circular three-body problem, the angular momentum is nothing but a linear component of the Jacobi integral rather than an integral of motion, it guarantees the validity of the property of boundedness of motions of an infinitely small particle under certain additional conditions. The comparative analysis of the general and restricted three-body problems is carried out.</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

Angular Momentum and Boundedness of Motion in the Three-Body Problem

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • Stepan Sosnyts’kyi

摘要

The influence of the angular momentum on the stabilization of motion in the three-body problem is considered. Sufficient conditions for the boundedness of motion are obtained both in the restricted three-body problem and in its general case. The angular momentum plays the key role under these conditions. Although, in the restricted space circular three-body problem, the angular momentum is nothing but a linear component of the Jacobi integral rather than an integral of motion, it guarantees the validity of the property of boundedness of motions of an infinitely small particle under certain additional conditions. The comparative analysis of the general and restricted three-body problems is carried out.