桑德曼定理重温

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-09-21 DOI:10.1016/j.physd.2024.134385
Andrei D. Werkhausen, Heyder Hey
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引用次数: 0

摘要

在本文中,我们重温了关于三体问题的桑德曼定理。我们提供了一个简单的例子,证明对于一组特定的初始条件,可以放宽对总角动量 L 的要求(远离零的边界),允许双冲击。我们通过类似桑德曼的形式正则化,提出了精确三体碰撞情形的明确解法。
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Sundman theorem revisited
In this paper, we revisit Sundman’s Theorem on the three-body problem. We provide a simple example demonstrating that the requirement on the total angular momentum L (bounded away from zero) can be relaxed for a particular set of initial conditions, allowing double shocks. We present an explicit solution for the exact triple-collision scenario through a Sundman-like formal regularization.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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