论文标题
古典和相对论的n体问题：从李维维塔到最先进的星际任务
Classical and relativistic n-body problem: from Levi-Civita to the most advanced interplanetary missions
论文作者
论文摘要
N体问题是天体力学中最重要的问题之一。本文旨在追溯导致帕多安数学家Tullio Levi-Civita的历史和科学事件，以首先从经典，然后是相对论的观点处理问题。我们描述了利维维塔（Levi-Civita）对相对论的贡献，重点是他与爱因斯坦（Einstein）的书信交流，关于世俗加速的问题以及布里鲁因取消原则的证明。我们还指出，Levi-Civita处理的主题非常局部。具体而言，我们分析了当今如何在李维维塔的文本中找到数学形式主义，并在过去的几年中发展到纽约后纽顿后近似（PPN）的当前参数化版本的发展，这些版本以高精度使用，例如高精度的范围，例如为普通相对性和估计估算的范围均准确地测试了POP的重要性。
The n-body problem is one of the most important issue in Celestial Mechanics. This article aims to retrace the historical and scientific events that led the Paduan mathematician, Tullio Levi-Civita, to deal with the problem first from a classic and then a relativistic point of view. We describe Levi-Civita's contributions to the theory of relativity focusing on his epistolary exchanges with Einstein, on the problem of secular acceleration and on the proof of Brillouin's cancellation principle. We also point out that the themes treated by Levi-Civita are very topical. Specifically, we analyse how the mathematical formalism used nowadays to test General Relativity can be found in Levi-Civita's texts and evolves over the years up to the current Parametrized version of the Post-Newtonian approximation (PPN) which is used in high precision contexts such as important space missions designed also to test General Relativity and which aim to estimate with very high accuracy the PPN parameters.
