Mathematical and numerical methods in celestial mechanics

天体力学中的数学和数值方法

• 批准号: 341836-2007
• 负责人: Santoprete, Manuele
• 金额: $ 1.24万
• 依托单位: Wilfrid Laurier University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=429886
• 关键词: Mathematical; numerical; methods; celestial; mechanics

Celestial mechanics has historically served as a source of mathematical discovery and new problems. This is still true today where the contemporary needs of space science bring a new wave of interest in the theoretical and practical aspects of celestial mechanics making its connections with mathematics and applications stronger than ever before. One of the main aspects of celestial mechanics is the study of the Newtonian N-body problem, namely the analysis of the motion of N point particles in a setting where the dynamics are dictated by Newton's law of motion. The study of the N-body problem now includes just about any dynamical system that remotely resembles the Newtonian N-body problem, and beyond the insight it provides in astronomy and space science it has many applications in science and engineering.

天体力学在历史上一直是数学发现和新问题的来源。 这仍然是真实的今天，当代空间科学的需求带来了新的兴趣波的理论和实践方面的天体力学，使其与数学和应用的联系比以往任何时候都更强。天体力学的一个主要方面是研究牛顿的N体问题，即分析N个点粒子在牛顿运动定律支配下的运动。现在，对N体问题的研究几乎包括了任何与牛顿N体问题有一点相似的动力学系统，而且除了在天文学和空间科学中提供的洞察力之外，它在科学和工程中也有许多应用。