模拟水星近日点的基本方法

IF 0.6 4区教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES

European Journal of Physics Pub Date : 2023-10-27 DOI:10.1088/1361-6404/ad0188

Hollis Williams

{"title":"模拟水星近日点的基本方法","authors":"Hollis Williams","doi":"10.1088/1361-6404/ad0188","DOIUrl":null,"url":null,"abstract":"Abstract The relativistic correction to the precession of the perihelion of Mercury provided key evidence for the accuracy of general relativity as a theory of gravity. This example still has a large amount of potential to introduce students to the power of numerical simulations in theoretical physics, but existing approaches may be too detailed for many students and involve them beginning to learn a programming language at the same time. In this article, we take a simpler approach which uses as little coding as possible. The equation for the orbit of a planet is solved with and without relativistic corrections. It is shown that there is precession of the perihelion in the relativistic case, whereas in the Newtonian case, the orbit does not rotate about the origin. Quantitative information is extracted on the precession of the perihelion of Mercury and shown to match with observations.","PeriodicalId":50480,"journal":{"name":"European Journal of Physics","volume":"80 9","pages":"0"},"PeriodicalIF":0.6000,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An elementary approach to simulating the perihelion of Mercury\",\"authors\":\"Hollis Williams\",\"doi\":\"10.1088/1361-6404/ad0188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The relativistic correction to the precession of the perihelion of Mercury provided key evidence for the accuracy of general relativity as a theory of gravity. This example still has a large amount of potential to introduce students to the power of numerical simulations in theoretical physics, but existing approaches may be too detailed for many students and involve them beginning to learn a programming language at the same time. In this article, we take a simpler approach which uses as little coding as possible. The equation for the orbit of a planet is solved with and without relativistic corrections. It is shown that there is precession of the perihelion in the relativistic case, whereas in the Newtonian case, the orbit does not rotate about the origin. Quantitative information is extracted on the precession of the perihelion of Mercury and shown to match with observations.\",\"PeriodicalId\":50480,\"journal\":{\"name\":\"European Journal of Physics\",\"volume\":\"80 9\",\"pages\":\"0\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6404/ad0188\",\"RegionNum\":4,\"RegionCategory\":\"教育学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"EDUCATION, SCIENTIFIC DISCIPLINES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1361-6404/ad0188","RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION, SCIENTIFIC DISCIPLINES","Score":null,"Total":0}

引用次数: 0

摘要

对水星近日点进动的相对论性修正为广义相对论作为引力理论的准确性提供了关键证据。这个例子仍然有很大的潜力向学生介绍理论物理中数值模拟的力量，但是现有的方法对许多学生来说可能过于详细，并且涉及他们同时开始学习编程语言。在本文中，我们采用一种更简单的方法，使用尽可能少的代码。行星的轨道方程在有或没有相对论修正的情况下都可以求解。在相对论的情况下，近日点有进动，而在牛顿的情况下，轨道不围绕原点旋转。从水星近日点的岁差中提取定量信息，并显示与观测相匹配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An elementary approach to simulating the perihelion of Mercury

Abstract The relativistic correction to the precession of the perihelion of Mercury provided key evidence for the accuracy of general relativity as a theory of gravity. This example still has a large amount of potential to introduce students to the power of numerical simulations in theoretical physics, but existing approaches may be too detailed for many students and involve them beginning to learn a programming language at the same time. In this article, we take a simpler approach which uses as little coding as possible. The equation for the orbit of a planet is solved with and without relativistic corrections. It is shown that there is precession of the perihelion in the relativistic case, whereas in the Newtonian case, the orbit does not rotate about the origin. Quantitative information is extracted on the precession of the perihelion of Mercury and shown to match with observations.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

European Journal of Physics 物理-物理：综合

CiteScore

1.70

自引率

28.60%

发文量

128

审稿时长

3-8 weeks

期刊介绍： European Journal of Physics is a journal of the European Physical Society and its primary mission is to assist in maintaining and improving the standard of taught physics in universities and other institutes of higher education. Authors submitting articles must indicate the usefulness of their material to physics education and make clear the level of readership (undergraduate or graduate) for which the article is intended. Submissions that omit this information or which, in the publisher''s opinion, do not contribute to the above mission will not be considered for publication. To this end, we welcome articles that provide original insights and aim to enhance learning in one or more areas of physics. They should normally include at least one of the following: Explanations of how contemporary research can inform the understanding of physics at university level: for example, a survey of a research field at a level accessible to students, explaining how it illustrates some general principles. Original insights into the derivation of results. These should be of some general interest, consisting of more than corrections to textbooks. Descriptions of novel laboratory exercises illustrating new techniques of general interest. Those based on relatively inexpensive equipment are especially welcome. Articles of a scholarly or reflective nature that are aimed to be of interest to, and at a level appropriate for, physics students or recent graduates. Descriptions of successful and original student projects, experimental, theoretical or computational. Discussions of the history, philosophy and epistemology of physics, at a level accessible to physics students and teachers. Reports of new developments in physics curricula and the techniques for teaching physics. Physics Education Research reports: articles that provide original experimental and/or theoretical research contributions that directly relate to the teaching and learning of university-level physics.