用称重法积分的开普勒第二定律

IF 0.5 4区教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES

Physics Teacher Pub Date : 2023-05-01 DOI:10.1119/5.0102901

Marta R. Stoeckel

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引用次数: 0

摘要

开普勒第二定律，也被称为等面积定律，考虑到椭圆扇形面积公式的复杂性，入门学生很难使用实际数据来探索。如果学生能够获得必要的材料，也可以使用引力漏斗中物体的视频分析，通过简化数学来证明开普勒第二定律。在这项活动中，学生们使用最少的设备发现开普勒第二定律，并使用称重积分技术进行数学计算，学生们剪下椭圆的截面，并使用截面的质量来比较它们的面积。

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Kepler’s Second Law Using Integration by Weighing

Kepler’s second law, also known as the law of equal areas, can be difficult for introductory students to explore using actual data given the complexity of the formula for finding the area of a sector of an ellipse. It is also possible to demonstrate Kepler’s second law with simplified math using video analysis of objects in a gravitation funnel if students have access to the necessary materials. In this activity, students discover Kepler’s second law using minimal equipment and mathematics using the technique of integration by weighing, where students cut out sections of an ellipse and use the mass of the sections to compare their areas.

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来源期刊

Physics Teacher PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.10

自引率

22.20%

发文量

期刊介绍： TPT publishes peer-reviewed papers on the teaching of introductory physics and on topics such as contemporary physics, applied physics, and the history of physics. Dedicated to strengthening the teaching of introductory physics at all levels, including secondary schools colleges and universities, TPT provides peer-reviewed content and materials to be used in classrooms and instructional laboratories.