From central force to Kepler’s area law

Yuvita Oktarisa Anetawardi; Ricardo Avelar Sotomaior Karam

Abstract

In Theorem 1 of his Principia, Newton showed that if one assumes a central force, Kepler’s area law follows. In this work, we report a study where two different ways of deriving this relation, one geometrical (à la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The students were asked to formulate the essential arguments and to discuss issues that they did not understand. The main findings consist of students’ understanding of the arguments and their core difficulties, as well as a comparative analysis of their preference for more geometrical or analytical derivations.

Original language	English
Publication date	2019
Number of pages	2
Publication status	Published - 2019
Event	GIREP-⁠ICPE-⁠EPEC-⁠MPTL 2019 CONFERENCE: Teaching-learning contemporary physics, from research to practice - Budapest University of Technology, Budapest, Hungary Duration: 1 Jul 2019 → 5 Jul 2019 https://girep2019.hu

Conference

Conference	GIREP-⁠ICPE-⁠EPEC-⁠MPTL 2019 CONFERENCE
Location	Budapest University of Technology
Country/Territory	Hungary
City	Budapest
Period	01/07/2019 → 05/07/2019
Internet address	https://girep2019.hu

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title = "From central force to Kepler{\textquoteright}s area law",

abstract = "In Theorem 1 of his Principia, Newton showed that if one assumes a central force, Kepler{\textquoteright}s area law follows. In this work, we report a study where two different ways of deriving this relation, one geometrical ({\`a} la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The students were asked to formulate the essential arguments and to discuss issues that they did not understand. The main findings consist of students{\textquoteright} understanding of the arguments and their core difficulties, as well as a comparative analysis of their preference for more geometrical or analytical derivations.",

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AU - Anetawardi, Yuvita Oktarisa

AU - Avelar Sotomaior Karam, Ricardo

PY - 2019

Y1 - 2019

N2 - In Theorem 1 of his Principia, Newton showed that if one assumes a central force, Kepler’s area law follows. In this work, we report a study where two different ways of deriving this relation, one geometrical (à la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The students were asked to formulate the essential arguments and to discuss issues that they did not understand. The main findings consist of students’ understanding of the arguments and their core difficulties, as well as a comparative analysis of their preference for more geometrical or analytical derivations.

AB - In Theorem 1 of his Principia, Newton showed that if one assumes a central force, Kepler’s area law follows. In this work, we report a study where two different ways of deriving this relation, one geometrical (à la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The students were asked to formulate the essential arguments and to discuss issues that they did not understand. The main findings consist of students’ understanding of the arguments and their core difficulties, as well as a comparative analysis of their preference for more geometrical or analytical derivations.

M3 - Conference abstract for conference

SP - 287

EP - 288

T2 - GIREP-⁠ICPE-⁠EPEC-⁠MPTL 2019 CONFERENCE

Y2 - 1 July 2019 through 5 July 2019

ER -

From central force to Kepler’s area law

Abstract

Conference

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