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.

Originalsprog	Engelsk
Publikationsdato	2019
Antal sider	2
Status	Udgivet - 2019
Begivenhed	GIREP-⁠ICPE-⁠EPEC-⁠MPTL 2019 CONFERENCE: Teaching-learning contemporary physics, from research to practice - Budapest University of Technology, Budapest, Ungarn Varighed: 1 jul. 2019 → 5 jul. 2019 https://girep2019.hu

Konference

Konference	GIREP-⁠ICPE-⁠EPEC-⁠MPTL 2019 CONFERENCE
Lokation	Budapest University of Technology
Land/Område	Ungarn
By	Budapest
Periode	01/07/2019 → 05/07/2019
Internetadresse	https://girep2019.hu

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https://girep2019.hu/GIREP_ICPE_EPEC_MPTL_Conference_Abstract_Book.pdf

Citationsformater

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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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T1 - From central force to Kepler’s area law

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

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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

Konference

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