From a central force to Kepler's area law: Student difficulties and preferences with two derivations

Research output: Contribution to journal › Journal article › Research › peer-review

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From a central force to Kepler's area law : Student difficulties and preferences with two derivations. / Oktarisa, Yuvita; Karam, Ricardo.

In: European Journal of Physics, Vol. 42, No. 1, 015706, 2021, p. 1-23.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Oktarisa, Y & Karam, R 2021, 'From a central force to Kepler's area law: Student difficulties and preferences with two derivations', European Journal of Physics, vol. 42, no. 1, 015706, pp. 1-23. https://doi.org/10.1088/1361-6404/abbf3d

APA

Oktarisa, Y., & Karam, R. (2021). From a central force to Kepler's area law: Student difficulties and preferences with two derivations. European Journal of Physics, 42(1), 1-23. [015706]. https://doi.org/10.1088/1361-6404/abbf3d

Vancouver

Oktarisa Y, Karam R. From a central force to Kepler's area law: Student difficulties and preferences with two derivations. European Journal of Physics. 2021;42(1):1-23. 015706. https://doi.org/10.1088/1361-6404/abbf3d

Author

Oktarisa, Yuvita ; Karam, Ricardo. / From a central force to Kepler's area law : Student difficulties and preferences with two derivations. In: European Journal of Physics. 2021 ; Vol. 42, No. 1. pp. 1-23.

Bibtex

@article{436ecb61946f45b7894e83fbdc0a1682,
title = "From a central force to Kepler's area law: Student difficulties and preferences with two derivations",
abstract = "In theorem 1 of his celebrated 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 relationship, one geometrical ({\`a} la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The participants were asked to formulate the essential arguments and to discuss issues that they did not understand. The findings consist of the participants' main difficulties to understand the arguments, as well as indications of their preference for more geometrical or analytical derivations. ",
keywords = "Central force, Kepler's area law, Kepler's laws, Law of universal gravitation",
author = "Yuvita Oktarisa and Ricardo Karam",
year = "2021",
doi = "10.1088/1361-6404/abbf3d",
language = "English",
volume = "42",
pages = "1--23",
journal = "European Journal of Physics",
issn = "0143-0807",
publisher = "Institute of Physics Publishing Ltd",
number = "1",

}

RIS

TY - JOUR

T1 - From a central force to Kepler's area law

T2 - Student difficulties and preferences with two derivations

AU - Oktarisa, Yuvita

AU - Karam, Ricardo

PY - 2021

Y1 - 2021

N2 - In theorem 1 of his celebrated 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 relationship, one geometrical (à la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The participants were asked to formulate the essential arguments and to discuss issues that they did not understand. The findings consist of the participants' main difficulties to understand the arguments, as well as indications of their preference for more geometrical or analytical derivations.

AB - In theorem 1 of his celebrated 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 relationship, one geometrical (à la Newton) and the other analytical (using vector calculus), were presented to pre-service physics teachers. The participants were asked to formulate the essential arguments and to discuss issues that they did not understand. The findings consist of the participants' main difficulties to understand the arguments, as well as indications of their preference for more geometrical or analytical derivations.

KW - Central force

KW - Kepler's area law

KW - Kepler's laws

KW - Law of universal gravitation

U2 - 10.1088/1361-6404/abbf3d

DO - 10.1088/1361-6404/abbf3d

M3 - Journal article

AN - SCOPUS:85099139020

VL - 42

SP - 1

EP - 23

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 1

M1 - 015706

ER -

ID: 255682423