Kepler's 3rd law and Bohr's hydrogen atom

The aim of this work is to reflect on Kepler's 3rd Law, or Law of periods, beyond its conventional scope - gravitational systems -, showing the possibility of its application to other systems in which there is a central force dependent on the inverse of the squared distance, as in Bohr's h...

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Autores principales: Falsetti, Paulo Henrique Eleuterio, da Silva, André Coelho
Formato: Artículo revista
Lenguaje:Portugués
Publicado: Asociación de Profesores de Física de la Argentina 2021
Materias:
Kepler's 3rd law
Bohr atom
3ª lei de Kepler
Átomo de Bohr
Acceso en línea:https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231
Aporte de:
Revista de Enseñanza de la Física de Universidad Nacional de Córdoba
id I10-R316-article-33231
record_format ojs
spelling I10-R316-article-332312022-03-31T03:46:04Z Kepler's 3rd law and Bohr's hydrogen atom A 3ª lei de Kepler e o átomo de hidrogênio de Bohr Falsetti, Paulo Henrique Eleuterio da Silva, André Coelho Kepler's 3rd law Bohr atom 3ª lei de Kepler Átomo de Bohr The aim of this work is to reflect on Kepler's 3rd Law, or Law of periods, beyond its conventional scope - gravitational systems -, showing the possibility of its application to other systems in which there is a central force dependent on the inverse of the squared distance, as in Bohr's hydrogen atom, described by the electrical interaction. In fact, there is a certain similarity be-tween the equation that allows its calculation and the equation that allows the calculation of Newtonian gravitational force. The choice of Bohr's hydrogen atom is due to its structural simplicity: a proton in the nucleus and an electron in orbit. Furthermore, it is worth mentioning that the Bohr model is structured based on classic concepts, even though it encompasses the quantum notion that the energy levels, or the rays of the orbits, are discrete. The paper also makes a brief historical review of the con-structions of Kepler's 3rd law and Bohr's atomic model. O objetivo deste trabalho é realizar uma reflexão acerca da 3ª lei de Kepler, ou lei dos períodos, para além de seu âmbito con-vencional - sistemas gravitacionais -, evidenciando a possibilidade de sua aplicação a outros sistemas em que exista uma força central dependente do inverso da distância ao quadrado, como ocorre no átomo de hidrogênio de Bohr, descrito pela interação elétrica. De fato, há certa similaridade entre a equação que permite calculá-la e a equação que possibilita o cálculo da força gravitacional newtoniana. A escolha do átomo de hidrogênio de Bohr se deve ao fato de sua simplicidade estrutural: um próton no núcleo e um elétron em órbita. Ademais, vale ressaltar que o modelo de Bohr é estruturado com base em conceitos clássicos, ainda que englobe a noção quântica de que os níveis de energia, ou os raios das órbitas, são discretos. O artigo faz também uma breve revisão histórica sobre as construções da 3ª lei de Kepler e do modelo atômico de Bohr. Asociación de Profesores de Física de la Argentina 2021-06-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231 10.55767/2451.6007.v33.n1.33231 Journal of Physics Teaching; Vol. 33 No. 1 (2021): January-June; 127-139 Revista de Enseñanza de la Física; Vol. 33 Núm. 1 (2021): Enero-Junio; 127-139 Revista de Enseñanza de la Física; v. 33 n. 1 (2021): Janeiro-Junho; 127-139 2250-6101 0326-7091 por https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231/33680 https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231/33681 http://creativecommons.org/licenses/by-nc-nd/4.0
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-316
container_title_str Revista de Enseñanza de la Física
language Portugués
format Artículo revista
topic Kepler's 3rd law
Bohr atom
3ª lei de Kepler
Átomo de Bohr
spellingShingle Kepler's 3rd law
Bohr atom
3ª lei de Kepler
Átomo de Bohr
Falsetti, Paulo Henrique Eleuterio
da Silva, André Coelho
Kepler's 3rd law and Bohr's hydrogen atom
topic_facet Kepler's 3rd law
Bohr atom
3ª lei de Kepler
Átomo de Bohr
author Falsetti, Paulo Henrique Eleuterio
da Silva, André Coelho
author_facet Falsetti, Paulo Henrique Eleuterio
da Silva, André Coelho
author_sort Falsetti, Paulo Henrique Eleuterio
title Kepler's 3rd law and Bohr's hydrogen atom
title_short Kepler's 3rd law and Bohr's hydrogen atom
title_full Kepler's 3rd law and Bohr's hydrogen atom
title_fullStr Kepler's 3rd law and Bohr's hydrogen atom
title_full_unstemmed Kepler's 3rd law and Bohr's hydrogen atom
title_sort kepler's 3rd law and bohr's hydrogen atom
description The aim of this work is to reflect on Kepler's 3rd Law, or Law of periods, beyond its conventional scope - gravitational systems -, showing the possibility of its application to other systems in which there is a central force dependent on the inverse of the squared distance, as in Bohr's hydrogen atom, described by the electrical interaction. In fact, there is a certain similarity be-tween the equation that allows its calculation and the equation that allows the calculation of Newtonian gravitational force. The choice of Bohr's hydrogen atom is due to its structural simplicity: a proton in the nucleus and an electron in orbit. Furthermore, it is worth mentioning that the Bohr model is structured based on classic concepts, even though it encompasses the quantum notion that the energy levels, or the rays of the orbits, are discrete. The paper also makes a brief historical review of the con-structions of Kepler's 3rd law and Bohr's atomic model.
publisher Asociación de Profesores de Física de la Argentina
publishDate 2021
url https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231
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AT falsettipaulohenriqueeleuterio a3aleidekeplereoatomodehidrogeniodebohr
AT dasilvaandrecoelho a3aleidekeplereoatomodehidrogeniodebohr
first_indexed 2024-09-03T20:40:01Z
last_indexed 2024-09-03T20:40:01Z
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