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
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Acceso en línea:https://revistas.unc.edu.ar/index.php/revistaEF/article/view/33231
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Sumario: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.