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The Fictitious Force Procedure: A Simile of the Equivalent One-Dimensional Potential Method in Solving the Kepler Problem

El procedimiento de la fuerza ficticia: un símil del método del potencial unidimensional equivalente en la solución del problema de Kepler

dc.creatorGonzález Sierra, Hernando
dc.creatorToledo Chavarro, Cristian Camilo
dc.date2020-09-15
dc.identifierhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/1612
dc.identifier10.22430/22565337.1612
dc.descriptionAn alternative procedure to the equivalent one-dimensional potential method is developed to describe the qualitative characteristics of the motion of two particles under the effect of central forces, applying it to the specific case of the Kepler problem related to the otion of the planets around the sun that is, for the inversely proportional attractive force law, the square of the distance. The new treatment called ¨Fictitious Force Method¨ is implemented in the context of Classical Mechanics and differs from the equivalent one-dimensional potential method in that instead to use the fictitious potential, the fictitious force is used; from this last perspective, it is identified that one is dealing with a simile, since it is acting within the same area of knowledge, and that it refers to a new tool with geometric characteristics to obtain qualitative solutions to the cinematic effects when you have central forces between two bodies. The simile, for the particular case treated, leads to the same results of the equivalent one-dimensional potential method that provides conic sections as trajectories for the attractive force of the inverse square between the bodies, but has the advantage that the values ​​of the force can be quantified effective for some specific orbits. Like the equivalent one-dimensional potential method, the fictive force simile can be arbitrarily applied to other central force laws and, most importantly, the procedure could show its potential in other areas of Contemporary Physics, Physical Sciences and ties to Engineering.en-US
dc.descriptionSe elabora un procedimiento alternativo al del método del potencial unidimensional equivalente para describir las características cualitativas del movimiento de dos partículas bajo el efecto de fuerzas centrales, aplicándolo al caso específico del problema de Kepler relacionado con el movimiento de los planetas alrededor del sol; es decir, para la ley de fuerza atractiva inversamente proporcional al cuadrado de la distancia. El nuevo tratamiento denominado “Método de la fuerza ficticia” es implementado en el contexto de la Mecánica Clásica y difiere del método del potencial unidimensional equivalente a que en lugar de emplear el potencial ficticio  se usa la fuerza  ficticia; desde esta última perspectiva, se identifica que se está tratando con  un símil,  ya que se actúa en la misma área del conocimiento, y que se refiere a una nueva herramienta de características geométricas para obtener soluciones de tipo  cualitativo  a los efectos cinemáticos cuando se tienen fuerzas centrales entre dos cuerpos. El símil, para el caso particular tratado en el presente, conduce a los mismos resultados del método del potencial unidimensional equivalente, que proporciona secciones cónicas como trayectorias para la fuerza atractiva del cuadrado inverso entre los cuerpos, pero tiene la ventaja de que se pueden cuantificar los valores de la fuerza efectiva para algunas órbitas específicas. Al igual que el método del potencial unidimensional equivalente, el símil de la fuerza ficticia puede ser aplicado a otras leyes de fuerzas centrales de forma arbitraria y, lo más importante, el procedimiento podría mostrar su potencialidad en otras áreas de la física contemporánea, ciencias físicas y afines e ingenierías.es-ES
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dc.publisherInstituto Tecnológico Metropolitano (ITM)en-US
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/1612/1756
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/1612/1776
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/1612/1802
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dc.rightsCopyright (c) 2020 TecnoLógicasen-US
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0en-US
dc.sourceTecnoLógicas; Vol. 23 No. 49 (2020); 147-160en-US
dc.sourceTecnoLógicas; Vol. 23 Núm. 49 (2020); 147-160es-ES
dc.source2256-5337
dc.source0123-7799
dc.subjectCentral forcesen-US
dc.subjectreduced massen-US
dc.subjectfictitious forceen-US
dc.subjectpotential energyen-US
dc.subjectFuerzas centraleses-ES
dc.subjectmasa reducidaes-ES
dc.subjectfuerza ficticiaes-ES
dc.subjectenergía potenciales-ES
dc.titleThe Fictitious Force Procedure: A Simile of the Equivalent One-Dimensional Potential Method in Solving the Kepler Problemen-US
dc.titleEl procedimiento de la fuerza ficticia: un símil del método del potencial unidimensional equivalente en la solución del problema de Kepleres-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeResearch Papersen-US
dc.typeArtículos de investigaciónes-ES


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