Articles producció científica> Escola Tècnica Superior d'Arquitectura

Eight-centered oval quasi-equivalent to Kepler's Ellipse of planets' trajectory

  • Dades identificatives

    Identificador: imarina:9282630
    Autors:
    Herrera BSamper A
    Resum:
    This paper has academic nature, nevertheless it is an application from [9] that we think can be interesting to students and instructors of undergraduate level of physics. With low level of geometric and computational techniques the readers can reproduce the results of the present paper. The most important thing is that these results clearly show that it is not enough take numerical measures of the orbits of the bodies to decide which are the real equations and laws that govern them. We present an approximation of the Kepler's ellipse of the planets' trajectory by circular arcs, which is quasi-equivalent; that is: we present the approximation of the Kepler's ellipse ?b by the eight-centered oval O?b having the same center, axes, vertices, perimeter length and curvature at the vertices as ?b, and also having practically negligible difference with respect to the surface area of ?b, and also having barely distinguishable deformation error in relation to ?b.
  • Altres:

    Autor segons l'article: Herrera B; Samper A
    Departament: Escola Tècnica Superior d'Arquitectura
    Autor/s de la URV: Herrera Gómez, Blas / Samper Sosa, Albert
    Resum: This paper has academic nature, nevertheless it is an application from [9] that we think can be interesting to students and instructors of undergraduate level of physics. With low level of geometric and computational techniques the readers can reproduce the results of the present paper. The most important thing is that these results clearly show that it is not enough take numerical measures of the orbits of the bodies to decide which are the real equations and laws that govern them. We present an approximation of the Kepler's ellipse of the planets' trajectory by circular arcs, which is quasi-equivalent; that is: we present the approximation of the Kepler's ellipse ?b by the eight-centered oval O?b having the same center, axes, vertices, perimeter length and curvature at the vertices as ?b, and also having practically negligible difference with respect to the surface area of ?b, and also having barely distinguishable deformation error in relation to ?b.
    Àrees temàtiques: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Odontología Materiais General physics and astronomy Ensino Engenharias ii Educação Astronomia / física
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: albert.samper@urv.cat blas.herrera@urv.cat
    Identificador de l'autor: 0000-0002-4795-2127 0000-0003-2924-9195
    Data d'alta del registre: 2023-02-27
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Referència a l'article segons font original: Revista Cubana De Fisica. 33 (1): 32-36
    Referència de l'ítem segons les normes APA: Herrera B; Samper A (2016). Eight-centered oval quasi-equivalent to Kepler's Ellipse of planets' trajectory. Revista Cubana De Fisica, 33(1), 32-36
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2016
    Tipus de publicació: Journal Publications
  • Paraules clau:

    Physics and Astronomy (Miscellaneous),Physics, Multidisciplinary
    Physics, multidisciplinary
    Physics and astronomy (miscellaneous)
    Physics and astronomy (all)
    Odontología
    Materiais
    General physics and astronomy
    Ensino
    Engenharias ii
    Educação
    Astronomia / física
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