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

  • Identification data

    Identifier: imarina:9282630
    Authors:
    Herrera BSamper A
    Abstract:
    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.
  • Others:

    Author, as appears in the article.: Herrera B; Samper A
    Department: Escola Tècnica Superior d'Arquitectura
    URV's Author/s: Herrera Gómez, Blas / Samper Sosa, Albert
    Abstract: 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.
    Thematic Areas: Physics, multidisciplinary Physics and astronomy (miscellaneous) Physics and astronomy (all) Odontología Materiais General physics and astronomy Ensino Engenharias ii Educação Astronomia / física
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: albert.samper@urv.cat blas.herrera@urv.cat
    Author identifier: 0000-0002-4795-2127 0000-0003-2924-9195
    Record's date: 2023-02-27
    Papper version: info:eu-repo/semantics/publishedVersion
    Papper original source: Revista Cubana De Fisica. 33 (1): 32-36
    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
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2016
    Publication Type: Journal Publications
  • Keywords:

    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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