EIGHT-CENTERED OVAL QUASI-EQUIVALENT TO KEPLER'S ELLIPSE OF PLANETS' TRAJECTORY.
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 imp...
| Publicado en: | Revista Cubana de Física Vol. 33; no. 1; pp. 32 - 37 |
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| Autores principales: | , |
| Formato: | Artículo |
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Universidad de La Habana
July2016
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=lth&AN=123688743&site=ehost-live header: @attributes: shortDbName: lth uiTerm: 123688743 longDbName: MedicLatina uiTag: AN controlInfo: bkinfo: jinfo: jid: 02539268 UEW jtl: Revista Cubana de Física issn: 02539268 maglogo: N pubinfo: dt: July2016 vid: 33 iid: 1 pid: 21208 pub: Universidad de La Habana artinfo: ui: 123688743 ppf: 32 ppct: 5 formats: fmt: @attributes: type: P size: 470KB tig: atl: EIGHT-CENTERED OVAL QUASI-EQUIVALENT TO KEPLER'S ELLIPSE OF PLANETS' TRAJECTORY. aug: au: HERRERA, B. SAMPER, A. affil: Departament d'Enginyeria Informática i Matemátiques, Universitat Rovira i Virgili, Spain Unitat predepartamental d'Arquitectura, Universitat Rovira i Virgili, Spain su: PHYSICS education PLANETARY orbits KEPLER'S laws COMPUTERS in education ELLIPSES (Geometry) sug: subj: PHYSICS education PLANETARY orbits KEPLER'S laws COMPUTERS in education ELLIPSES (Geometry) ab: 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 ε by the eight-centered oval O having the same center, axes, vertices, perimeter length and curvature at the vertices as ε, and also having practically negligible difference with respect to the surface area of ε, and also having barely distinguishable deformation error in relation to ε. Este artículo, aunque tiene carácter académico en su naturaleza y presentación, consiste en una aplicación de las conclusiones geométricas de [9] la cual consideramos puede ser interesante para estudiantes y profesores en licenciaturas y grados de física. Con bajo nivel de geometría y técnicas computacionales, los lectores pueden reproducir los cálculos del presente trabajo. El aspecto más importante que se presenta aquí es que los resultados muestran que no es suficiente tomar medidas numéricas de las orbitas de cuerpos para poder determinar las ecuaciones y leyes reales que las gobiernan. Más concretamente, presentamos una aproximación, por arcos circulares, de la elipse de Kepler de las trayectorias de los planetas, la cual es quasi-equivalente. O sea, presentamos la aproximacion de la elipse de Kepler ε por el ovalo de ocho centros O el cual posee: mismo centro, ejes, vertices, perímetro, y curvatura en los vertices que ε, y además la diferencia entre las áreas de ε y O es prácticamente nula y el error de deformacion entre ambos es por anadidura prácticamente indistiguible. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Revista Cubana de Física is the property of Universidad de La Habana and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Revista Cubana de Física holder: Universidad de La Habana dt: @attributes: year: 2016 holdings: @attributes: islocal: N |
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