Eight-Centered Oval Quasi-Equivalent to Kepler’s Ellipse of Planets’ Prajectory

  • B. Herrera Departament d’Enginyeria Informàtica i Matem`atiques, Universitat Rovira i Virgili, Spain
  • A. Samper Unitat predepartamental d’Arquitectura, Universitat Rovira i Virgili, Spain

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 εb by the eight-centered oval Oεb having the same center, axes, vertices, perimeter length and curvature at the vertices as εb, and also having practically negligible difference with respect to the surface area of εb, and also having barely distinguishable deformation error in relation to εb.

Published
Jul 14, 2016
How to Cite
HERRERA, B.; SAMPER, A.. Eight-Centered Oval Quasi-Equivalent to Kepler’s Ellipse of Planets’ Prajectory. Revista Cubana de Física, [S.l.], v. 33, n. 1, p. 32-36, july 2016. ISSN 2224-7939. Available at: <http://revistacubanadefisica.org/index.php/rcf/article/view/11>. Date accessed: 18 june 2019.
Section
Original Articles