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Numerical analysis of a planar motion: GeoGebra as a tool of investigation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F12%3A43884485" target="_blank" >RIV/60076658:12410/12:43884485 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical analysis of a planar motion: GeoGebra as a tool of investigation

  • Original language description

    The paper is inspired by the method of the numerical approximation of the planetary motion that was used by Richard Feynman in the book "The Feynman Lectures on Physics". Using Newton's Second Law and replacing infinitesimally small changes in variablesby their very small changes, he arrived at a respectable approximation of the elliptical motion of a planet around the sun. To organize all numerically computed data, which include the sequence of coordinates of the consecutive positions of the planet during its motion around the sun, Richard Feynman used a large table. Then, the plot of the resulting successive positions of the planet was in accordance with Kepler's laws. We show that GeoGebra, which enables a user to combine the spreadsheet with the numerical and graphical tools, is very suitable for grasping such complex tasks based on repetitive numerical computation and graphical planar representation.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    AM - Pedagogy and education

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    North American GeoGebra Journal

  • ISSN

    2162-3856

  • e-ISSN

  • Volume of the periodical

    1

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

    33-36

  • UT code for WoS article

  • EID of the result in the Scopus database