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

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

AM - Pedagogika a školství

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

North American GeoGebra Journal

ISSN

2162-3856

e-ISSN

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Svazek periodika

1

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

4

Strana od-do

33-36

Kód UT WoS článku

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EID výsledku v databázi Scopus

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