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{{DISPLAYTITLE:Kepler's Third Law}} | {{DISPLAYTITLE:Kepler's Third Law}} | ||
{{Rinfo | {{Rinfo | ||
|type= Lesson idea | |||
|attribution={{Tony Houghton}} | |attribution={{Tony Houghton}} | ||
|title=Kepler's Third Law | |title=Kepler's Third Law | ||
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|subject=Maths | |subject=Maths | ||
|resourcenumber= M0027 | |resourcenumber= M0027 | ||
|age= | |age= KS4, KS3, Secondary | ||
|content= Kepler's third law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D). | |content= Kepler's third law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D). | ||
|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.|related resources= | |Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.|related resources= | ||