Kepler's Planetary Law of motion
Introduction: A german astronomer, Johannes kepler studied about planetary motion and formulated very interesting and informative behaviour of motion of a planet.
Let us see some interesting experiment and understand about planetary behaviour.
Perform it by your own .
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Kepler's First law : Every planet revolves around the sun in an elliptical orbit with sun situated at one of the focii. This is law of orbit.
Kepler's Second law : The radius drawn from sun to any planet sweeps out equal area in equal interval of time. This is law of area.
Kepler's Third law : The square of the period of revolution of the planet around the sun is directly proportional to the cube of semi-major axis of the elliptical orbit. This is law of period.
Mathematically,
If r is length of semimajor axis then, this
law states that
T2∝ r3
Fact About Ellipse
Ellipse is the locus of the points in a plane
such that the sum of their distances from two
fixed points, called the foci, is constant.
You can draw an ellipse by the following
procedure.
1) Insert two tacks or drawing pins, A and
B, as shown in the figure into a sheet of
drawing paper at a distance ‘d’ apart.
2) Tie the two ends of a piece of thread
whose length is greater than ‘2d’ and
place the loop around AB as shown in
the figure.
3) Place a pencil inside the loop of thread,
pull the thread taut and move the pencil
sidewise, keeping the thread taut.
The pencil will trace an ellipse.
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