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Kepler's Laws

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by

Richard Datwyler

on 14 May 2014

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Transcript of Kepler's Laws

Kepler's Laws
The first Kepler law don't have much math
The second law has a bit of an issue mathematically at this level, however we can make some assumptions
These 'pie' pieces have the same area

They almost look like triangles, but there is an issue with the curvature. Now that curvature affect impacts both pieces, and we can just call it 'C_Affect'
The orbital distance is the base, and it is found using the same amount of time multiplied by the velocity so that base = time*velocity
So our area will be 1/2 base * height* C_Affect
We can call the height the radius of the orbits
1/2 base * radius * C_Affect
Giving
Area = 1/2 time*Velocity*radius*C_Affect.
Because the areas are the same we can equate both of these, and we note that the time, and the C_Affect and the 1/2 are the same for both area values, giving
velocity * radius = velocity * radius
1
1
2
2
Keplers 2nd law
*
* approximation
Third law
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