georgeh1ll
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How would I show Kepler's 2nd and 3rd laws apply to circular orbits?

My first instinct is to relate to Newton's gravitational laws or the centripetal force equations.

Any help is appreciated
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Physics Enemy
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(Original post by georgeh1ll)
How would I show Kepler's 2nd and 3rd laws apply to circular orbits?

My first instinct is to relate to Newton's gravitational laws or the centripetal force equations.

Any help is appreciated
3rd: a = rw^2 = r(4pi^2/T^2) = GM/r^2
So T^2 = r^3(4pi^2/GM) => T = kr^(3/2)

2nd: v = 2pi/T = constant, s = vt = (2pi/T)t
s = [email protected], A = 0.5r^[email protected] = 0.5rs = (rpi/T)t
So dA/dt = rpi/T = constant
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