Phys q on kepler (1 Viewer)

Run hard@thehsc

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Can someone explain the reasoning behind this - the derivation is straight forward
 

ExtremelyBoredUser

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excuse my paint.net artistry

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periapsis is the position which has the least distance between the focus and itself. consequently this is a - c.
apoapsis is the position which has the most distance between the focus and itself. this is a + c

e = c/a (eccentricity)

r_p = a - ea = a(1-e)
r_a = a + ea = a(1+e)



and the ratio of p to a is simply Rp/Ra



If you want reasoning how the radius equation is found
 

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