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Basic Orbits and Newton's cannon.

If all you know is the initial velocity and the height of a mountain, how do you figure out the semi-major axis and eccentricity for newton's cannon thought experiment?  

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tmonteit
Asked:
tmonteit
3 Solutions
 
phoffricCommented:
See Binary Circular Orbit and then axis:
    http://hyperphysics.phy-astr.gsu.edu/hbase/orbv.html#rm

Here is another link that may be useful:
    http://galileo.phys.virginia.edu/classes/152.mf1i.spring02/DiscoveringGravity.htm
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ozoCommented:
You can derive it from Kepler's 2nd and 3rd laws and the vis viva equation.
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tmonteitAuthor Commented:
I'm very amature at this, what is the derivation?
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Paul SauvéCommented:
Perhaps this presentation will be of some use to you: Celestial Mechanics - Dr. Brian Rachford !
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