Restricted 3-Body ODE simplification

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Dustinsfl
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If you look on the last page http://www.mathhelpboards.com/f49/orbital-mechanics-notes-3682/, you will see the some equations. I don't see how to go from the 2nd to last equation to the last equation.
 
It may be better to post the equations in question here in this topic, rather than sending folks chasing after links. (Wondering)
 
MarkFL said:
It may be better to post the equations in question here in this topic, rather than sending folks chasing after links. (Wondering)

No. The pdf has more to offer then what I can do on the forum.
 
You specifically asked how to get from the second to last to the last equation.

If it were me, I would include those two equations in the body of the post for the convenience of our helpers, and then also include the link to the pdf for more information.