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.
 
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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.