MHB Restricted 3-Body ODE simplification

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The discussion centers on the difficulty of understanding the transition between two specific equations in a document related to orbital mechanics. One participant suggests that posting the equations directly in the forum would be more helpful than relying on external links. Another participant argues that the PDF contains additional valuable information that cannot be replicated in the forum. There is a consensus that including both the equations and the link would enhance clarity and assist those trying to help. The conversation emphasizes the importance of accessibility in complex mathematical discussions.
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.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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