Question: Transforming equations

I am not quite sure wether this question belongs into this Forum but i will post it anyway (plz just give me a hint if i am wrong here).

In the Maple file i attached i wrote a solution for the Kepler-Problem(eq1) which i developed with Maple. I isolated r and simplified the result (eq2a).

However solutions from text book look a little different (it can be seen in Whatitshouldbe). I am sure that both functions are the same (i plotted both functions with some random values at the bottom of the document to demonstrate they yield the same result for r).

Is there anyway i can persuade Maple from converting eq2a into something that looks at least similar to "Whatitshouldbe"?

Maple even failed to do the testeq-routine on both expressions, therefore i plotted them both.

kepler2.mw