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Updated eccentric equatorial separatrix to analytic result#58

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joshbmat wants to merge 1 commit intoBlackHolePerturbationToolkit:masterfrom
joshbmat:equatorial_separatrix
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Updated eccentric equatorial separatrix to analytic result#58
joshbmat wants to merge 1 commit intoBlackHolePerturbationToolkit:masterfrom
joshbmat:equatorial_separatrix

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Minor change.

Solved the quartic separatrix polynomial (equatorial plane case) with the analytic expression. Checked to be safe in all limits and compared with existing root finding method.

Now can return analytic expression for separatrix as functions of a,e,x=+/-1 instead of only numeric values from root finding method, can take series expansions etc.

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