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I let Mathematica run for over an hour but it couldn't solve this equation. Can someone run this in Matlab or Python and see if they can get a solution?

$\alpha = 2\arcsin\left(\sqrt{\frac{10014.6}{2*a}}\right)$

$\beta = 2\arcsin\left(\sqrt{\frac{10014.6 - 6339.06}{2*a}}\right)$

$$

780\sqrt{\frac{398600}{a^3}} = \alpha - \beta -(\sin(\alpha) - \sin(\beta))

$$

Solving for a.

Never mind. NSolve and Solve wont work but FindRoot did for {a,5000}.

$\alpha = 2\arcsin\left(\sqrt{\frac{10014.6}{2*a}}\right)$

$\beta = 2\arcsin\left(\sqrt{\frac{10014.6 - 6339.06}{2*a}}\right)$

$$

780\sqrt{\frac{398600}{a^3}} = \alpha - \beta -(\sin(\alpha) - \sin(\beta))

$$

Solving for a.

Never mind. NSolve and Solve wont work but FindRoot did for {a,5000}.

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