- #1
Dustinsfl
- 2,281
- 5
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 won't 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 won't work but FindRoot did for {a,5000}.
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