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        <title>Pinger Bearing</title>
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        <description>Pinger Bearing

This page describes the math used to calculate our bearing towards the pinger using our hydrophones. A solution is derived in 2 dimensions to show how it works, then the final result from that is extrapolated to 3 dimensions. The speed of sound of water is defined as $c_s$$H_0$$(0,0)$$H_x$$(x,0)$$H_y$$(0,y)$$H_x$$t_x$$H_y$$t_y$$H_0$$t_0$$H_x$$H_0$$H_x$$H_0$$H_x$$d_x = c_s(t_0 - t_x)$$H_0$$H_y$$d_y = c_s(t_0 - t_y)$$H_0$$H_0$$i,j$$$
\begin{bmatrix} 
\hat{i} \\ \hat{j}
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