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cs:hydrophones:pinger_bearing:start [2017/10/07 14:53] Brian Moore [Generalized Derivation] |
cs:hydrophones:pinger_bearing:start [2017/10/07 20:14] (current) Brian Moore [Generalized Derivation] |
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| \hat{P} = \frac{\vec{P}}{|\vec{P}|} = \frac{(P_x,P_y,P_z)}{|\vec{P}|} = (\hat{i},\hat{j},\hat{k}) \\ | \hat{P} = \frac{\vec{P}}{|\vec{P}|} = \frac{(P_x,P_y,P_z)}{|\vec{P}|} = (\hat{i},\hat{j},\hat{k}) \\ | ||
| |\hat{P}| = 1\\ | |\hat{P}| = 1\\ | ||
| - | proj_\vec{P}\vec{H_n} = \vec{H_n} \cdot \hat{P} = \frac{|\vec{H_n}||\vec{P}|}{|\vec{P}|}\cos(\theta) = |\vec{H_n}|\cos(\theta) = d_n \\ | + | proj_\vec{P}\vec{H_n} = \vec{H_n} \cdot \hat{P} = |\vec{H_n}||\hat{P}|\cos(\theta) = |\vec{H_n}|\cos(\theta) = d_n \\ |
| $$ | $$ | ||
