The formula to calculate the Corrected Altitude (CA) is:
\[ CA = OA - \left(\frac{IE}{60}\right) \]
Where:
Vertex correction is the adjustment made to the observed altitude of a celestial body to account for the index error of a sextant. The index error is the angular displacement between the zero of the vernier scale and the zero of the arc, which occurs when the sextant’s mirrors are not perfectly aligned. This error must be accounted for to ensure accurate celestial navigation.
Let's assume the following values:
Using the formula to calculate the Corrected Altitude:
\[ CA = 45 - \left(\frac{5}{60}\right) = 45 - 0.0833 = 44.9167 \text{ degrees} \]
The Corrected Altitude (CA) is 44.92 degrees.
