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Measuring Altitude The Davis Mark 3 Marine Sextant (aka “lifeboat” sextant) Light Path through a Sextant The moveable arm adjusts the angle of Mirror B Sextant Geometry The arc is about one sixth of 360 degrees, hence a “sextant” Through geometry, it can be proven that: altitude (α) = two times angle observed between the mirrors (2 β) Sextant graphic courtesy of Joaquim Alves Gaspar - own image, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1314046 View through a Sextant A sextant produces a split screen, one stationary (from the horizon mirror) and one adjustable (from the index mirror) The instrument error called Index Error must be accounted for prior to an altitude measurement. Set the sextant to zero and observe the horizon. If it is “broken” between the two images, there is index error. Remove the error by adjusting the index mirrors until you have a continuous horizon at zero. Alternatively, adjust the angle until you have a continuous horizon. This angle is your index error. The index correction is the negative value of the index error. Therefore, the index correction is always removed from the altitude reading. Taking a stellar sight Align horizon image with the horizon and find a star with your index mirror Adjust the index mirror until the star lines up with the horizon Rock the sextant in an arc motion to confirm that you were level with the horizon when making the measurement. Taking a Sun Sight Here you will need the index filter. Never look at the Sun though a sextant without a filter! Usually, the lower limb of the Sun is used to measure solar altitude. You may also need a horizon filter to shield the glare of the Sun on the water. Reading a Sextant Arc reads whole degrees “0” on Venier is the benchmark to read Arc (always read lower value) VENIER Venier reads arcminutes (in 2’ increments) The first alignment of Vernier and Arc tickmarks to the right of zero is the benchmark to read the Venier. Remember 60’ = 1o (60 arcminutes = 1 degree) Sextant Operation Quiz Name ______________________ 1. What is a sextant used to measure? 2. Specifically in celestial navigation, between which two benchmarks does a sextant measure? 3. In what unit(s) does a sextant measure? 4. Before taking sights of the Sun, you align the direct and reflected images of the horizon. Your reading is 1.8’. a. What is your Index Error? _________ b. What is your Index Correction? _________ 5. You should always read the ( higher or lower ) value on the arc scale of the sextant? (circle answer) 6. What is the purpose of "swinging the arc" when taking a sight with a sextant? a. To help obtain a clear view of the horizon. b. To be sure that the sextant is horizontal at the time of the sight. c. To help focus the body in the sextant telescope. d. To be sure that the sextant is vertical at the time of the sight. Answer:____ 7. How do you measure the vernier scale on the sextant? 8. What is the reading of this sextant measurement: 9. What is the Index Error of the sextant in our example on the board? Answer: _______ 10. What is the sextant reading of the Sun’s lower limb on the board (uncorrected for the Index Error)? Answer:_______