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LESSON 19: The Marine Sextant, and Determination of Observed Altitude • Learning Objectives – Know the purpose of a marine sextant. – Apply proper procedures to determine the observed altitude (Ho) of a celestial body. The Marine Sextant • A marine sextant is nothing more than a device designed to measure, with a great deal of precision, the angle between two objects. • In celestial navigation, these objects are – a celestial body (star, sun, moon, or planet) – the visible horizon. Use of the Sextant • A sextant is used to determine the sextant altitude (hs) of a celestial body. • First, we have to decide which stars to observe; this is done using a Rude Starfinder or other methods. • When making an observation, the star should look as shown in the next slide... Determination of Observed Altitude (Ho) • We must make some corrections to hs to come up with the Ho, which we need to use the altitude-intercept method. Determination of Observed Altitude (Ho) • These corrections account for the following: – index error (error in the sextant itself) – difference between visible and celestial horizon, due to the observer’s height of eye – adjustment to the equivalent reading at the center of the earth and the center of the body – refractive effects of the earth’s atmosphere Determination of Ho • The corrections needed to convert from the sextant altitude (hs) to observed altitude (Ho) are 1. Index Correction (IC) - sextant error 2. Dip (D) - height of eye 3. Altitude Correction (Alt Corr) refractive effects of the atmosphere 1. Index Correction (IC) • Error present in the sextant itself is known as index error (IC). • This error is easily determined by setting the sextant to zero and observing the horizon; if there is no error, the view looks like that of the following slide... Index Correction • Often, however, the sextant has a slight error. In this case, the view is as follows: Index Correction • To account for this sextant error, we apply an index correction (IC). • This correction number is a function of the individual sextant itself. 2. Dip Correction (D) • Next, we must account for the difference between the celestial horizon and the visible horizon, due to our height of eye. • This is known as the dip correction (D). • Values of the dip correction are tabulated inside the front cover of the Nautical Almanac. Apparent Altitude • Now, by applying the index correction (IC) and the dip correction (D), we can determine the apparent altitude (ha). ha = hs + IC + D • Note that this is not yet the observed altitude (Ho) required for our calculations. 3. Altitude Correction • The third correction accounts for the refractive effects of the earth’s atmosphere. • Known as the altitude correction, it is tabulated inside the front cover of the Nautical Almanac. Ho = ha + Alt Corr Altitude Correction Determination of Ho • Again, the corrections needed to convert from the sextant altitude (hs) to observed altitude (Ho) were – IC (index correction, from sextant error) – D (dip, from height of eye) – Alt Corr (altitude correction, from refractive effects) Additional Corrections • These corrections are all that are needed under normal circumstances to determine Ho of a star. • An additional correction is required if the observation is made under nonstandard conditions of temperature or pressure. Additional Corrections • If we are using the sun, moon, or planets, the problem becomes a bit more complicated. • In addition to the corrections we already mentioned, we must also accout for – horizontal parallax (sun, moon, Venus, Mars) – semidiameter of the body (sun and moon) – augmentation (moon) Additional Corrections • These additional corrections make determination of Ho for the sun, moon, and planets generally more difficult than those for a star. • For simplicity’s sake, we’ll stick to determination of Ho for a star. Use of a Strip Chart • To aid in making any calculations in celestial navigation, we normally use a form called a strip chart. • An example of a strip chart used for calculating Ho of Dubhe is shown on the next slide...