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The Marine Sextant • 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 the angle between two objects with a great deal of precision. • In celestial navigation, these two 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 – index error (error in the sextant itself) – difference between visible and celestial horizon, due to the observer’s height of eye – adjustment to equivalent reading at the center of the earth and the center of the body – refractive effects of the earth’s atmosphere Index Correction • There may be some error present in the sextant itself; this is known as index error. • This is easily determined by setting the sextant to zero and observing the horizon; if there is no error, the view looks like the next slide... Index Correction • However, often there is a slight error. In this case, the view looks a little different… Index Correction • To account for this error, we apply an index correction (IC). Dip Correction • 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. • The need for this correction is illustrated on the next slide... Dip Correction • The dip correction is dependent upon the observer’s height of eye. • Values of the dip correction are tabulated inside the front cover of the Nautical Almanac. Apparent Altitude • Now, by applying the IC and the dip correction, we can determine the apparent altitude (ha). • Simply put, ha = hs + IC + dip Altitude Correction • The last major correction accounts for the refractive effects of the earth’s atmosphere. • This correction is known as the altitude correction and is tabulated inside the front cover of the Nautical Almanac. • The next slide illustrates the need for this correction... Altitude Correction Determination of Ho • The corrections needed to convert from the sextant altitude (hs) to observed altitude (Ho) are – IC (sextant error) – Dip (height of eye) – Altitude (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 non-standard 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, and 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 walk us through the calculation, 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...