Celestial Navigation: NASR Method Homework Solutions

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Calculate altitudes, intercepts, and azimuths of celestial bodies using the NASR method. Plot celestial lines of position (LOPs) and fixes based on sights taken on the sun, moon, planets, or stars. Explore comparisons between the Law of Cosines and NASR methods for sight reduction. Practice plotting fixes and mastering celestial navigation techniques in global navigation exercises.


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  1. Sight Reductions & Plotting by the NASR Method Homework Solutions Global Navigation Chapter 5 1

  2. Objectives Calculate the altitude, intercept and azimuth of sights taken on the sun, moon, planets or stars using the NASR method. Plot a single celestial LOP from a sight taken on any of the celestial bodies. Plot a celestial fix using two, three, or more celestial sights. 2

  3. Question 1 Refer to your Chapter 4 Homework, exercises 1a. and 1b. a. Use the back of your SR96 forms and reduce the sights of the two bodies by the NASR method. b. Plot and label the two-body fix from these sights. i.e., Law of Cosines in Chapter 4, and NASR in this chapter. Are the fix coordinates the same? If not, why? Answer 1c Law of Cosines method Fix: L29 06,0 N, Lo034 17,0 W NASR method c. the two different methods of sight reduction The plots are virtually identical with only one nm or less difference in latitude or longitude. Compare the fix positions obtained by Fix: L29 06,5 N, Lo034 18,1 W 3

  4. Question 2 During the morning of 5 December while cruising near the Bahamas at L21 45,0 N, Lo072 33,6 W, you obtain sights that you reduce by the NASR method on the following bodies: Capella 05-26-11 Suhail 05-30-17 Body Procyon Capella GHA: 115 11,4 151 50,2 1nm difference in either latitude or longitude. A.2.b. Law of cosines Body Q.2.b. Refer to Chapter 4 Homework, exercise 2. Compare this fix to your Chapter 4 results. Explain the difference, if any Fix L21 47,0 N, Lo 072 35,0 W Zone Time Fix L21 46,2 N, Lo 072 34,8 W Intercept 25 nm, T 19 nm, A 21 nm, T Zn Procyon 05-22-06 A.2.a. Fix: L21 47,0 N, Lo072 35,0 W 254 312 198 NASR The plots by NASR and Law of Cosines methods are virtually identical with less than Sushail 095 05,3 a. Plot and label the three body fix. 4

  5. Sight Reductions & Plotting by NASR End of Global Navigation Chapter 5 5

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