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CLASS-3 Ocean and Offshore Navigation ( O’Nav )

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CLASS-3 Ocean and Offshore Navigation ( O’Nav ) CLASS-3 Ocean and Offshore Navigation ( O’Nav ) Plane Sailing 1). Using plane sailing formulae, find the final position in each case:- Initial Position Track Distance a. 35°42'N,71°22'W 308° 428' b. 40°06'N 56°07'W 145° 377' 2). Using plane sailing formulae, find the course and distance between each case. A B a. 31°12'N 30°56'W 33°47'N 25°03'W b. 18°48'S 89°12'E 23°34'S 86°51'E 3). Using Plane sailing formulae, find the set and drift in each case. D.R. Position Observed Position a. 45°18'S 000°21'W 44°56'S 000°14'E b. 58°20'N 093°21'E 59°04'N 092°58'E Parallel Sailing 1. Leaving Position 34º 18’S 172º 10’E, a ship steams due East until longitude 151º 20’W is reached. Find the distance steamed and the average speed if the steaming time is 2 days 15 hours 24m. 2. From position 50º 00’N 8º 00’W, a ship steamed due West for 345 miles. Find the longitude of arrival. 3. A ship in south latitude, on longitude 48º 40’E, steams due East for 2418 miles and arrives in longitude 90º 28’E. Find the parallel of Latitude along which the ship steamed. 4. From position 52º 33’N 144º 47’W a ship steamed 180 miles due South, 180 miles due East, 180 miles due North and 180 miles due West. Find the final position and the final distance from the starting point. 5. Find the speed of rotation of the earth’s surface at: (a) 80º 00’N. (b) 80º 00’S (c) 60º 00’N (d) The Equator. 1 | Page Mercator Sailing 1. A vessel leaves position 2014'S 943'W and makes good a ground track of 316ºT and a distance of 4135 miles. By Mercator Sailing calculate the arrival position. 2. A vessel leaves position 2947N 2436.0’W and makes good a ground track of 211ºT and a distance of 960 miles. By Mercator Sailing calculate the arrival position. 3. A vessel leaves position 3011'N 15949'E and makes good a ground track of 111ºT and a distance of 4915 miles. By Mercator Sailing calculate the arrival position. 4. A vessel in position 22o 31’N , 147o 25’E receives a distress message from a vessel in position 11o 34’N , 155o 26’E. She is to proceed directly to assist the vessel in distress. What course must she steer and how long will it take to arrive on scene if her speed is 19.5 knts. 5. A vessel in position 13o 18’N , 179o 23’W, steers a course of 219o(T). In what longitude will the vessel cross the equator? DAYS WORK 1. At noon on 14th Sept, a ship in position 40°12.0’N 076°46.0’W set course 250°(C) ( Varn 6°W, Devn 4°W ) at an engine speed of 16 kts. At 1600, course was altered to 287° ( C ) ( Varn 6°W, Devn 2°E ) and engine speed was decreased to 14 kts. At 2200, course was again altered to 340°(C) ( Varn 5°W, Devn 5°E) and engine speed was maintained at 14 kts till 0600 next morning, when course was altered to 277°( C ) ( Varn 5°W, Devn 2°W ) and speed increased to 15 kts and this course and speed was maintained till noon on 15th Sept. Find EP on 15th noon, the course and distance made good, if a current was setting 027°(T) at 2 kts throughout. 2. On 16th Jan a ship in position 00° 10.0’N 068°09’E set courses as follows – Time Co ( C ) Varn Devn L’way Wind Log i. 1200 126° 4°E 2°E 3° SW 000 ii. 1800 149° 4°E 3°E 2° NE 089 iii. 2300 210° 5°E 1°W 3° SE 168 iv. 0700 240° 5°E 2°E Nil W 290 v. 1200 270° 4°E 0° 3° N 368 A current set the v/l 183°(T) at 1.5kts throughout. Find the EP at next noon and the course and distance made good ? 3. At noon on 14th Dec, a light house in 05° 56.0’N 080°36.0’E bore 000° ( C ), error 4°W, distance 10 miles. Course was then set to 220°( C ), Devn 1°E, Varn 2°W, log 0. At 2000, engines broke down and the log showing 82, was hauled in. At 2200, engines were repaired and course was reset to 200° ( C ) Devn nil, Varn 2 | Page 2°W, log 0. Ship maintained this course till noon next day when log showed 140. A current was estimated to set 350° ( T ) at 2 kts throughout. Find the EP at noon on 15th Dec ? 4. At noon on 2oth July, Pargo Point ( 32° 48.0’N 017° 16.0’W ) bore 080° ( C ) 10 miles off while steaming 219° ( C ) ( Devn 3°E Varn 18°W ). Ship maintained this course at a steady speed of 15 kts till next day. Clocks were retarded 12 minutes at 0200 hrs. Find the DR at 1200 hrs on 21st July, if the fix then was 27° 12.0’N 020° 05.0’W, find the set and drift / rate of current experienced during the above periods. 5. A ship steams the following courses by Gyro ( error nil ) – Time Co ( G ) Speed 13th Jan / 1200 236° 15.0 1700 284° 16.0 2000 262° 15.0 14th Jan/ 0400 198° 14.5, and continued thus till noon, 14th Jan. At 1800 on 13th Jan, a light house in position 48° 28.5’N 067° 05.0’E bore 4 points on the starboard bow and at 1845 it was abeam. Find the 14th noon DR, the course and distance made good noon to noon ? GREAT CIRCLE SAILING 1. Find by great circle sailing the distance, the initial and final tracks from 22°10'N 74°56'W to 49°27'N 10°46'W. 2. Find by great circle sailing the distance, the initial and final tracks from 37°06N 126°46'W to 34°14'N 146°22'W. 3. Find by great circle sailing the distance, the initial and final tracks from 04°07N 98°55'E to 41°00'S 33°58'E 4. Find by great circle sailing the distance, the initial and final tracks from Balboa 08º 53’N 079º 30’W to Snares Island 47º50’S 167º 50’E COMPOSITE GREAT CIRCLE SAILING ( NAPIERS’ RULES ) 1. Find the initial and final tracks on the great circle track between 51°23'N 09°36'W and 46°00'N 49°00'W. Find also the latitude and longitude of the vertex. 2. Find the distance and initial and final tracks on the G.C. track between 33°52'S 151°16'E and 12°04'S 77°14'W. Find also the Latitude of the point where the great circle track crosses the 180° meridian. 3. Find the initial and final track and also the distance on the G.C. track from position 35°55'S 37°21'W to position 27°14'N 52°39'E. Find the latitude & longitude of the vertex and the latitude in which the great circle crosses the longitude of 17°21'W and 22°39'E. 4. a. Find the great circle distance and the initial track from position 40°42'N 10°05'W to position 40°42'N 50°15'W. b. Find the position where the vessel's true track becomes 270°. 3 | Page c. Determine the difference in distance if the vessel had steamed along the parallel between the two positions. 5. A vessel leaves 47°50'N 52°06'W and follows a G.C. track towards 50°52'N 07°23'W making good a ground speed of 15 Knots. a. Calculate the time taken to reach the most northerly latitude. b. Calculate the expected position after steaming 1500 miles along the G.C. track. Azimuth – Sun 1. On 11th October at about 0930 LMT in DR Lat. 54° 46'N, Long. 000°17'W the sun bore 144°C. A chronometer, known to be 4m 18s slow on GMT showed 9h 32m 14s. If the variation is 9.5°W, find the compass error and the deviation. 2. On 7th January at about 1535 LMT in DR Lat. 32° 48'S, Long 31°10'E the sun was observed bearing 284°C. A chronometer which was 3m 14s fast on GMT showed 1h 35m 27s. If the variation was 21°W, find the compass error and the deviation. 3. On 10th June at 1421 LMT in DR Lat. 28°00'N Long 050°00'E the sun was observed bearing 261°C. If the variation was 2.5°E, find the compass error and the deviation. 4. On 10th July at about 0800 LMT in DR Lat. 23°15'N Long. 31 °36'W the sun was observed bearing 093°C. The chronometer, which was 5m 20s slow on GMT showed 10h 02m 04s. If variation is 10°W find the compass error and the deviation. Azimuths - Stars 1. On 13th September at 01h 41m 51s GMT in DR Lat. 57° 30'N Long. 002° 00'E the star DUBHE was observed bearing 028°C. If the variation was 3°E find the compass error and the deviation.
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