cm sailing- lesson 1 for moodle (2).pptx

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    SAILING- MODULE 1Capt. Nowshad Jobair

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    AIM

    Familiarization and working with Rhumb LineSailing and Great Circle Sailing

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    OBJECTIVES

    You will be able to  Calculate d.lat! d.long! departure!

    course and distance using parallel!plane and "ercator sailing methods.

      State the principles o# GC Sailing.

      Calculate GC distance and $nitialcourse.

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      SAILING

    %arallel Sailing  Sailing along a parallel o# Latitude.  Course to be due East &'(') *+ or due West 

    &,-') *+  Causes change in D’long but no change in

    D’lat  Departre is istance along a parallel o#

    Latitude! !easre" #n NM

    ep / 0Long 1 Cos Lat

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    21ample 3 %arallel Sailing &Ch , %g ,+

     A ship leaves position Lat. 37º 28′ N

    Long. 47º 28′ E and steers 090º T at 12 knotsor 8 ho!rs. "ind the position rea#hed.

      SAILING

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    eparture %osition Lat. 4-5 ,6′ N Long. 7-5 ,6′ 2

    istance / Speed 1 *ime / 9, 1 6 / (: miles

    eparture! istance in NM

    0Lat / Nil as course is 2;S*

    0long /  /

    / 9,'.(</ ,5 '9′.' 2

       

    SAILING

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    $nitial Lat 4-5 ,6=.' N Long. 7-5 ,6′.' 2  0Lat ' 0Long ,5 '9′.' 2

    Final Lat 4-5 ,6=.' N Long. 7(5 ,(′.' 2

      SAILING

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    21ample 3 %arallel Sailing &Ch , %g ,+

    "ind the #o!rse and distan#e ro$

    Lat. %3º 42′ N Long. 178º 27′ &

    to Lat. %3º 42′ N Long. 179º %3′ E.

      SAILING

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    $nitial Lat

    ;rr. Lat

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    ?essel proceeding along same latitude in >esterl@direction! hence course is ,-') &*+

    istance / ep / 0long 1 Cos Lat

      / 9''′.' 1 Cos

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    %lane Sailing &Ch , page 7+

    Sin Co / Cos Co / *an Co /

    epurture / 0long 1 Cos "ean Lat

       

    ;lwa@s drawcourse #romNAS Line      .      0      L

        a     t

    ep

      SAILING

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    21ample 3 %lane Sailing &Ch , pg 7+"ind #o!rse and distan#e ro$

    Lat. 27º 28= N Long 47º 02= &

    to Lat. 24º %3= N Long. 49º 1'= &.

    ;lwa@s drawcourse #romNAS Line

    .       0       L       

     a     

     t      

    ep

      SAILING

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    From Lat ,-5 ,6=.' N Long 7-5 ',=.' >

    Lat,75 0Lat ,5 4

    1 :' 1 :' .

      1++.& S 1/0.& W

     

    B 0lat / 95 9-=.< S

    "ean Lat / $nitial Lat B 0lat/ ,-5 ,6=.' N 95 9-=.< S

    / $2 1&.+ N

     

    SAILING

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    ep / 0Long 1 Cos "ean Lat

    / 947=.' 1 Cos ,:5 9'=.< / 9,'=.4

    *an Course / epA 0Lat / 9,'=.4A 9

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    21ample 3 "ercator Sailing &Ch , %g 9,+

     "ind () *er#ator +ailing the Tr!e ,o!rse and

    distan#e ro$-A in Lat. 38º 41′ N Long. 32º %4′ & to

    -/ in Lat. 49º %0′ N Long. %º 14′ &

      SAILING

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      Lat. "% Long.

      465 79=.' N   ,  7(5

    0Lat  995 '(=.' N   "% (4

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    *an Course / 0Long A "%

    / 9::'=.' A (4

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    Rhumb Line Sailing1. arallel +ailing2. lane +ailing

    3. *er#ator +ailing

    egrees must be conEerted to minutes

    Great Circle Sailing>ork with degrees! Not "inutes

      SAILING

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    %roperties o# a Spherical *riangle

      *he shortest distance between two places on theearth0s sur#ace is the Great Circle *rack.

     

    Great circles appear as straight lines on GnomonicCharts.  *he plane o# the G.C. passes through the earths

    centre.

      *he euator is a great circle.  Great circles cross the euator at two points 96' o#

    longitude apart.

      SAILING

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    North 2leEated %ole

    PB = 90  -

    Lat B

    PA = 90  -

    Lat A

    D.Long

    A

    B

    Equator

    ii

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    North 2leEated %ole

    PB = 90  +Lat B

    PA = 90  -Lat A

    D.Long

    A

    B

    Equator

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    North 2leEated %ole

    PB = 90  -

    Lat B

    PA = 90  +

    Lat A

    D.Long

    A

    B

    Equator

    iii

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    South 2leEated %ole

    PB = 90  -Lat B

    PA = 90  -Lat A

    D.Long

    A

    B

    Equator

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    South 2leEated %ole

    PB = 90  +Lat B

    PA = 90  -Lat A

    D.Long

    A

    B

    Equator

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    South 2leEated %ole

    PB = 90  -Lat B

    PA = 90 

    +

    Lat AD.Long

    A

    B

    Equator

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    Choose @our pre#erred 2leEated %ole

    9. Sta@ in S;"2 hemisphere.

    ,. >ork out ('3 or (' Latitudes! depend oneparture and Land#all positions.

    4. $# two positions are in di##erent hemisphere!one leg is ('Lat and the other is ('Lat

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    Great Circle Sailing &Ch 4 pg -+

    "ind the great #ir#le distan#e

    ro$ &ellington N A 41º 38´ S 175º 28´ E

     

    to ana$a /07º 24´ N 079º 55´ W

      SAILING

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    Cal*late D’long 4#rst5

    Long ; / 9-

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    A 41º 38´ S 175º 28´ E

    B 07º 24´ N 079º 55´ WB

    Equator

      41  38´S175

     

    28

    ´E

      SAILING

    24´N79  55

    ´

    A

    P

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    Cos AB 8 (Cos 6 9 Sin 6A 9 Sin 6B)

    : (Cos 6A 9 Cos 6B) 

    Cos ;I / &Cos 9'7) 4-H 1 Sin 76° ,,0 1 Sin (-° ,70 + &Cos 76° ,,0 1 Cos (-° ,70+

      / '.96-'7 3 '.'6

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    In#t#al Corse ;< Cos#ne =or!la

     *his method is used to obtain the Ealue o# INTE?IO?angles within the Great Circle triangle.

     

    Cos Angle re@#re" 8

    Cos Oppos#te s#"e (Cos A"a*ent s#"e 9 Cos A"a*ent s#"e)

      S#n A"a*ent s#"e 9 S#n A"a*ent s#"e

     

    Kr eEen simpler Cos Angle 8 Cos Opp (Cos A"s)

      S#n A"s

     

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    *here#ore to obtain the $nitial Course we reuire;ngle ;

     

    Cos ; / Cos %I 3 & Cos %; 1 Cos ;I+

      &Sin %; 1 Sin ;I+

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    SAILING

    >e haEe

    PA  8  76 ,,0PB 8 (- ,70 AB 8  9'

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    SAILING

    To 4#n" In#t#al *orse5

    Cos ; / Cos %I 3 & Cos %; 1 Cos ;I+  &Sin %; 1 Sin ;I+

    Cos ; / Cos (-,70 3 & Cos 76,,0 1 Cos 9'

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    SAILING

    To Na!e In#t#al *orse5

    In#t#al Corse 8 S 3+.3E

    8 13& 3+.3

    8 ,0.$ (T)

    F r o m  t h e  > o r k i n  g  D e m i s  p h e r e 

     . i r e c t i o n  o # 

     . 0 L o n g

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    SAILING

    $nitial course b@ ;IC "ethod

    ;/ *an Lat ; / *an 79546=.' / '.,4969 S  *an 0long *an 9'754-=.'

    Named opposite to latitude ; e1cept when 0long &%+ is

    between ('5 and ,-'5

    I/ *an Lat I / *an -5,7=.' / '.947,, N  Sin 0long Sin 9'754-=.'

    ;lwa@s named same as Lat I

    C / &; A I+ / '.'(-

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    SAILING

    *an Course / 9 / 94.-'((,  &C 1 Cos Lat ;+

    Course / S 6

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    ?EVIEW

    You are now able to  Calculate d.lat! d.long! departure!

    course and distance using parallel!plane and "ercator sailing methods.

      State the principles o# GC Sailing.

      Calculate GC distance and $nitialCourse.

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    2N