cm sailing- lesson 1 for moodle (2).pptx
TRANSCRIPT
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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
P
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
P
D.Long
A
B
Equator
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North 2leEated %ole
PB = 90 -
Lat B
P
PA = 90 +
Lat A
D.Long
A
B
Equator
iii
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South 2leEated %ole
PB = 90 -Lat B
P
PA = 90 -Lat A
D.Long
A
B
Equator
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South 2leEated %ole
PB = 90 +Lat B
P
PA = 90 -Lat A
D.Long
A
B
Equator
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South 2leEated %ole
PB = 90 -Lat B
P
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
7
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