Download - Celestial NAvigation Project
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Celestial Navigation Project
Coordinating Professor: Associate Professor Ph.D. Traian Atanasiu
Student: Nita Adrian
Group: XN 32
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1. DETERMINATION OF THE FIX UIN! UCCEI"E I!HT
1. On a! "# 2$$%# at the chrono&eter ti&e CT'11h3(&$2s in )P *at '3%° 23.(+N
*on ' $2"° 3(.,+ - the naigator ta/es a sight of Sun+s 0oer 0i&. D-T ' $"h3(& .
The setant a0titude is hs ' 4352(.67. The naigator has a height of e!e of 2$.2 &. The
inde correction is 8C'91.3+ and the chrono&eter correction is CC' 9 3&16s. Theesse0 TC is $%3.$° and the speed is 1% /nots. Deter&ine the intercept and ai&uth.
At the *AN ti&e ;*oca0 Apparent Noon
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3
53°33.4’
hc -
53°31.3’
8ntercep
t
9 2.1+
Co%&'tation For% )
t) $3(521.3+ sin t $.4,(31%6
hc 53°31.3’ sec hc 1.,%2$326
Dec N16531.%+ cos Dec $."4344"3
h8 3$.15 sin B $."$412$%
hch8 B 64°50.4’
Dec sa&e na&e as *at B 64.8°
Dec B SE64.8°
Bn 115.2°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP:
intercept: 9 2.1 N
ai&uth: 114.25
econ* #OP $ true 0atitude
Co%&'tation For%
Date a! $"
>od! Sun **
) *at 38° 28.3’
N
F @ $2"54".1$+
) *on 028°43.7’W
@F @ $2%5(3.6
er Pass 11h4,& ;F@F< @ $$151,.3+
9 ;F@F< @ 4&$4s @4&$4s
BT 11h4$&44s
@ F @ 2h d ;9< $.,+
GT 13h4$&44s ta. Dec N16532.6+
8C 9 1.3+ d corrn 9 $.4+
=s 68°54.6’ co&p. Dec 916533.2+
=a ,%544."+ BD 9 2$54,.(+Corrn 8 9 6.%+ true *at 93%52".,+
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EP2
FIX
ELon = - 028°43.7'
+ di.Lon = + 3.8'
!Lon = - 028°39.9'
"n
L#P
!L$% = 38 29.6'N
!Lon = 028 39.9' WIX:
4
Corrn 88 @ $.1+ true *at 3%52".,+N
=o 69°03.6’
"$5 89°59.10’
BD +20°56.4’ A ' 1%$5 BD is positie
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4’
!L$% = 38 29.6' N
ELon = 028 43.7' W5
2. On a! 11# 2$$%# at the chrono&eter ti&e CT'1$h4(&(4s in )P *at '1(° 12.6+S
*on ' $23° (%.3+ - the naigator ta/es a sight of Sun+s 0oer 0i&. D-T ' $%h4(& .
The setant a0titude is hs ' 3%546.4. The naigator has a height of e!e of 21.2 &. The
inde correction is 8C'91."+ and the chrono&eter correction is CC' @ 2&(3s. Theesse0 TC is 21(.$° and the speed is 1% /nots. Deter&ine the intercept and ai&uth.
At the sa&e date# in the )P: *at ' 1(°1,.1+ S# *on ' $2(°12.1+ -# at the
chrono&eter ti&e CT ' 13h12&2$s the naigator ta/es a sight of Sun+s 0oer 0i&.D-T ' 11h12& . The setant a0titude is hs ' 4,°4%.2+.
Deter&ine the fi of the esse0 using the to successie sights.
First #OP $ intercept and ai&uth
Co%&'tation For% 1
Date a! 11>od! Sun **
)*at 14° 12.7’S
) *on 023° 48.3’W
CT 1$h4(&(4s
CC @ 2&(3s
GT 1$h42&$2s
GT ;hrs< 1$h Ta. G=A 33$54(.4+ Ta. Dec N1%5$1.%+ d ' $.,+
diff. ?T 42&$2s incre&ent $135$$.4+ d. Corrn 9 $.4+
G=A 3(3544.$+ dec N1%5$2.3+
) *on @ $235(%.3+
*=A 32$5$,.6+
t) $3"543.3+
Co%&'tation For% (
) *at 14°
12.7’S
sin $.2(44$(6 cos $.","3"43
Dec N1%5$2.3+ sin Dec $.3$",432 cos Dec $."4$%("4
t) $3"543.3+ cos t $.6,62"46a @$. $6,$213 $.6$624(1
9$.6$624(1
sin hc $.,31232%
hc 39°08.5’
hs 38°57.5’
8C 9 1."+
ha
38°59.4’
Corrn 1 9 ,."+Corrn 2 @ $.1+
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ho 39°06.2’
hc -
39°08.5’
8ntercep
t
@ 2.3+
Co%&'tation For% )
t) $3"543.3+ sin t $.,(12"3(
hc 39°08.5’ sec hc 1.2%"3(4
Dec N1%5$2.3+ cos Dec $."4$%("4
sin B $.6%,2$%(B 51°49.9’
Dec contrar! na&e to B 51.8°
B NE51.8°
Bn 051.8°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @ contrar! to Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP1:
intercept: @ 2.3 N
ai&uth: $41.%°
econ* #OP $ intercept and ai&uth
Co%&'tation For% 1
Date a! 11
>od! Sun **
)*at 14° 16.1’S
) *on 024°12.1’W
CT 13h
12&
2$s
CC @ 2&(3s
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GT 13h$"&36s
GT ;hrs< 13h Ta. G=A $1454(.4+ Ta. Dec N1%5$3.6+ d ' $.,+
diff. ?T $"&36s incre&ent $$252(.3+ d. Corrn 9 $.1+
G=A $1%51%.%+ dec N1%5$3.%+
) *on @ $2(512.1+
*=A 34(5$,.6+t) $$4543.3+
Co%&'tation For% (
) *at 14°
16.1’S
sin $.2(,(,3( cos $.","1421
Dec N1%5$3.%+ sin Dec $.31$$,% cos Dec $."4$61(3
t) $$4543.3+ cos t $.""(6236
a @$. $6,(2$( $. "1,4242
9$."1,4242
sin hc $. %($1$(%
hc 57°09.1’
hs 56°58.2’
8C 9 1."+
ha
57°00.1’Corrn 1 9 6.(+
Corrn 2 @ $.1+
ho 57°07.4’
hc -
57°09.1’
8ntercep
t
@ 1.6+
Co%&'tation For% )
t) $$4543.3+ sin t $.1$24%""
hc 57°09.1’ sec hc 1.%(34"",
Dec N1%5$3.%+ cos Dec $."4$61(3
sin B $.16"%13
B 10°21.5’
Dec contrar! na&e to B 10.4°B NE10.4°
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EL$% = - 14°16.1'+ di.L$% = - 1.4'
!L$% = - 14°17.5'
ELon = - 024°12.1'
+ di.Lon = - 1.8'
!Lon = - 024°13.9'
!L$% = 14 17.5' S
!Lon = 024 13.9 WFIX:
8
Bn 010.4°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<contrar! to @ @
contrar! to Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP2:
intercept: @ 1.6 N
ai&uth: $1$.(°
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4’
"n2
L#P1
di. L$%
9
3. On a! 1$# 2$$%# at the *AN ti&e in )P *at '21° 1(.3 S *on ' $,(° 2".6 ) thenaigator ta/es a sight of Sun+s 0oer 0i&. The setant a0titude is =s ' 4$544.37 and
the ai&uth of the Sun is $$$°.$. The naigator has a height of e!e of 1,.3 &. The
inde correction is 8C ' @1.(+ and the chrono&eter correction is CC' 9 2&$3s. The
esse0 TC is $,4.$° and the speed is 1% /nots. Deter&ine the true 0atitude and the
corrected esti&ated position.
At the sa&e date# in the )P: *at ' 2$° (6.( S# *on ' $,4°2%.( )+ -# at the
chrono&eter ti&e CT ' 1$h4"&1(s the naigator ta/es a sight of Sun+s 0oer 0i&.
D-T ' 1(h4"& . The setant a0titude is hs ' (1°13.1+. Co&pute the intercept andai&uth and then deter&ine the fi of the esse0 using the to successie sights.
First #OP H true 0atitude
Co%&'tation For%
Date a! 1$
>od! Sun **
) *at 21°14.3 S F 9 $,$5$$.$+
) *on 064°29.7’E
@F 9 $,(52".6+
er Pass 11h4,& ;F@F< @ $$(52".6+
9 ;F@F< @16&4"s @16&4"s
BT 11h
3%&
$1s
@ F 9(h d ;9< $.,+
GT $6h3%&$1s ta. Dec N165((.4+
8C @ 1.(+ d corrn 9 $.(+
=s 50°55.3’ co&p. Dec 9165((."+
=a 4$543."+ BD @ 3%546."+
Corrn 8 9 %.3+ true *at @ 21513.$+
Corrn 88 @ $.1+ true *at 21513.$+S
=o 51°02.1’
"$5 89°59.10
’BD -38°57.9’ A ' $$$5 BD is negatie
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Correcte* esti%ate* &osition: *at ' 21513.$+S I )*on ' $,(°2".6+)
econ* #OP $ intercept and ai&uth
Co%&'tation For% 1
Date a! 1$
>od! Sun **)*at 20° 47.4’S
) *on 065° 28.4E
CT 1$h4"&1(s
CC 9 2&$3s
GT 11h$1&16s
GT ;hrs< 11h Ta. G=A 3(454(.1+ Ta. Dec N165(6.1+ d ' $.,+
diff. ?T $1&16s incre&ent $$$51".3+ d. Corrn 9 $.$+
G=A 3(,513.(+ dec N165(6.1+
) *on 9$,452%.(+*=A
051°41.8’
t- $415(1.%+
Co%&'tation For% (
) *at 20°
47.4’S
sin $.34("(3% cos $."3(%%6,
Dec N165(6.1+ sin Dec $.3$4((, cos Dec $."422$"3
t- $415(1.%+ cos t $.,16"%2(,
a 9$.1$%(1,1 $.4416633
9$.4416633
sin hc $.,,$1%"(
hc 41°18.9’
hs
41°13.1’
8C @ 1.(+
ha
41°11.7’
Corrn 1 9 %.$+
Corrn 2 @ $.1+
ho
41°20.4’
hc -
41°18.9’
8ntercep
t
9 1.4+
Co%&'tation For% )
t- $415(1.%+ sin t $.6%(6($3
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FIX
ELon = + 065°
+ di.Lon = - 1
!Lon = + 065°26
"n
L#P
i. Lon
!L$% = 20°47.4'S
!Lon = 065°26.7 EFIX:
11
hc 41°18.9’ sec hc 1.3313",
Dec N165(6.1+ cos Dec $."422$"3
sin B $.""(%,%3
B 84°11.6’
B 84.2°
Dec contrar! na&e to B NW84.2°
Bn 275.8°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar ! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
Second *OP:
intercept: 9 1.4 N
ai&uth: 264.%5
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1’
N
EL$% = 20°47.4' S
2’
2’1’
!&$n(o&%)d !L$%
EP2
ELon = 065°28.4 E
12
(. DETERMINATION OF THE FIX UIN! IMU#TANEOU I!HT
1. On June 2$# 2$$%# at the chrono&eter ti&e CT'21h3$&((s in )P *at '21°((.6+N
*on ' $32°2(.3+ - the fo00oing sights are ta/en and recorded:
ars hs ' 3%5(,." A0/aid: hs ' ,25$6.3+.
D-T ' 1"h3$& . The height of e!e aoe the see is =) ' 21.2 &. The inde
correction is 8C'9$.6+ and the chrono&eter correction is CC ' 9 2&$"s.
Deter&ine the fi of the esse0 using the to si&u0taneous sights.
#OP 1 + Mars
Co%&'tation For% 1
Date June 2$
>od! ars
)*at 21°44.7’N
) *on 032°2 4.3’W
CT 21h3$&((s
CC 9 2&$"s
GT 21h32&43s
GT ;hrs< 21h Ta. G=A $6%5$3.%+ Ta. Dec N1(5(".4+
diff. ?T 32&43s incre&ent $$%513.3+ d. Corrn @ $.3+ d ' $.,+
.corrn $.4+ dec N1(5(".2+ ' 1.$+
G=A $%,516.,+
) *on -032°2
4.3’*=A
053°53.3’
t- $43543.3+
Co%&'tation For% (
) *at 21°44.7’N
sin $.36$(6,3 cos $."2%%(1%
Dec N1(5(".2+ sin Dec $.2446%32 cos Dec $.",,63(1
t- $43543.3+ cos t $. 4%"3,$%
a 9$.$"(6,1, $.42"212(
9$.42"212(
sin hc $.,23"6(
hc 3%53,.(+
hs 3%5(,."+
8C 9 $.6+ha 3%5(6.,+
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13
TCorrn @ %.6+
ho 3%53%."+
hc @ 3%53,.(+
8ntercep
t
9 2.4+
Co%&'tation For% )
t- $43543.3+ sin t $.%$6%,"%
hc 3%53,.(+ sec hc 1.26",64%
Dec N1(5(".2+ cos Dec $.",,63(1
h8 (2.45 sin B $."""(2$%
hch8 B 88°03.0’
B 88.0°Dec sa&e na&e as *at B NW88.0°
Bn 272.0°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as
Dec hc h8
hc h8 sa&e na&e as Dec @
*OP 1:
intercept: 9 2.4 N
ai&uth: 262.$5
#OP ( + Al,ai*
Co%&'tation For% 1
Date June 2$
>od! A0/aid
)*at 21°44.7’N
) *on 032°2 4.3’W
CT 21h3$&((s
CC 9 2&$"s
GT 21
h
32
&
43
s
GT ;hrs< 21h !$*. , ϒ 22(52,.(+
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14
diff. ?T 32&43s in&)/)n%
ϒ
$$%51(.,+
, ϒ 2325(1.$+
S=A 153°01.4’
Ta. Dec N("51,.(+
G=AK 385°42.4’
) *on -
032°24.3’
*=A
353°18.1’
t) $$,5(1."+
Co%&'tation For% (
) *at 21°44.7’
N
sin $.36$(6,3 cos $."2%%(1%
Dec N("51,.(+ sin Dec $.646%3$6 cos Dec $.,42(411
t) $$,5(1."+ cos t $. ""316(
a 9$.2%$64%3 $.,$1%%61
9$.,$1%%61
sin hc $.%%2,(4(
hc ,1546.%+
hs ,25$6.3+8C 9 $.6+
ha ,25$%.$+
TCorrn @ %.1+
ho ,154"."+
hc @ ,1546.%+
8ntercep
t
9 2.1+
Co%&'tation For% )
t) $$,5(1."+ sin t $.11,,(1%
hc ,1546.%+ sec hc 2.126("(3
Dec N("51,.(+ cos Dec $.,42(411
h8 sin B $.1,1"$%%
B 09°19.0’
Dec B 09.3°
Dec sa&e na&e as *at B NE09.3°
Bn 009.3°
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EL$% = + 21°44.7'
+ di.L$% = + 2.4'
!L$% = + 21°47.1'
LOP1
!L$% = 21°47.1 N
!Lon = 032°26.9' WFIX:
15
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8
hc h8 sa&e na&e as Dec @
*OP 2:
intercept: 9 2.1 N
ai&uth: 009.3°
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+ di
!
"n1
LOP2
"n2
di.L$% = +2.4'
di.Lon = - 2.6'
16
2. On Ju0! 12# 2$$%# at the chrono&eter ti&e CT'$,h24&11s in )P*at '2%°(3.6+N I *on ' $31°12.6+ - the fo00oing sights are ta/en and recorded:
Po0aris @ hs ' 2"522."+
Dene @ hs ' 4$531."+.
D-T ' $(h2%& . The height of e!e aoe the see is =) ' 1(.4 &. The inde
correction is 8C'9$."+ and the chrono&eter correction is CC ' 9 3&$,s.
Deter&ine the fi of the esse0 using the to si&u0taneous sights.
#OP 1 $ Polaris H true 0atitude
Date Ju0! 12 hs 2"522."+>od! Po0aris 8C 9$."+
) *at 28°43.7’N ha 2"523.%+
) *on 031°12.7’
W
Corrn @ %.(+
CT $,h24&11s ho 2"514.(+
CC 93&$,s @15 15
?T $,h2%&16s ho@15 2%514.(+
?T ;hrs< $,h Ta.G=Aϓ $2$53$.4+ 9L$ $52".1+
diff. ?T 2%&16s 8ncr.G=A
ϓ
65$4.(+ 9L1 $.4+
G=Aϓ $26534."+ 9L2 $.3+
9DM *on -
031°12.7’
true *at 2%5(4.3+
*=Aϓ 34,523.2+
True *at ' 2%5(4.3+
#OP ( $ Dene- H intercept and ai&uth
Co%&'tation For% 1
Date Ju0! 12>od! Dene
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4’
4’
EP
FIX
ELon = 032 2
17
)*at 28°43.7’N
) *on 031°12.7’W
CT $,h24&11s
CC 93&$,s
GT $,h2%&16s
GT ;hrs< $,h !$*. , ϒ $2$53$.4+
diff. ?T 2%&16s in&)/)n%
ϒ
65$4.(+
, ϒ $26534."+
S=A
049°33.7’Ta. Dec N(451%.,+
G=AK 077°09.6’
) *on -
031°12.7’
*=A 045°56.9’
t- $(454,."+
Co%&'tation For% (
) *at 28°43.7’N
sin $.(%$,462 cos $.%6,"$%4
Dec N(451%.,+ sin Dec $.61$"222 cos Dec $.6$326$,
t) $(454,."+ cos t $.,"43$,6
a 9$.3(16$"% $.(2%6"%(
9$.(2%6"%(
sin hc $.66$4$%2
hc 4$52(.$+
hs 4$531."+8C 9 $."+
ha 4$532.%+
TCorrn @ 6.,+
ho 4$524.2+
hc @ 4$52(.$+
8ntercep
t
9 1.2+
Co%&'tation For% )
t) $4651%.,+ sin t $.61%6131hc 36521.1+ sec hc 1.4,%6"",
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3’ 2’
3’
2’
L$%
Lon
EL$% = 21 44.7' N
EL$% = + 28°43.7'
+ di.L$% = + 1.6' !L$% = + 28°45.3'
LOP1
EP
di.Lon = - 0.6'
i.L$% = + 1.6'
18
Dec N3%5(6.4+ cos Dec $.6$326$,
sin B $.6"2"("(
B 52°27.7’
B 52.5°
Dec sa&e na&e as *at B NW52.5°
Bn 304.5°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP 2:
intercept: 9 1.2 N
ai&uth: 3$(.4°
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2’ 1’
2’
1’
L$%
Lon
N
EL$% = 28 ' N
FIX
ELon = 031 12.7' W
+ di.Lon = - 0.6'
!Lon = - 031°14.3'
LOP2
!L$% = 28°45.3
!Lon = 031°14.
FIX:
"n2
19
3. On Ju0! 11# 2$$%# during the eening nautica0 ti0ight# at the chrono&eter ti&e
CT'21h2$&(,s in )P *at '1"°34.%+N I *on ' $26°3(.2+ - the fo00oing sights are
ta/en and recorded:
oon H the setant a0titude is hs ' ("5((.$+
Deneo0a H the setant a0titude is hs ' (6514.%+
ega H the setant a0titude is hs ' 3652,.%+
D-T ' 1"h2$& . The height of e!e aoe the see is =) ' 13., &. The inde
correction is 8C'91.2+ and the chrono&eter correction is CC ' @ 3&$(s.
Deter&ine the fi of the esse0 using the aoe three si&u0taneous sights.
#OP 1 + Moon
Co%&'tation For% 1
Date Ju0! 11
>od! oon
)*at 19°35.8’N
) *on 027°34.2’W
CT 21h2$&(,s
CC @ 3&$(s
GT 21h36&(2s
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20
GT ;hrs< 21h Ta. G=A $3$531.1+ Ta. Dec S1"51,.1+
diff. ?T 16&(2s incre&ent $$(513.(+ d. Corrn 9 3.$+ d '1$.2+
.corrn (.$+ dec S1"51".1+ ' 13.%+
G=A $3(5(%.4+
) *on -
027°34.2’
*=A
007°14.3’
t- 007°14.3
’
Co%&'tation For% (
) *at 19°35.8’N
sin $.3343",6 cos $."(2$6,"
Dec S1"51".1+ sin Dec $.33$%1,3 cos Dec $."(3,"41
t- 007°14.3’
cos t $.""2$3,
a @ $.11$"4(6 $.%%1"(%3
9$.%%1"(%3
sin hc $.66$""3,
hc 4$52,.,+
hs ("5((.$+
8C 9 1.4+
ha ("5(4.4+
Corrn 8 9 3,.(+
Corn 88 9 4.%+
ho 4$526.6+
hc @ 4$52,.,+
8ntercep
t
9 1.1+
Co%&'tation For% )t-
007°14.3’
sin t $.124"","
hc 4$52,.,+ sec hc 1.46$24$4
Dec S1"51".1+ cos Dec $."(3,"41
sin B $.1%,6$,"
B 10°45.6’
B 10.8°
Dec contrar! na&e to *at B SW10.8°
Bn 190.8°
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21/30
21
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8
hc h8 sa&e na&e as Dec @
*OP 1:
intercept: 9 1.1 N
ai&uth: 1"$.%°
#OP ( + Dene-ola
Co%&'tation For% 1
Date Ju0! 11
>od! Deneo0a
)*at 19°35.8’N
) *on 027°34.2’
WCT 21h2$&(,s
CC @ 3&$(s
GT 21h36&(2s
GT ;hrs< 21h !$*. , ϒ 2(45$%.3+
diff. ?T 16&(2s in&)/)n%
ϒ
$$(52,.2+
, ϒ 2("53(.4+
S=A
182°37.5’Ta. Dec N1(531.4+
G=AK
072°12.0’
) *on -
027°34.2’
*=A
044°37.8’
t- $((536.%+
Co%&'tation For% (
-
8/9/2019 Celestial NAvigation Project
22/30
22
) *at 19°35.8’
N
sin $.3343",6 cos $."(2$6,"
Dec N1(531.4+ sin Dec $.24$%$2( cos Dec $.",%$3%3
t) $((536.%+ cos t $.611,4%3
a 9$.$%(11%3 $. ,("$$%4
9$.,("$$%4sin hc $.63312,%
hc (65$%."+
hs (6514.%+
8C 9 1.4+
ha (6516.3+
TCorrn @ 6.(+
ho (65$"."+
hc @ (65$%."+
8ntercep
t
9 1.$+
Co%&'tation For% )
t- $((536.%+ sin t $.6$24246
hc (65$%."+ sec hc 2.(6$3,,2
Dec N1(531.4+ cos Dec $.",%$3%3
sin B $.""""4(4
B 89°27.2’
B 89.5°
Dec contrar! na&e to *at B NW89.5°
Bn 270.5°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP 2:
intercept: 9 1.$ N
ai&uth: 26$.4°
#OP ) + "ega
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23
Co%&'tation For% 1
Date Ju0! 11
>od! ega
)*at 19°35.8’N
) *on 027°34.2’W
CT 21h2$&(,s
CC @ 3&$(s
GT 21h36&(2s
GT ;hrs< 21h !$*. , ϒ 2(45$%.3+
diff. ?T 16&(2s in&)/)n%
ϒ
$$(52,.2+
, ϒ 2("53(.4+
S=A
080°41.1’
Ta. Dec N3%5(6.4+
G=AK 330°15.6’
) *on -
027°34.2’
*=A 302°41.4’
t) $4651%.,+
Co%&'tation For% (
) *at 19°35.8’N
sin $.3343",6 cos $."(2$6,"
Dec N3%5(6.4+ sin Dec $.,2,("$( cos Dec $."(2$6,"
t) $4651%.,+ cos t $.4($$"3(
a 9$.21$122% $. ,$,6$36
9$.3",4%$"
sin hc $.,$,6$36
hc 36521.1+
hs 3652,.%+8C 9 1.4+
ha 3652%.3+
TCorrn @ 6.%+
ho 3652$.4+
hc @ 36521.1+
8ntercep
t
@ $.,+
Co%&'tation For% )
t) $4651%.,+ sin t $.%(1,$4hc 36521.1+ sec hc 1.246"64(
-
8/9/2019 Celestial NAvigation Project
24/30
di.Lon = - 0.7'
24
Dec N3%5(6.4+ cos Dec $.66"(2"
sin B $.%241"4%
B 55°36.5’
B 55.6°
Dec sa&e na&e as *at B NE55.6°
Bn 055.6°
Na&e of Dec Sie of Dec Sie of hc Origin
;Eirst 0etter<
Sense
;Second 0etter<
contrar! to @ @contrar! to
Sa&e na&e as
&eridian ang0esa&e na&e as Dec
hc h8hc h8
sa&e na&e as Dec @
*OP 3:
intercept: @ 1.$ Nai&uth: $44.,°
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25/30
LOP3
EP
25
COMPA ERROR
1. On June 22# 2$$% at the chrono&eter ti&e CT'21h21&$1s in )P *at'13° (2.6+N I
*on ' $1"°1(.3+ - the errors of co&passes are chec/ed using A0tair star. The co&pass
earing is C>'$6,.,° and the g!ro earing is G!> ' $%$.%°. The chrono&eter
correction is CC '9 $2&13s. agnetic ariation is AG AM ' 9 (.2°. Deter&ine
deiation ;D)< and g!ro error correction ;G!)< using AC Ta-les.
Co%&'tation For%
Date June 22.2$$%
>od! A0tair
DM *at 13° 42.7’N
DM *ong 023°
37.2’WCT 21h21&$1s
CC 9 $2&
13s
?T 21h23&1(s
?T;hrs< 21h Ta. G=Aϓ 226°24.7’
diff. ?T 23&1(s 8ncr. G=Aϓ 5°49.5’
G=Aϓ 232°14.2’
9S=A 062°11.6’ Ta. Dec N 08°53.4’
,∗
2"(524.%+
DM *ong -019°14.3’
*=A 275°11.5’ *=A1%$5t)'3,$5@*=A
t) 084°48.5’
*at ' 13° (2.6+ N 1(5N A ' $.$2 S
Dec ' N$%°43.(+ N$"5 > ' .
t) ' $%(°(%.4+ %45 C '
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26
*at ' 13° (2.6+ N 1(5N A ' $.$2 S
Dec ' N$%°43.(+ N$"5 > ' $.1, N .
*at ' 13° (2.6+ N 1(5N A ' $.$2 S
Dec ' N$%°43.(+ N$"5 > ' $.1, N .
t) ' $%(°(%.4+ %45 C ' $.1( N
B'%2.35 B'N) %2.35 A ' $%2.35
Bn 082.3
°
Bn 082.3
°
@ C> 076.6°
@G!> $%$.%5
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27
C) 94.65 G!) 91.45
@ AG AM 9(.35
D) 91.(5
2. On a! "# 2$$% at sunrise in )P: *at 24° 21.6+NI *on ' $2653,.6+- the
naigator chec/s the co&pass errors sighting the Sun. Co&pass earing is
C> ' $,4."5 and G!ro >earing is G!> ' $,".,5. The chrono&eter ti&e is
CT'$6h(2&1"s .The chrono&eter correction is 9 $3&2(s and &agnetic ariation is
AG AM ' 9 3.(°. Deter&ine the co&passes errors using A%&lit'*e Ta-les.
Co%&'tation For%
Date
a! " ta.A 1%."5
Bn
070.8
°
>od!
Mising Sun 9corn. 9$.35
@ C>
065.9
°
) *at25° 21.7’N
A 1".25
C)
9(."5
) *ong
$2653,.6+- "$5 "$.$5
@AG AM
93.(5
CT
$6h$4&13s @ A 1".25
D)
9 1.45
CC
9 $3&2(s
B070.8°
GT
$6h$%&36s d=0.6↑B
NE70.8
°
Bn 070.8
°
GT;hrs<
$6h
Ta. dec
N 1652%.1+
Bn070.8° @G!> 069.6
°
diff. ?T$%&36s
diff. dec 9$.1+ G!) 9 1.25
co&p.dec
N 1652%.2+
2. On a! "# 2$$% at sunrise in )P: *at 24° 21.6+NI *on ' $2653,.6+- the
naigator chec/s the co&pass errors sighting the Sun. Co&pass earing is
C> ' $,4."5 and G!ro >earing is G!> ' $,".,5. agnetic ariation is
AG AM ' 9 3.(°. Deter&ine the co&passes errors using A%&lit'*e Ta-les.
Co%&'tation For% 1
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28
Date a! 6
>od! Sunsunrise
) *at 25° 21.7’N
) *on $2653,.6+- F B @ $3$Q$$.$+*T $4h1%& @F @ $2653,.6+
9diff. *on @ "&33s diff. *on @ $$2523.3+
BT ' -T $4h$% &26s diff. *on @ "&33s
@F B $2h
GT ;?T< $6h$% &26s dec N17°28.8’
Inter&olation /or #atit'*e
*at '3$5 $4h1$&
*at ' 2$5 $4h2,&
1$5R.RR..1,&
45R.RR....diff.
diff. ' @%&
*at ' 2$5 $4h2,&
*T ' $4h1%&
Co%&'tation For% (
*at 25° N
"$5 89.10°Bn
070.8°
Bn 070.8°
dec 17°N @A 19.2°@ C>
065.9
°
@G!> 069.6
°
ta.A 18.9
°
B 70.8°C)
9(."5 G!) 9 1.25
9corn
.
+
0.3°
B NE70.8
° @AG AM
93.(5
A 19.2
°
Bn 070.8°
D)
9 1.45
3. On Octoer 2(# 2$$% at sunset in )P: *at 31°12.6+NI *on ' $36524.3+- the
naigator chec/s the co&pass errors sighting the Sun. The co&pass earing is
C> ' 2(".65 and G!ro >earing is G!> ' 24(."5. agnetic ariation is
AG AM ' 9 (.,°. Deter&ine the co&passes errors using A%&lit'*e Ta-les.
Co%&'tation For% 1
Date Octoer 2(>od! Sunsunset
-
8/9/2019 Celestial NAvigation Project
29/30
29
) *at 31°12.7’N
.) *on $36524.3+- F B @ $3$Q$$.$+
*T 16h1%& @F @ $36524.3+
9diff. *on 92"&(1s diff. *on 9 $$6524.3+
BT ' -T 16h(6 &(1s diff. *on 92"&(1s
@F B @$2h
GT ;?T< 1"h(6 &(1s dec S12°05.4’
Inter&olation /or #atit'*e
*at '345 16h13&
*at '3$5 16h1"&
1$5R.RR.@$,
&
15R.RR....diff.
diff. ' @1&
*at ' 3$5 16h1"&
*T ' 16h1%&
Co%&'tation For% (
*at 31°
N
"$5 89.10°Bn
256.4
°
Bn 256.4
°
dec 12°S @A 13.6°
@ C>
2(".65 @G!> 24(."5
ta.A 14.0
°
B 76.4°C)
9,.65 G!) 9 1.45
9corn
.
-
0.4°
B SW76.
4° @AG AM 9(.,5
A 13.6
°
Bn 256.4°D)
9 2.15
(. On Septe&er 21# 2$$% at CT ' 1"h36&34s in the esti&ated position *at ' 125(4.2+N I
*on ' $1,526.%7- the naigator ta/es to the Po0aris a co&pass earing C> ' 34(.15
and a g!ro earing G!> ' 34%."5. The &agnetic ariation is AG AM '93.45
The chrono&eter correction is and CC ' @2&13s.
Eind the co&passes errors using T0e Polaris Ta-les.
Co%&'tation For%
Date Septe&er 1" Bn 3,$.,5
>od! Po0aris @ C> 34(.15) *at 125(4.2+N C) 9,.45
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30
) *on $1,526.%+- @AG AM 93.45
CT 1"h36&34s D) 9 3.$5
CC @2&13s
GT 1"h34&22s
GT;hrs
<
1"h Ta.G=Aϓ 2%,5$1.(+ Bn 3,$.,5
diff. ?T 34&22s 8ncr.G=A
ϓ
%542.$+ @G!> 34%."5
G=Aϓ 2"(543.(+ 91.65
9DM *on @$1,526.%+
*=Aϓ 26%524.,+ Bn ' $$$.,5