celestial navigation project

8/9/2019 Celestial NAvigation Project

1/30

Celestial Navigation Project

Coordinating Professor: Associate Professor Ph.D. Traian Atanasiu

Student: Nita Adrian

Group: XN 32


2/30

2

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


3/30

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".,+


4/30

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


5/30

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+


6/30

6

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°


;Eirst 0etter<

Sense

;Second 0etter<

contrar! to @ @ contrar! to Sa&e na&e as


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


7/30

7

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°


8/30

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°


;Eirst 0etter<

Sense

;Second 0etter<contrar! to @ @

contrar! to Sa&e na&e as


hc h8hc h8

sa&e na&e as Dec @

*OP2:

intercept: @ 1.6 N

ai&uth: $1$.(°


9/30

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


10/30

10

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


11/30

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°


;Eirst 0etter<

Sense

;Second 0etter<

contrar ! to @ @contrar! to

Sa&e na&e as


hc h8hc h8

sa&e na&e as Dec @

Second *OP:

intercept: 9 1.4 N

ai&uth: 264.%5


12/30

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.,+


13/30

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°


;Eirst 0etter<

Sense

;Second 0etter<


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,.(+


14/30

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°


15/30

EL$% = + 21°44.7'

+ di.L$% = + 2.4'

!L$% = + 21°47.1'

LOP1

!L$% = 21°47.1 N

!Lon = 032°26.9' WFIX:

15


;Eirst 0etter<

Sense

;Second 0etter<


Sa&e na&e as


hc h8


*OP 2:

intercept: 9 2.1 N

ai&uth: 009.3°


16/30

+ 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


17/30

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"",


18/30

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°


;Eirst 0etter<

Sense

;Second 0etter<


Sa&e na&e as


hc h8hc h8

sa&e na&e as Dec @

*OP 2:

intercept: 9 1.2 N

ai&uth: 3$(.4°


19/30

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


20/30

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°


21/30

21


;Eirst 0etter<

Sense

;Second 0etter<


Sa&e na&e as


hc h8


*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% (


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°


;Eirst 0etter<

Sense

;Second 0etter<


Sa&e na&e as


hc h8hc h8

sa&e na&e as Dec @

*OP 2:

intercept: 9 1.$ N

ai&uth: 26$.4°

#OP ) + "ega


23/30

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(


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°


;Eirst 0etter<

Sense

;Second 0etter<


Sa&e na&e as


hc h8hc h8

sa&e na&e as Dec @

*OP 3:

intercept: @ 1.$ Nai&uth: $44.,°


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 '


26/30

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


27/30

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


28/30

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


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


30/30

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

celestial navigation project

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