Nautical Calculations ( Gyro Error Calculation)

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COMPASS ERROR CALCULATION FORM

DATE : 29/01/11 OBSERVED BODY: SUN

UTC : 12h 55m 37s LAT : 25° 25´.8 N 244° VAR: 1°.6 E LONG : 056° 26´.5 E 244° 244°.0 243° 243°.0 NAUTICAL ALMANAC 12h : 356° 44´.2

55m37s : 13° 54´.3 GHA CALCULATION DEC: S 17° 56´.8 d: -0.7

υ corr. : 01´.3 υ : 1.4 d corr : - 00° 00´.7

GHA : 010° 39´.7 DEC: S 17° 56´.1

LONG. : 056° 26´.5

SHA : 000° 00´.0 LHA CALCULATION

LHA : 067° 06´.2 OBSERVATION REMARKS

GYRO #2

CENTRAL REPEATER NORIE'S NAUTICAL TABLES

A : 0.20 S

B : 0.35 S

A±B : 0.55 S C : S 063°.5 W 243°.5

COMPASS ERROR CALCULATION

GYRO MAGNETIC _{OFFICER'S SIGNATURE}

: 243°.5 : 243°.5 : 244°.0 : 243°.0 ERROR : 0°.5 W ERROR : 0°.5 E DEV : 1°.1 W Zλ : ZG : AZ_G: ZM : AZ_M: AZ_λ : AZ_λ AZ_λ AZ_G AZ_M

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COMPASS ERROR CALCULATION FORM

DATE : 23/08/05 OBSERVED BODY: CAPELLA

UTC : 00h 52m 30s LAT : 33° 20´.9 N 042° VAR: 3°.7 W LONG : 009° 02´.7 W 042° 043°.7 048° 049°.7 NAUTICAL ALMANAC 0h : 331° 23´.2

52m30s : 13° 09´.7 GHA CALCULATION DEC: N 46° 00´.2 d: 0.0

υ corr. : 00´.0 υ : 0.0 d corr : + 00° 00´.0

GHA : 344° 32´.9 DEC: N 46° 00´.2

LONG. : 009° 02´.7

SHA : 280° 43´.7 LHA CALCULATION

LHA : 256° 13´.9 OBSERVATION REMARKS

GYRO #2

STBD REPEATER NORIE'S NAUTICAL TABLES

A : 0.16 N

B : 1.07 N

A±B : 1.23 N C : N 044°.3 E 044°.3

COMPASS ERROR CALCULATION

GYRO MAGNETIC _{OFFICER'S SIGNATURE}

: 044°.3 : 044°.3 : 043°.7 : 049°.7 ERROR : 0°.6 E ERROR : 5°.4 W DEV : 1°.7 W Zλ : ZG : AZ_G: ZM : AZ_M: AZ_λ : AZ_λ AZ_λ AZ_G AZ_M

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SIGHT REDUCTION CALCULATIONS - FOR L.O.P.

DATE: 5/9/2005 SEXTANT INDEX ERROR: 0´.1 HEIGHT OF EYE: 22.0 m

DR POSITION LAT: 25° 45´.0 N LONG: 057° 56´.0 W

+ OBSERVATION 1 + OBSERVATION 2 + OBSERVATION 3

- NAME: SUN - NAME: 0 - NAME: 0

UTC: 13:44:11 UTC: 0:00:00 UTC: 0:00:00

ALTITUDE: 77° 53´.4 ALTITUDE: 00° 00´.0 ALTITUDE: 00° 00´.0 SHA: 000° 00´.0 SHA: 000° 00´.0 SHA: 000° 00´.0 DEC: N 17° 28´.2 DEC: 0 00° 00´.0 DEC: 0 00° 00´.0

d: + 0.7 υ: 0.0 d: + 0.0 υ: 0.0 d: + 0.0 υ: 0.0 * NAUTICAL ALMANAC * * NAUTICAL ALMANAC * * NAUTICAL ALMANAC *

G H A 13h 015° 53´.9 G H A 00h 000° 00´.0 G H A 00h 000° 00´.0 44m 11s 11° 02´.8 00m 00s 00° 00´.0 00m 00s 00° 00´.0

υ corr. 00´.0 υ corr. 00´.0 υ corr. 00´.0

GHA: 026° 56´.7 GHA: 000° 00´.0 GHA: 000° 00´.0

LH A SHA: 000° 00´.0 LH A SHA: 000° 00´.0 LH A SHA: 000° 00´.0

aLONG: 000° 00´.0 W aLONG: 000° 00´.0 W aLONG: 000° 00´.0 W

LHA: 00´.0 LHA: 00´.0 LHA: 00´.0

D E C DEC: 17° 28´.2 N D E C DEC: 00° 00´.0 0 D E C DEC: 00° 00´.0 0

d corr: 00° 00´.5 + d corr: 00° 00´.0 + d corr: 00° 00´.0 + DEC: 17° 28´.7 N DEC: 00° 00´.0 0 DEC: 00° 00´.0 0

T R U E A LT IT U D E ALTITUDE: 77° 53´.4 T R U E A LT IT U D E ALTITUDE: 00° 00´.0 T R U E A LT IT U D E ALTITUDE: 00° 00´.0 INDEX E.: 00´.1 INDEX E.: 00´.1 INDEX E.: 00´.1

77° 53´.5 00° 00´.1 00° 00´.1

DIP: -08´.3 DIP: -08´.3 DIP: -08´.3

OBS.ALT.: 77° 45´.2 OBS.ALT.: 00° 51´.8 OBS.ALT.: 00° 51´.8

CORR1: 00´.0 CORR1: 00´.0 CORR1: 00´.0

CORR2: 00´.0 CORR2: 00´.0 CORR2: 00´.0

CORR3: 00´.0 CORR3: 00´.0 CORR3: 00´.0

77° 45´.2 00° 51´.8 00° 51´.8

* H.O. 229 * * H.O. 229 * * H.O. 229 *

ENTERING ARGUMENTS ENTERING ARGUMENTS ENTERING ARGUMENTS

aLAT: 026° N aLAT: 026° N aLAT: 026° N

LHA: LHA: LHA:

DEC: 017° DEC: 000° DEC: 000°

Hc: 59° 52´.4 Hc: 28° 26´.6 Hc: 28° 26´.6

d: 22´.4 d: -30´.1 d: -30´.1

Z: 079.8° Z: 074.7° Z: 074.7°

DSD: 00´.0 DSD: 00´.0 DSD: 00´.0

Hc: 59° 52´.4 Hc: 28° 26´.6 Hc: 28° 26´.6

d corr.: 10´.7 d corr.: 00´.0 d corr.: 00´.0

DSD corr.: 00´.0 DSD corr.: 00´.0 DSD corr.: 00´.0

60° 03´.1 28° 26´.6 28° 26´.6 Z n Z: 079.8° Z n Z: 074.7° Z n Z: 074.7° Zn: 280.2° Zn: 285.3° Zn: 285.3°

* INTERCEPT * * INTERCEPT * * INTERCEPT *

D H 77° 45´.2 D H 00° 51´.8 D H 00° 51´.8 60° 03´.1 28° 26´.6 28° 26´.6 DH: 42´.1 DH: -34´.8 DH: -34´.8

TOWARDS AWAY AWAY

-031° 058°- 058° -H_T: H_T: H_T: H_λ: H_λ: H_λ: -031° 058°- 058° -R E S P O N D E N T S R E S P O N D E N T S R E S P O N D E N T S HA HA HA H_A: H_A: H_A: H_λ: H_λ: H_λ: H_A: H_A: H_A:

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ADMIRALTY TIDE TABLES CALCULATION FORM

STANDARD PORT : LISBOA

HIGH WATER LOW WATER HEIGHT DIFFERENCES DATE & TIME HEIGHT DATE & TIME HEIGHT

1 6/7/2000 4:22 3.5 6/7/2000 9:48 0.7

6/7/2000 16:39 3.6 6/7/2000 22:19 0.7 SEASONAL CHANGE: 0.0

2

SECONDARY PORT: PORTIMAO

TIME DIFFERENCES HEIGHT DIFFERENCES HIGH WATER LOW WATER

- - -

-+ - Y 0.0 0.0 0.0 0.0

X 0.0 0.0 0.0 0.0 DATE: 6/7/2000

PORT NAME

TIME DIFFERENCES HEIGHT DIFFERENCES

### ###

STANDARD LISBOA 0.0 0.0 0.0 0.0

SECONDARY PORTIMAO + +

DATE / TIME HEIGHT

HW LW HW LW

LISBOA 6/7/2000 4:22 6/7/2000 9:48 3.5 0.7 6/7/2000 16:39 6/7/2000 22:19 3.6 0.7

Seasonal Change Standard Port 0.0 0.0

3.5 0.7 3.6 0.7 Interpolated Differences + 0:00 + 0:00 Err:502 Err:502_{Err:502 Err:502}

Seasonal Change Secondary Port 0.0

PORTIMAO DATE / TIME HEIGHT

HW LW HW LW 6/7/2000 4:22 6/7/2000 9:48 Err:502 Err:502 6/7/2000 16:39 6/7/2000 22:19 Err:502 Err:502 + - Y 0.0 0.0 0.0 0.0 X 0.0 0.0 0.0 0.0 DATE: 12/30/1899 PORT NAME

TIME DIFFERENCES HEIGHT DIFFERENCES

### ###

STANDARD LISBOA 0.0 0.0 0.0 0.0

SECONDARY PORTIMAO + + 0.0 0.0 0.0 0.0

DATE / TIME HEIGHT

HW LW HW LW

LISBOA

Seasonal Change Standard Port 0.0 0.0

0.0 0.0 0.0 0.0 Err:502 Err:502 MHHW MHWS MLHW MHWN MHLW MLWN MLLW MLWS MHHW MHWS MHWNMLHW MHLW MLWN MLWSMLLW MHW HHW MLW LLW MHHW MHWS MHWNMLHW MHLW MLWN MLWSMLLW Standard Port Corrected Heights MHW HHW MLW LLW MHHW MHWS MHWNMLHW MHLW MLWN MLWSMLLW Standard Port Corrected Heights

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Interpolated Differences + 0:00 + 0:00

Err:502 Err:502

Seasonal Change Secondary Port 0.0

PORTIMAO DATE / TIME HEIGHT

HW LW HW LW

12/30/1899 0:00 12/30/1899 0:00 Err:502 Err:502 12/30/1899 0:00 12/30/1899 0:00 Err:502 Err:502

(6)

SIMPLIFIED HARMONIC METHOD OF TIDAL PREDICTION

USING ADMIRALTY TIDE TABLES (PART III / TABLE VII)

-PORT PUNTA ARENAS ML HARMONIC CONSTANTS (PART III) S.W. CORRECTIONS

A.T.T. No. 9881 1/4 diurnal 1/6 diurnal

DATE 6/18/2009 m g° H.m g° H.m g° H.m g° H.m

TIME (HH:MM) 12: 00 1.16 129 0.58 161 0.12 336 0.12 336 0.03 175 0.085 000 0.000

TIME ZONE 4:00 Seasonal Correction 0.10 (For month June)

TIDAL ANGLES & FACTORS (TABLE VII) NOTICE!

COMPLETE ONLY THE HIGHLIGHTED CELLS

A F A F A F A F

6/18/2009 233 1.09 347 1.31 057 0.95 165 1.39

6/19/2009 260 1.11 347 1.31 054 0.96 192 1.40 Tidal height at requested time: 0.90 m

Z₀ M₂ S₂ K₁ O₁ f₄ F₄ f₆ F₆ M₂ S₂ K₁ O₁

0:

0

0 0:

4

2 1:

2

4

2 :0

6 2:

4

8

3 :3

0 4:

1

2

4 :5

4

5 :3

6

6 :1

8

7 :0

0 7:

4

2

8 :2

4 9:

0

6

9 :4

8

10 :3

0

1

1 :1

2

11 :5

4

1

2 :3

6

1

3 :1

8

1

4 :0

0

1

4 :4

2

15 :2

4

1

6 :0

6

16 :4

8

1

7 :3

0

18 :1

2

1

8 :5

4

1

9 :3

6

20 :1

8

2

1 :0

0

21 :4

2

2 :2

4

23 :0

6

2

3 :4

8

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.00

DAILY TIDAL PREDICTION CHART

TIME (Hours)

H

E

IG

H

T

(

m

)

(7)

0:

0

0 0:

4

2 1:

2

4

2 :0

6 2:

4

8

3 :3

0 4:

1

2

4 :5

4

5 :3

6

6 :1

8

7 :0

0 7:

4

2

8 :2

4 9:

0

6

9 :4

8

10 :3

0

1

1 :1

2

11 :5

4

1

2 :3

6

1

3 :1

8

1

4 :0

0

1

4 :4

2

15 :2

4

1

6 :0

6

16 :4

8

1

7 :3

0

18 :1

2

1

8 :5

4

1

9 :3

6

20 :1

8

2

1 :0

0

21 :4

2

2 :2

4

23 :0

6

2

3 :4

8

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.00

DAILY TIDAL PREDICTION CHART

TIME (Hours)

H

E

IG

H

T

(

m

)

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SIMPLIFIED HARMONIC METHOD OF TIDAL STREAM PREDICTION

USING ADMIRALTY TIDE TABLES (PART IIIa / TABLE VII)

-PLACE PUNTA ARENAS

DIR. HARMONIC CONSTANTS (PART IIIa) S.W. CORRECTIONS

A.T.T. No. 9881 1/4 diurnal 1/6 diurnal

DATE 7/21/2009 (+) (-) kn g° H.kn g° H.kn g° H.kn g° H.kn

TIME (HH:MM) 01: 00 045° 225° 1.22 355 0.50 084 0.21 068 0.30 024 0.22 000 0.000 000 0.000

TIME ZONE - 4:00 Seasonal Correction 0.00 (For month July)

TIDAL ANGLES & FACTORS (TABLE VII) 1 COMPLETE ONLY THE HIGHLIGHTED CELLS 2

A F A F A F A F

7/21/2009 322 1.19 019 0.90 157 1.29 185 1.42

7/22/2009 350 1.21 019 0.91 156 1.28 214 1.42 Tidal stream rate at requested time: 0.83 knots Tidal stream direction at requested time: 045° Z₀

M₂ S₂ K₁ O₁

f₄ F₄ f₆ F₆

M₂ S₂ K₁ O₁ _{FOR ROTARY CURRENTS TWO PREDICTION CHARTS MUST BE} PREPARED

0:

0

0 :4

2 1:

2

4

2 :0

6

2 :4

8 3:

3

0 4:

1

2 4:

5

4 5:

3

6

6 :1

8

7 :0

0 7:

4

2

8 :2

4

9 :0

6 9:

4

8

10 :3

0

1

1 :1

2

11 :5

4

1

2 :3

6

1

3 :1

8

1

4 :0

0

14 :4

2

1

5 :2

4

16 :0

6

16 :4

8

1

7 :3

0

18 :1

2

18 :5

4

1

9 :3

6

2

0 :1

8

21 :0

0

2

1 :4

2

22 :2

4

23 :0

6

2

3 :4

8

0.00

0.50

1.00

1.50

2.00

2.50

DAILY TIDAL STREAM PREDICTION CHART

TIME (Hours)

R

A

T

E

(

kn

)

(9)

0:

0

0 :4

2 1:

2

4

2 :0

6

2 :4

8 3:

3

0 4:

1

2 4:

5

4 5:

3

6

6 :1

8

7 :0

0 7:

4

2

8 :2

4

9 :0

6 9:

4

8

10 :3

0

1

1 :1

2

11 :5

4

1

2 :3

6

1

3 :1

8

1

4 :0

0

14 :4

2

1

5 :2

4

16 :0

6

16 :4

8

1

7 :3

0

18 :1

2

18 :5

4

1

9 :3

6

2

0 :1

8

21 :0

0

2

1 :4

2

22 :2

4

23 :0

6

2

3 :4

8

0.00

0.50

1.00

1.50

2.00

2.50

DAILY TIDAL STREAM PREDICTION CHART

TIME (Hours)

R

A

T

E

(

kn

)

(10)

KRISTEN NAVIGATION INC.

M/T "ASTRO POLARIS"

VESSEL'S SQUAT CALCULATION SHEET

VALUES Disp. Displacement = 145,508 M.T. D Draft = 13.85 mtrs L L.O.A. = 274.07 mtrs B Beam= 48.00 mtrs V Vessel's Speed FORMULAE CB calculation : Disp. CB= = 0.79860930 L x B x D Squat calculation :

VESSEL'S SQUAT

Order Condition Speed Open Waters (m) Confined Waters (m)

NAV. FULL Laden_Ballast 15.6 Knots_{17.3 Knots} 1.943_2.390 3.887_4.780 FULL Laden_Ballast 12.1 Knots_{14.0 Knots} 1.169_1.565 2.338_3.131 HALF Laden_Ballast _{11.3 Knots}9.8 Knots 0.767_1.020 1.534_2.039 SLOW Laden_Ballast 7.0 Knots_{8.0 Knots} 0.391_0.511 0.783_1.022 D. SLOW Laden_Ballast 5.5 Knots_{6.3 Knots} 0.242_0.317 0.483_0.634

SQUAT max. Confined waters = 2 x CB x ( V2_{/ 100 )} SQUAT max. Open waters = CB x ( V2_{/ 100 )}

5.5 6.3 7.0 8.0 9.8 11.3 12.1 14.0 15.6 17.3 0.000 1.000 2.000 3.000 4.000 5.000 6.000

ASTRO POLARIS - SQUAT EFFECT GRAPH

Column H Column I S Q U A T ( M E T E R S )