Nautical Calculations ( Gyro Error Calculation)

COMPASS ERROR CALCULATION FORM DATE : UTC : LAT : LONG :

12h

29/01/11 55m

25° 056°

25´.8 26´.5

OBSERVED BODY:

SUN

37s N E

Zλ : ZG : ZM :

244° 244° 243°

VAR: AZG: AZM:

1°.6 244°.0 243°.0

E

NAUTICAL ALMANAC 12h 55m37s υ corr. GHA LONG. SHA LHA

: : : : : : :

356° 13°

44´.2 54´.3 01´.3 39´.7 26´.5 00´.0 06´.2

010° 056° 000° 067°

GHA CALCULATION

υ:

1.4

DEC: d corr : DEC:

S 17° - 00° S 17°

56´.8 d: -0.7 00´.7 56´.1

LHA CALCULATION OBSERVATION REMARKS

GYRO #2 CENTRAL REPEATER NORIE'S NAUTICAL TABLES A B

: :

0.20 0.35

S S

A±B :

0.55

S

C:

S 063°.5 W

AZλ :

COMPASS ERROR CALCULATION GYRO MAGNETIC AZλ AZλ : : 243°.5 243°.5 AZG AZ : 244°.0 243°.0 M: ERROR : 0°.5 W ERROR : 0°.5 E DEV : 1°.1 W

243°.5

OFFICER'S SIGNATURE

COMPASS ERROR CALCULATION FORM DATE : UTC : LAT : LONG :

00h

23/08/05 52m

33° 009°

20´.9 02´.7

OBSERVED BODY:

CAPELLA

30s N W

Zλ : ZG : ZM :

042° 042° 048°

VAR: AZG: AZM:

3°.7 043°.7 049°.7

W

NAUTICAL ALMANAC 0h 52m30s υ corr. GHA LONG. SHA LHA

: : : : : : :

331° 13°

23´.2 09´.7 00´.0 32´.9 02´.7 43´.7 13´.9

344° 009° 280° 256°

GHA CALCULATION

υ:

0.0

DEC: d corr : DEC:

N 46° + 00° N 46°

00´.2 d: 0.0 00´.0 00´.2

LHA CALCULATION OBSERVATION REMARKS

GYRO #2 STBD REPEATER NORIE'S NAUTICAL TABLES A B

: :

0.16 1.07

N N

A±B :

1.23

N

C:

N 044°.3 E

AZλ :

COMPASS ERROR CALCULATION GYRO MAGNETIC AZλ AZλ : : 044°.3 044°.3 AZG AZ : 043°.7 049°.7 M: ERROR : 0°.6 E ERROR : 5°.4 W DEV : 1°.7 W

044°.3

OFFICER'S SIGNATURE

SIGHT REDUCTION CALCULATIONS - FOR L.O.P.

* H.O. 229 * ENTERING ARGUMENTS aLAT: 026° N LHA: 058° DEC: 000° 26´.6 Hc: 28° d: -30´.1 Z: 074.7° 00´.0 DSD: 26´.6 Hc: 28° 00´.0 d corr.: 00´.0 DSD corr.: HA: 28° 26´.6 Z: 074.7° Zn: 285.3° * INTERCEPT * Hλ: 00° 51´.8 26´.6 HA: 28° -34´.8 DH: AWAY

GHA LHA DEC TRUE ALTITUDE RESPONDENTS

* NAUTICAL ALMANAC * 00´.0 00h 000° 00° 00´.0 00m 00s 00´.0 υ corr. 00´.0 GHA: 000° 00´.0 SHA: 000° 000° 00´.0 W aLONG: 00´.0 LHA: 058° 00´.0 0 DEC: 00° 00´.0 + d corr: 00° 00° 00´.0 0 DEC: 00´.0 ALTITUDE: 00° 00´.1 INDEX E.: 00´.1 HT: 00° -08´.3 DIP: 51´.8 OBS.ALT.: 00° 00´.0 CORR1: 00´.0 CORR2: 00´.0 CORR3: Hλ: 00° 51´.8

+ -

HA

GHA LHA DEC

OBSERVATION 2 NAME: 0 0:00:00 UTC: 00´.0 ALTITUDE: 00° 00´.0 SHA: 000° 00° 00´.0 DEC: 0 0.0 d: + υ: 0.0

Zn

* H.O. 229 * ENTERING ARGUMENTS aLAT: 026° N LHA: 031° DEC: 017° 52´.4 Hc: 59° 22´.4 d: Z: 079.8° 00´.0 DSD: 52´.4 Hc: 59° 10´.7 d corr.: 00´.0 DSD corr.: HA: 60° 03´.1 Z: 079.8° Zn: 280.2° * INTERCEPT * Hλ: 77° 45´.2 03´.1 HA: 60° 42´.1 DH: TOWARDS

+ -

TRUE ALTITUDE

* NAUTICAL ALMANAC * 53´.9 13h 015° 11° 02´.8 44m 11s 00´.0 υ corr. 56´.7 GHA: 026° 00´.0 SHA: 000° 000° 00´.0 W aLONG: 00´.0 LHA: 031° 28´.2 N DEC: 17° 00´.5 + d corr: 00° 17° 28´.7 N DEC: 53´.4 ALTITUDE: 77° 00´.1 INDEX E.: 53´.5 HT: 77° -08´.3 DIP: 45´.2 OBS.ALT.: 77° 00´.0 CORR1: 00´.0 CORR2: 00´.0 CORR3: Hλ: 77° 45´.2

HEIGHT OF EYE: 22.0 m

45´.0 N 56´.0 W

RESPONDENTS

OBSERVATION 1 NAME: SUN UTC: 13:44:11 53´.4 ALTITUDE: 77° 00´.0 SHA: 000° 17° 28´.2 DEC: N 0.7 d: + υ: 0.0

0´.1

DH

DH

Zn

HA

RESPONDENTS

TRUE ALTITUDE

DEC

LHA

GHA

+ -

LAT: 25° LONG: 057°

HA

DR POSITION

SEXTANT INDEX ERROR:

Zn

5/9/2005

DH

DATE:

OBSERVATION 3 NAME: 0 0:00:00 UTC: 00´.0 ALTITUDE: 00° 00´.0 SHA: 000° 00° 00´.0 DEC: 0 0.0 d: + υ: 0.0 * NAUTICAL ALMANAC * 00´.0 00h 000° 00° 00´.0 00m 00s 00´.0 υ corr. 00´.0 GHA: 000° 00´.0 SHA: 000° 000° 00´.0 W aLONG: 00´.0 LHA: 058° 00´.0 0 DEC: 00° 00´.0 + d corr: 00° 00° 00´.0 0 DEC: 00´.0 ALTITUDE: 00° 00´.1 INDEX E.: 00´.1 HT: 00° -08´.3 DIP: 51´.8 OBS.ALT.: 00° 00´.0 CORR1: 00´.0 CORR2: 00´.0 CORR3: Hλ: 00° 51´.8 * H.O. 229 * ENTERING ARGUMENTS aLAT: 026° N LHA: 058° DEC: 000° 26´.6 Hc: 28° d: -30´.1 Z: 074.7° 00´.0 DSD: 26´.6 Hc: 28° 00´.0 d corr.: 00´.0 DSD corr.: HA: 28° 26´.6 Z: 074.7° Zn: 285.3° * INTERCEPT * Hλ: 00° 51´.8 26´.6 HA: 28° -34´.8 DH: AWAY

ADMIRALTY TIDE TABLES CALCULATION FORM STANDARD PORT :

LISBOA

HIGH WATER

1

LOW WATER

HEIGHT DIFFERENCES

DATE & TIME

HEIGHT

DATE & TIME

HEIGHT

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

MHHW MHWS

MLHW MHWN

MHLW MLWN

SEASONAL CHANGE:

MLLW MLWS 0.0

2

SECONDARY PORT:

PORTIMAO TIME DIFFERENCES HIGH WATER

-

+ -

Y X

0.0 0.0

0.0 0.0

0.0 0.0

0.0 0.0

HEIGHT DIFFERENCES MHHW MHWS

LOW WATER

-

-

DATE:

PORT NAME

### ### STANDARD SECONDARY

LISBOA PORTIMAO

LISBOA Seasonal Change Standard Port Corrected Heights Interpolated Differences Seasonal Change PORTIMAO

+ -

### ###

Y X

0.0 0.0

0.0 0.0

0.0 0.0

0.0 0.0

### ### STANDARD SECONDARY

MHW HHW +

LISBOA PORTIMAO

MLW LLW

6/7/2000

MHHW MLHW MHLW MLLW MHWS MHWN MLWN MLWS 0.0 0.0 0.0 0.0

+

DATE / TIME HW LW 6/7/2000 4:22 6/7/2000 9:48 6/7/2000 16:39 6/7/2000 22:19 Standard Port

HEIGHT HW LW 3.5 0.7 3.6 0.7 0.0 0.0 3.5 0.7 3.6 0.7 Err:502 Err:502 0:00 + 0:00 + Err:502 Err:502 Secondary Port 0.0 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 12/30/1899

TIME DIFFERENCES HEIGHT DIFFERENCES MHW MLW MHHW MLHW MHLW MLLW HHW LLW MHWS MHWN MLWN MLWS 0.0 0.0 0.0 0.0 + + 0.0 0.0 0.0 0.0 DATE / TIME HW LW

HEIGHT HW LW

Standard Port

0.0 0.0 0.0 0.0 0.0 0.0 Err:502 Err:502

LISBOA Seasonal Change Standard Port Corrected Heights Interpolated Differences

MLLW MLWS

HEIGHT DIFFERENCES

DATE:

PORT NAME

MHLW MLWN

-

TIME DIFFERENCES ### ###

MLHW MHWN

+

0:00

+

0:00

Interpolated Differences Seasonal Change PORTIMAO

+

0:00

+

0:00

Err:502 Err:502 Secondary Port 0.0 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

SIMPLIFIED HARMONIC METHOD OF TIDAL PREDICTION - USING ADMIRALTY TIDE TABLES (PART III / TABLE VII) PORT A.T.T. No. DATE TIME (HH:MM) TIME ZONE

PUNTA ARENAS 9881 6/18/2009

12: 00 4:00

ML Z0

S.W. CORRECTIONS 1/4 diurnal 1/6 diurnal f4 F4 f6 F6 m g° H.m g° H.m g° H.m g° H.m 1.16 129 0.58 161 0.12 336 0.12 336 0.03 175 0.085 000 0.000 Seasonal Correction 0.10 (For month June)

TIDAL ANGLES & FACTORS (TABLE VII) M2 S2 K1 O1 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

HARMONIC CONSTANTS (PART III) M2 S2 K1 O1

NOTICE! COMPLETE ONLY THE HIGHLIGHTED CELLS

Tidal height at requested time:

0.90 m

DAILY TIDAL PREDICTION CHART 2.00 1.80 1.60 1.20 1.00 0.80 0.60 0.40 0.20 0.00

0:00 0:42 1:24 2:06 2:48 3:30 4:12 4:54 5:36 6:18 7:00 7:42 8:24 9:06 9:48 10:30 11:12 11:54 12:36 13:18 14:00 14:42 15:24 16:06 16:48 17:30 18:12 18:54 19:36 20:18 21:00 21:42 22:24 23:06 23:48

HEIGHT (m)

1.40

TIME (Hours)

TIME (Hours)

1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2

SIMPLIFIED HARMONIC METHOD OF TIDAL STREAM PREDICTION - USING ADMIRALTY TIDE TABLES (PART IIIa / TABLE VII) PLACE PUNTA ARENAS A.T.T. No. 9881 DATE 7/21/2009 TIME (HH:MM) 01: 00 TIME ZONE - 4:00

DIR.

Z0

HARMONIC CONSTANTS (PART IIIa) M2 S2 K1 O1

(+) (-) kn g° H.kn g° H.kn g° H.kn g° 045° 225° 1.22 355 0.50 084 0.21 068 0.30 024 Seasonal Correction 0.00 (For month July)

TIDAL ANGLES & FACTORS (TABLE VII) M2 S2 K1 O1 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

1 2

S.W. CORRECTIONS 1/4 diurnal 1/6 diurnal f4 F4 f6 F6 H.kn 0.22 000 0.000 000 0.000

COMPLETE ONLY THE HIGHLIGHTED CELLS FOR ROTARY CURRENTS TWO PREDICTION CHARTS MUST BE PREPARED Tidal stream rate at requested time: 0.83 knots Tidal stream direction at requested time: 045°

DAILY TIDAL STREAM PREDICTION CHART 2.50

1.50 1.00 0.50 0.00

0:00 0:42 1:24 2:06 2:48 3:30 4:12 4:54 5:36 6:18 7:00 7:42 8:24 9:06 9:48 10:30 11:12 11:54 12:36 13:18 14:00 14:42 15:24 16:06 16:48 17:30 18:12 18:54 19:36 20:18 21:00 21:42 22:24 23:06 23:48

RATE (kn)

2.00

TIME (Hours)

TIME (Hours)

1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2

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 LxBxD

Squat calculation :

SQUAT max. Confined waters = 2 x CB x ( V2 / 100 ) SQUAT max. Open waters = CB x ( V2 / 100 )

VESSEL'S SQUAT Order

Condition Laden NAV. FULL Ballast Laden FULL Ballast Laden HALF Ballast Laden SLOW Ballast Laden D. SLOW Ballast

Speed 15.6 17.3 12.1 14.0 9.8 11.3 7.0 8.0 5.5 6.3

Open Waters (m)

Confined Waters (m)

1.943 2.390 1.169 1.565 0.767 1.020 0.391 0.511 0.242 0.317

3.887 4.780 2.338 3.131 1.534 2.039 0.783 1.022 0.483 0.634

Knots Knots Knots Knots Knots Knots Knots Knots Knots Knots

ASTRO POLARIS - SQUAT EFFECT GRAPH 6.000

SQUAT (METERS)

5.000 4.000 Column H

3.000

Column I

2.000 1.000 0.000 5.5

6.3

7.0

8.0

9.8

11.3

SPEED (KNOTS)

12.1

14.0

15.6

17.3