Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter A, Problem 47ES
To determine
To fill: The blank in the statement, “
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Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Activ
Determine compass error using amplitude (Sun).
Minimum number of times that activity should be performed: 3 (1 each phase)
Sample calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288°
by compass. Find the compass error.
LMT Sunset:
LIT:
(+) 00d
07d 18h
00h
13m
40m
UTC Sunset:
07d
18h
53m
(added- since longitude is westerly)
Declination (07d 18h):
N 016° 55.5'
d (0.7):
(+)
00.6'
Declination Sun:
N 016° 56.1'
Sin Amplitude = Sin Declination/Cos Latitude
= Sin 016°56.1'/ Cos 10°00'
= 0.295780189
Amplitude=W17.2N
(The prefix of amplitude is named easterly if body is rising,
and westerly if body is setting. The suffix is named same
as declination)
True Bearing=287.2°
Compass Bearing= 288.0°
Compass Error = 0.8° West
Chapter A Solutions
Developmental Mathematics (9th Edition)
Ch. A - Use the unit below to measure the length of each...Ch. A - Prob. 2DECh. A - Prob. 3DECh. A - Prob. 4DECh. A - Prob. 5DECh. A - Prob. 6DECh. A - Prob. 7DECh. A - Prob. 8DECh. A - Prob. 9DECh. A - Prob. 10DE
Ch. A - Prob. 11DECh. A - Prob. 12DECh. A - Prob. 13DECh. A - Prob. 14DECh. A - Prob. 15DECh. A - Prob. 16DECh. A - Prob. 17DECh. A - Prob. 18DECh. A - Prob. 19DECh. A - Prob. 20DECh. A - Prob. 21DECh. A - Prob. 22DECh. A - Prob. 23DECh. A - Prob. 24DECh. A - Prob. 25DECh. A - Prob. 26DECh. A - Prob. 27DECh. A - Prob. 28DECh. A - Prob. 29DECh. A - Prob. 30DECh. A - Prob. 31DECh. A - Prob. 32DECh. A - Prob. 33DECh. A - Complete. Try to do this mentally using the...Ch. A - Prob. 35DECh. A - Prob. 36DECh. A - Prob. 37DECh. A - Prob. 38DECh. A - Prob. 39DECh. A - Prob. 40DECh. A - Prob. 1ESCh. A - Prob. 2ESCh. A - Prob. 3ESCh. A - Prob. 4ESCh. A - Prob. 5ESCh. A - Prob. 6ESCh. A - Prob. 7ESCh. A - Prob. 8ESCh. A - Prob. 9ESCh. A - Prob. 10ESCh. A - Prob. 11ESCh. A - Prob. 12ESCh. A - Prob. 13ESCh. A - Prob. 14ESCh. A - Prob. 15ESCh. A - Prob. 16ESCh. A - Prob. 17ESCh. A - Prob. 18ESCh. A - Prob. 19ESCh. A - Prob. 20ESCh. A - Prob. 21ESCh. A - Prob. 22ESCh. A - Prob. 23ESCh. A - Prob. 24ESCh. A - Prob. 25ESCh. A - Prob. 26ESCh. A - Prob. 27ESCh. A - Prob. 28ESCh. A - Prob. 29ESCh. A - Prob. 30ESCh. A - Prob. 31ESCh. A - Prob. 32ESCh. A - Prob. 33ESCh. A - Prob. 34ESCh. A - Prob. 35ESCh. A - Prob. 36ESCh. A - b Complete. Do as much as possible mentally. a....Ch. A - Prob. 38ESCh. A - Prob. 39ESCh. A - Prob. 40ESCh. A - Prob. 41ESCh. A - Prob. 42ESCh. A - Prob. 43ESCh. A - Prob. 44ESCh. A - Prob. 45ESCh. A - Prob. 46ESCh. A - Prob. 47ESCh. A - Prob. 48ESCh. A - Prob. 49ESCh. A - Prob. 50ESCh. A - Prob. 51ESCh. A - Prob. 52ESCh. A - Prob. 53ESCh. A - Prob. 54ESCh. A - Prob. 55ESCh. A - Prob. 56ESCh. A - Prob. 57ESCh. A - Prob. 58ESCh. A - Prob. 59ESCh. A - Prob. 60ESCh. A - Prob. 61ESCh. A - Prob. 62ESCh. A - Prob. 63ESCh. A - Prob. 64ESCh. A - Prob. 65ESCh. A - Prob. 66ESCh. A - Prob. 67ESCh. A - Prob. 68ESCh. A - Prob. 69ESCh. A - Prob. 70ESCh. A - Prob. 71ESCh. A - Prob. 72ESCh. A - Prob. 73ESCh. A - Prob. 74ESCh. A - Prob. 75ESCh. A - Prob. 76ESCh. A - Prob. 77ESCh. A - Prob. 78ESCh. A - Prob. 79ESCh. A - Prob. 80ESCh. A - Prob. 81ESCh. A - Prob. 82ESCh. A - Prob. 83ESCh. A - Prob. 84ESCh. A - Prob. 85ESCh. A - Prob. 86ESCh. A - Prob. 87ESCh. A - Prob. 88ESCh. A - Prob. 89ESCh. A - Prob. 90ESCh. A - Prob. 91ESCh. A - Prob. 92ESCh. A - Prob. 93ESCh. A - Prob. 94ESCh. A - Prob. 95ESCh. A - Prob. 96ESCh. A - Prob. 97ESCh. A - Prob. 98ESCh. A - Prob. 99ESCh. A - Prob. 100ESCh. A - Prob. 101ESCh. A - Prob. 102ESCh. A - Prob. 103ESCh. A - Prob. 104ESCh. A - Prob. 105ESCh. A - Prob. 106ESCh. A - Prob. 107ESCh. A - Prob. 108ESCh. A - Prob. 109ESCh. A - Prob. 110ESCh. A - Prob. 111ESCh. A - Prob. 112ESCh. A - Prob. 113ESCh. A - Prob. 114ESCh. A - Prob. 115ESCh. A - Prob. 116ES
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