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VARIATIONS OF 
MAGNETIC DECLINATION
Daily Variation 
-also known as Diurnal variation 
-extreme eastern position of the 
needle usually occurs early in the 
morning and the extreme western 
position occurs just about after noon 
time. 
-usually neglected when observing 
magnetic directions
Morning After noon
Annual Variation 
• Also known as yearly 
variation 
• Amounts only less than 1 
minute of arc and thus 
considered negligible
Secular Variation 
• Slow, gradual but unexplainable 
• The meridian swings in one 
direction for about 150 years and 
comes to a stop then swings back 
in the opposite direction 
• It is important and not negligible 
because of its magnitude
• No means of formula to 
predict this variation 
• Nature and behavior can 
only be described from past 
observations
Irregular variation 
• Occurs unpredicted 
• During magnetic storm and 
disturbances associated with 
sun spots and auroral display 
occurrence
ISOGONIC CHART
Isogonic Chart 
- tells you how far from true 
north a compass will point 
anywhere along an isogonic 
line
Isogonic Lines Agonic Lines
Historical Magnetic 
Declination 
http://maps.ngdc.noaa.gov/viewers/ 
historical_declination/index.html 
Find Magnetic Declination with 
Google Maps 
http://www.geosats.com/magdecli.html
USE OF THE 
COMPASS
A 
B
(Use the compass app)
LOCAL ATTRACTION
PROJECT
Local Attraction 
The deflection of a magnetic 
needle of a compass from 
its true position due to the 
presence of magnetic 
influencing material
Local Attraction 
may be constant or may vary 
depending upon the surrounding 
magnetic influences 
draws the needle away from the 
magnetic meridian
Local Attraction 
present when: 
two observed directions differ
2
TYPES OF COMPASS 
SURVEYS
TYPES OF COMPASS SURVEYS 
1. OPEN COMPASS TRAVERSE 
2. CLOSE COMPASS TRAVERSE
OPEN COMPASS TRAVERSE 
• Are a series of lines connected to 
each other with known bearings 
and measurements. 
• The line doesn’t connect back to 
the original point and forms a 
polyline.
Disadvantage : 
• No arithmetic check available and 
therefore needs an extra care on 
measuring the bearings and the lines. 
• Needs to measure the line twice and 
take the mean as its length to make it 
more accurate.
CLOSE COMPASS TRAVERSE 
• Similar to an open compass traverse, 
but the series loops back to the 
original point. 
• Are used extensively in construction 
surveys, property and topographic 
surveys due to its checking 
availability.
Advantage : 
• Ability to check the angular 
measurements. 
– Sum of interior angles = 
(n-2)180degrees 
• Where n = number of sides
ADJUSTING OPEN 
COMPASS TRAVERSE
ADJUSTING OPEN COMPASS TRAVERSE 
• 1st STEP: make a sketch of the 
gathered data. 
• 2nd STEP: determine which among the 
traverse lines are free from local 
attraction. 
• 3rd STEP: performing the adjustment 
by starting from the “best line” or the 
unaffected line.
ADJUSTMENT OF A CLOSED 
COMPASS TRAVERSE
Important steps performed during 
adjustments 
I. Plot or tabulate 
II. Computing and adjusting the interior 
angles 
III.Selecting the best line 
IV. Adjusting the observed bearings of 
successive lines
The following forward and back bearings were observed 
in traversing with a compass. 
LINE 
OBSERVED BEARINGS 
FOREWARD BACKWARD 
PQ S 37° 30’ E N 37° 30’ W 
QR S 43° 15’ W N 44° 15’ E 
RS N 73° 00’ W S 72° 15’ E 
ST N 12° 45’ E S 13° 15’ W 
TP N 60° OO’ E S 59° OO’ W 
Calculate the interior angles and correct them for 
observational errors. Assuming the observed bearing 
of line PQ to be correct , adjust the remaining sides.
Sketch, sketch, sketch...
Solve for the interior angles
At Station P: 
αPQ = S 37° 30’ E 
(observed bearing for PQ) 
αPT = S 59° 00’ W 
(observed bearing for PT) 
So, the interior angle at P is : 
ϴP = αPQ + αPT 
= 59° 00’ + 37° 30’ 
= 96° 30’ (COMPUTED interior angle at P)
At Station Q: 
αQP = N 37° 30’ W 
(observed bearing for QP) 
αQR = S 43° 15’ W 
(observed bearing for QR) 
So, the interior angle at Q is : 
ϴQ = αQP + αQR 
= 180° - (37° 30’ + 43° 15’) 
= 99° 15’ (COMPUTED interior angle at Q)
At Station R: 
αRQ = N 44° 15’ E 
(observed bearing for RQ) 
αRS = N 73° 00’ W 
(observed bearing for RS) 
So, the interior angle at P is : 
ϴR = αRQ + αRS 
= 44° 15’ + 73° 00’ 
= 117° 15’ (COMPUTED interior angle at R)
At Station S: 
αSR = S 72° 15’ E 
(observed bearing for SR) 
αST = S 12° 45’ W 
(observed bearing for ST) 
So, the interior angle at P is : 
ϴS = αSR + αST 
= 180° - (72° 15’ + 12° 45’) 
= 95° 00’ (COMPUTED interior angle at S)
At Station T: 
αTS = S 13° 15’ W 
(observed bearing for TS) 
αTP = N 60° 00’ E 
(observed bearing for TP) 
So, the interior angle at T is : 
ϴT = 90° 00’ + αTS + (90° 00’ – αTP ) 
= 90° 00’ + 13° 15’ + (90° 00’ - 60° 00’) 
= 133° 15’ (COMPUTED interior angle at T)
Adjust the interior angles...
• Sum of Interior Angles 
SumA = θP + θQ + θR + θS + θT 
= 96° 30’ + 99° 15’ + 117° 15’ + 
95° 00’ + 133° 15’ 
= 541° 15’ (Sum of interior angles) 
• Sum of Interior Angles of a Polygon 
– Since the lot is a 5 sided polygon, its interior 
angle is: 
SumB = (n – 2) 180° 
where: n = no. of sides 
= (5 – 2) 180° 
= 540° 00’ (THEORETICAL sum)
• Determine the error of closure 
e = SumB - SumA 
= 541° 15’ - 540° 00’ 
= 1° 15’ (error of closure) 
• Obtain correction 
Corr = e / n 
= 1° 15’ / 5 
= 15’. (correction per interior angle)
• If SumA is less than SumB, the correction is added 
to each interior angle to determine the adjusted 
interior angle. Else, subtract. 
θ’P = θP - Corr. = 96° 30’ - 15’ = 96° 15’ 
θ’Q = θQ - Corr. = 99° 15’ - 15’ = 99° 00’ 
θ’R = θR - Corr. = 117° 15’ - 15’ = 117°00’ 
θ’S = θS - Corr. = 95° 00’ - 15’ = 94° 45’ 
θ’T = θT - Corr. = 133° 15’ - 15’ = 133°00’ 
Sum = 541° 15’ - 1° 15’ = 540° 00’
Solve for the adjusted bearings
• The adjustment is started from either end of the 
best line. 
- Adjustment for QR and RQ 
θ’Q = 99° 00’ 
α’PQ = N 37° 30’ W 
α’QR = 180° - (α’PQ + θ’Q ) 
=180° - (37° 30’ + 99° 00’ ) 
= 43° 30’ or 
α’QR = S 43° 30’ E 
(adjusted bearing of line QR) 
-Also, α’RQ = N 43° 30’ W 
(adjusted bearing of line RQ which 
is opposite the adjusted bearing of QR)
-Adjustment for RS and SR 
θ’R = 117°00’ 
α’RQ = N 43° 30’ E 
α’RS = θ’R - α’RQ 
= 117° 00’ - 43° 30’ 
= 73° 30’ or 
α’RS = N 73° 30’ W 
(adjusted bearing of line RS) 
-Also, α’SR = S 73° 30’ E 
(adjusted bearing of line SR 
which is opposite the adjusted 
bearing of RS)
-Adjustment for ST and TS 
θ’S = 94°45’ 
α’SR = S 73° 30’ E 
α’ST = 180° - (θ’S + α’SR ) 
= 180° 00’ – 
(94° 45’ + 73° 30’) 
= 11° 45’ or 
α’ST = N 11° 45’ E 
(adjusted bearing of line RS) 
-Also, α’TS = S 11° 45’ W 
(adjusted bearing of line TS 
which is opposite the adjusted 
bearing of ST)
- Adjustment for TP and PT 
θ’T = 133°00’ 
α’TS = S 73° 30’ W 
α’TP = 180° + α’TS - θ’T 
= 180° 00’ + 11° 45’ 
- 133°00’ 
= 58° 45’ or 
α’TP = N 58° 45’ E 
(adjusted bearing of line RS) 
-Also, α’PT = S 58° 45’ W 
(adjusted bearing of line PT 
which is opposite the adjusted 
bearing of TP)
Tabulated of Adjusted 
Traverse Area 
STATION 
COMPUTED 
INTEROR 
ANGLES 
CORR. 
ADJUSTED 
INTERIOR 
ANGLES 
LINE 
ADJUSTED BEARINGS 
FORWARD BACK 
P 96° 30’ 15’ 96° 15’ PQ S 37° 30’ E N 37° 30’ W 
Q 99° 15’ 15’ 99° 00’ QR S 43° 30’ W N 43° 30’ E 
R 117° 15’ 15’ 117° 00’ RS N 73° 30’ W S 73° 30’ E 
S 95° 00’ 15’ 94° 45’ ST N 11° 45’ E S 11° 45’ W 
T 133° 15’ 15’ 133° 00’ TP N 58° 45’ E S 58° 45’ W 
SUM 541° 15’ 1° 15’ 540° 00’
• If local attraction exist at any 
station, both backward and 
forward bearing are equally 
affected. Thus, interior angle 
computed from forward and 
backward bearing are 
independent of local attraction.
PRECISION IN 
COMPASS WORK
Sources of Error 
In COMPASS Work
1. Bent Needle 
2. Bent Pivot 
3. Sluggish Needle 
4. Plane of Sight Not Vertical 
5. Electrically Charge Compass Box 
6. Local Attraction 
7. Magnetic Variation 
8. Errors in Reading The Needle
1. Bent Needle 
-All observed Bearings will have a constant 
error, Either end of the needle will read 
higher or lower than the correct value. 
2.Bent Pivot 
-A variable systematic error in magnetic 
compass. The magnitude of the error will 
depend upon direction in which the sight is 
made.
3. Sluggish Needle 
—needle moves unusually slowly in 
seeking magnetic north—it will 
probably come to rest a little off the 
magnetic meridian. 
Most common cause: 
- weakening of the magnetism of 
the needle.
4.Plane of sight Not Vertical. 
When Observing the direction of a line, 
the line of sight may be steeply inclined if the 
sight vanes are bent. 
5.Electrically charged Compass Box 
happens when the glass cover of the 
compass box is rubbed in the surface. 
6.Local attraction. 
The correct pointing of the magnetic 
needle toward magnetic north is usually affected 
by different forms of local attraction.
7.Magnetic Variations
8.Errors in Reading Needles 
Most accidental errors in compass 
work is due to the inability of the 
observer to determine exactly the 
point on the graduated circle where 
the needle comes to rest.
MISTAKES IN COMPASS 
WORK
MISTAKES OF COMPASS WORK 
• Reading the wrong end of the 
magnetic needle. 
• Failing to observe the reverse 
bearings or azimuths of lines in the 
traverse. 
• Misreading the quadrant letters 
when taking a bearing near the 
cardinal points of the compass.
• Bearing letters are not changed when 
using the reversed bearing of a line. 
• Setting off the magnetic 
declination on the wrong side of 
north. 
• Failing to adjust the observed 
traverse angles prior to 
calculating bearings or azimuths 
of traverse lines.
• Mixing or interchanging the 
recording of azimuths from north 
and south, magnetic and true 
bearings, clockwise and 
counterclockwise angles, or 
forward and back bearings. 
• Selecting a line for referencing 
arbitrary directions which may be 
difficult to locate later.
(END)

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Variations in Magnetic Declination

  • 2. Daily Variation -also known as Diurnal variation -extreme eastern position of the needle usually occurs early in the morning and the extreme western position occurs just about after noon time. -usually neglected when observing magnetic directions
  • 4. Annual Variation • Also known as yearly variation • Amounts only less than 1 minute of arc and thus considered negligible
  • 5. Secular Variation • Slow, gradual but unexplainable • The meridian swings in one direction for about 150 years and comes to a stop then swings back in the opposite direction • It is important and not negligible because of its magnitude
  • 6. • No means of formula to predict this variation • Nature and behavior can only be described from past observations
  • 7.
  • 8. Irregular variation • Occurs unpredicted • During magnetic storm and disturbances associated with sun spots and auroral display occurrence
  • 10.
  • 11. Isogonic Chart - tells you how far from true north a compass will point anywhere along an isogonic line
  • 13. Historical Magnetic Declination http://maps.ngdc.noaa.gov/viewers/ historical_declination/index.html Find Magnetic Declination with Google Maps http://www.geosats.com/magdecli.html
  • 14.
  • 15. USE OF THE COMPASS
  • 16.
  • 17. A B
  • 21. Local Attraction The deflection of a magnetic needle of a compass from its true position due to the presence of magnetic influencing material
  • 22. Local Attraction may be constant or may vary depending upon the surrounding magnetic influences draws the needle away from the magnetic meridian
  • 23. Local Attraction present when: two observed directions differ
  • 24. 2
  • 25. TYPES OF COMPASS SURVEYS
  • 26. TYPES OF COMPASS SURVEYS 1. OPEN COMPASS TRAVERSE 2. CLOSE COMPASS TRAVERSE
  • 27. OPEN COMPASS TRAVERSE • Are a series of lines connected to each other with known bearings and measurements. • The line doesn’t connect back to the original point and forms a polyline.
  • 28. Disadvantage : • No arithmetic check available and therefore needs an extra care on measuring the bearings and the lines. • Needs to measure the line twice and take the mean as its length to make it more accurate.
  • 29. CLOSE COMPASS TRAVERSE • Similar to an open compass traverse, but the series loops back to the original point. • Are used extensively in construction surveys, property and topographic surveys due to its checking availability.
  • 30. Advantage : • Ability to check the angular measurements. – Sum of interior angles = (n-2)180degrees • Where n = number of sides
  • 32. ADJUSTING OPEN COMPASS TRAVERSE • 1st STEP: make a sketch of the gathered data. • 2nd STEP: determine which among the traverse lines are free from local attraction. • 3rd STEP: performing the adjustment by starting from the “best line” or the unaffected line.
  • 33. ADJUSTMENT OF A CLOSED COMPASS TRAVERSE
  • 34. Important steps performed during adjustments I. Plot or tabulate II. Computing and adjusting the interior angles III.Selecting the best line IV. Adjusting the observed bearings of successive lines
  • 35. The following forward and back bearings were observed in traversing with a compass. LINE OBSERVED BEARINGS FOREWARD BACKWARD PQ S 37° 30’ E N 37° 30’ W QR S 43° 15’ W N 44° 15’ E RS N 73° 00’ W S 72° 15’ E ST N 12° 45’ E S 13° 15’ W TP N 60° OO’ E S 59° OO’ W Calculate the interior angles and correct them for observational errors. Assuming the observed bearing of line PQ to be correct , adjust the remaining sides.
  • 37.
  • 38. Solve for the interior angles
  • 39. At Station P: αPQ = S 37° 30’ E (observed bearing for PQ) αPT = S 59° 00’ W (observed bearing for PT) So, the interior angle at P is : ϴP = αPQ + αPT = 59° 00’ + 37° 30’ = 96° 30’ (COMPUTED interior angle at P)
  • 40. At Station Q: αQP = N 37° 30’ W (observed bearing for QP) αQR = S 43° 15’ W (observed bearing for QR) So, the interior angle at Q is : ϴQ = αQP + αQR = 180° - (37° 30’ + 43° 15’) = 99° 15’ (COMPUTED interior angle at Q)
  • 41. At Station R: αRQ = N 44° 15’ E (observed bearing for RQ) αRS = N 73° 00’ W (observed bearing for RS) So, the interior angle at P is : ϴR = αRQ + αRS = 44° 15’ + 73° 00’ = 117° 15’ (COMPUTED interior angle at R)
  • 42. At Station S: αSR = S 72° 15’ E (observed bearing for SR) αST = S 12° 45’ W (observed bearing for ST) So, the interior angle at P is : ϴS = αSR + αST = 180° - (72° 15’ + 12° 45’) = 95° 00’ (COMPUTED interior angle at S)
  • 43. At Station T: αTS = S 13° 15’ W (observed bearing for TS) αTP = N 60° 00’ E (observed bearing for TP) So, the interior angle at T is : ϴT = 90° 00’ + αTS + (90° 00’ – αTP ) = 90° 00’ + 13° 15’ + (90° 00’ - 60° 00’) = 133° 15’ (COMPUTED interior angle at T)
  • 44. Adjust the interior angles...
  • 45. • Sum of Interior Angles SumA = θP + θQ + θR + θS + θT = 96° 30’ + 99° 15’ + 117° 15’ + 95° 00’ + 133° 15’ = 541° 15’ (Sum of interior angles) • Sum of Interior Angles of a Polygon – Since the lot is a 5 sided polygon, its interior angle is: SumB = (n – 2) 180° where: n = no. of sides = (5 – 2) 180° = 540° 00’ (THEORETICAL sum)
  • 46. • Determine the error of closure e = SumB - SumA = 541° 15’ - 540° 00’ = 1° 15’ (error of closure) • Obtain correction Corr = e / n = 1° 15’ / 5 = 15’. (correction per interior angle)
  • 47. • If SumA is less than SumB, the correction is added to each interior angle to determine the adjusted interior angle. Else, subtract. θ’P = θP - Corr. = 96° 30’ - 15’ = 96° 15’ θ’Q = θQ - Corr. = 99° 15’ - 15’ = 99° 00’ θ’R = θR - Corr. = 117° 15’ - 15’ = 117°00’ θ’S = θS - Corr. = 95° 00’ - 15’ = 94° 45’ θ’T = θT - Corr. = 133° 15’ - 15’ = 133°00’ Sum = 541° 15’ - 1° 15’ = 540° 00’
  • 48. Solve for the adjusted bearings
  • 49. • The adjustment is started from either end of the best line. - Adjustment for QR and RQ θ’Q = 99° 00’ α’PQ = N 37° 30’ W α’QR = 180° - (α’PQ + θ’Q ) =180° - (37° 30’ + 99° 00’ ) = 43° 30’ or α’QR = S 43° 30’ E (adjusted bearing of line QR) -Also, α’RQ = N 43° 30’ W (adjusted bearing of line RQ which is opposite the adjusted bearing of QR)
  • 50. -Adjustment for RS and SR θ’R = 117°00’ α’RQ = N 43° 30’ E α’RS = θ’R - α’RQ = 117° 00’ - 43° 30’ = 73° 30’ or α’RS = N 73° 30’ W (adjusted bearing of line RS) -Also, α’SR = S 73° 30’ E (adjusted bearing of line SR which is opposite the adjusted bearing of RS)
  • 51. -Adjustment for ST and TS θ’S = 94°45’ α’SR = S 73° 30’ E α’ST = 180° - (θ’S + α’SR ) = 180° 00’ – (94° 45’ + 73° 30’) = 11° 45’ or α’ST = N 11° 45’ E (adjusted bearing of line RS) -Also, α’TS = S 11° 45’ W (adjusted bearing of line TS which is opposite the adjusted bearing of ST)
  • 52. - Adjustment for TP and PT θ’T = 133°00’ α’TS = S 73° 30’ W α’TP = 180° + α’TS - θ’T = 180° 00’ + 11° 45’ - 133°00’ = 58° 45’ or α’TP = N 58° 45’ E (adjusted bearing of line RS) -Also, α’PT = S 58° 45’ W (adjusted bearing of line PT which is opposite the adjusted bearing of TP)
  • 53. Tabulated of Adjusted Traverse Area STATION COMPUTED INTEROR ANGLES CORR. ADJUSTED INTERIOR ANGLES LINE ADJUSTED BEARINGS FORWARD BACK P 96° 30’ 15’ 96° 15’ PQ S 37° 30’ E N 37° 30’ W Q 99° 15’ 15’ 99° 00’ QR S 43° 30’ W N 43° 30’ E R 117° 15’ 15’ 117° 00’ RS N 73° 30’ W S 73° 30’ E S 95° 00’ 15’ 94° 45’ ST N 11° 45’ E S 11° 45’ W T 133° 15’ 15’ 133° 00’ TP N 58° 45’ E S 58° 45’ W SUM 541° 15’ 1° 15’ 540° 00’
  • 54. • If local attraction exist at any station, both backward and forward bearing are equally affected. Thus, interior angle computed from forward and backward bearing are independent of local attraction.
  • 56. Sources of Error In COMPASS Work
  • 57. 1. Bent Needle 2. Bent Pivot 3. Sluggish Needle 4. Plane of Sight Not Vertical 5. Electrically Charge Compass Box 6. Local Attraction 7. Magnetic Variation 8. Errors in Reading The Needle
  • 58. 1. Bent Needle -All observed Bearings will have a constant error, Either end of the needle will read higher or lower than the correct value. 2.Bent Pivot -A variable systematic error in magnetic compass. The magnitude of the error will depend upon direction in which the sight is made.
  • 59. 3. Sluggish Needle —needle moves unusually slowly in seeking magnetic north—it will probably come to rest a little off the magnetic meridian. Most common cause: - weakening of the magnetism of the needle.
  • 60. 4.Plane of sight Not Vertical. When Observing the direction of a line, the line of sight may be steeply inclined if the sight vanes are bent. 5.Electrically charged Compass Box happens when the glass cover of the compass box is rubbed in the surface. 6.Local attraction. The correct pointing of the magnetic needle toward magnetic north is usually affected by different forms of local attraction.
  • 62. 8.Errors in Reading Needles Most accidental errors in compass work is due to the inability of the observer to determine exactly the point on the graduated circle where the needle comes to rest.
  • 64. MISTAKES OF COMPASS WORK • Reading the wrong end of the magnetic needle. • Failing to observe the reverse bearings or azimuths of lines in the traverse. • Misreading the quadrant letters when taking a bearing near the cardinal points of the compass.
  • 65. • Bearing letters are not changed when using the reversed bearing of a line. • Setting off the magnetic declination on the wrong side of north. • Failing to adjust the observed traverse angles prior to calculating bearings or azimuths of traverse lines.
  • 66. • Mixing or interchanging the recording of azimuths from north and south, magnetic and true bearings, clockwise and counterclockwise angles, or forward and back bearings. • Selecting a line for referencing arbitrary directions which may be difficult to locate later.
  • 67. (END)