written 6.1 years ago by | modified 6.0 years ago by |
Total closing error in latitude = ∑.northing - ∑.southing =230.192 – 221.637 = 8.56 = +8.56 (correction –ve)
Total closing error in departure = ∑easting - ∑.westing =291.74 – 292.414 = -0.67 = -0.67 (correction +ve)
By applying Bowditch rule for adjustment of correction
Correction of latitude = $\frac{\text{error in latitude ×length of that side}}{\text{perimeter of traverse}}$
Correction of departure = $\frac{\text{error in departure ×length of that side}}{\text{perimeter of traverse}}$
Perimeter of traverse = 792.93m
Correction of latitude-
Correction in line PQ = $\frac{8.56×78}{92.93}$ = 0.8420
Correction latitude of line PQ = 49.086 – 0.8420 = 48.2441
Correction in line QR = $\frac{8.56×203.10}{792.93}$ = 2.1925
Correction latitude of line QR = 45.11 – 2.1925= 42.9175
Correction in line RS = $\frac{8.56×149.01}{792.93}$ = 1.6086
Correction latitude of line RS = -145.287 – 1.6086= -146.8956
Correction in line PQ = $\frac{8.56×152.70}{792.93}$ = 1.6484
Correction latitude of line PQ = - 76.35 – 1.6484= - 77.9984
Correction in line PQ = $\frac{8.56×210.12}{92.93}$ = 2.2683
Correction latitude of line PQ = 135.996 – 2.2683= 132.7277
Correction in departure
Correction in line PQ = $\frac{0.67×78}{792.93}$ = 0.0659
Correction departure of line PQ = 60.617 – 0.0659= 60.6829
Correction in line QR = $\frac{0.67×78}{792.93}$ = 0.1716
Correction departure of line QR = 198.026 – 0.1716= 198.1976
Correction in line RS = $\frac{0.67×78}{92.93}$ = 0.1259
Correction departure of line RS = 33.097 – 0.1259= 33.2229
Correction in line SP = $\frac{0.67×78}{792.93}$ = 0.1290
Correction departure of line SP = -132.242 – 0.1290= -132.113
Correction in line TP = $\frac{0.67×78}{792.93}$ = 0.1775
Correction departure of line TP = -160.172 – 0.1775= -159.9945
Correct latitude and departure