ๅฐŠๆ•ฌ็š„ ๅพฎไฟกๆฑ‡็Ž‡๏ผš1ๅ†† โ‰ˆ 0.046374 ๅ…ƒ ๆ”ฏไป˜ๅฎๆฑ‡็Ž‡๏ผš1ๅ†† โ‰ˆ 0.046466ๅ…ƒ [้€€ๅ‡บ็™ปๅฝ•]
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Theodolite Field Observation Data and its Calculation
STA
TIO
N
LINE LENGTH INTERIOR
ANGLE
CORRECTED
INTERIOR
ANGLE
BEARINGS CALCULATED CORRECTED TOTAL CO-
ORDINATES
LATITUD
E
DEPARTUR
E
LATITUDE DEPARTUR
E
LATITUDE DEPARTURE
1 ๐ถ๐‘ƒ1 โˆ’ ๐ถ๐‘ƒ2 58.460 197ยฐ37'25'' 197ยฐ37'14'' 052ยฐ00'00'' 35.990 46.067 36.625 46.497
2 ๐ถ๐‘ƒ2 โˆ’ ๐ต๐‘€1 90.072 142ยฐ22'20'' 142ยฐ22'09'' 217ยฐ03'14'' 11.061 -89.390 12.040 -88.730
3 ๐ต๐‘€1 โˆ’ ๐ต๐‘€2 84.830 088ยฐ54'05'' 088ยฐ53'54'' 294ยฐ40'28'' 35.413 -77.084 36.335 -76.460
4 ๐ต๐‘€2 โˆ’ ๐ต๐‘€3 56.080 201ยฐ42'20'' 201ยฐ42'09'' 257ยฐ02'37'' -12.573 -54.652 -11.963 -54.221
5 ๐ต๐‘€3 โˆ’ ๐ต๐‘€4 94.075 157ยฐ30'35'' 157ยฐ30'24'' 165ยฐ56'31'' -91.257 22.851 -90.234 23.543
6 ๐ต๐‘€4 โˆ’ ๐ต๐‘€5 68.845 086ยฐ26'15'' 086ยฐ26'04'' 187ยฐ38'40'' -68.233 -9.158 -67.485 -8.651
7 ๐ต๐‘€5 โˆ’ ๐ต๐‘€6 65.965 148ยฐ43'10'' 148ยฐ42'59'' 165ยฐ09'04'' -63.762 16.904 -63.045 17.389
8 ๐ต๐‘€6 โˆ’ ๐ต๐‘€7 69.760 162ยฐ14'20'' 162ยฐ14'09'' 071ยฐ35'08'' 22.036 66.188 22.794 66.701
9 ๐ต๐‘€7 โˆ’ ๐ต๐‘€8 65.685 209ยฐ27'55'' 209ยฐ27'44'' 040ยฐ18'07'' 50.094 42.486 50.808 42.969
10 ๐ต๐‘€8 โˆ’ ๐ถ๐‘ƒ1 79.280 045ยฐ03'25'' 045ยฐ03'14'' 022ยฐ32'16'' 73.255 30.387 74.117 30.970
733.352 m 1440ยฐ01'50'' 1440ยฐ00'00'' -------------- -7.976 -5.401 ฦฉL = -0.008 ฦฉD = 0.007
Correction in ๐‘ช๐‘ท ๐Ÿ โˆ’ ๐‘ช๐‘ท ๐Ÿ:
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ“๐Ÿ–.๐Ÿ’๐Ÿ”๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.635
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ“๐Ÿ–.๐Ÿ’๐Ÿ”๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.430
Correction in ๐‘ช๐‘ท ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ—๐ŸŽ.๐ŸŽ๐Ÿ•๐Ÿ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.979
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ—๐ŸŽ.๐ŸŽ๐Ÿ•๐Ÿ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.663
Correction in ๐‘ฉ๐‘ด ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ–๐Ÿ’.๐Ÿ–๐Ÿ‘๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.922
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ–๐Ÿ’.๐Ÿ–๐Ÿ‘๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.624
Correction in ๐‘ฉ๐‘ด ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ‘ :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ“๐Ÿ”.๐ŸŽ๐Ÿ–๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.610
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ“๐Ÿ”.๐ŸŽ๐Ÿ–๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.431
Correction in ๐‘ฉ๐‘ด ๐Ÿ‘ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ’ :
๐‘ช ๐‘ณ=7.976 X
๐Ÿ—๐Ÿ’.๐ŸŽ๐Ÿ•๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 1.023
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ—๐Ÿ’.๐ŸŽ๐Ÿ•๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.692
Correction in ๐‘ฉ๐‘ด ๐Ÿ’ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ“ :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ”๐Ÿ–.๐Ÿ–๐Ÿ’๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.748
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ”๐Ÿ–.๐Ÿ–๐Ÿ’๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.507
Correction in ๐‘ฉ๐‘ด ๐Ÿ“ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ” :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ”๐Ÿ“.๐Ÿ—๐Ÿ”๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.717
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ”๐Ÿ“.๐Ÿ—๐Ÿ”๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.485
Correction in ๐‘ฉ๐‘ด ๐Ÿ” โˆ’ ๐‘ฉ๐‘ด ๐Ÿ• :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ”๐Ÿ—.๐Ÿ•๐Ÿ”๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.758
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ”๐Ÿ—.๐Ÿ•๐Ÿ”๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.513
Correction in ๐‘ฉ๐‘ด ๐Ÿ• โˆ’ ๐‘ฉ๐‘ด ๐Ÿ– :
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ”๐Ÿ“.๐Ÿ”๐Ÿ–๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.714
๐‘ช ๐‘ซ= 05.401 X
๐Ÿ”๐Ÿ“.๐Ÿ”๐Ÿ–๐Ÿ“
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.483
Correction in ๐‘ฉ๐‘ด ๐Ÿ– โˆ’ ๐‘ช๐‘ท ๐Ÿ:
๐‘ช ๐‘ณ= 7.976 X
๐Ÿ•๐Ÿ—.๐Ÿ๐Ÿ–๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.870
๐‘ช ๐‘ซ= 5.401 X
๐Ÿ•๐Ÿ—.๐Ÿ๐Ÿ–๐ŸŽ
๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ
= 0.583
*Calculation of Interior Angle*
Theoretically,
Total Interior angle = (2n - 4) x 90
=(2 x 10 - 4) x 90 = 1440ยฐ
Error in Interior angle = 1440ยฐ01โ€™50โ€-1440โ€
= - 0ยฐ1โ€™50โ€
Thus, Error ininterior angle is equally
distributed in all stations,
.:.Correction ineach station = - 0ยฐ1โ€™50โ€
10
= - 0ยฐ00โ€™11โ€
Theodolite traversing

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Theodolite traversing

  • 1. Theodolite Field Observation Data and its Calculation STA TIO N LINE LENGTH INTERIOR ANGLE CORRECTED INTERIOR ANGLE BEARINGS CALCULATED CORRECTED TOTAL CO- ORDINATES LATITUD E DEPARTUR E LATITUDE DEPARTUR E LATITUDE DEPARTURE 1 ๐ถ๐‘ƒ1 โˆ’ ๐ถ๐‘ƒ2 58.460 197ยฐ37'25'' 197ยฐ37'14'' 052ยฐ00'00'' 35.990 46.067 36.625 46.497 2 ๐ถ๐‘ƒ2 โˆ’ ๐ต๐‘€1 90.072 142ยฐ22'20'' 142ยฐ22'09'' 217ยฐ03'14'' 11.061 -89.390 12.040 -88.730 3 ๐ต๐‘€1 โˆ’ ๐ต๐‘€2 84.830 088ยฐ54'05'' 088ยฐ53'54'' 294ยฐ40'28'' 35.413 -77.084 36.335 -76.460 4 ๐ต๐‘€2 โˆ’ ๐ต๐‘€3 56.080 201ยฐ42'20'' 201ยฐ42'09'' 257ยฐ02'37'' -12.573 -54.652 -11.963 -54.221 5 ๐ต๐‘€3 โˆ’ ๐ต๐‘€4 94.075 157ยฐ30'35'' 157ยฐ30'24'' 165ยฐ56'31'' -91.257 22.851 -90.234 23.543 6 ๐ต๐‘€4 โˆ’ ๐ต๐‘€5 68.845 086ยฐ26'15'' 086ยฐ26'04'' 187ยฐ38'40'' -68.233 -9.158 -67.485 -8.651 7 ๐ต๐‘€5 โˆ’ ๐ต๐‘€6 65.965 148ยฐ43'10'' 148ยฐ42'59'' 165ยฐ09'04'' -63.762 16.904 -63.045 17.389 8 ๐ต๐‘€6 โˆ’ ๐ต๐‘€7 69.760 162ยฐ14'20'' 162ยฐ14'09'' 071ยฐ35'08'' 22.036 66.188 22.794 66.701 9 ๐ต๐‘€7 โˆ’ ๐ต๐‘€8 65.685 209ยฐ27'55'' 209ยฐ27'44'' 040ยฐ18'07'' 50.094 42.486 50.808 42.969 10 ๐ต๐‘€8 โˆ’ ๐ถ๐‘ƒ1 79.280 045ยฐ03'25'' 045ยฐ03'14'' 022ยฐ32'16'' 73.255 30.387 74.117 30.970 733.352 m 1440ยฐ01'50'' 1440ยฐ00'00'' -------------- -7.976 -5.401 ฦฉL = -0.008 ฦฉD = 0.007 Correction in ๐‘ช๐‘ท ๐Ÿ โˆ’ ๐‘ช๐‘ท ๐Ÿ: ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ“๐Ÿ–.๐Ÿ’๐Ÿ”๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.635 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ“๐Ÿ–.๐Ÿ’๐Ÿ”๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.430 Correction in ๐‘ช๐‘ท ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ—๐ŸŽ.๐ŸŽ๐Ÿ•๐Ÿ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.979 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ—๐ŸŽ.๐ŸŽ๐Ÿ•๐Ÿ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.663 Correction in ๐‘ฉ๐‘ด ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ–๐Ÿ’.๐Ÿ–๐Ÿ‘๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.922 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ–๐Ÿ’.๐Ÿ–๐Ÿ‘๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.624 Correction in ๐‘ฉ๐‘ด ๐Ÿ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ‘ : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ“๐Ÿ”.๐ŸŽ๐Ÿ–๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.610 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ“๐Ÿ”.๐ŸŽ๐Ÿ–๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.431 Correction in ๐‘ฉ๐‘ด ๐Ÿ‘ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ’ : ๐‘ช ๐‘ณ=7.976 X ๐Ÿ—๐Ÿ’.๐ŸŽ๐Ÿ•๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 1.023 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ—๐Ÿ’.๐ŸŽ๐Ÿ•๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.692 Correction in ๐‘ฉ๐‘ด ๐Ÿ’ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ“ : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ”๐Ÿ–.๐Ÿ–๐Ÿ’๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.748 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ”๐Ÿ–.๐Ÿ–๐Ÿ’๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.507 Correction in ๐‘ฉ๐‘ด ๐Ÿ“ โˆ’ ๐‘ฉ๐‘ด ๐Ÿ” : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ”๐Ÿ“.๐Ÿ—๐Ÿ”๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.717 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ”๐Ÿ“.๐Ÿ—๐Ÿ”๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.485 Correction in ๐‘ฉ๐‘ด ๐Ÿ” โˆ’ ๐‘ฉ๐‘ด ๐Ÿ• : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ”๐Ÿ—.๐Ÿ•๐Ÿ”๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.758 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ”๐Ÿ—.๐Ÿ•๐Ÿ”๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.513 Correction in ๐‘ฉ๐‘ด ๐Ÿ• โˆ’ ๐‘ฉ๐‘ด ๐Ÿ– : ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ”๐Ÿ“.๐Ÿ”๐Ÿ–๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.714 ๐‘ช ๐‘ซ= 05.401 X ๐Ÿ”๐Ÿ“.๐Ÿ”๐Ÿ–๐Ÿ“ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.483 Correction in ๐‘ฉ๐‘ด ๐Ÿ– โˆ’ ๐‘ช๐‘ท ๐Ÿ: ๐‘ช ๐‘ณ= 7.976 X ๐Ÿ•๐Ÿ—.๐Ÿ๐Ÿ–๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.870 ๐‘ช ๐‘ซ= 5.401 X ๐Ÿ•๐Ÿ—.๐Ÿ๐Ÿ–๐ŸŽ ๐Ÿ•๐Ÿ‘๐Ÿ‘.๐Ÿ‘๐Ÿ“๐Ÿ = 0.583 *Calculation of Interior Angle* Theoretically, Total Interior angle = (2n - 4) x 90 =(2 x 10 - 4) x 90 = 1440ยฐ Error in Interior angle = 1440ยฐ01โ€™50โ€-1440โ€ = - 0ยฐ1โ€™50โ€ Thus, Error ininterior angle is equally distributed in all stations, .:.Correction ineach station = - 0ยฐ1โ€™50โ€ 10 = - 0ยฐ00โ€™11โ€
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