Triangulation Sample

42
STA Deg Min Sec Corr 1 Deg Min Sec Corr 2 Deg Min a 23 30 10 -38 23 30 -28 113-56-18 1 45 30 b 32 11 40 -38 32 11 2 66-03-45 -2 42 11 c 77 55 0 -38 77 55 -38 -2 41 54 d 29 24 0 -38 29 24 -38 113-56-20 -1 62 40 e 40 33 7 -38 40 33 -31 0 33 12 f 66 43 7 -38 66 43 -31 66-03-37 2 28 5 g 43 21 27 -38 43 21 -11 2 56 0 h 46 26 33 -38 46 26 -5 0 50 22 360 5 4 -38 360 5 -34

Transcript of Triangulation Sample

Page 1: Triangulation  Sample

STA Deg Min Sec Corr 1 Deg Min Sec Corr 2 Deg Min Sec

a 23 30 10 -38 23 30 -28 113-56-18 1#########

b 32 11 40 -38 32 11 2 66-03-45 -2#########

c 77 55 0 -38 77 55 -38 -2#########

d 29 24 0 -38 29 24 -38 113-56-20 -1#########

e 40 33 7 -38 40 33 -31 0#########

f 66 43 7 -38 66 43 -31 66-03-37 2###5###

g 43 21 27 -38 43 21 -11 2###0###

h 46 26 33 -38 46 26 -5 0#########

360 5 4 -38 360 5 -34

a

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a b c d Diff 1 3rd Adj

9.8533517 9.8533538 -20.7 -20.7 -1 529.8271376 9.8271399 -23.2 -23.2 1 399.8247591 9.8247614 -23.5 -23.5 -1 389.9486408 9.9486419 -10.9 -10.9 1 539.7385983 9.7386015 -32.2 -32.2 -1 509.6729057 9.6729096 -39.4 -39.4 1 299.9186438 9.9186452 -14.2 -14.2 -1 489.8866581 9.8866599 -17.4 -17.4 1 51

9.3353529 9.3353422 b -181.5

107.2 a/b -0.6 -1.0 02

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a b

-1 38 44 9 113-56-18 0 38 44 9 9.79638741 -26.2 2.65 38 44 12

-1 23 44 39 66-03-45 -2 23 44 37 9.6049219044 -47.9 -2.65 23 44 34

-1 42 19 -1 -2 42 19 -3 9.828154997 -23.1 2.65 42 19 0

-1 44 52 -1 113-56-20 0 44 52 -1 9.8484698821 -21.2 -2.65 44 52 -4

-1 69 4 6 -1 69 4 5 9.970349403 -8.1 2.65 69 4 8

-1 39 37 6 66-03-37 2 39 37 8 9.8046014155 -25.4 -2.65 39 37 5

-1 26 25 26 2 26 25 28 9.648376877 -42.4 2.65 26 25 31

-1 75 12 32 1 75 12 33 9.9853655 -5.6 -2.65 75 12 30

9.243268686 9.243358702 -199.8

a -900.2 4.51 5

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9.796394365

9.60490922

9.828161125

9.848464276

9.970351538

9.804594675

9.648388104

9.985364027

9.243295132 9.243332198

-370.7

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STAAngle

Corr_1Figure Adjust Angle (1st)

Deg Min Sec Dec Corr Corr_Dec Deg Min Sec Dec1 60 9 6 60.15 -0.000833 -3 60.15083 60 9 3.00 97.652 37 30 0 37.50 -0.000833 -3 37.49917 37 29 57.003 46 18 11 46.30 -0.000833 -3 46.30222 46 18 8.00 82.354 36 2 56 36.05 -0.000833 -3 36.04806 36 2 53.005 37 20 30 37.34 -0.000833 -3 37.34083 37 20 27.00 97.6486 60 18 28 60.31 -0.000833 -3 60.30694 60 18 25.007 36 10 48 36.18 -0.000833 -3 36.17917 36 10 45.00 82.3528 46 10 25 46.17 -0.000833 -3 46.17278 46 10 22.00

360.01 360 0 24.00 3600.00

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Corr_2Figure Adjust Angle (2nd)

Deg Min Sec Corr_2 Corr_Dec_2 Deg Min97 39 0.00 -0.000556 -2 60.15027778 60 9

-0.000556 -2 37.49861111 37 2982 21 1.00 0.000417 1.5 46.30263889 46 18

0.000417 1.5 36.04847222 36 297 38 52.00 0.000556 2 37.34138889 37 20

0.000556 2 60.3075 60 1882 21 7.00 -0.000417 -1.5 36.17875 36 10

-0.000417 -1.5 46.17236111 46 10360 360 0

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Figure Adjust Angle (2nd) Log Sin AngleDiff_1Sec Corr_3

Sec a b c d Corr_3 Corr_Dec_31.00 9.938186 9.938259 72 -0.000940 -3.38 60.149338

55.00 9.784433 9.784598 165 0.000940 3.38 37.4995519.50 9.859138 9.859258 121 -0.000940 -3.38 46.301699

54.50 9.769724 9.769897 174 0.000940 3.38 36.04941229.00 9.782876 9.783041 166 -0.000940 -3.38 37.34044927.00 9.938868 9.938940 72 0.000940 3.38 60.30844043.50 9.771077 9.771250 173 -0.000940 -3.38 36.17781020.50 9.858192 9.858313 121 0.000940 3.38 46.173301

0.00 9.351277 9.351217 9.351809 9.351749 1063 360.00000060

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Final Adjust Angle Check Log Sin AnlgleDeg Min Sec Check_a Check_b

60 8 57.62 9.93818237 29 58.38 9.78444346 18 6.12 9.85913136 2 57.88 9.76973437 20 25.62 9.78286660 18 30.38 9.93887236 10 40.12 9.77106846 10 23.88 9.858199

360 0 0.00 9.351247 9.351247

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STA Deg Min Sec Dec Corr Corr_Dec Corr_2 Corr_Dec_2 a1 47 14 10 47.236111 0.002014 47.238125 96.781528 -0.004583 47.233542 9.8657712 49 32 29 49.541389 0.002014 49.543403 -0.004583 49.5388193 41 43 10 41.719444 0.002014 41.721458 83.225417 0.001111 41.722569 9.8231644 41 30 7 41.501944 0.002014 41.503958 0.001111 41.5050695 47 17 30 47.291667 0.002014 47.293681 96.763194 0.004583 47.298264 9.8662256 49 28 3 49.467500 0.002014 49.469514 0.004583 49.4740977 43 16 43 43.278611 0.002014 43.280625 83.229861 -0.001111 43.279514 9.8360448 39 56 50 39.947222 0.002014 39.949236 -0.001111 39.948125

359.983889 360.000000 360.000000 9.391204-0.0020139 124

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b c d Diff_1,min Corr_3 Corr_Dec_3 Check_a Check_b Deg Min9.865888 116.812537 -0.002023 47.231519 9.865757 47 13

9.881297 9.881404 107.717312 0.002023 49.540843 9.881310 49 329.823306 141.637091 -0.002023 41.720546 9.823147 41 43

9.821308 9.821451 142.724097 0.002023 41.507093 9.821325 41 309.866341 116.548096 -0.002023 47.296241 9.866211 47 17

9.880878 9.880986 107.964006 0.002023 49.476120 9.880891 49 289.836178 134.116338 -0.002023 43.277491 9.836028 43 16

9.807598 9.807749 150.788166 0.002023 39.950148 9.807617 39 579.391081 9.391714 9.391590 1018.307643 -0.002023 359.997977 9.391143 9.391143

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Sec53271426463439

1

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STAAngle Figure Adjust Angle (1st) Figure Adjustment Check

Deg Min Sec Deg Min Sec Deg1 60 9 6 -3 60 9 3.00 972 37 30 0 -3 37 29 57.003 46 18 11 -3 46 18 8.00 824 36 2 56 -3 36 2 53.005 37 20 30 -3 37 20 27.00 976 60 18 28 -3 60 18 25.007 36 10 48 -3 36 10 45.00 828 46 10 25 -3 46 10 22.00

Sum 360 0 24.00 -24 360 0 0.00

Corr_1 (Sec)

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Figure Adjustment Check Figure Adjust Angle (2nd) Log Sin AngleMin Sec Deg Min Sec a b c39 0.00 -2 60 9 1.00 9.938186 9.938259

-2 37 29 55.00 9.78443321 1.00 1.5 46 18 9.50 9.859138 9.859258

1.5 36 2 54.50 9.76972438 52.00 2 37 20 29.00 9.782876 9.783041

2 60 18 27.00 9.93886821 7.00 -1.5 36 10 43.50 9.771077 9.771250

-1.5 46 10 20.50 9.858192360 0 0.00 9.351277 9.351217 9.351809

9.35121760

Corr_2 (Sec)

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Log Sin AngleDiff 1'

Final Adjust Angle Check Log Sin Anlgled Deg Min Sec Check_a Check_b

72 -3.38 60 8 57.62 9.9381829.784598 165 3.38 37 29 58.38 9.784443

121 -3.38 46 18 6.12 9.8591319.769897 174 3.38 36 2 57.88 9.769734

166 -3.38 37 20 25.62 9.7828669.938940 72 3.38 60 18 30.38 9.938872

173 -3.38 36 10 40.12 9.7710689.858313 121 3.38 46 10 23.88 9.8581999.351749 1063 360 0 0.00 9.351247 9.351247

Corr_3 (Sec)

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STA Deg Min Sec Dec Corr Corr_Dec Corr_2a 38 44 6 38.735000 -0.000278 38.734722 113.938333 0.000139b 23 44 38 23.743889 -0.000278 23.743611 0.000139c 42 19 9 42.319167 -0.000278 42.318889 66.062500 -0.000556d 44 52 1 44.866944 -0.000278 44.866667 -0.000556e 69 4 21 69.072500 -0.000278 69.072222 113.938889 -0.000139f 39 37 48 39.630000 -0.000278 39.629722 -0.000139g 26 25 51 26.430833 -0.000278 26.430556 66.060278 0.000556h 75 12 14 75.203889 -0.000278 75.203611 0.000556

360.002222 360.0000000.0002777778

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Corr_Dec_2 a b c d Diff_1,min Corr_3 Corr_Dec_3 Check_a38.734861 9.796378 9.796536 157.443652 0.000740 38.735601 9.79638523.743750 9.604924 9.605211 287.081060 -0.000740 23.74301042.318333 9.828176 9.828315 138.706372 0.000740 42.319073 9.82818244.866111 9.848468 9.848595 126.886036 -0.000740 44.86537169.072083 9.970361 9.970409 48.290655 0.000740 69.072823 9.97036339.629583 9.804699 9.804852 152.502527 -0.000740 39.62884326.431111 9.648479 9.648733 254.053145 0.000740 26.431851 9.64849075.204167 9.985355 9.985389 33.348645 -0.000740 75.203427

360.000000 9.243394 9.243447 9.243992 9.244047 1198.312093 0.000740 360.000740 9.243420-53

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Check_b Deg Min Sec38 44 8

9.604912 23 44 3542 19 9

9.848462 44 51 5569 4 22

9.804693 39 37 4426 25 55

9.985354 75 12 129.243420

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STA Deg Min Sec Dec Corr Corr_Dec Corr_2a 38 44 6 38.735000 -0.000278 38.734722 113.938333 0.000139b 23 44 38 23.743889 -0.000278 23.743611 0.000139c 42 19 9 42.319167 -0.000278 42.318889 66.062500 -0.000556d 44 52 1 44.866944 -0.000278 44.866667 -0.000556e 69 4 21 69.072500 -0.000278 69.072222 113.938889 -0.000139f 39 37 48 39.630000 -0.000278 39.629722 -0.000139g 26 25 51 26.430833 -0.000278 26.430556 66.060278 0.000556h 75 12 14 75.203889 -0.000278 75.203611 0.000556

360.002222 360.0000000.0002777778

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Corr_Dec_2 a b c d Diff_1,min Corr_3 Corr_Dec_3 Check_a38.734861 9.796378 9.796381 2.624830 0.000740 38.735601 9.79638523.743750 9.604924 9.604929 4.786541 -0.000740 23.74301042.318333 9.828176 9.828178 2.312437 0.000740 42.319073 9.82818244.866111 9.848468 9.848470 2.115372 -0.000740 44.86537169.072083 9.970361 9.970362 0.805189 0.000740 69.072823 9.97036339.629583 9.804699 9.804702 2.542449 -0.000740 39.62884326.431111 9.648479 9.648483 4.235738 0.000740 26.431851 9.64849075.204167 9.985355 9.985356 0.556133 -0.000740 75.203427

360.000000 9.243394 9.243447 9.243404 9.243457 19.978689 0.000740 360.000740 9.243420-53

-0.000053-0.000010-0.000010-0.000020

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Check_b Deg Min Sec38 44 8.2

9.604912 23 44 34.842 19 8.7

9.848462 44 51 55.369 4 22.2

9.804693 39 37 43.826 25 54.7

9.985354 75 12 12.39.243420

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STA Deg Min Sec Dec Corr Corr_Dec Corr_21 38 44 6 38.735000 -0.000278 38.734722 62.478333 11.5559032 23 44 38 23.743889 -0.000278 23.743611 11.5559033 42 19 9 42.319167 -0.000278 42.318889 87.185556 3.6121534 44 52 1 44.866944 -0.000278 44.866667 3.6121535 69 4 21 69.072500 -0.000278 69.072222 108.701944 -11.5559036 39 37 48 39.630000 -0.000278 39.629722 -11.5559037 26 25 51 26.430833 -0.000278 26.430556 101.634167 -3.6121538 75 12 14 75.203889 -0.000278 75.203611 -3.612153

360.002222 360.0000000.0002777778

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Corr_Dec_2 a b c d Diff_1,min Corr_3 Corr_Dec_3 Check_a50.290625 9.886093 9.886095 1.748609 0.406759 50.697384 9.88863535.299514 9.761816 9.761819 2.973769 -0.406759 34.89275545.931042 9.856429 9.856431 2.038169 0.406759 46.337801 9.85939248.478819 9.874314 9.874316 1.864185 -0.406759 48.07206057.516319 9.926108 9.926109 1.340513 0.406759 57.923079 9.92805628.073819 9.672660 9.672664 3.947604 -0.406759 27.66706022.818403 9.588621 9.588626 5.004298 0.406759 23.225162 9.59587771.591458 9.977188 9.977189 0.700756 -0.406759 71.184699

360.000000 9.257250 9.285978 9.257261 9.285987 19.617904 0.406759 360.406759 9.271960-28727

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Check_b Deg Min Sec50 41 50.58

9.757428 34 53 33.9246 20 16.08

9.871565 48 4 19.4257 55 23.08

9.666830 27 40 1.4223 13 30.58

9.976150 71 11 4.929.271972

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STA Deg Min Sec a b

a 38 44 6 -1 38 44 5 113-56-18 0 38 44 5 9.79637691 -26.2 2.65

b 23 44 38 -1 23 44 37 66-03-45 -2 23 44 35 9.6049123311 -47.9 -2.65

c 42 19 9 -1 42 19 8 -2 42 19 6 9.82817581 -23.1 2.65

d 44 52 1 -1 44 52 0 113-56-20 0 44 52 0 9.8484719975 -21.2 -2.65

e 69 4 21 -1 69 4 20 -1 69 4 19 9.970360677 -8.1 2.65

f 39 37 48 -1 39 37 47 66-03-37 2 39 37 49 9.8047056749 -25.4 -2.65

g 26 25 51 -1 26 25 50 2 26 25 52 9.64847855 -42.4 2.65

h 75 12 14 -1 75 12 13 1 75 12 14 9.9853549351 -5.6 -2.65

360 0 8 9.243391947 9.2434449386 -199.8

a -529.9 2.65 3

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38 44 8 9.796383866

23 44 32 9.604899646

42 19 9 9.828181938

44 52 -3 9.848466392

69 4 22 9.970362811

39 37 46 9.804698937

26 25 55 9.648489774

75 12 11 9.985353461

9.243418389 9.243418437

-0.5

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Geometric Condition

Observed 1st Adjusted

Angle DegMinSec DegMin

a045-30-5545######-1 45###### #########b042-11-3942######-1 42###### ###6###c041-54-4041######-1 41######

d062-40-5362######-2######### #########

e033-12-5133######-1#########

f028-05-3028 5###-1 28 5### ###6###g056-00-5056 0###-1 56 0###h050-22-5150######-1 50######

###0 9 ###0 0

Angle

Corr_1

(Sec)

1st Adjusted

Sec

Angle

Sum

Page 27: Triangulation  Sample

Geometric Condition Trigonometric Condition

2nd Adjusted Log Sin Angle

a b c

-1###30 53 ###0###11 380###54 39 ###

1###40 52

1###12 51

-1###5 280###0 490###22 50

Corr_2

(Sec)

Page 28: Triangulation  Sample

Trigonometric Condition

Log Sin Angle

d

Diff 1'

Corr_3

(Sec)

3rd AdjustedAngl

e

Page 29: Triangulation  Sample

1

2

3

4

5

6

7

8

Sum

Angle Obse

rvedAngle

Page 30: Triangulation  Sample

AngleComputed Angle

Geometric Correction

12345678S

1st Angle Correction

1st Adjust

ed Angle

Opposite Angle Check

2nd Angle Correction

2nd Adjusted Angle

Page 31: Triangulation  Sample

AngleLog Sin Angle

Diff 1"a b c d

1

2

3

4

5

6

7

8S

3rd Angle Correction

3rd Adjusted Angle

Page 32: Triangulation  Sample

Theodolite at STA. A at Engineering Building

Latitude 16-28-27 N Error on watch time = -20 sec

Mean Mean TimeL R

A L -98 3.5 2.5

L 2 ### 4.5 1.5

R 0.5 2.5

R 2 4

กล้�องT2 ความไวหล้อดระด�บ = 20"/ขี�ด

Febuary 18th, 1997, Temperature = 104o F, Pressure 28.7 in.Hg

Sta.

Obj.

Face

Hor.Cir.Rdg

Ver.Cir.Rdg

Plate bubbleHor.Cir

.Rdg Ver.Cir.

Rdg h m

sAvg. Time

R.O.

00-00-00

00-00-13.0

104-51-35.0Su

n110-31-

50.5

109-51-01.4

32-33-09.1

14-02-33.0Su

n289-10-

12.2

327-08-25.0

14-04-10.0

R.O.

180-00-16.0

255-08-29.0

Page 33: Triangulation  Sample

STA

Angle 1st Adjusted Angle

Deg Min Sec Deg Min Sec

a 45 30 55 -1 45 30 54b 42 11 39 -1 42 11 38c 41 54 40 -1 41 54 39d 62 40 53 -2 62 40 51e 33 12 51 -1 33 12 50f 28 5 30 -1 28 5 29g 56 0 50 -1 56 0 49h 50 22 51 -1 50 22 50

360 0 9 360 0 0

1st Correction

Sum

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Opposite2nd Adjusted Angle Log Sin Angle

Deg Min Sec a b95-53-44 -1 45 30 53 9.8533517

84-06-17 1 42 11 39 9.8271399

0 41 54 39 9.8247591

95-53-41 1 62 40 52 9.9486408

0 33 12 50 9.7385951

84-06-18 0 28 5 29 9.6729096

0 56 0 49 9.9186438

-1 50 22 49 9.8866564

0 ### 0 0 39.3353497 39.3353467

a 29.8

2nd Correctio

n

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Log Sin Angle 2nd Adjusted Angle

c d Diff 1"ค�าแก�Deg Min Sec9.8533538 20.7 -0.2 45 30 52.836

9.8271376 23.2 0.2 42 11 39.164

9.8247614 23.5 -0.2 41 54 38.836

9.9486397 10.9 0.2 62 40 52.164

9.7385983 32.2 -0.2 33 12 49.836

9.6729057 39.4 0.2 28 5 29.164

9.9186452 14.2 -0.2 56 0 48.836

9.8866547 17.4 0.2 50 22 49.164

b 181.5 ### 0 0a/b 0.16

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a b9.8533513

9.8271403

9.8247587

9.9486410

9.7385946

9.6729102

9.9186436

9.8866567

39.3353482 39.3353482

0.0