INSTYTUT GEODEZJI OLSZTYN 30.03.1999r.

SPRAWOZDANIE NR 3

TEMAT: METODA ŚREDNIEJ SZEROKOŚCI GAUSSA.

WYKONAŁ:

Marcin L. Czajkowski

Dane:

B1 = 53° 30' 24'',6660 = (stopnie w systemie dziesiętnym) = 53,50685167

L1 = 20° 30' 57'',0796 = (stopnie w systemie dziesiętnym) = 20,51585544

B2 = 53° 42' 32'',4144 = (stopnie w systemie dziesiętnym) = 53,709004

L2 = 20° 30' 59'',5427 = (stopnie w systemie dziesiętnym) = 20,51653964

B3 = 53° 42' 36'',9498 = (stopnie w systemie dziesiętnym) = 53,71026383

L3 = 20° 46' 04'',4179 = (stopnie w systemie dziesiętnym) = 20,76789386

B4 = 53° 30' 23'',3483 = (stopnie w systemie dziesiętnym) = 53,50648564

L4 = 20° 45' 52'',9953 = (stopnie w systemie dziesiętnym) = 20,76472092

a=6378245,00

e²=0,006693421623

(e')²=0,006738525415

1. Obliczam B:

ΔB = B₂ - B₁ = 0,20215233

ΔL = L₂ - L₁ = 0,0006842

B = = 53,60792784

2. Obliczam C, S, D:

C = = 5,01973E-11

S = = 9,24031E-11

D = = 1,24484E-05

3. Obliczam u i v':

u = = 22499,4672

v' = = 45,28825275

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,000550765

4. Obliczam S, Azymut:

S_1-2 = = 22499,51278

A = arctg = 0,115328164

A_1-2 = A - = 0,115052781

A_2-1 = A - ± 180° = 180,1156035

1. Obliczam B:

ΔB = B₃ - B₂ = 0,00125983

ΔL = L₃ - L₂ = 0,25135422

B = = 53,70963392

2. Obliczam C, S, D:

C = = 6,74203E-06

S = = 1,25034E-05

D = = 4,8348E-10

3. Obliczam u i v':

u = = 140,2206345

v' = = 16597,50507

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,202598607

4. Obliczam S, Azymut:

S_2-3 = = 16598,09737

A = arctg = 89,51595981

A_2-3 = A - = 89,41466051

A_3-2 = A - ± 180° = 269,6172591

1. Obliczam B:

ΔB = B₄ - B₃ = -0,20377819

ΔL = L₄ - L₃ = -0,00317294

B = = 53,60837474

2. Obliczam C, S, D:

C = = 1,07952E-09

S = = 1,98723E-09

D = = 1,26494E-05

3. Obliczam u i v':

u = = -22680,42642

v' = = -210,0195743

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = -0,002554159

4. Obliczam S, Azymut:

S_3-4 = = 22681,39878

A = arctg = 0,530540788

A_3-4 = A - = 0,531817867

A_4-3 = A - ± 180° = 180,5292637

1. Obliczam B:

ΔB = B₄ - B₁ = -0,00036603

ΔL = L₄ - L₁ = 0,24886548

B = = 53,50666866

2. Obliczam C, S, D:

C = = 6,67302E-06

S = = 1,21932E-05

D = = 4,0812E-11

3. Obliczam u i v':

u = = -40,73820271

v' = = 16512,1523

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,200069563

4. Obliczam S, Azymut:

S_1-4 = = 16512,20255

A = arctg = 270,1413578

A_1-4 = A - = 270,0413231

A_4-1 = A - ± 180° = 90,24139263

Punkty	S	Azymuty
1,2	22499,513	A1-2 = 0° 06' 54'',19 ; A2-1 = 180° 06' 56'',17
2,3	16598,097	A2-3 = 89° 24' 52'',78 A3-2 = 269° 37' 02'',13
3,4	22681,399	A3-4 = 0° 31' 54'',54 A4-3 = 180° 31' 45'',35
1,4	16512,202	A1-4 = 270° 02' 28'',76 A4-1 = 90° 14' 29'',01

ZESTAWIENIE WYNIKÓW:

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