INSTYTUT GEODEZJI OLSZTYN 30.03.1999r.

SPRAWOZDANIE NR 3

TEMAT: METODA ŚREDNIEJ SZEROKOŚCI GAUSSA.

WYKONAŁA:

Izabela K. Kuszel

Dane:

B1 = 53° 32' 50'',5365 = (stopnie w systemie dziesiętnym) = 53,54737125

L1 = 20° 33' 39'',8431 = (stopnie w systemie dziesiętnym) = 20,56106753

B2 = 53° 45' 09'',0106 = (stopnie w systemie dziesiętnym) = 53,75250294

L2 = 20° 33' 42'',5744 = (stopnie w systemie dziesiętnym) = 20,56182622

B3 = 53° 45' 06'',5743 = (stopnie w systemie dziesiętnym) = 53,75182619

L3 = 20° 48' 54'',4213 = (stopnie w systemie dziesiętnym) = 20,81511703

B4 = 53° 32' 50'',8276 = (stopnie w systemie dziesiętnym) = 53,54745211

L4 = 20° 48' 38'',1722 = (stopnie w systemie dziesiętnym) = 20,81060339

a=6378245,00

e²=0,006693421623

(e')²=0,006738525415

1. Obliczam B:

ΔB = B₂ - B₁ = 0,20513169

ΔL = L₂ - L₁ = 0,00075869

B = = 53,6499371

2. Obliczam C, S, D:

C = = 6,15997E-11

S = = 1,13741E-10

D = = 1,2818E-05

3. Obliczam u i v':

u = = 22831,22989

v' = = 50,16900947

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,000611058

4. Obliczam S, Azymut:

S_1-2 = = 22831,28501

A = arctg = 0,125900702

A_1-2 = A - = 0,125595173

A_2-1 = A - ± 180° = 180,1262062

1. Obliczam B:

ΔB = B₃ - B₂ = -0,00067675

ΔL = L₃ - L₂ = 0,25329081

B = = 53,75216457

2. Obliczam C, S, D:

C = = 6,83249E-06

S = = 1,27106E-05

D = = 1,39512E-10

3. Obliczam u i v':

u = = -75,32364589

v' = = 16708,51036

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,204270782

4. Obliczam S, Azymut:

S_2-3 = = 16708,68015

A = arctg = 270,2582934

A_2-3 = A - = 270,156158

A_3-2 = A - ± 180° = 90,36042878

1. Obliczam B:

ΔB = B₄ - B₃ = -0,20437408

ΔL = L₄ - L₃ = -0,00451364

B = = 53,64963915

2. Obliczam C, S, D:

C = = 2,18027E-09

S = = 4,02569E-09

D = = 1,27235E-05

3. Obliczam u i v':

u = = -22746,90647

v' = = -298,470315

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = -0,003635326

4. Obliczam S, Azymut:

S_3-4 = = 22748,86456

A = arctg = 0,751755323

A_3-4 = A - = 0,753572986

A_4-3 = A - ± 180° = 180,7499377

1. Obliczam B:

ΔB = B₄ - B₁ = 8,086E-05

ΔL = L₄ - L₁ = 0,24953586

B = = 53,54741168

2. Obliczam C, S, D:

C = = 6,69613E-06

S = = 1,22718E-05

D = = 1,99169E-12

3. Obliczam u i v':

u = = 8,999572752

v' = = 16540,75064

ΔA = ΔL * sinB * [1 + C*(6) + D*(7)] = 0,200713981

4. Obliczam S, Azymut:

S_1-4 = = 16540,75309

A = arctg = 89,96882623

A_1-4 = A - = 89,86846924

A_4-1 = A - ± 180° = 270,0691832

Punkty	S	Azymuty
1,2	22831,285	A1-2 = 0° 07' 32'',14 A2-1 = 180° 07' 34'',34
2,3	16708,680	A2-3 = 270° 09' 22'',17 A3-2 = 90° 21' 37'',54
3,4	22748,864	A3-4 = 0° 45' 12'',86 A4-3 = 180° 44' 59'',78
1,4	16540,753	A1-4 = 89° 52' 06'',49 A4-1 = 270° 04' 09'',06

ZESTAWIENIE WYNIKÓW:

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