|
|
|
|
|
|
|
|
|
N |
21 |
M |
3 |
|
|
|
|
|
|
|
|
|
|
ρ" = |
1 |
|
|
|
° |
' |
" |
rad |
|
|
|
|
B1 |
53 |
36 |
39,515 |
0,935688053 |
|
|
|
|
L1 |
21 |
25 |
25,633 |
0,373915620 |
|
|
|
|
A1 |
23 |
52 |
6,9196 |
0,416585462 |
|
|
|
|
s 1-2 |
45092,926 |
|
|
|
|
|
|
|
a |
6378137,00 |
|
|
|
|
|
|
|
e² |
0,0066943800229 |
|
|
|
|
|
|
|
e'² |
0,00673949677548 |
|
|
|
|
|
|
|
|
|
|
|
|
zadanie wprost |
|
|
|
|
|
|
|
I intracja |
II intracja |
III intracja |
|
|
|
N1 = a/(√(1-e²sin²B1) = |
|
|
6392017,014 |
|
|
|
|
|
M1 = (a(1-e²))/(√(1-e²sin²B1)³) = |
|
|
6376890,688 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B2 prz = B1 +(ρ"/M1)*s*cosA1 = |
|
|
0,942154589 |
|
|
|
|
|
ΔL prz = L2 prz - L1 = (ρ"/N1)*s*sinA1*(1/cosB1) = |
|
|
0,004811618 |
|
|
|
|
|
A2 prz = A1+π+(ρ"/N1)*s*sinA1*tanB1 = |
|
|
3,562051504 |
|
|
|
|
|
L2 prz = L1+ΔL prz = |
|
|
0,378727238 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B = (B1+B2)/2 = |
|
|
0,938921321 |
0,938918486 |
0,938918455 |
|
|
|
b = B2-B1 = |
|
|
0,006466536 |
0,006460865 |
0,006460803 |
|
|
l=ΔL prz |
l = L2-L1 = |
|
|
0,004811618 |
0,004853985 |
0,004854203 |
|
|
|
η² = e'²*cos²B = |
|
|
0,002351261 |
0,002351279 |
0,002351279 |
|
|
|
t = tanB = |
|
|
1,366138063 |
1,366129937 |
1,366129849 |
|
|
|
v = √ (1+e'²*cos²B) = |
|
|
1,001174940 |
1,001174949 |
1,001174949 |
|
|
|
A = (A2 prz +A1-π)/2 = |
|
|
0,418522156 |
0,418543866 |
0,418543950 |
|
|
|
|
|
|
|
|
|
|
|
|
ΔФ = (1/24)*l²*cosB²*(2+3t²+2η²)-(1/8)*(b²/v^4)*η²*(1-t²+η²+4η²*t²) |
|
|
0,000002569349061 |
0,000002614591142 |
0,000002614824842 |
|
|
b= |
B2-B1 = (s/N)*v²*cosA*(1+ΔФ) |
|
|
0,006460865 |
0,006460803 |
0,006460803 |
|
|
|
ΔΛ = (1/24)*l²*sin²B-(1/24)*(b²/v4)*(1+η²-9η²t²) |
|
|
-0,0000010417 |
-0,0000010276 |
-0,0000010275 |
|
|
|
L2-L1 = (s/(NcosB))*sinA*(1+ΔΛ) |
|
|
0,0048539848 |
0,0048542030 |
0,0048542037 |
|
|
|
Δα = (1/12)*v²*l²*cos²B+(1/24)*(b²/v4)*(3+8η²+5η4) |
|
|
0,0000059099 |
0,0000059126 |
0,0000059126 |
|
|
|
A2-A1 = (L2-L1)*sinB*(1+Δα) |
|
|
0,0039168075 |
0,0039169755 |
0,0039169760 |
|
|
|
|
|
|
|
|
|
|
|
|
B2 = (B2-B1)+B1 z danych |
|
|
0,942148918 |
0,942148856 |
0,942148856 |
|
|
|
L2 = (L2-L1)+L1 z danych |
|
|
0,378769605 |
0,378769823 |
0,378769824 |
|
|
|
A2 = (A2-A1)+A1 z danych |
|
|
3,562094923 |
3,562095091 |
3,562095092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
zadanie odwrotne |
|
|
|
|
B = (B1+B2)/2 |
|
|
|
0,938918455 |
|
|
|
|
N = a/(√(1-e²sin²B)) |
|
|
|
6392083,252 |
|
|
|
|
M = (a(1-e²))/(√(1-e²sin²B)³) |
|
|
|
6377088,936 |
|
|
|
|
|
|
|
|
|
|
|
|
|
b = B2-B1 |
|
|
|
0,006460803 |
|
|
|
|
l = L2-L1 |
|
|
|
0,004854204 |
|
|
|
|
η² = e'²*cos²B |
|
|
|
0,002351279 |
|
|
|
|
t = tan B |
|
|
|
1,366129849 |
|
|
|
|
v = √(1+e'²cos²B) |
|
|
|
1,001174949 |
|
|
|
|
|
|
|
|
|
|
|
|
|
ΔФ = (1/24)*l²*cosB²*(2+3t²+2η²)-(1/8)*(b²/v^4)*η²*(1-t²+η²+4η²*t²) |
|
|
|
0,000002615 |
|
|
|
|
ΔΛ = (1/24)*l²*sin²B-(1/24)*(b²/v4)*(1+η²-9η²t²) |
|
|
|
-0,000001028 |
|
|
|
|
|
|
|
|
|
|
|
|
|
A = arc tan {[(l1-l2)/(B2-B1)]*[(1+ΔФ)/(1+ΔΛ)]*v²cosB} |
|
|
|
0,4185439758 |
|
|
|
|
s = ((B2-B1)*N)/(v²*(1+ΔФ)*cosA) = ((L2-L1)*N*cosB)/((1+ΔΛ)*sinA) |
|
|
|
45093,394 |
45093,394 |
|
|
|
Δα = (1/12)*v²*l²*cos²B+(1/24)*(b²/v4)*(3+8η²+5η4) |
|
|
|
0,0000059126 |
|
|
|
|
A2-A1 = (L2-L1)*sinB*(1+Δα) |
|
|
|
0,0039169762 |
|
|
|
|
A1 = A - 1/2 *(A2-A1) |
|
|
|
-1,1542108392 |
|
|
|
|
A2 = A + 1/2 *(A2-A1) |
|
|
|
1,9912987908 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|