I. Szkic i zestawienie danych do tematu |
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1. Wykaz współrzednych punktów. |
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Punkt |
X [m] |
Y [m] |
H [m] |
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A |
5404202,26 |
4555310,17 |
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B |
5404295,83 |
4554946,72 |
490,55 |
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2. Wykaz pomierzonych wielkości |
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- długości pomierzone przy nastawach ppm = 0 |
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DB-E = |
2120,346 |
[m] |
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DE-C = |
111,125 |
[m] |
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- kąty poziome |
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a = |
59,3254 |
[g] |
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θ = |
306,5546 |
[g] |
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- kąty zenitalne |
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ZB-E = |
100,9850 |
[g] |
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ZE-C = |
90,2925 |
[g] |
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- wysokości dalmierza i reflektora |
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iB = |
1,30 |
[m] |
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iE = |
1,55 |
[m] |
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iC = |
1,72 |
[m] |
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- stała dodawania dla zestawu dalmierz - reflektor |
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dr = |
26 |
[mm] |
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- temperatura, cisnienie i wilgotność podczas pomiarów |
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t = |
-6 |
[°C] |
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p = |
1022,0 |
[mb] |
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e = |
40 |
[mb] |
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- skala dalmierza |
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dk = |
1 |
[mm/km] |
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- wspołczynnik refrakcji, promień ziemi |
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k = |
0,13 |
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R = |
6370000 |
[m] |
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3. Typ dalmierza użytego do pomiarów - LEICA |
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A = |
282 |
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B = |
79,4 |
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II. Obliczenia redukcji pomierzonych długości |
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1. Poprawka atmosferyczna |
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[ppm] |
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DB-E = |
2 120,346 |
[m] |
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DE-C = |
111,125 |
[m] |
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datm = |
-20,07 |
[ppm] |
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Da = Dpom + datm* Dpom* 10-6 |
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DaB-E = |
2 120,303 |
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DaE-C = |
111,123 |
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2. Poprawka kalibracyjna. |
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Dk = Da + dk* Da + dr |
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DkB-E = |
2 120,332 |
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DkE-C = |
111,149 |
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3. Redukcja ze względu na różnicę wysokości dalmierza i reflektora oraz refrakcję i krzywiznę ziemi |
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63,66198 |
SB-E = |
2 120,088 |
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ZB-E = |
1,58626867053305 |
SE-C = |
109,859 |
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ZE-C = |
1,41831127329906 |
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4. Redukcja dugości na pozoim morza. |
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S0 = S · (1 - H/R) |
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S0 B-E = |
2119,924 |
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S0 E-C = |
109,851 |
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4. Redukcja na układ "1965" dla strefy I |
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a) Obliczenie azymutów. |
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AB-A =arctg(Dy/Dx) |
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AB-A = |
116,0414 |
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AB-A = |
1,8227738480928 |
AB-E = AB-A + a |
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AB-E = |
175,3668 |
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AB-E = |
2,75465505210173 |
AE-C = AB-E + 200 - θ |
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AE-C = |
68,8122 |
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AE-C = |
1,08089930935597 |
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b) Obliczenie współrzędnych punktów metodą biegunową |
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XE = XB +S0 B-E * cosAB-E |
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YE = YB + S0 B-E * sinAB-E |
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XE = |
5402332,634 |
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YE = |
4555746,682 |
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XC = XE + S0 E-C * cosAE-C |
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YC = YE + S0 E-C * sinAE-C |
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XC = |
5402384,323 |
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YC = |
4555843,613 |
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c) obliczenie współrzędnych środków boków |
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Xśr B-E = |
5403314,23191274 |
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Xśr E-C = |
5402358,47819421 |
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Xśr B-C = |
5403340,076 |
Yśr B-E = |
4555346,70116111 |
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Yśr E-C = |
4555795,14755265 |
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Yśr B-C = |
4555395,16639154 |
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d) obliczenie poprawki odwzorowawczej |
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DD65 = c[(A - Xśr)2 + (B - Yśr)2] + T |
[ppm] |
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c = |
6,13184706 * 10-3 |
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c = |
0,00613184706 |
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A = |
5467 |
[km] |
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B = |
4637 |
[km] |
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T = |
-200 |
[mm] |
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DDB-E = |
-134,247 |
[ppm] |
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DDE-C = |
-133,943 |
[ppm] |
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l = S0 + S0 * DD65 * 10-6 |
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lB-E = |
2119,640 |
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lE-C = |
109,836 |
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III. Obliczenie długości pomierzonej mimośrodowo. |
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1. Obliczenie współrzędnych punktów metodą biegunową po redukcji na układ "1965" |
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AB-A = |
116,0414 |
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AB-E = |
175,3668 |
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AE-C = |
68,8122 |
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XE = XB + lB-E * cosAB-E |
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YE = YB + lB-E * sinAB-E |
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XE = |
5402332,897 |
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YE = |
4555746,575 |
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XC = XE + lE-C * cosAE-C |
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YC = YE + lE-C * sinAE-C |
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XC = |
5402384,579 |
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YC = |
4555843,492 |
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2. Obliczenie długosci lB-C ze współrzednych |
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lB-C = |
2111,180 |
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3. Kontrola - obliczenie długosci lB-C z twierdzenia cosinusów |
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lB-E = |
2119,640 |
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b = 400 - θ = |
93,4454 |
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B = |
1,46783691068405 |
lE-C = |
109,836 |
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lB-C = |
2111,180 |
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Wykaz zredukowanych długości |
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i-j |
li-j [m] |
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B-E |
2119,640 |
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E-C |
109,836 |
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B-C |
2111,180 |
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