152KGD Kosmická geodézie - úloha1
Zadání:
Určete roční změnu přímé spojnice dvou bodů ležících na různých tektonických deskách. Předpokládejte, že se tyto litosférické desky pohybují pouze horizontálním rotačním pohybem. Vektor úhlové rotace jednotlivých desek určete na základě známých vektorů rychlosti posunu na stanicích ležících na téže desce.
Jmenné zadání:
| Jméno | Čísla bodů 1.desky | Čísla bodů 2.desky | |
|---|---|---|---|
| Bartůněk | Af2, Af5, Af13, Af18, Af16 | E1, E2, E4, E10, E30, E25 | |
| Boháč | Au1 , Au2 , Au3 , Au4 , Au7 | S1 , S2 , S3 , S4 , S7 , S10 | |
| Dífková | P9, P11, P14, P17, P21, P19 | Af1 , Af2 , Af3 , Af4, Af8 | |
| Dvořáková | Af1 , Af2 , Af4 , Af6, Af16 | E3 , E12 , E15 , E27 , E28, E20 | |
| Fencl | Af5 , Af6 , Af7 , Af8, Af9 | E1, E2 , E4 , E10, E12, E17 | |
| Gubaniová | An1 , An2 , An3 , An4, An10 | E3 , E14 , E17 , E20 , E22, E15 | |
| Kloučková | An5 , An6 , An8 , An9, An7 | Af1 , Af3 , Af7 , Af11, Af4 | |
| Konfršt | E12 , E17 , E25 , E27 , E28, E30 | P1, P3, P4, P6, P19, P7 | |
| Kuba | Af1 , Af2 , Af13 , Af16, Af8 | E4 , E12 , E14 , E22 , E30, E25 | |
| Lavička P. | S1 , S2 , S4 , S6 , S10 , S8 | P1, P4, P6, P31, P19 | |
| Lavička Z. | An2 , An5 , An9 , An10, An1 | S1 , S3 , S5 , S7 , S9 , S10 | |
| Michal | Af5 , Af7 , Af9 , Af16, Af4 | An1 , An2 , An7 , An8, An4 | |
| Motyčka | Af3 , Af4 , Af8 , Af9, Af13 | E1 , E3 , E15 , E22 , E25, E30 | |
| Novotná | An3 , An4 , An6 , An10, An7 | Af2 , Af4 , Af11 , Af13, Af18 | |
| Opat | P3, P14, P19, P30,P31, P17 | Af3 , Af5 , Af7 , Af16, Af8 | |
| Ouřada | Au5 , Au6 , Au7 , Au8 , Au1 | Af2 , Af8 , Af16 , Af18, Af4 | |
| Paštéková | An1 , An3 , An8 , An10, An9 | Af1 , Af3 , Af6 , Af7, Af9 | |
| Pešková | Au2 , Au3 , Au7 , Au9 , Au4 | Af2 , Af9 , Af13 , Af18, Af8 | |
| Poesová | P6, P14, P17, P21, P30, P7 | Af1 , Af6 , Af7 , Af8, Af11 | |
| Prokopová | N1, N3, N5, N7, N19, N17 | P1, P3, P7, P30, P31, P17 | |
| Sadecký | N6, N15, N18, N23, N24, N13 | Af5 , Af6 , Af11 , Af18, Af9 | |
| Šafránek | E1 , E10 , E15 , E20 , E30, E17 | P11, P17, P19, P21, P31, P7 | |
| Toušek | An2 , An4 , An6 , An9, An7 | Af6 , Af7 , Af9 , Af18, Af4 | |
| Vochová | N2, N7, N18, N19, N25, N17 | E3 , E5 , E20 , E22 , E28, E30 | |
| Voříšek | Au3 , Au5 , Au8 , Au9 , Au7 | E2 , E4 , E14 , E15 , E17, E25 | |
| Vosyka | P4, P9, P19, P31, P11 | N5, N6, N15, N25, N13 | |
| Vaverka | E1, E12, E14, E28, E30 | Au1, Au6, Au7, Au8, Au9 | |
| N1, N2, N13, N23, N7 | An3, An5, An7, An9, An10 |
Souřadnice stanic:
| Číslo bodu | X | Y | Z | vx | vy | vz |
|---|---|---|---|---|---|---|
| [m] | [m] | [m] | [m/rok] | [m/rok] | [m/rok] | |
| N1 | 1107623.504 | -4347253.857 | 4518738.205 | -0.021 | 0.006 | -0.004 |
| N2 | -3997895.263 | 3276581.277 | 3724118.220 | -0.001 | 0.002 | -0.013 |
| N3 | -3425462.014 | -1214669.103 | 5223858.170 | -0.020 | 0.002 | -0.012 |
| N5 | -3957199.232 | 3310199.672 | 3737711.700 | -0.001 | 0.0023 | -0.012 |
| N6 | 2612631.240 | -3426807.018 | 4686757.797 | -0.017 | -0.003 | 0.006 |
| N7 | -2327188.109 | -3522529.016 | 4764832.376 | -0.010 | -0.004 | -0.004 |
| N13 | -2356494.167 | -4646607.648 | 3668426.617 | -0.014 | 0.004 | -0.004 |
| N15 | -2517230.998 | -4198595.166 | 4076531.255 | -0.020 | 0.007 | -0.005 |
| N17 | -1923992.768 | -4850854.648 | 3658589.345 | -0.018 | -0.014 | 0.001 |
| N18 | -236438.698 | -3307616.783 | 5430049.171 | -0.019 | -0.001 | -0.003 |
| N19 | -2084258.000 | -3313872.985 | 5019853.101 | -0.018 | -0.004 | -0.004 |
| N23 | -1640916.785 | -5014781.200 | 3575447.139 | -0.013 | -0.003 | -0.008 |
| N24 | -2443215.363 | -4706037.511 | 3533477.628 | -0.026 | 0.020 | 0.012 |
| N25 | -2507798.441 | -4676370.038 | 3526890.659 | -0.027 | 0.030 | 0.015 |
| Au1 | -4446470.656 | 3678101.947 | -3696274.114 | -0.037 | -0.005 | 0.048 |
| Au2 | -2389003.943 | 5043340.608 | -3078513.083 | -0.050 | 0.006 | 0.049 |
| Au3 | -5288462.907 | 3410034.488 | -1038802.601 | -0.013 | -0.018 | 0.041 |
| Au4 | -741950.004 | 6190961.634 | -1337768.594 | -0.042 | 0.008 | 0.054 |
| Au5 | -5105681.020 | 461564.046 | -3782181.767 | -0.025 | -0.019 | 0.032 |
| Au6 | -2368686.972 | 4881316.520 | -3341796.170 | -0.051 | 0.008 | 0.048 |
| Au7 | -4460996.134 | 2682557.080 | -3674443.702 | -0.037 | -0.005 | 0.048 |
| Au8 | -3950071.365 | 2522415.187 | -4311638.367 | -0.041 | 0.005 | 0.042 |
| Au9 | -3464038.503 | 1334172.762 | -5169224.328 | -0.023 | 0.010 | 0.017 |
| Af1 | 5084641.525 | 2670349.942 | -2768497.868 | 0.001 | 0.019 | 0.016 |
| Af2 | 6104828.435 | -605837.464 | -1740706.361 | 0.017 | 0.013 | 0.037 |
| Af3 | 4221385.103 | -2549305.709 | 4031509.438 | -0.047 | 0.002 | 0.039 |
| Af4 | 5992632.027 | 775892.325 | 2035862.615 | -0.016 | 0.012 | 0.026 |
| Af5 | 3602870.770 | 5238174.333 | -516275.526 | -0.014 | 0.014 | 0.014 |
| Af6 | 4443965.778 | 3121945.343 | 3334693.829 | -0.029 | 0.014 | 0.018 |
| Af7 | 4552174.608 | -2186664.682 | 3882779.801 | -0.002 | 0.017 | 0.014 |
| Af8 | 6287388.576 | 1071574.280 | 39147.203 | -0.002 | 0.022 | 0.030 |
| Af9 | 4583119.424 | 4250952.194 | 1266247.694 | -0.009 | 0.022 | 0.015 |
| Af11 | 4934528.888 | 1321133.371 | 3806522.725 | -0.016 | 0.019 | 0.016 |
| Af13 | 4865366.492 | 4110737.456 | -331121.726 | -0.011 | 0.018 | 0.013 |
| Af16 | 5886437.383 | -1848461.534 | 1611441.844 | 0.001 | 0.009 | 0.037 |
| Af18 | 4728283.350 | 2879670.437 | 3156894.718 | -0.029 | 0.015 | 0.016 |
| An1 | 1766498.945 | 1460274.416 | -5932211.697 | 0.015 | -0.002 | 0.002 |
| An2 | 909378.219 | -2264934.504 | -5872956.865 | 0.025 | 0.002 | 0.009 |
| An3 | 1086061.543 | 4927963.013 | -3887828.277 | -0.011 | -0.006 | -0.001 |
| An4 | -1941059.579 | 1628659.353 | -5833613.495 | 0.020 | -0.006 | -0.002 |
| An5 | -5739993.699 | 1387548.343 | -2402085.312 | -0.010 | -0.017 | 0.037 |
| An6 | -1310695.203 | 310468.793 | -6213363.554 | 0.001 | -0.018 | -0.029 |
| An7 | 1525872.478 | -2432481.299 | -5676146.095 | 0.018 | 0.001 | 0.003 |
| An8 | 1405826.342 | 3918281.678 | -4816204.145 | 0.000 | -0.001 | -0.010 |
| An9 | 486854.548 | 2285099.304 | -5914955.697 | 0.004 | -0.011 | -0.005 |
| An10 | -901776.164 | 2409383.423 | -5816748.437 | -0.001 | -0.010 | -0.019 |
| P1 | -5543974.638 | -2054589.905 | 2387488.164 | -0.008 | 0.062 | 0.030 |
| P2 | -5075278.498 | 3565110.795 | 1483590.918 | 0.007 | 0.007 | 0.004 |
| P3 | -4590670.919 | -275483.000 | -4404596.788 | -0.024 | 0.014 | 0.025 |
| P4 | -5246579.824 | -3076973.090 | -1913777.115 | -0.042 | 0.043 | 0.029 |
| P6 | -6160881.011 | 1339882.965 | 960810.459 | 0.024 | 0.069 | 0.030 |
| P7 | -5227446.489 | 2551379.696 | 2607604.983 | 0.040 | 0.058 | 0.023 |
| P9 | -2533219.937 | -4631543.812 | 3568400.453 | -0.029 | 0.014 | 0.019 |
| P11 | -2540621.950 | -4682555.611 | 3495319.213 | -0.028 | 0.021 | 0.019 |
| P14 | -2428826.113 | -4799750.273 | 3417272.849 | -0.028 | 0.024 | 0.014 |
| P15 | -1997242.136 | -5528041.092 | 2468355.411 | -0.042 | 0.019 | 0.012 |
| P17 | -2529744.282 | -1942091.087 | 5505028.100 | -0.015 | 0.024 | 0.012 |
| P19 | -2335601.361 | -4832243.875 | 3434392.774 | -0.031 | 0.025 | 0.019 |
| P21 | -6195393.716 | -413727.903 | -1454075.319 | -0.003 | 0.077 | 0.025 |
| P30 | -5245195.335 | -3080472.189 | -1912825.385 | -0.042 | 0.043 | 0.029 |
| P31 | -5345865.691 | -2958246.206 | -1824623.534 | -0.043 | 0.050 | 0.032 |
| S1 | 1429849.868 | -3495346.414 | -5122723.051 | -0.003 | -0.010 | 0.018 |
| S2 | 4163493.941 | -4163782.257 | -2444561.583 | -0.010 | -0.029 | 0.014 |
| S3 | 1942796.747 | -5804077.719 | -1796919.101 | 0.011 | 0.001 | 0.012 |
| S4 | 3855261.264 | -5049734.775 | 563057.823 | -0.001 | 0.000 | 0.011 |
| S5 | 1744399.113 | -6116037.818 | 512731.623 | 0.008 | 0.003 | 0.016 |
| S6 | 1815517.455 | -5213464.894 | -3187999.185 | 0.023 | -0.008 | 0.012 |
| S7 | 1838237.888 | -5258699.290 | -3100588.758 | 0.000 | -0.008 | 0.010 |
| S8 | 4985386.634 | -3954998.579 | -428426.495 | 0.001 | -0.004 | 0.011 |
| S9 | 4115014.089 | -4550641.526 | -1741444.074 | -0.009 | 0.002 | 0.012 |
| S10 | 1776346.761 | -5026544.301 | -3491183.639 | 0.022 | -0.007 | 0.007 |
| E1 | 4628047.415 | 119670.433 | 4372787.862 | -0.022 | 0.036 | 0.023 |
| E2 | -3465326.149 | 2638266.727 | 4644082.326 | -0.034 | -0.010 | -0.021 |
| E3 | 1945024.632 | 4556708.894 | 4004235.855 | -0.028 | 0.011 | 0.004 |
| E4 | 313666.400 | 5633552.658 | 2974736.784 | -0.051 | -0.003 | 0.036 |
| E5 | -1836963.593 | 6065626.713 | -716217.280 | -0.007 | -0.006 | -0.006 |
| E10 | -838277.769 | 3865776.963 | 4987626.689 | -0.042 | -0.007 | 0.003 |
| E12 | 2102940.348 | 721569.386 | 5958192.103 | -0.018 | 0.007 | 0.005 |
| E14 | 3370658.674 | 711877.032 | 5349786.866 | -0.014 | 0.015 | 0.007 |
| E15 | 2248123.333 | 865686.595 | 5886425.681 | -0.015 | 0.010 | 0.004 |
| E17 | 4052449.640 | 1417680.998 | 4701407.027 | -0.015 | 0.018 | 0.009 |
| E20 | 2844672.178 | 2161066.452 | 5266365.656 | -0.024 | 0.009 | 0.009 |
| E22 | 4379724.880 | 957495.740 | 4521605.120 | -0.015 | 0.014 | 0.014 |
| E25 | 4849202.472 | -360329.113 | 4114913.100 | -0.005 | 0.020 | 0.014 |
| E27 | 4075578.588 | 931852.690 | 4801570.033 | -0.016 | 0.017 | 0.007 |
| E28 | 3183914.191 | 1421473.552 | 5322796.805 | -0.016 | 0.005 | 0.009 |
| E30 | 4461399.528 | 919566.936 | 4449510.640 | -0.014 | 0.021 | 0.012 |