155TG4 Teoretická geodézie 4 / úloha 2: Porovnání verzí
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==Zadání úlohy== | ==Zadání úlohy== | ||
Příklad 1 | ;Příklad 1 | ||
Příklad 2 | ;Příklad 2 | ||
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. | 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. | ||
==Numerické zadání== | ==Numerické zadání== | ||
Verze z 6. 2. 2015, 13:17
Název úlohy
Transformace mezi ICRS a ITRS
Zadání úlohy
- Příklad 1
- Příklad 2
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.
Numerické zadání
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 |
Číslo zadání studenta odpovídá číslování uvedenému na stránkách cvičení TG4.