155TG4 Teoretická geodézie 4 / úloha 4
Název úlohy
Změna vzdálenosti stanic vlivem pohybu tektonických desek
Zadání úlohy
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 obsahující přehled zadaných bodů naleznete v adresáři http://athena.fsv.cvut.cz:8000/TG4/tektonika/zadani v souboru tg4_2022_u4_xx.m, kde xx je číslo zadání. Číslo zadání studenta odpovídá číslování uvedenému na hlavní stránce cvičení TG4.
Souřadnice stanic v ITRF a jejich časové změny:
Číslo bodu | X | Y | Z | vx | vy | vz |
---|---|---|---|---|---|---|
[m] | [m] | [m] | [m/rok] | [m/rok] | [m/rok] | |
NOAM01 | 1107623.504 | -4347253.857 | 4518738.205 | -0.021 | 0.006 | -0.004 |
NOAM02 | -3997895.263 | 3276581.277 | 3724118.220 | -0.001 | 0.002 | -0.013 |
NOAM03 | -3425462.014 | -1214669.103 | 5223858.170 | -0.020 | 0.002 | -0.012 |
NOAM05 | -3957199.232 | 3310199.672 | 3737711.700 | -0.001 | 0.003 | -0.012 |
NOAM06 | 2612631.240 | -3426807.018 | 4686757.797 | -0.017 | -0.003 | 0.006 |
NOAM07 | -2327188.109 | -3522529.016 | 4764832.376 | -0.010 | -0.004 | -0.004 |
NOAM13 | -2356494.167 | -4646607.648 | 3668426.617 | -0.014 | 0.004 | -0.004 |
NOAM15 | -2517230.998 | -4198595.166 | 4076531.255 | -0.020 | 0.007 | -0.005 |
NOAM17 | -1923992.768 | -4850854.648 | 3658589.345 | -0.018 | -0.014 | 0.001 |
NOAM18 | -236438.698 | -3307616.783 | 5430049.171 | -0.019 | -0.001 | -0.003 |
NOAM19 | -2084258.000 | -3313872.985 | 5019853.101 | -0.018 | -0.004 | -0.004 |
NOAM23 | -1640916.785 | -5014781.200 | 3575447.139 | -0.013 | -0.003 | -0.008 |
NOAM24 | -2443215.363 | -4706037.511 | 3533477.628 | -0.026 | 0.020 | 0.012 |
NOAM25 | -2507798.441 | -4676370.038 | 3526890.659 | -0.027 | 0.030 | 0.015 |
AUST01 | -4446470.656 | 3678101.947 | -3696274.114 | -0.037 | -0.005 | 0.048 |
AUST02 | -2389003.943 | 5043340.608 | -3078513.083 | -0.050 | 0.006 | 0.049 |
AUST03 | -5288462.907 | 3410034.488 | -1038802.601 | -0.013 | -0.018 | 0.041 |
AUST04 | -741950.004 | 6190961.634 | -1337768.594 | -0.042 | 0.008 | 0.054 |
AUST05 | -5105681.020 | 461564.046 | -3782181.767 | -0.025 | -0.019 | 0.032 |
AUST06 | -2368686.972 | 4881316.520 | -3341796.170 | -0.051 | 0.008 | 0.048 |
AUST07 | -4460996.134 | 2682557.080 | -3674443.702 | -0.037 | -0.005 | 0.048 |
AUST08 | -3950071.365 | 2522415.187 | -4311638.367 | -0.041 | 0.005 | 0.042 |
AUST09 | -3464038.503 | 1334172.762 | -5169224.328 | -0.023 | 0.010 | 0.017 |
AFRC01 | 5084641.525 | 2670349.942 | -2768497.868 | 0.001 | 0.019 | 0.016 |
AFRC02 | 6104828.435 | -605837.464 | -1740706.361 | 0.017 | 0.013 | 0.037 |
AFRC03 | 4221385.103 | -2549305.709 | 4031509.438 | -0.047 | 0.002 | 0.039 |
AFRC04 | 5992632.027 | 775892.325 | 2035862.615 | -0.016 | 0.012 | 0.026 |
AFRC05 | 3602870.770 | 5238174.333 | -516275.526 | -0.014 | 0.014 | 0.014 |
AFRC06 | 4443965.778 | 3121945.343 | 3334693.829 | -0.029 | 0.014 | 0.018 |
AFRC07 | 4552174.608 | -2186664.682 | 3882779.801 | -0.002 | 0.017 | 0.014 |
AFRC08 | 6287388.576 | 1071574.280 | 39147.203 | -0.002 | 0.022 | 0.030 |
AFRC09 | 4583119.424 | 4250952.194 | 1266247.694 | -0.009 | 0.022 | 0.015 |
AFRC11 | 4934528.888 | 1321133.371 | 3806522.725 | -0.016 | 0.019 | 0.016 |
AFRC13 | 4865366.492 | 4110737.456 | -331121.726 | -0.011 | 0.018 | 0.013 |
AFRC16 | 5886437.383 | -1848461.534 | 1611441.844 | 0.001 | 0.009 | 0.037 |
AFRC18 | 4728283.350 | 2879670.437 | 3156894.718 | -0.029 | 0.015 | 0.016 |
ANTA01 | 1766498.945 | 1460274.416 | -5932211.697 | 0.015 | -0.002 | 0.002 |
ANTA02 | 909378.219 | -2264934.504 | -5872956.865 | 0.025 | 0.002 | 0.009 |
ANTA03 | 1086061.543 | 4927963.013 | -3887828.277 | -0.011 | -0.006 | -0.001 |
ANTA04 | -1941059.579 | 1628659.353 | -5833613.495 | 0.020 | -0.006 | -0.002 |
ANTA05 | -5739993.699 | 1387548.343 | -2402085.312 | -0.010 | -0.017 | 0.037 |
ANTA06 | -1310695.203 | 310468.793 | -6213363.554 | 0.001 | -0.018 | -0.029 |
ANTA07 | 1525872.478 | -2432481.299 | -5676146.095 | 0.018 | 0.001 | 0.003 |
ANTA08 | 1405826.342 | 3918281.678 | -4816204.145 | 0.000 | -0.001 | -0.010 |
ANTA09 | 486854.548 | 2285099.304 | -5914955.697 | 0.004 | -0.011 | -0.005 |
ANTA10 | -901776.164 | 2409383.423 | -5816748.437 | -0.001 | -0.010 | -0.019 |
PCFC01 | -5543974.638 | -2054589.905 | 2387488.164 | -0.008 | 0.062 | 0.030 |
PCFC02 | -5075278.498 | 3565110.795 | 1483590.918 | 0.007 | 0.007 | 0.004 |
PCFC03 | -4590670.919 | -275483.000 | -4404596.788 | -0.024 | 0.014 | 0.025 |
PCFC04 | -5246579.824 | -3076973.090 | -1913777.115 | -0.042 | 0.043 | 0.029 |
PCFC06 | -6160881.011 | 1339882.965 | 960810.459 | 0.024 | 0.069 | 0.030 |
PCFC07 | -5227446.489 | 2551379.696 | 2607604.983 | 0.040 | 0.058 | 0.023 |
PCFC09 | -2533219.937 | -4631543.812 | 3568400.453 | -0.029 | 0.014 | 0.019 |
PCFC11 | -2540621.950 | -4682555.611 | 3495319.213 | -0.028 | 0.021 | 0.019 |
PCFC14 | -2428826.113 | -4799750.273 | 3417272.849 | -0.028 | 0.024 | 0.014 |
PCFC15 | -1997242.136 | -5528041.092 | 2468355.411 | -0.042 | 0.019 | 0.012 |
PCFC17 | -2529744.282 | -1942091.087 | 5505028.100 | -0.015 | 0.024 | 0.012 |
PCFC19 | -2335601.361 | -4832243.875 | 3434392.774 | -0.031 | 0.025 | 0.019 |
PCFC21 | -6195393.716 | -413727.903 | -1454075.319 | -0.003 | 0.077 | 0.025 |
PCFC30 | -5245195.335 | -3080472.189 | -1912825.385 | -0.042 | 0.043 | 0.029 |
PCFC31 | -5345865.691 | -2958246.206 | -1824623.534 | -0.043 | 0.050 | 0.032 |
SOAM01 | 1429849.868 | -3495346.414 | -5122723.051 | -0.003 | -0.010 | 0.018 |
SOAM02 | 4163493.941 | -4163782.257 | -2444561.583 | -0.010 | -0.029 | 0.014 |
SOAM03 | 1942796.747 | -5804077.719 | -1796919.101 | 0.011 | 0.001 | 0.012 |
SOAM04 | 3855261.264 | -5049734.775 | 563057.823 | -0.001 | 0.000 | 0.011 |
SOAM05 | 1744399.113 | -6116037.818 | 512731.623 | 0.008 | 0.003 | 0.016 |
SOAM06 | 1815517.455 | -5213464.894 | -3187999.185 | 0.023 | -0.008 | 0.012 |
SOAM07 | 1838237.888 | -5258699.290 | -3100588.758 | 0.000 | -0.008 | 0.010 |
SOAM08 | 4985386.634 | -3954998.579 | -428426.495 | 0.001 | -0.004 | 0.011 |
SOAM09 | 4115014.089 | -4550641.526 | -1741444.074 | -0.009 | 0.002 | 0.012 |
SOAM10 | 1776346.761 | -5026544.301 | -3491183.639 | 0.022 | -0.007 | 0.007 |
EURA01 | 4628047.415 | 119670.433 | 4372787.862 | -0.022 | 0.036 | 0.023 |
EURA02 | -3465326.149 | 2638266.727 | 4644082.326 | -0.034 | -0.010 | -0.021 |
EURA03 | 1945024.632 | 4556708.894 | 4004235.855 | -0.028 | 0.011 | 0.004 |
EURA04 | 313666.400 | 5633552.658 | 2974736.784 | -0.051 | -0.003 | 0.036 |
EURA05 | -1836963.593 | 6065626.713 | -716217.280 | -0.007 | -0.006 | -0.006 |
EURA10 | -838277.769 | 3865776.963 | 4987626.689 | -0.042 | -0.007 | 0.003 |
EURA12 | 2102940.348 | 721569.386 | 5958192.103 | -0.018 | 0.007 | 0.005 |
EURA14 | 3370658.674 | 711877.032 | 5349786.866 | -0.014 | 0.015 | 0.007 |
EURA15 | 2248123.333 | 865686.595 | 5886425.681 | -0.015 | 0.010 | 0.004 |
EURA17 | 4052449.640 | 1417680.998 | 4701407.027 | -0.015 | 0.018 | 0.009 |
EURA20 | 2844672.178 | 2161066.452 | 5266365.656 | -0.024 | 0.009 | 0.009 |
EURA22 | 4379724.880 | 957495.740 | 4521605.120 | -0.015 | 0.014 | 0.014 |
EURA25 | 4849202.472 | -360329.113 | 4114913.100 | -0.005 | 0.020 | 0.014 |
EURA27 | 4075578.588 | 931852.690 | 4801570.033 | -0.016 | 0.017 | 0.007 |
EURA28 | 3183914.191 | 1421473.552 | 5322796.805 | -0.016 | 0.005 | 0.009 |
EURA30 | 4461399.528 | 919566.936 | 4449510.640 | -0.014 | 0.021 | 0.012 |