155TG4 Teoretická geodézie 4 / úloha 4

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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 ftp://athena.fsv.cvut.cz/TG4/tektonika/zadani v souboru tg4_2019_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