155TG4 Teoretická geodézie 4 / úloha 3: Porovnání verzí

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Holesovsky (diskuse | příspěvky)
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m změna pořadí úloh 2 a 3
Řádek 1: Řádek 1:
==Název úlohy==
==Název úlohy==
Určení astronomické orientace z měření na Slunce
Transformace mezi ICRS a ITRS


==Zadání úlohy==
==Zadání úlohy==
* 1. Z měřených zenitových vzdáleností Slunce a časů určete zeměpisnou šířku stanoviska. Zeměpisnou délku získáte výpočtem ze souřadnic pilíře na střeše budovy B, kde se měření uskuteční. Pro opravu z astronomické refrakce je nezbytné zjišťovat teplotu a atmosférický tlak. Údaje potřebné pro převody časů hledejte na http://maia.usno.navy.mil/.
;Příklad 1


* 2. Z měřených vodorovných směrů na Slunce a zvolený trigonometrický bod a registrovaných časů určete směrník vybraného pozemního cíle v S-JTSK.


SOUŘADNICE BODŮ V S-JTSK
;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.


* Pilíře ve směru od kopule:
==Numerické zadání==
''Souřadnice stanic:''
{| class="border"                                                     
!rowspan="2" | Číslo bodu                                 


                              744 958,501 ;  1 040 903,614
!colspan="1" | X
                              744 953,997 ;  1 040 899,645
!colspan="1" | Y
                              744 949,543 ;  1 040 895,652
!colspan="1" | Z
                              744 945,041 ;  1 040 891,676
!colspan="1" |v<sub>x</sub>
                              744 940,536 ;  1 040 887,706
!colspan="1" |v<sub>y</sub>
!colspan="1" |v<sub>z</sub>
|-                                                   
![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
|}


* Hradčany, chrám sv. Víta :
 
                              744 233,46  ;  1 042 459,18
Číslo zadání studenta odpovídá číslování uvedenému na stránkách cvičení TG4.
* Dejvice, kostel sv. Matěje:
                              745 528,16  ;  1 039 747,32
* Dejvice, Bohoslovecká kolej:
                              744 353,25  ;  1 041 630,01
* Střešovice, kostel sv. Norberta:
                              745 838,34  ;  1 042 134,49


==Dokumenty ke stažení==
==Dokumenty ke stažení==

Verze z 6. 3. 2015, 13:27

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.

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