152YFYG Fyzikální geodézie - úloha 3
Název úlohy
Výpočet lokálního geoidu pro body na území ČR
Zadání úlohy
K dispozici máte síť bodů na území střední Evropy se známými zeměpisnými souřadnicemi B, L, nivelační výškou H a měřeným tíhovým zrychlením g. Síť bodů je uložena v souboru TIHBODY.ASC. Dále vám poskytujeme parametry modelu geoidu EGM96, jmenovitě odlehlost od elipsoidu GRS80 a Fayovu anomálii v pravidelné mřížce bodů na území střední Evropy. Parametry modelu jsou uloženy v souboru EGM96.
Vypočítejte odlehlosti zadaných bodů ,, od geoidu EGM96 (tzv. lokální složku odlehlosti). Výpočet odlehlosti proveďte pomocí Stokesova integrálu. Jako vstupní hodnoty do integrálu volte rozdíly mezi Fayovou anomálií bodů sítě TIHBODY.ASC a Fayovou anomálií modelu EGM96 z oblasti obklopující zadané body. Tuto oblast (integrační síť) volte čtvercovou o rozměrech 2°2°.
Vypočítejte rovněž celkovou odlehlost bodů ,, od elipsoidu GRS80.
Numerické zadání
student(ka) | bod X1 | bod X2 | bod X3 | bod X4 | bod X5 | bod X6 | bod X7 | bod X8 | bod X9 | |||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | [°] | [min] | |
Bartoňová | 49 | 14 | 17 | 38 | 49 | 14 | 17 | 48 | 49 | 14 | 17 | 58 | 49 | 24 | 17 | 38 | 49 | 24 | 17 | 48 | 49 | 24 | 17 | 58 | 49 | 34 | 17 | 38 | 49 | 34 | 17 | 48 | 49 | 34 | 17 | 58 |
Bradáč | 49 | 14 | 17 | 58 | 49 | 14 | 18 | 08 | 49 | 14 | 18 | 18 | 49 | 24 | 17 | 58 | 49 | 24 | 18 | 08 | 49 | 24 | 18 | 18 | 49 | 34 | 17 | 58 | 49 | 34 | 18 | 08 | 49 | 34 | 18 | 18 |
Brůhová | 49 | 14 | 14 | 18 | 49 | 14 | 14 | 28 | 49 | 14 | 14 | 38 | 49 | 24 | 14 | 18 | 49 | 24 | 14 | 28 | 49 | 24 | 14 | 38 | 49 | 34 | 14 | 18 | 49 | 34 | 14 | 28 | 49 | 34 | 14 | 38 |
Buttorazová | 50 | 14 | 13 | 38 | 50 | 14 | 13 | 48 | 50 | 14 | 13 | 58 | 50 | 24 | 13 | 38 | 50 | 24 | 13 | 48 | 50 | 24 | 13 | 58 | 50 | 34 | 13 | 38 | 50 | 34 | 13 | 48 | 50 | 34 | 13 | 58 |
Čechová | 49 | 14 | 14 | 38 | 49 | 14 | 14 | 48 | 49 | 14 | 14 | 58 | 49 | 24 | 14 | 38 | 49 | 24 | 14 | 48 | 49 | 24 | 14 | 58 | 49 | 34 | 14 | 38 | 49 | 34 | 14 | 48 | 49 | 34 | 14 | 58 |
Dočkalová | 49 | 14 | 14 | 58 | 49 | 14 | 15 | 08 | 49 | 14 | 15 | 18 | 49 | 24 | 14 | 58 | 49 | 24 | 15 | 08 | 49 | 24 | 15 | 18 | 49 | 34 | 14 | 58 | 49 | 34 | 15 | 08 | 49 | 34 | 15 | 18 |
Dolista | 48 | 54 | 15 | 38 | 48 | 54 | 15 | 48 | 48 | 54 | 15 | 58 | 49 | 04 | 15 | 38 | 49 | 04 | 15 | 48 | 49 | 04 | 15 | 58 | 49 | 14 | 15 | 38 | 49 | 14 | 15 | 48 | 49 | 14 | 15 | 58 |
Ďoubal | 50 | 14 | 13 | 58 | 50 | 14 | 14 | 08 | 50 | 14 | 14 | 18 | 50 | 24 | 13 | 58 | 50 | 24 | 14 | 08 | 50 | 24 | 14 | 18 | 50 | 34 | 13 | 58 | 50 | 34 | 14 | 08 | 50 | 34 | 14 | 18 |
Dvořáček F. | 48 | 54 | 15 | 58 | 48 | 54 | 16 | 08 | 48 | 54 | 16 | 18 | 49 | 04 | 15 | 58 | 49 | 04 | 16 | 08 | 49 | 04 | 16 | 18 | 49 | 14 | 15 | 58 | 49 | 14 | 16 | 08 | 49 | 14 | 16 | 18 |
Dvořáček T. | 49 | 14 | 15 | 18 | 49 | 14 | 15 | 28 | 49 | 14 | 15 | 38 | 49 | 24 | 15 | 18 | 49 | 24 | 15 | 28 | 49 | 24 | 15 | 38 | 49 | 34 | 15 | 18 | 49 | 34 | 15 | 28 | 49 | 34 | 15 | 38 |
Dvořáková | 48 | 54 | 16 | 18 | 48 | 54 | 16 | 28 | 48 | 54 | 16 | 38 | 49 | 04 | 16 | 18 | 49 | 04 | 16 | 28 | 49 | 04 | 16 | 38 | 49 | 14 | 16 | 18 | 49 | 14 | 16 | 28 | 49 | 14 | 16 | 38 |
Fialová | 50 | 14 | 14 | 18 | 50 | 14 | 14 | 28 | 50 | 14 | 14 | 38 | 50 | 24 | 14 | 18 | 50 | 24 | 14 | 28 | 50 | 24 | 14 | 38 | 50 | 34 | 14 | 18 | 50 | 34 | 14 | 28 | 50 | 34 | 14 | 38 |
Frydecký | 50 | 14 | 14 | 38 | 50 | 14 | 14 | 48 | 50 | 14 | 14 | 58 | 50 | 24 | 14 | 38 | 50 | 24 | 14 | 48 | 50 | 24 | 14 | 58 | 50 | 34 | 14 | 38 | 50 | 34 | 14 | 48 | 50 | 34 | 14 | 58 |
Hanzalík | 48 | 54 | 16 | 38 | 48 | 54 | 16 | 48 | 48 | 54 | 16 | 58 | 49 | 04 | 16 | 38 | 49 | 04 | 16 | 48 | 49 | 04 | 16 | 58 | 49 | 14 | 16 | 38 | 49 | 14 | 16 | 48 | 49 | 14 | 16 | 58 |
Hlaváček | 48 | 54 | 16 | 58 | 48 | 54 | 17 | 08 | 48 | 54 | 17 | 18 | 49 | 04 | 16 | 58 | 49 | 04 | 17 | 08 | 49 | 04 | 17 | 18 | 49 | 14 | 16 | 58 | 49 | 14 | 17 | 08 | 49 | 14 | 17 | 18 |
Housarová | 50 | 14 | 14 | 58 | 50 | 14 | 15 | 08 | 50 | 14 | 15 | 18 | 50 | 24 | 14 | 58 | 50 | 24 | 15 | 08 | 50 | 24 | 15 | 18 | 50 | 34 | 14 | 58 | 50 | 34 | 15 | 08 | 50 | 34 | 15 | 18 |
Hulanová | 48 | 54 | 17 | 18 | 48 | 54 | 17 | 28 | 48 | 54 | 17 | 38 | 49 | 04 | 17 | 18 | 49 | 04 | 17 | 28 | 49 | 04 | 17 | 38 | 49 | 14 | 17 | 18 | 49 | 14 | 17 | 28 | 49 | 14 | 17 | 38 |
Jírová | 49 | 34 | 15 | 38 | 49 | 34 | 15 | 48 | 49 | 34 | 15 | 58 | 49 | 44 | 15 | 38 | 49 | 44 | 15 | 48 | 49 | 44 | 15 | 58 | 49 | 54 | 15 | 38 | 49 | 54 | 15 | 48 | 49 | 54 | 15 | 58 |
Junová | 50 | 14 | 15 | 18 | 50 | 14 | 15 | 28 | 50 | 14 | 15 | 38 | 50 | 24 | 15 | 18 | 50 | 24 | 15 | 28 | 50 | 24 | 15 | 38 | 50 | 34 | 15 | 18 | 50 | 34 | 15 | 28 | 50 | 34 | 15 | 38 |
Kaanová | 49 | 54 | 13 | 38 | 49 | 54 | 13 | 48 | 49 | 54 | 13 | 58 | 50 | 04 | 13 | 38 | 50 | 04 | 13 | 48 | 50 | 04 | 13 | 58 | 50 | 14 | 13 | 38 | 50 | 14 | 13 | 48 | 50 | 14 | 13 | 58 |
Kafková | 48 | 54 | 17 | 38 | 48 | 54 | 17 | 48 | 48 | 54 | 17 | 58 | 49 | 04 | 17 | 38 | 49 | 04 | 17 | 48 | 49 | 04 | 17 | 58 | 49 | 14 | 17 | 38 | 49 | 14 | 17 | 48 | 49 | 14 | 17 | 58 |
Kočí | 49 | 54 | 13 | 58 | 49 | 54 | 14 | 08 | 49 | 54 | 14 | 18 | 50 | 04 | 13 | 58 | 50 | 04 | 14 | 08 | 50 | 04 | 14 | 18 | 50 | 14 | 13 | 58 | 50 | 14 | 14 | 08 | 50 | 14 | 14 | 18 |
Kovařík | 49 | 34 | 15 | 58 | 49 | 34 | 16 | 08 | 49 | 34 | 16 | 18 | 49 | 44 | 15 | 58 | 49 | 44 | 16 | 08 | 49 | 44 | 16 | 18 | 49 | 54 | 15 | 58 | 49 | 54 | 16 | 08 | 49 | 54 | 16 | 18 |
Kozák | 48 | 54 | 17 | 58 | 48 | 54 | 18 | 08 | 48 | 54 | 18 | 18 | 49 | 04 | 17 | 58 | 49 | 04 | 18 | 08 | 49 | 04 | 18 | 18 | 49 | 14 | 17 | 58 | 49 | 14 | 18 | 08 | 49 | 14 | 18 | 18 |
Kozák2 | 48 | 34 | 17 | 18 | 48 | 34 | 17 | 28 | 48 | 34 | 17 | 38 | 48 | 44 | 17 | 18 | 48 | 44 | 17 | 28 | 48 | 44 | 17 | 38 | 48 | 54 | 17 | 18 | 48 | 54 | 17 | 28 | 48 | 54 | 17 | 38 |
Kratinohová | 49 | 34 | 16 | 18 | 49 | 34 | 16 | 28 | 49 | 34 | 16 | 38 | 49 | 44 | 16 | 18 | 49 | 44 | 16 | 28 | 49 | 44 | 16 | 38 | 49 | 54 | 16 | 18 | 49 | 54 | 16 | 28 | 49 | 54 | 16 | 38 |
Krejčí | 49 | 34 | 16 | 38 | 49 | 34 | 16 | 48 | 49 | 34 | 16 | 58 | 49 | 44 | 16 | 38 | 49 | 44 | 16 | 48 | 49 | 44 | 16 | 58 | 49 | 54 | 16 | 38 | 49 | 54 | 16 | 48 | 49 | 54 | 16 | 58 |
Kysela | 49 | 34 | 16 | 58 | 49 | 34 | 17 | 08 | 49 | 34 | 17 | 18 | 49 | 44 | 16 | 58 | 49 | 44 | 17 | 08 | 49 | 44 | 17 | 18 | 49 | 54 | 16 | 58 | 49 | 54 | 17 | 08 | 49 | 54 | 17 | 18 |
Luč | 48 | 34 | 17 | 38 | 48 | 34 | 17 | 48 | 48 | 34 | 17 | 58 | 48 | 44 | 17 | 38 | 48 | 44 | 17 | 48 | 48 | 44 | 17 | 58 | 48 | 54 | 17 | 38 | 48 | 54 | 17 | 48 | 48 | 54 | 17 | 58 |
Melicharová | 49 | 34 | 17 | 18 | 49 | 34 | 17 | 28 | 49 | 34 | 17 | 38 | 49 | 44 | 17 | 18 | 49 | 44 | 17 | 28 | 49 | 44 | 17 | 38 | 49 | 54 | 17 | 18 | 49 | 54 | 17 | 28 | 49 | 54 | 17 | 38 |
Mertová | 49 | 54 | 14 | 18 | 49 | 54 | 14 | 28 | 49 | 54 | 14 | 38 | 50 | 04 | 14 | 18 | 50 | 04 | 14 | 28 | 50 | 04 | 14 | 38 | 50 | 14 | 14 | 18 | 50 | 14 | 14 | 28 | 50 | 14 | 14 | 38 |
Novák | 49 | 34 | 17 | 38 | 49 | 34 | 17 | 48 | 49 | 34 | 17 | 58 | 49 | 44 | 17 | 38 | 49 | 44 | 17 | 48 | 49 | 44 | 17 | 58 | 49 | 54 | 17 | 38 | 49 | 54 | 17 | 48 | 49 | 54 | 17 | 58 |
Novotný | 49 | 54 | 14 | 38 | 49 | 54 | 14 | 48 | 49 | 54 | 14 | 58 | 50 | 04 | 14 | 38 | 50 | 04 | 14 | 48 | 50 | 04 | 14 | 58 | 50 | 14 | 14 | 38 | 50 | 14 | 14 | 48 | 50 | 14 | 14 | 58 |
Peterová | 49 | 54 | 14 | 58 | 49 | 54 | 15 | 08 | 49 | 54 | 15 | 18 | 50 | 04 | 14 | 58 | 50 | 04 | 15 | 08 | 50 | 04 | 15 | 18 | 50 | 14 | 14 | 58 | 50 | 14 | 15 | 08 | 50 | 14 | 15 | 18 |
Plecitá | 49 | 54 | 15 | 18 | 49 | 54 | 15 | 28 | 49 | 54 | 15 | 38 | 50 | 04 | 15 | 18 | 50 | 04 | 15 | 28 | 50 | 04 | 15 | 38 | 50 | 14 | 15 | 18 | 50 | 14 | 15 | 28 | 50 | 14 | 15 | 38 |
Riegerová | 49 | 34 | 13 | 38 | 49 | 34 | 13 | 48 | 49 | 34 | 13 | 58 | 49 | 44 | 13 | 38 | 49 | 44 | 13 | 48 | 49 | 44 | 13 | 58 | 49 | 54 | 13 | 38 | 49 | 54 | 13 | 48 | 49 | 54 | 13 | 58 |
Rytíř | 48 | 34 | 17 | 58 | 48 | 34 | 18 | 08 | 48 | 34 | 18 | 18 | 48 | 44 | 17 | 58 | 48 | 44 | 18 | 08 | 48 | 44 | 18 | 18 | 48 | 54 | 17 | 58 | 48 | 54 | 18 | 08 | 48 | 54 | 18 | 18 |
Sadílek | 49 | 34 | 13 | 58 | 49 | 34 | 14 | 08 | 49 | 34 | 14 | 18 | 49 | 44 | 13 | 58 | 49 | 44 | 14 | 08 | 49 | 44 | 14 | 18 | 49 | 54 | 13 | 58 | 49 | 54 | 14 | 08 | 49 | 54 | 14 | 18 |
Schwarzová | 49 | 34 | 14 | 18 | 49 | 34 | 14 | 28 | 49 | 34 | 14 | 38 | 49 | 44 | 14 | 18 | 49 | 44 | 14 | 28 | 49 | 44 | 14 | 38 | 49 | 54 | 14 | 18 | 49 | 54 | 14 | 28 | 49 | 54 | 14 | 38 |
Stelšovský | 49 | 34 | 17 | 58 | 49 | 34 | 18 | 08 | 49 | 34 | 18 | 18 | 49 | 44 | 17 | 58 | 49 | 44 | 18 | 08 | 49 | 44 | 18 | 18 | 49 | 54 | 17 | 58 | 49 | 54 | 18 | 08 | 49 | 54 | 18 | 18 |
Stolbenková | 48 | 34 | 18 | 18 | 48 | 34 | 18 | 28 | 48 | 34 | 18 | 38 | 48 | 44 | 18 | 18 | 48 | 44 | 18 | 28 | 48 | 44 | 18 | 38 | 48 | 54 | 18 | 18 | 48 | 54 | 18 | 28 | 48 | 54 | 18 | 38 |
Šárovec | 49 | 34 | 14 | 38 | 49 | 34 | 14 | 48 | 49 | 34 | 14 | 58 | 49 | 44 | 14 | 38 | 49 | 44 | 14 | 48 | 49 | 44 | 14 | 58 | 49 | 54 | 14 | 38 | 49 | 54 | 14 | 48 | 49 | 54 | 14 | 58 |
Šedina | 49 | 34 | 14 | 58 | 49 | 34 | 15 | 08 | 49 | 34 | 15 | 18 | 49 | 44 | 14 | 58 | 49 | 44 | 15 | 08 | 49 | 44 | 15 | 18 | 49 | 54 | 14 | 58 | 49 | 54 | 15 | 08 | 49 | 54 | 15 | 18 |
Šmejdová | 49 | 14 | 15 | 38 | 49 | 14 | 15 | 48 | 49 | 14 | 15 | 58 | 49 | 24 | 15 | 38 | 49 | 24 | 15 | 48 | 49 | 24 | 15 | 58 | 49 | 34 | 15 | 38 | 49 | 34 | 15 | 48 | 49 | 34 | 15 | 58 |
Šoul | 49 | 14 | 15 | 58 | 49 | 14 | 16 | 08 | 49 | 14 | 16 | 18 | 49 | 24 | 15 | 58 | 49 | 24 | 16 | 08 | 49 | 24 | 16 | 18 | 49 | 34 | 15 | 58 | 49 | 34 | 16 | 08 | 49 | 34 | 16 | 18 |
Šrutka | 48 | 34 | 18 | 38 | 48 | 34 | 18 | 48 | 48 | 34 | 18 | 58 | 48 | 44 | 18 | 38 | 48 | 44 | 18 | 48 | 48 | 44 | 18 | 58 | 48 | 54 | 18 | 38 | 48 | 54 | 18 | 48 | 48 | 54 | 18 | 58 |
Štefková | 49 | 34 | 15 | 18 | 49 | 34 | 15 | 28 | 49 | 34 | 15 | 38 | 49 | 44 | 15 | 18 | 49 | 44 | 15 | 28 | 49 | 44 | 15 | 38 | 49 | 54 | 15 | 18 | 49 | 54 | 15 | 28 | 49 | 54 | 15 | 38 |
Štepančič | 48 | 34 | 18 | 58 | 48 | 34 | 19 | 08 | 48 | 34 | 19 | 18 | 48 | 44 | 18 | 58 | 48 | 44 | 19 | 08 | 48 | 44 | 19 | 18 | 48 | 54 | 18 | 58 | 48 | 54 | 19 | 08 | 48 | 54 | 19 | 18 |
Vandasová | 49 | 14 | 16 | 18 | 49 | 14 | 16 | 28 | 49 | 14 | 16 | 38 | 49 | 24 | 16 | 18 | 49 | 24 | 16 | 28 | 49 | 24 | 16 | 38 | 49 | 34 | 16 | 18 | 49 | 34 | 16 | 28 | 49 | 34 | 16 | 38 |
Varyš | 49 | 14 | 16 | 38 | 49 | 14 | 16 | 48 | 49 | 14 | 16 | 58 | 49 | 24 | 16 | 38 | 49 | 24 | 16 | 48 | 49 | 24 | 16 | 58 | 49 | 34 | 16 | 38 | 49 | 34 | 16 | 48 | 49 | 34 | 16 | 58 |