SK:
Istý človek (182/100 [cm/kg]) bol na turistike. Keď začalo zapadať Slnko, ľahol si bradou k Zemi a začal sa kochať jeho západom. V momente, keď úplne zapadlo za obzor, zapol stopky. Potom sa postavil a znova začal pozorovať západ Slnka. Keď sa Slnko znova úplne schovalo za horizont 🌄, tak stopky zastavil. Čas na stopkách ⏱️ukázal hodnotu 11,280177 sek.
Miesto sa mu tak zapáčilo, že tam prespal a na druhý deň si tam urobil slnečné hodiny. Pravý miestny slnečný čas na pravé poludnie v ten deň meškal oproti občianskemu času o 32minút a 18,167 sekúnd.
V ten deň bol aj napísaný listing k tejto cache.
Nájdi to miesto.
legenda:
Pre výpočet použi nasledovný model.:
- Zem je elipsoid WGS 84, kde: a= 6378137,0000; b= 6356752,3142 [m]
- Jedna otáčka Zeme okolo svojej osi trvá :24 hodín (1 slnečný deň), rýchlosť rotácie je konštantná
- Zanedbávame: nadmorskú výšku, nutáciu a precesiu Zemskej osi, ohyb svetla pri prechode atmosférou, sklon tieňa nad obzorom, gravitácie iných nebeských telies, slapové deformácie plôch Zeme, priestupný/nepriestupný rok
- Berieme na vedomie: Analemu, nekruhovú trajektóriu obehu Zeme okolo Slnka, stredoeurópsky letný čas (občiansky čas) v dobe pozorovania. Časová rovnica je podľa SunCalc
- Poznámka: Oči nie sú na temene hlavy (-10cm) a ani nie na brade (+12cm). Pri výpočtoch buď dostatočne presný - aspoň na 6 desatinných miest.
---------------------------------------------------------------------------------------------------------------
EN:
Some person (182/100 [cm / kg]) went for hike. Just before the sunset, he laid down with his chin touching the ground and began to watch. At the moment when sun disappeared completely behind the horizon, he started the stopwatch. Then he stood up and began to observe the sunset again. When the Sun was again completely hidden behind the horizon 🌄 he stopped the stopwatch. It was showing 11.280177 seconds.
It was so much fun that he stayed there overnight and next day he built a sun watch on this place. The local sun time at noon on that day was delayed by 32 minutes and 18.167 seconds against the clock time.
This text was also written at the same day. Find the place.
The legend:
Use the following for calculation:
- The earth is an ellipsoid WGS 84 where: a = 6378137,0000; b = 6356752,3142 [m]
- One turn of the earth around its axis takes: 24 hours (1 sun time day), the speed of rotation is constant
- We neglect: the altitude, nutation and precession of the Earth's axis, light bending due to passage through the atmosphere, the slope of the shadow over the horizon, the gravitation of other celestial bodies, the tidal deformation of the Earth's surface, leap/normal year.
- We take in consideration: Analema, a non-circular trajectory of Earth around the Sun, Central European day light saving time at the time of observation. The time equation is taken from SunCalc
- Note: The eyes are 10cm below the top of the head and the chin is 12cm below the eyes. Use these numbers for calculations, and use precision with at least 6 significant decimal places for the best result.
-
