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calculates the sun position in a given pos(lat,long) and time. See references inside code
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# -*- coding: utf-8 -*- | |
import math | |
import datetime | |
#script for getting the sun position | |
def sunPosition( | |
_year,_month,_day,_hour, | |
_min = 0, | |
_sec = 0 , | |
_lat = 35.68, | |
_long=139.69, | |
_timeZone = 9.0 | |
): | |
''' | |
returns the azimuth and elevation of the | |
sun in a givent position and date time. | |
references: | |
*stackoverflow* | |
http://stackoverflow.com/questions/8708048/position-of-the-sun-given-time-of-day-latitude-and-longitude | |
*天体の位置計算* | |
http://www.amazon.co.jp/s/ref=nb_sb_noss_1?__mk_ja_JP=%E3%82%AB%E3%82%BF%E3%82%AB%E3%83%8A&url=search-alias%3Daps&field-keywords=%E5%A4%A9%E4%BD%93%E3%81%AE%E4%BD%8D%E7%BD%AE%E8%A8%88%E7%AE%97 | |
''' | |
#get day of the year Œ³’U‚©‚ç‚Ì“ú” | |
monthDays = [0,31,28,31,30,31,30,31,31,30,31,30] | |
day = _day+sum(monthDays[:_month]) | |
#leap year ‚¤‚邤”N | |
if (_year%4==0) and ((_year%400==0) or (_year%100!=0)) and (day >= 60): | |
day += 1 | |
#Julian Date - 2400000 | |
hour = _hour + (float(_min)/60) + (float(_sec)/3600) - _timeZone | |
delta = _year - 1949 | |
leap = math.trunc(delta/4) | |
jd = 32916.5 + delta * 365 + leap + day + hour / 24 | |
time = jd - 51545.0 | |
#Ecliptic coordinates ‰©“¹À•W | |
#Mean longitude •½‹Ï‰©Œo | |
mnlong = 280.460 + .9856474 * time | |
mnlong %= 360.0 | |
#Mean anomaly •½‹Ï‹ß“_Šp | |
mnanom = 357.528 + .9856003 * time | |
mnanom %= 360.0 | |
mnanom = math.radians(mnanom) | |
#Ecliptic longitude and obliquity of ecliptic | |
eclong = mnlong+1.915*math.sin(mnanom) + 0.020 * math.sin(2*mnanom) | |
eclong %= 360.0 | |
#‰©Œo: ‰©“¹‚ðŠî€‚Æ‚µ‚½Œo“xAt•ª“_‚ð0‚Æ‚µ‚Ä360‚Ü‚ÅAH‚Í180“x | |
eclong = math.radians(eclong) | |
#angle of equatorial plan and ecpliptic plane ’n‹…‚ÌŒX‚« | |
oblqec = 23.439 - 0.0000004 * time | |
oblqec = math.radians(oblqec) | |
#Celestial coordinates “V‘ÌÀ•W | |
#Right ascention and declination ÔŒo ‚Æ ÔˆÜ | |
num = math.cos(oblqec) * math.sin(eclong) | |
den = math.cos(eclong) | |
ra = math.atan(num / den) # <- ÔŒo | |
if den < 0 : ra += math.pi | |
if (den >= 0) and (num < 0): ra += math.pi*2 | |
dec = math.asin(math.sin(oblqec)* math.sin(eclong)) # <- ÔˆÜ | |
#Local coordinates | |
#greenwich mean sidereal time | |
gmst = (6.697375 + .0657098242 * time + hour) % 24 | |
#local mean sidereal time | |
lmst = (gmst + _long/15.0) % 24 | |
lmst = math.radians(lmst*15.0) | |
#hour angle ŽžŠp | |
ha = lmst - ra | |
if ha < -(math.pi): ha += math.pi*2 | |
elif ha > math.pi: ha -= math.pi*2 | |
#latitude to radians | |
lat = math.radians(_lat) | |
#azimuth and elevation | |
el = math.asin( | |
math.sin(dec)*math.sin(lat)+ | |
math.cos(dec)*math.cos(lat)*math.cos(ha) | |
) #‚“xi‹ÂŠpj | |
az = math.asin( | |
-math.cos(dec)*math.sin(ha)/math.cos(el) | |
) #•ûˆÊŠp | |
cosAzPos = 0 <= math.sin(dec) - math.sin(el) * math.sin(lat) | |
sinAzNeg = math.sin(az) < 0 | |
if cosAzPos and sinAzNeg : az += math.pi*2 | |
if not cosAzPos : az = math.pi - az | |
elevation = math.degrees(el) | |
azimuth = math.degrees(az) | |
latitude = math.degrees(lat) | |
return elevation,azimuth | |
if __name__ == "__main__": | |
#testing | |
year = 2013 | |
month = 6 | |
day = 14 | |
hour = 1 | |
min = 0 | |
sec = 0 | |
lat = 33.59 | |
long = 130.314 | |
sunP = sunPosition(year,month,day,hour,min,sec,lat,long) | |
print sunP |
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