Created
April 6, 2016 01:18
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When is your birthday if you're born on Feb 29th of a leap year?
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from skyfield.api import load | |
from scipy import optimize | |
from datetime import datetime | |
from dateutil import tz | |
import pandas as pd | |
import numpy as np | |
import matplotlib.pyplot as plt | |
def earthPosition(t1): | |
planets = load('de430.bsp') | |
sun, earth, mars = planets['SUN'], planets['EARTH BARYCENTER'], planets['MARS BARYCENTER'] | |
ts = load.timescale() | |
t0 = ts.utc(2016, 2, 29, 21, 33, 0) # UTC | |
astrometric = sun.at(t0).observe(earth) | |
ra0, dec0, distance0 = astrometric.radec() | |
t1 = ts.tai(jd=t1) | |
astrometric1 = sun.at(t1).observe(earth) | |
ra1, dec1, distance1 = astrometric1.radec() | |
return abs( dec0.radians - dec1.radians ) | |
def findBirthday( yr ): | |
ts = load.timescale() | |
tmin = ts.utc(yr,2,28,0,0,0).tai | |
tmax = ts.utc(yr,3,1,23,59,59).tai | |
x0 = ts.utc(yr,2,28,23,59,59).tai | |
best, val, des = optimize.fmin_l_bfgs_b(earthPosition, x0, bounds=[(tmin,tmax)], | |
approx_grad=True, iprint=-1) | |
tres = ts.tai(jd=best).utc_iso() | |
tres = datetime.strptime(tres[0],'%Y-%m-%dT%H:%M:%SZ') | |
tres = tres.replace(tzinfo=tz.gettz("UTC")) | |
return(tres.astimezone(tz.gettz("America/Edmonton"))) | |
birthdays = [] | |
for year in range(2016,2025): | |
result = findBirthday(year) | |
birthdays.append(str(result)) | |
print(str(year) + ": " + str(result)) | |
df = pd.DataFrame({'Year' : range(2016,2025), 'Birthday' : birthdays}) | |
df.to_csv('birthdays.csv') | |
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