Skyfield: HomeTable of ContentsAPI Reference

Almanac Computation

The highest-level routines in Skyfield let you search back and forward through time for the exact moments when the Earth, Sun, and Moon are in special configurations.

They all require you to start by loading up a timescale object and also an ephemeris file that provides positions from the planets:

from skyfield import api

ts = api.load.timescale()
e = api.load('de421.bsp')

Then, load the “almanac” module.

from skyfield import almanac

Note that almanac computation can be slow and expensive. To determine the moment of sunrise, for example, Skyfield has to search back and forth through time asking for the altitude of the Sun over and over until it finally works out the moment at which it crests the horizon.

Rounding time to the nearest minute

If you compare almanac results to official sources like the United States Naval Observatory, the printed time will often differ because the Naval Observatory results are rounded to the nearest minute — any time with :30 or more seconds at the end gets named as the next minute.

If you try to display a date that needs to be rounded to the nearest minute by simply stopping at %M and leaving off the %S seconds, the output will be one minute too early. For example, the Naval Observatory would round 14:59 up to :15 in the following date.

t = ts.utc(2018, 9, 10, 5, 14, 59)
dt = t.utc_datetime()
print(dt.strftime('%Y-%m-%d %H:%M'))
2018-09-10 05:14

To do the same rounding yourself, simply add 30 seconds to the time before truncating the seconds.

from datetime import timedelta

def nearest_minute(dt):
    return (dt + timedelta(seconds=30)).replace(second=0, microsecond=0)

dt = nearest_minute(t.utc_datetime())
print(dt.strftime('%Y-%m-%d %H:%M'))
2018-09-10 05:15

The results should then agree with the tables produced by the USNO.

The Seasons

Create a start time and an end time to ask for all of the equinoxes and solstices that fall in between.

t0 = ts.utc(2018, 1, 1)
t1 = ts.utc(2018, 12, 31)
t, y = almanac.find_discrete(t0, t1, almanac.seasons(e))

for yi, ti in zip(y, t):
    print(yi, almanac.SEASON_EVENTS[yi], ti.utc_iso(' '))
0 Vernal Equinox 2018-03-20 16:15:27Z
1 Summer Solstice 2018-06-21 10:07:18Z
2 Autumnal Equinox 2018-09-23 01:54:06Z
3 Winter Solstice 2018-12-21 22:22:44Z

The result t will be an array of times, and y will be 0 through 3 for the Vernal Equinox through the Winter Solstice.

If you or some of your users live in the Southern Hemisphere, you can use the SEASON_EVENTS_NEUTRAL array. Instead of naming specific seasons, it names the equinoxes and solstices by the month in which they occur — so the March Equinox, for example, is followed by the June Solstice.

Phases of the Moon

The phases of the Moon are the same for everyone on Earth, so no Topos is necessary but only an ephemeris object.

t0 = ts.utc(2018, 9, 1)
t1 = ts.utc(2018, 9, 10)
t, y = almanac.find_discrete(t0, t1, almanac.moon_phases(e))

print([almanac.MOON_PHASES[yi] for yi in y])
['2018-09-03T02:37:24Z', '2018-09-09T18:01:28Z']
[3 0]
['Last Quarter', 'New Moon']

The result t will be an array of times, and y will be a corresponding array of Moon phases with 0 for New Moon and 3 for Last Quarter. You can use the array MOON_PHASES to retrieve names for each phase.

Opposition and Conjunction

The moment at which a planet is in opposition with the Sun or in conjunction with the Sun is when their ecliptic longitudes are at 0° or 180° difference.

t0 = ts.utc(2019, 1, 1)
t1 = ts.utc(2021, 1, 1)
f = almanac.oppositions_conjunctions(e, e['mars'])
t, y = almanac.find_discrete(t0, t1, f)

['2019-09-02T10:42:14Z', '2020-10-13T23:25:47Z']
[0 1]

The result t will be an array of times, and y will be an array of integers indicating which half of the sky the body has just entered: 0 means the half of the sky west of the Sun along the ecliptic, and 1 means the half of the sky east of the Sun. This means different things for different bodies:

Sunrise and Sunset

Because sunrise and sunset differ depending on your location on the Earth’s surface, you first need to create a Topos object describing your geographic location.

bluffton = api.Topos('40.8939 N', '83.8917 W')

Then you can create a start time and an end time and ask for all of the sunrises and sunsets in between. Skyfield uses the official definition of sunrise and sunset from the United States Naval Observatory, which defines them as the moment when the center — not the limb — of the sun is 0.8333 degrees below the horizon, to account for both the average radius of the Sun itself and for the average refraction of the atmosphere at the horizon.

t0 = ts.utc(2018, 9, 12, 4)
t1 = ts.utc(2018, 9, 13, 4)
t, y = almanac.find_discrete(t0, t1, almanac.sunrise_sunset(e, bluffton))

['2018-09-12T11:13:13Z', '2018-09-12T23:49:38Z']
[ True False]

The result t will be an array of times, and y will be True if the sun rises at the corresponding time and False if it sets.


An expanded version of the sunrise-sunset routine separately codes each of the phases of twilight using integers:

  1. Dark of night.
  2. Astronomical twilight.
  3. Nautical twilight.
  4. Civil twilight.
  5. Daytime.
t0 = ts.utc(2019, 11, 8, 5)
t1 = ts.utc(2019, 11, 9, 5)
t, y = almanac.find_discrete(t0, t1, almanac.dark_twilight_day(e, bluffton))
for ti, yi in zip(t, y):
    print(yi, ti.utc_iso())
1 2019-11-08T10:40:20Z
2 2019-11-08T11:12:31Z
3 2019-11-08T11:45:18Z
4 2019-11-08T12:14:15Z
3 2019-11-08T22:23:52Z
2 2019-11-08T22:52:49Z
1 2019-11-08T23:25:34Z
0 2019-11-08T23:57:44Z

Solar terms

The solar terms are widely used in East Asian calendars.

from skyfield import almanac_east_asia as almanac_ea

t0 = ts.utc(2019, 12, 1)
t1 = ts.utc(2019, 12, 31)
t, tm = almanac.find_discrete(t0, t1, almanac_ea.solar_terms(e))

for tmi, ti in zip(tm, t):
    print(tmi, almanac_ea.SOLAR_TERMS_ZHS[tmi], ti.utc_iso(' '))
17 大雪 2019-12-07 10:18:28Z
18 冬至 2019-12-22 04:19:26Z

The result t will be an array of times, and y will be integers in the range 0–23 which are each the index of a solar term. Localized names for the solar terms in different East Asia languages are provided as SOLAR_TERMS_JP for Japanese, SOLAR_TERMS_VN for Vietnamese, SOLAR_TERMS_ZHT for Traditional Chinese, and (as shown above) SOLAR_TERMS_ZHS for Simplified Chinese.