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authorMattias Andrée <maandree@operamail.com>2014-06-05 04:58:36 +0200
committerMattias Andrée <maandree@operamail.com>2014-06-05 04:59:35 +0200
commitab03f2b4b436aa424eb7300b7ba1d2ed9925201a (patch)
tree1873aba8cea26017f4045495f581380364bb93ec /src/solar.py
parentdoc (diff)
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m + wrap doc
Signed-off-by: Mattias Andrée <maandree@operamail.com>
Diffstat (limited to 'src/solar.py')
-rw-r--r--src/solar.py320
1 files changed, 213 insertions, 107 deletions
diff --git a/src/solar.py b/src/solar.py
index ead1653..b14ed47 100644
--- a/src/solar.py
+++ b/src/solar.py
@@ -23,42 +23,50 @@ import time
SOLAR_ELEVATION_SUNSET_SUNRISE = 0.0
'''
-:float The Sun's elevation at sunset and sunrise, measured in degrees
+:float The Sun's elevation at sunset and sunrise,
+ measured in degrees
'''
SOLAR_ELEVATION_CIVIL_DUSK_DAWN = -6.0
'''
-:float The Sun's elevation at civil dusk and civil dawn, measured in degrees
+:float The Sun's elevation at civil dusk and civil
+ dawn, measured in degrees
'''
SOLAR_ELEVATION_NAUTICAL_DUSK_DAWN = -12.0
'''
-:float The Sun's elevation at nautical dusk and nautical dawn, measured in degrees
+:float The Sun's elevation at nautical dusk and
+ nautical dawn, measured in degrees
'''
SOLAR_ELEVATION_ASTRONOMICAL_DUSK_DAWN = -18.0
'''
-:float The Sun's elevation at astronomical dusk and astronomical dawn, measured in degrees
+:float The Sun's elevation at astronomical dusk
+ and astronomical dawn, measured in degrees
'''
SOLAR_ELEVATION_RANGE_TWILIGHT = (-18.0, 0.0)
'''
-:(float, float) The Sun's lowest and highest elevation during all periods of twilight, measured in degrees
+:(float, float) The Sun's lowest and highest elevation during
+ all periods of twilight, measured in degrees
'''
SOLAR_ELEVATION_RANGE_CIVIL_TWILIGHT = (-6.0, 0.0)
'''
-:(float, float) The Sun's lowest and highest elevation during civil twilight, measured in degrees
+:(float, float) The Sun's lowest and highest elevation
+ during civil twilight, measured in degrees
'''
SOLAR_ELEVATION_RANGE_NAUTICAL_TWILIGHT = (-12.0, -6.0)
'''
-:(float, float) The Sun's lowest and highest elevation during nautical twilight, measured in degrees
+:(float, float) The Sun's lowest and highest elevation
+ during nautical twilight, measured in degrees
'''
SOLAR_ELEVATION_RANGE_ASTRONOMICAL_TWILIGHT = (-18.0, -12.0)
'''
-:(float, float) The Sun's lowest and highest elevation during astronomical twilight, measured in degrees
+:(float, float) The Sun's lowest and highest elevation during
+ astronomical twilight, measured in degrees
'''
@@ -73,7 +81,7 @@ def sun(latitude, longitude, t = None, low = -6.0, high = 3.0):
@param low:float The 100 % night limit elevation of the Sun (highest when not visible)
@param high:float The 100 % day limit elevation of the Sun (lowest while fully visible)
@return :float The visibilty of the Sun, 0 during the night, 1 during the day,
- between 0 and 1 during twilight. Other values will not occur.
+ between 0 and 1 during twilight. Other values will not occur
'''
t = julian_centuries() if t is None else t
e = solar_elevation(latitude, longitude, t)
@@ -85,7 +93,7 @@ def sun(latitude, longitude, t = None, low = -6.0, high = 3.0):
# The following functions are used to calculate the result for `sun`
# (most of them) but could be used for anything else. There name is
# should tell you enough, `t` (and `noon`) is in Julian centuries
-# except for in the convertion methods
+# except for in the convertion methods.
def julian_day_to_epoch(t):
@@ -279,7 +287,8 @@ def sun_apparent_longitude(t):
def mean_ecliptic_obliquity(t):
'''
- Calculates the mean ecliptic obliquity of the Sun's apparent motion without variation correction
+ Calculates the mean ecliptic obliquity of the Sun's
+ apparent motion without variation correction
@param t:float The time in Julian Centuries
@return :float The uncorrected mean obliquity, in radians
@@ -292,7 +301,8 @@ def mean_ecliptic_obliquity(t):
def corrected_mean_ecliptic_obliquity(t):
'''
- Calculates the mean ecliptic obliquity of the Sun's apparent motion with variation correction
+ Calculates the mean ecliptic obliquity of the Sun's
+ apparent motion with variation correction
@param t:float The time in Julian Centuries
@return :float The mean obliquity, in radians
@@ -317,7 +327,8 @@ def solar_declination(t):
def equation_of_time(t):
'''
- Calculates the equation of time, the discrepancy between apparent and mean solar time
+ Calculates the equation of time, the discrepancy
+ between apparent and mean solar time
@param t:float The time in Julian Centuries
@return :float The equation of time, in degrees
@@ -338,7 +349,8 @@ def hour_angle_from_elevation(latitude, declination, elevation):
'''
Calculates the solar hour angle from the Sun's elevation
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param longitude:float The longitude in degrees eastwards
+ from Greenwich, negative for westwards
@param declination:float The declination, in degrees
@param hour_angle:float The Sun's elevation, in degrees
@return :float The solar hour angle, in degrees
@@ -356,7 +368,8 @@ def elevation_from_hour_angle(latitude, declination, hour_angle):
'''
Calculates the Sun's elevation from the solar hour angle
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param longitude:float The longitude in degrees eastwards
+ from Greenwich, negative for westwards
@param declination:float The declination, in degrees
@param hour_angle:float The solar hour angle, in degrees
@return :float The Sun's elevation, in degrees
@@ -372,7 +385,8 @@ def time_of_solar_noon(t, longitude):
Calculates the time of the closest solar noon
@param t:float A time close to the seeked time, in Julian Centuries
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
@return :float The time, in Julian Centuries, of the closest solar noon
'''
t, rc = julian_centuries_to_julian_day(t), longitude
@@ -384,12 +398,15 @@ def time_of_solar_noon(t, longitude):
def time_of_solar_elevation(t, noon, latitude, longitude, elevation):
'''
- Calculates the time the Sun has a specified apparent elevation at a geographical position
+ Calculates the time the Sun has a specified apparent
+ elevation at a geographical position
@param t:float A time close to the seeked time, in Julian Centuries
@param noon:float The time of the closest solar noon
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
@param elevation:float The solar elevation, in degrees
@return :float The time, in Julian Centuries, of the specified elevation
'''
@@ -407,12 +424,16 @@ def time_of_solar_elevation(t, noon, latitude, longitude, elevation):
def solar_elevation_from_time(t, latitude, longitude):
'''
- Calculates the Sun's elevation as apparent from a geographical position
+ Calculates the Sun's elevation as apparent
+ from a geographical position
@param t:float The time in Julian Centuries
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
- @return :float The Sun's apparent at the specified time as seen from the specified position,
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
+ @return :float The Sun's apparent at the specified time
+ as seen from the specified position,
measured in degrees
'''
rc = julian_centuries_to_julian_day(t)
@@ -424,12 +445,17 @@ def solar_elevation_from_time(t, latitude, longitude):
def solar_elevation(latitude, longitude, t = None):
'''
- Calculates the Sun's elevation as apparent from a geographical position
-
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float The Sun's apparent at the specified time as seen from the specified position,
+ Calculates the Sun's elevation as apparent
+ from a geographical position
+
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float The Sun's apparent at the specified time
+ as seen from the specified position,
measured in degrees
'''
rc = julian_centuries() if t is None else t
@@ -441,12 +467,16 @@ def solar_elevation(latitude, longitude, t = None):
# TODO document
def have_sunrise_and_sunset(latitude, t = None):
'''
- Determine whether solar declination currently is so that there can be sunrises and sunsets.
- If not, you either have 24-hour daytime or 24-hour nighttime.
+ Determine whether solar declination currently is
+ so that there can be sunrises and sunsets. If not,
+ you either have 24-hour daytime or 24-hour nighttime.
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return Whether there can be sunrises and sunsets where you are located
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return Whether there can be sunrises and
+ sunsets where you are located
'''
t = julian_centuries() if t is None else t
d = degrees(solar_declination(t))
@@ -465,9 +495,12 @@ def is_summer(latitude, t = None):
'''
Determine whether it is summer
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return Whether it is summer on the hemisphere you are located on
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return Whether it is summer on the hemisphere
+ you are located on
'''
t = julian_centuries() if t is None else t
d = solar_declination(t)
@@ -479,9 +512,12 @@ def is_winter(latitude, t = None):
'''
Determine whether it is winter
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return Whether it is winter on the hemisphere you are located on
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return Whether it is winter on the hemisphere
+ you are located on
'''
t = julian_centuries() if t is None else t
d = solar_declination(t)
@@ -492,15 +528,21 @@ def is_winter(latitude, t = None):
# TODO document
def solar_prediction(delta, requested, fun, epsilon = 0.000001, span = 0.01, t = None):
'''
- Predict the time point of the next or previous time an arbitrary condition is meet
+ Predict the time point of the next or previous
+ time an arbitrary condition is meet
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param requested:float The value returned by `fun` for which to calculate the time point of occurrence
+ @param delta:float Iteration step size, negative for past
+ event, positive for future event
+ @param requested:float The value returned by `fun` for which to
+ calculate the time point of occurrence
@param fun:(t:float)→float Function that calculate the data of interest
@param epsilon:float Error tolerance for `requested`
- @param span:float The number of Julian centuries (0,01 for one year) to restrict the search to
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within the specified time span
+ @param span:float The number of Julian centuries (0,01 for
+ one year) to restrict the search to
+ @param t:float? The time in Julian Centuries, `None` for
+ the current time
+ @return :float? The calculated time point, `None` if none
+ were found within the specified time span
'''
t = julian_centuries() if t is None else t
t1 = t2 = t
@@ -542,8 +584,10 @@ def future_past_equinox(delta, t = None):
'''
Predict the time point of the next or previous equinox
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param delta:float Iteration step size, negative for
+ past event, positive for future event
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
@return :float The calculated time point
'''
return solar_prediction(delta, 0, solar_declination, t = t)
@@ -554,8 +598,10 @@ def future_equinox(t = None):
'''
Predict the time point of the next equinox
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param delta:float Iteration step size, negative for
+ past event, positive for future event
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
@return :float The calculated time point
'''
return future_past_equinox(0.01 / 2000, t)
@@ -566,8 +612,10 @@ def past_equinox(t = None):
'''
Predict the time point of the previous equinox
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param delta:float Iteration step size, negative for
+ past event, positive for future event
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
@return :float The calculated time point
'''
return future_past_equinox(0.01 / -2000, t)
@@ -579,13 +627,16 @@ def future_past_solstice(delta, t = None):
'''
Predict the time point of the next or previous solstice
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param delta:float Iteration step size, negative for
+ past event, positive for future event
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
@return :float The calculated time point
'''
e = 0.00001
- fun = lambda t : (solar_declination(t + e) - solar_declination(t - e)) / 2
- return solar_prediction(delta, 0, fun, t = t)
+ fun = solar_declination
+ dfun = lambda t : (fun(t + e) - fun(t - e)) / 2
+ return solar_prediction(delta, 0, dfun, t = t)
# TODO document
@@ -593,7 +644,8 @@ def future_solstice(t = None):
'''
Predict the time point of the next solstice
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param t:float? The time in Julian Centuries,
+ `None` for the current time
@return :float The calculated time point
'''
return future_past_solstice(0.01 / 2000, t)
@@ -604,7 +656,8 @@ def past_solstice(t = None):
'''
Predict the time point of the previous solstice
- @param t:float? The time in Julian Centuries, `None` for the current time
+ @param t:float? The time in Julian Centuries,
+ `None` for the current time
@return :float The calculated time point
'''
return future_past_solstice(0.01 / -2000, t)
@@ -613,111 +666,164 @@ def past_solstice(t = None):
def future_past_elevation(delta, latitude, longitude, elevation, t = None):
'''
- Predict the time point of the next or previous time the Sun reaches or reached a specific elevation
+ Predict the time point of the next or previous time
+ the Sun reaches or reached a specific elevation
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param delta:float Iteration step size, negative for past
+ event, positive for future event
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
@param elevation:float The elevation of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None` if
+ none were found within a year
'''
- return solar_prediction(delta, elevation, lambda t : solar_elevation(latitude, longitude, t), t = t)
+ fun = lambda t : solar_elevation(latitude, longitude, t)
+ return solar_prediction(delta, elevation, fun, t = t)
def future_elevation(latitude, longitude, elevation, t = None):
'''
- Predict the time point of the next time the Sun reaches a specific elevation
+ Predict the time point of the next time the Sun
+ reaches a specific elevation
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
@param elevation:float The elevation of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None` if
+ none were found within a year
'''
return future_past_elevation(0.01 / 2000, latitude, longitude, elevation, t)
def past_elevation(latitude, longitude, elevation, t = None):
'''
- Predict the time point of the previous time the Sun reached a specific elevation
+ Predict the time point of the previous time the Sun
+ reached a specific elevation
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
@param elevation:float The elevation of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None` if
+ none were found within a year
'''
return future_past_elevation(0.01 / -2000, latitude, longitude, elevation, t)
# TODO document
-def future_past_elevation_derivative(delta, latitude, longitude, elevation_derivative, t = None):
- '''
- Predict the time point of the next or previous time the Sun reaches or reached a specific elevation derivative
-
- @param delta:float Iteration step size, negative for past event, positive for future event
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
- @param elevation_derivative:float The elevation derivative value of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+def future_past_elevation_derivative(delta, latitude, longitude, derivative, t = None):
+ '''
+ Predict the time point of the next or previous time the
+ Sun reaches or reached a specific elevation derivative
+
+ @param delta:float Iteration step size, negative for past
+ event, positive for future event
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
+ @param derivative:float The elevation derivative value of interest
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None` if
+ none were found within a year
'''
fun = lambda t : solar_elevation(latitude, longitude, t)
dfun = lambda t : (fun(t + e) - fun(t - e)) / 2
- return solar_prediction(delta, elevation_derivative, dfun, t = t)
+ return solar_prediction(delta, derivative, dfun, t = t)
# TODO document
-def future_elevation_derivative(latitude, longitude, elevation_derivative, t = None):
+def future_elevation_derivative(latitude, longitude, derivative, t = None):
'''
- Predict the time point of the next time the Sun reaches a specific elevation derivative
+ Predict the time point of the next time the
+ Sun reaches a specific elevation derivative
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
- @param elevation_derivative:float The elevation derivative value of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
+ @param derivative:float The elevation derivative value of interest
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None` if
+ none were found within a year
'''
- return future_past_elevation_derivative(0.01 / 2000, latitude, longitude, elevation_derivative, t)
+ return future_past_elevation_derivative(0.01 / 2000, latitude, longitude, derivative, t)
# TODO document
-def past_elevation_derivative(latitude, longitude, elevation_derivative, t = None):
+def past_elevation_derivative(latitude, longitude, derivative, t = None):
'''
- Predict the time point of the previous time the Sun reached a specific elevation derivative
+ Predict the time point of the previous time
+ the Sun reached a specific elevation derivative
- @param latitude:float The latitude in degrees northwards from the equator, negative for southwards
- @param longitude:float The longitude in degrees eastwards from Greenwich, negative for westwards
- @param elevation_derivative:float The elevation derivative value of interest
- @param t:float? The time in Julian Centuries, `None` for the current time
- @return :float? The calculated time point, `None` if none were found within a year
+ @param latitude:float The latitude in degrees northwards from
+ the equator, negative for southwards
+ @param longitude:float The longitude in degrees eastwards from
+ Greenwich, negative for westwards
+ @param derivative:float The elevation derivative value of interest
+ @param t:float? The time in Julian Centuries, `None`
+ for the current time
+ @return :float? The calculated time point, `None`
+ if none were found within a year
'''
- return future_past_elevation_derivative(0.01 / -2000, latitude, longitude, elevation_derivative, t)
+ return future_past_elevation_derivative(0.01 / -2000, latitude, longitude, derivative, t)
# TODO: This algorithm is imprecise, gives an incorrent sunrise and I do not fully know its behaviour
def sunrise_equation(latitude, longitude, t = None):
+ # Calculate Julian Cycle
j_cent = julian_centuries() if t is None else t
j_date = julian_centuries_to_julian_day(j_cent)
j_cycle = int(j_date - 2451545.0009 - longitude / 360 + 0.5)
+
+ # Calculate approximate solar noon and solar man anomaly
approx_solar_noon = 451545.0009 + longitude / 360 + j_cycle
solar_mean_anomaly = int(357.5291 + 0.98560028 * (j_cycle - 2451545)) % 360
- equation_of_centre = 1.9148 * sin(1 * solar_mean_anomaly)
+
+ # Calculate solar equation of centre
+ equation_of_centre = 1.9148 * sin(1 * solar_mean_anomaly)
equation_of_centre += 0.0200 * sin(2 * solar_mean_anomaly)
equation_of_centre += 0.0003 * sin(3 * solar_mean_anomaly)
+
+ # Calculate solar ecliptic longitude
ecliptic_longitude = (solar_mean_anomaly + 102.9372 + equation_of_centre + 180) % 360
- solar_transit = approx_solar_noon + 0.0053 * sin(solar_mean_anomaly) - 0.0069 * sin(2 * ecliptic_longitude)
+
+ # Calculate solar transit
+ solar_transit = approx_solar_noon + 0.0053 * sin(solar_mean_anomaly)
+ solar_transit -= 0.0069 * sin(2 * ecliptic_longitude)
+
+ # Calculate solar declination
declination = asin(sin(ecliptic_longitude) * sin(radians(23.45)))
- hour_angle = sin(radians(-0.83))
+
+ # Calculate solar hour angle
+ hour_angle = sin(radians(-0.83))
hour_angle -= sin(latitude) * sin(declination)
hour_angle /= cos(latitude) * cos(declination)
hour_angle = degrees(acos(hour_angle))
- sunset = 2451545.0009 + (hour_angle + longitude) / 360 + j_cycle + solar_transit - approx_solar_noon
+
+ # Calculate time of sunset and sunrise
+ sunset = 2451545.0009 + (hour_angle + longitude) / 360
+ sunset += j_cycle + solar_transit - approx_solar_noon
sunrise = 2 * solar_transit - sunset
- return (julian_day_to_julian_centuries(sunset), julian_day_to_julian_centuries(sunrise))
+
+ # Convert to Julian Centuries
+ return (julian_day_to_julian_centuries(sunset),
+ julian_day_to_julian_centuries(sunrise))